Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. How many hours will she need to babysit to buy the dress

Answers

Answer 1

Answer:

Down below. was solved using an equation.

Step-by-step explanation:

\(y=40+9x\\y=112\\112=40+9x\\112-40=40+9x-40\\72=9x\\72/9=9x/9\\8=x\)

She would need 8 hours of babysiting


Related Questions

B
D
A
Select the statement that is true about the diagram above.
OmZCAB + m ABC
m BCD
O MZABC + m BCD
mZCAB
OmZCAB + m BCD
тZABC

BDASelect the statement that is true about the diagram above.OmZCAB + m ABCm BCDO MZABC + m BCDmZCABOmZCAB

Answers

Answer:

first option

Step-by-step explanation:

I'm not really sure myself but I think the first option is the best option to choose because the others aren't really that true and if you look the angle c is much bigger than the other angles so I think the first option is more likely

The bar graph shows the number of floral arrangement sales each day for one week. What percent of the sales were on Friday or Saturday? Round to the nearest hundredth of a percent.

Answers

The percent of sales happened on  Friday and  Saturday are respectively, 26.3% &  31.6%

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The bar graph,

In which, Horizontal digits are representing number of shirts,

And vertical component is representing week days

The number of shirts sold  on Friday = 50

The number of shirts sold  on Saturday = 60

Percentage of sales on Friday = ?

Percentage of sales on Saturday = ?

Total sales = Monday + Tuesday + Wednesday + Thursday + Friday +            Saturday

                  = 15+ 10 + 20 + 35 + 50 + 60

                  = 190

Percentage of sales on Friday =   (50/190)x100

                                                   =   26.300 %

Percentage of sales on Saturday =   (60/190)x100

                                                       =   31.600 %

Therefore, the percentage on Friday and Saturday are respectively, 26.3% &  31.6%

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Assume you deposited $3,200 in an account two years ago and are depositing another $5,000 today. You will make a final deposit of $3,500 one year from now. What will your account balance be three years from now if the account pays 4.85 percent interest, compounded annually?
Multiple Choice
$13,033.95
$14,328.90
$12,431.05
$13,666.10
$13,430.84

Answers

The account balance three years from now will be $13,666.10. So, the correct option is D) $13,666.10.

To calculate the account balance after three years, you can use the formula: A = P(1 + r/n)^(nt)where A is the final amount, P is the principal amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time (in years).In this question, the principal amount (P) is $3,200 + $5,000 + $3,500 = $11,700. The annual interest rate (r) is 4.85%, compounded annually (n = 1) for three years (t = 3). Therefore, plugging the values into the formula, we get A = $11,700(1 + 0.0485/1)^(1×3)Simplifying the expression: A = $11,700(1.0485)^3A = $13,666.10

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Robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. 1 2 b. 3 20 c. 3 10 d. 1 5 e. 1 3

Answers

The number selected is the square of a natural number is 1/5.

What is probability and example?

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by -

P = Square number /total numbers

P = 4/20 = 1/5

Therefore,  the number selected is the square of a natural number is 1/5.

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i need help with these 2 i think there both b but im not sure can someone pls help

i need help with these 2 i think there both b but im not sure can someone pls help
i need help with these 2 i think there both b but im not sure can someone pls help

Answers

i answered these! they are both b (:

Which formula would you use to calculate the total enclosed space of firm’s 3 structure?

Answers

To calculate the total enclosed space of a firm's 3 structures, you would need to measure the interior space of each structure and then add the three values together.

Why it is?

Assuming that each structure is a simple rectangular prism, the formula to calculate the volume (enclosed space) of a rectangular prism is:

Volume = Length x Width x Height

Therefore, to calculate the total enclosed space of the three structures, you would use the following formula:

Total Enclosed Space = Volume of Structure 1 + Volume of Structure 2 + Volume of Structure 3

where the volume of each structure would be calculated using the formula:

Volume of Structure = Length x Width x Height

Make sure to use the same unit of measurement for all three dimensions (length, width, and height) for each structure to ensure accurate calculations.

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Complete Question:

What formula would you use to calculate the total enclosed space of a firm's three structures? Please provide the necessary information such as the dimensions or measurements of each structure and the units used, if available, to accurately calculate the total enclosed space.

The correlation coefficient (r) between the number of volunteers x and the number
of bags of trash collected y is 0.775.
What percent of the variation in the number of bags of trash collected can be
explained by differences in the number of volunteers? (Only state the number of the
percent in the answer blank, do not include the % in the answer blank, as the
computer already knows it is a percentage)

Answers

Differences with in number of volunteers can explain  60.01% of the variation in the amount of trash bags collected.

What is termed as the correlation coefficient?In a correlation analysis, the correlation coefficient is indeed the direct measurement that quantifies the strength of a linear relationship between two variables. In a correlation report, the coefficient is represented by the letter r.

The coefficient of correlation (r) between both the number of volunteers x and also the number of trash bags collected y is 0.775.

To calculate the percentage of variation for one derivative contract by the other, simply square the correlation coefficient.

Here, r = 0.775

Squaring both side.

r² = 0.775²

r² = 0.600625

Simply multiply with 100 to get the percent.

r² = 60.0625

r² = 60.01

Thus, differences in the number of volunteers can explain 60.01% of the variation in the number of trash bags collected.

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Numeric entry e-tering a numeric answer. These numeit entry fieles can appear with a veriefy of seitings, such as the body sf a paragraph or a teble. Complere rhe following stanemoot to sas numark ancry in actiov. The surn of 1,400 and 3,000 is Can I enter negative numbers and declmals? however, youm need to enter a minus sign to represent a negative nutber, ar a decimal to represent a noninteper. Compiefe fhe fowsing tabie fo see now cecimas and negarive favoers work. How do 1 lanow if 1 got the answer right? Once you have submitted your answers for an entire problem, your individual anseers wil be marked elther cortedt with a green check or lncorrect with a red X. At this point, you msy select the entery fleid to reveal the comect answer; selecting it again will hide the correct answec. True of rase: The cerrect answer ts a numeric entry feid wal a comaccaly be pcputated in the correct faid arter you cpen the enptanations. True False Is entering 20,000,000 the same as entering 20 million? Pay careful astention to the instructions gNen in the prediem for how to enter your answer. Far wampe, if a questicn specines thar yeu give your the field in a paragraph. Complefe fhe foloming fab'e fo demonswafe your enderstwising of chis A case headers. What if my answer doesn't fit In the space I'm glven? If you find yourseif trying to enter a numiar that tha flaid coes not a ow (eithar because thare is not anough space or because it dees not acospt decmal values), eread the inseructisns to make sure yeu are antarng the number in the correct rermar. Complere the following statement to domonstrate your undortanding of in-line unite. The 8um or se0,Ded and so0,000 is milion. What about currency? You do not need to enter the symbois for currency. For exampia, if you enter d doocuo0 inco a numenc antry ceil that daas with currency and than need to enter declmas as well. Complere rhe folkuing staramost no ses now curency warks. If rou sfart out with $2.55 and find an addilonel 54.65 in your pocket, you will have a total of What about percentages? As with che curency symbo, ir a perecarage symbsi 15 recured, It wil autemancaly apsear aisngside your numenc entry after you exil tre numerte zypese as 65%. (Note: Mthouph 65% can also be represented as 0.65, if you were to enter 0.65 into a field that automaticaly comerts to percencages, this would be fomatted as 0.65% and would be graded as incerrect, because 0.65% is not equal to 65%.) Complete the following statement to see how percentages work. As a percentage, \$22.00 ia equal tD of $40.00.

Answers

The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

Can I enter negative numbers and decimals?

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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find the support and confidence of this transaction
A = I2, B = I3
Let 1 = {1,, I, I...... 1.} be a set of items, where I, denotes an item ID. Consider the transaction database D, defined in the table below: Transaction ID List of Items in the Transaction T₂ I, I,

Answers

For confidence interval: support of the association rule A to B is 0.5 and the confidence of the association rule A to B is 0.5.

For Support and confidence of the association rule A - B

To determine the support and the confidence of the association rule A → B, where A = {1, }, B = {1}, we use the formulas given below:

Support(A → B) = frequency of (A, B) / N

Confidence(A → B) = frequency of (A, B) / frequency of A

where N is the number of transactions in the database.

To find the frequency of (A, B) and the frequency of A.

Thus Frequency of (A, B) = 1

Since there is only one transaction in the database where both A and B occur, the frequency of (A, B) is 1.

Frequency of A = 2

The itemset {1, } occurs in two transactions T₁ and T₂.

Hence, the frequency of A is 2.

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Solve for x using
cross multiplication
2x + 1 = x+5
2x + 1
3
x = [?]

Solve for x usingcross multiplication2x + 1 = x+52x + 13x = [?]

Answers

x = 13

Step-by-step explanation:

\( \frac{2x + 1}{3} = \frac{x + 5}{2} \\ 2(2x + 1) = 3(x + 5) \\ \: \: \: \: 4x + 2 = 3x + 15 \\ 4x - 3x = 15 - 2 \: \\ \: \: \: x = 13\)

help with this question

help with this question

Answers

Answer:

option D is correct

x=O and x=-8

D is right. X is 0 and 8

find the GCF using factor trees 10, 54 show your work

Answers

Hiiii hows ur day going!

mayas computer screen has a ratio of width to height of 4:3 if her screen is 28 inches wide what is the height?​

Answers

Answer:

21 inches

Step-by-step explanation:

Factor the expression completely by first taking out a common factor
3x^2 + 27x +24

Answers

The answer to this is
3(x+1)(x+8)

Quicksort help. Is this correct?
Given numbers \( =(27,56,46,57,99,77,90) \), pivot \( =77 \) What is the low partition after the partitioning algorithm is completed? (comna between values) What is the high partition after the partit

Answers

In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

Given the numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57) and the high partition is (99, 77, 90).

First, to understand the partitioning algorithm in Quicksort, let us define Quicksort:

Quicksort is a sorting algorithm that operates by partitioning an array or list and recursively sorting the sub-arrays or sub-lists produced by partitioning.

Quicksort is one of the fastest sorting algorithms. It is used by many operating systems, libraries, and programming languages.

There are three important steps in the partitioning algorithm of Quicksort:

Choose the pivot element.

Partition the array based on the pivot element.

Recursively sort the two partitions after the partitioning is done.

A low partition and a high partition are formed when partitioning.

The low partition contains all elements lower than the pivot, while the high partition contains all elements higher than the pivot.

For our given numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57), and the high partition is (99, 77, 90).

The partitioning algorithm works as follows:

Choose the pivot element, which is 77.

Partition the array using the pivot element, 77.

Elements less than 77 go to the left partition and elements greater than 77 go to the right partition.27, 56, 46, 57, 90, 99, 77 are the numbers.

Pivot is 77.46 is less than 77. It goes to the left.57 is less than 77. It goes to the left.27 is less than 77. It goes to the left.

90 is greater than 77. It goes to the right.99 is greater than 77. It goes to the right.77 is not considered here because it is the pivot.

Recursively sort the two partitions produced after partitioning.

In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

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Question: Find Angle S

SOMEONE PLEASE HELP WILL GIVE BRAINLEST!

Question: Find Angle SSOMEONE PLEASE HELP WILL GIVE BRAINLEST!

Answers

Answer: 45

Step-by-step explanation:

S is 45 (labelled on the diagram)

(a) Although neither a linear nor an exponential function would model this data perfectly, justify why an

exponential function would be a much better fit. Specifically, explain both why a linear function would not

be a good fit while an exponential would be reasonable.?

Answers

Answer:

hello the table related to this question is missing attached below is the missing table

answer : An exponential function is much better fit because there is no fixed rate in the table

Step-by-step explanation:

An exponential function is much better fit because there is no fixed rate in the table attached but the values in the table keeps increasing exponentially, hence an Exponential function will be a better fit, But a linear function would be preferred only if there is a fixed rate

(a) Although neither a linear nor an exponential function would model this data perfectly, justify why

Finish factoring the polynomial using factoring by grouping
y(y+5)+6(y+5)​

Answers

Answer:

\(y(y + 5) + 6(y + 5) \\ = (y + 6)(y + 5)\)

Answer:

\(→y(y + 5) + 6(y + 5) \\ = \boxed{ (y + 5)(y + 6)}✓\)

(y + 5)(y + 6) is the right answer.

Snow is falling at a rate of r(t)=2e^-0.1t inches per hour, where t is the time in hours since the beginning of the snowfall. Which of the following expressions gives the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours?
a. 2e^-0.3 · 2
b. 0.2 · 0.2e^-0.5
c. 4 · 4e^-0.5
d. 20 - 20e^-0.5

Answers

The expression that gives the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours is option d: 20 - 20e^-0.5.

The rate of snowfall is given by the function r(t) = 2e^-0.1t inches per hour. To find the amount of snow that falls from time t = 0 to time t = 5 hours, we need to integrate the rate function with respect to time over this interval.

Integrating the function r(t) from 0 to 5 gives us ∫(0 to 5) 2e^-0.1t dt. This integration evaluates to 20 - 20e^-0.5.

Option d: 20 - 20e^-0.5 is the correct expression because it represents the amount of snow, in inches, that falls from time t = 0 to time t = 5 hours. The constant term 20 represents the initial amount of snowfall at t = 0, and the exponential term accounts for the decrease in the rate of snowfall over time.

Therefore, the correct expression to calculate the amount of snowfall in this time interval is 20 - 20e^-0.5.

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In A certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 836 grams of copper. How many grams of zinc does it contain

Answers

Answer:

The jar contains 132 grams of zinc

Step-by-step explanation:

zinc to copper = 3 : 19

New equivalent weights

zinc to copper = x : 836

Now, let us solve for x as follows

\(\frac{zinc}{copper} = \frac{3}{19} = \frac{x}{836} \\\\cross-multiplying\\3 \times\ 836 = 19 \times\ x\\2508 = 19x\\x = \frac{2508}{19}\\x = 132\)

the jar contains 132 grams of zinc

To check if the answer is accurate, the answer gotten when the weight of zinc is divided by copper will be the same for both the old and new ratios:

old ratio: 3 ÷ 19 =  0.158

new ratio: 132 ÷ 836 = 0.158

On a farm, there are 75 pigs, 18 horses, 130 cows, and 25 chickens.
Find the ratio of the number of cows to the total number of animals.
A) 25 : 248
B) 65: 124
C) 75 : 248
D) 9: 124

Answers

Answer:

are u sure there are 130 cows?

at the movie theatre child admission is 6.50 and adult admission is 9.80 On Tuesday, four times as many adult tickets as child tickets were sold, for a total sales of 1279.60 How many child tickets were sold that day

Answers

We find that 28 child tickets were sold on Tuesday.

To determine the number of child tickets that were sold on Tuesday, let x be the number of child tickets that were sold. Then, the number of adult tickets sold was four times the number of child tickets sold. Thus, the number of adult tickets sold is 4x.

The cost of one child ticket is $6.50, and the cost of one adult ticket is $9.80. Therefore, the total sales can be represented by the equation:6.50x + 9.80(4x) = 1279.60

Simplifying this equation gives: 6.50x + 39.20x = 1279.60

Combining like terms, the equation can be further simplified to:

45.70x = 1279.60 Solving for x gives: x = 28

Therefore, 28 child tickets were sold on Tuesday

In conclusion, if we assume that the number of child tickets sold is x, then we can calculate the number of adult tickets sold to be 4x. By multiplying the number of child tickets sold by the price of one child ticket and the number of adult tickets sold by the price of one adult ticket and adding the two values together, we obtain the total sales equation. Using this equation, we solve for x by simplifying and combining like terms.

Therefore, we find that 28 child tickets were sold on Tuesday.

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what is the answer to the following screenshot?

what is the answer to the following screenshot?

Answers

The angle measures of each vertex of the yard are:

A = 160 degreesB = 142 degreesC = 120 degreesD = 156 degreesE = 31 degreesF = 111 degrees

How to find the angles

To find the angle measures of each vertex of the yard, we need to use the fact that the sum of the angles of any polygon is equal to

(n - 2) * 180 degrees,

where

n is the number of sides of the polygon.

In this case, we know that the yard is an irregular polygon with 6 sides, so we can use the formula:

sum of angles = (n-2) x 180

sum of angles = (6-2) x 180

sum of angles = 720 degrees

We also know that the angles of the polygon are A, B, C, D, E and F, and we have expressions for each of these angles in terms of x.

So we can substitute these expressions into the equation for the sum of angles and solve for x:

A + B + C + D + E + F = 720

(7x - 8) + (4x + 46) + (5x) + (6x + 12) + (x + 7) + (5x - 9) = 720

28x + 48 = 720

28x = 672

x = 24

Calculate the angle measures of each vertex:

angle A = (7x - 8) = (724 - 8) = 160 degrees

angle B = (4x + 46) = (424 + 46) = 142 degrees

angle C = (5x) = (524) = 120 degrees

angle D = (6x + 12) = (624 + 12) = 156 degrees

angle E = (x + 7) = (24 + 7) = 31 degrees

angle F = (5x - 9) = (5*24 - 9) = 111 degrees

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what is the maximum number of zeros that a 3 × 3 matrix can have without having a zero determinant? explain.

Answers

A 3 x 3 matrix can have at most 2 zeros without having a determinant of 0.

The determinant of a 3 x 3 matrix is given by the formula:

\(det(A) = a < sub > 11 < /sub > [(a < sub > 22 < /sub > a < sub > 33 < /sub > )\) -\((a < sub > 23 < /sub > a < sub > 32 < /sub > )] - a < sub > 12 < /sub >\)\([(a < sub > 21 < /sub > a < sub > 33 < /sub > ) - (a < sub > 23 < /sub > a < sub > 31 < /sub > )]\)+ \(a < sub > 13 < /sub > [(a < sub > 21 < /sub > a < sub > 32 < /sub > )\)- \((a < sub > 22 < /sub > a < sub > 31 < /sub > )]\)

If a row or a column of a 3 x 3 matrix contains all zeros, then the determinant of the matrix is 0. This can be seen from the fact that the formula for the determinant involves multiplying the elements of the first row by the cofactors of the remaining elements, and if the first row contains all zeros, then the determinant is zero. If a 3 x 3 matrix has only one zero, then the determinant can still be nonzero. In this case, we can choose a row or a column that does not contain the zero element and expand the determinant using that row or column. This will give us a 2 x 2 matrix, and the determinant of a 2 x 2 matrix is nonzero if and only if the two diagonal elements are not equal to zero. Therefore, the 3 x 3 matrix will have a nonzero determinant if it has at most two zeros.

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Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 - 0​

Answers

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?  

Triangle CDE has vertices C(2, -1), D(7,-4), and E(4, -6) with the translation rule: (x,y)-(x-3, y+8). C' would be (

Triangle CDE has vertices C(2, -1), D(7,-4), and E(4, -6) with the translation rule: (x,y)-(x-3, y+8).

Answers

C' would be (-1,7), Triangle Illustrations Triangles are three-sided polygons with three vertices.

What is meant by Triangle?A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle is a type of polygon. The figure above depicts an ABC triangle. Triangle Illustrations Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees. A triangle is a polygon with three sides. It has three sides as well as three vertices that form three angles. Any triangle with vertices is denoted as A B C and is illustrated below: Triangle shapes include: Triangle of Scalene: All of the sides are unequal in length.

Therefore,

'a' unit up = (x,y)  ⇒(x, y + a)

'a' unit down = (x,y) ⇒(x, y - a)

'a' unit left = (x,y) ⇒(x - a, y)

'a' unit right = (x,y) ⇒(x + a, y)

Given,

(x,y) ⇒(x-3),(y+8)

Simplifying,

C(2,-1)⇒C'(2-3, -1+8)

= C'(-1,7)

D(7,-4) ⇒ D'(7-3, -4+8)

= D'(4,4)

E(4,-6) ⇒ E'(4-4, -6+8)

= E'(0,2)

Hence, C'= (-1,7)

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What is the place value pf the 7 in 7,000.2?

Answers

the given expression is,

7000.2

the place value of 7 is,

7x 10^3 = 7000

thus, the answer is 7000

i have solved your problem in the answer tab.

if you have any doubt with this solution then let me know.

Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places. -0.5x-3.7=-0.7

Answers

The solution to the equation -0.5x - 3.7 = -0.7 is x = -6.

To solve the equation -0.5x - 3.7 = -0.7, we can follow these steps:

1. Start by isolating the variable x on one side of the equation. Add 3.7 to both sides:

  -0.5x - 3.7 + 3.7 = -0.7 + 3.7

  -0.5x = 3

2. Divide both sides of the equation by -0.5 to solve for x:

  (-0.5x) / -0.5 = 3 / -0.5

  x = 3 / (-0.5)

  x = -6

Therefore, the answer to the equation is x = -6. This is an integer solution.

In decimal form, x = -6 can be expressed as -6.00, rounded to two decimal places.

It's important to note that when solving equations, we aim to find the value(s) of the variable that satisfy the equation. In this case, x = -6 is the solution that makes the equation true. However, it's always a good practice to check the solution by substituting it back into the original equation to ensure its validity.

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A plane rises from takeoff and flies at an angle of 90° with the horizontal runway when it has gained 400 feet find the distance that the plane has flown.

Answers

Answer:

2879ft

Step-by-step explanation:

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle  

10

.

We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :

A plane rises from takeoff and flies at an angle of 90 with the horizontal runway when it has gained

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Mallory's Border Collie had 18 puppies in 3 litters. Determine the rate for a ratio of the two different quantities.

18 over 3 puppies per litter
3 over 18 puppies per litter
18 over 21 puppies per litter
1 over 6 puppies per litter

Answers

The rate for a ratio of the two different quantities is; ¹⁸/₃ puppies per liter

How to find the ratio between two quantities?

Two quantities can be referred to as proportional provided that they can be represented in the general form y = kx,

where k is a constant of proportionality

Now, we have the parameters as;

Number of Puppies = 18 puppies

Number of Litters = 3 litters

Thus, the rate for the ratio between the two quantities is expressed as;

18 puppies/3 Litters

= ¹⁸/₃ puppies per liter

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