PLEASE HELP ASAP 80 POINTS!!!!

Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?

Write an expression in terms of X for the number of oranges that Theresa bagged.

Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).

Part C: Write an inequality using the expression from Part B to represent this scenario.

Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.

Part E: Did you have to flip the inequality sign? Explain why or why not.

Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.

Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?

Choose the correct number:

1. open circle on 54 and arrow pointing right
2. open circle on 54 and arrow pointing left
3. closed circle on 54 in arrow pointing right
4. closed circle on 54 and arrow pointing left​

Answer:

x = 5

Step-by-step explanation:

x2 + y2 = 20

xy = 20 ÷ 2 ÷2

= 10 ÷ 2

x = 5

i dont know whether this is right

but hope it helps n it works

The number of malaria cases in 2017 is 2700.

Let the dependent variable, y is malaria cases in thousands and the independent variable, x is the year.

Here, x is the number of years starting in the year 2000.

The required model is obtained as \(y = 299e^{0.1295x}\)

Now, the predicted number of malaria cases in the year 2017, that is, x = 17 years can be computed as,

\(y = 299e^{0.1295(17)}\\\\= 299(9.020\\\\= 2700\)

Hence, the number of malaria cases in 2017 is 2700.

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Answer:

A. y-intercept is 8, Slope is -4/3

Step-by-step explanation:

Step-by-step explanation:

divide 80 by for answer. number feet oer minute

If Frank spends $90 on his $1800 monthly income, then 95 percent of monthly check does not go toward food.

Let's say Frank spends $90 on food and has a monthly income of $1800. We can calculate the percentage of his monthly check that does not go towards food as follows:

Percentage = (Total Income - Food Expenses) / Total Income

Percentage = (1800 - 90) / 1800

Percentage = 0.95 = 95%

Therefore, 95% of Frank's monthly check does not go towards food.

Here are the steps in detail:

Subtract the food expenses from the total income to get the amount of money that is not spent on food.

Divide the amount of money that is not spent on food by the total income to get the percentage.

In this case, the amount of money that is not spent on food is $1800 - $90 = $1710. The percentage of the monthly check that is not spent on food is $1710 / $1800 = 0.95 = 95%.

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Answer:

7\11

Step-by-step explanation:

you just multiply to get an integer then convert that

Answer:

#2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one most likely because it keeps going by 3 like for example: 1+3=4, 2+3=5. So yea it's the first one. Hope it helps :D

Answer: q -> p

Step-by-step explanation:

just took the test

Answer:

$2.39

Step-by-step explanation:

to find the cost of 1 pound , divide the cost of 4 pounds by 4

$9.56 ÷ 4 = $2.39

Answer:

-18

Explanation:

-3^2=9

9*2=18

18(2+-3)

18*-1= -18

-18

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Answer:

8

Step-by-step explanation:

The women who see the commercials without celebrities is in the controler group. Correct option is A.

In an experiment, the control group is a group of individuals who do not receive the specific treatment or intervention being studied. The purpose of the control group is to serve as a baseline for comparison, allowing researchers to evaluate the impact of the treatment by comparing it to the group that did not receive the treatment.

In this scenario, the clothing manufacturer is trying to determine whether celebrity endorsements influence a customer's decision to buy its products. To evaluate this influence, they are conducting an experiment with two separate groups of potential buyers:

Group A: Potential buyers (women) who will see a series of commercials without celebrities.

Group B: Potential buyers (men and women) who will view a series of commercials with celebrities.

The control group, in this case, is Group A - the women who see the commercials without celebrities. They do not receive the treatment (celebrity endorsements) being studied. Their responses and behavior will serve as a baseline against which the effects of celebrity endorsements on the buying decision can be compared in Group B.

By comparing the responses and behavior of the two groups, the clothing manufacturer can determine whether celebrity endorsements have a significant influence on the customers' decision to buy their products. The control group is essential for ensuring that any observed effects in Group B are not due to other factors but rather can be attributed to the presence of celebrity endorsements.

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Solution:

Note that:

Forming an equation:

Solving the equation:

The missing value is 9.

The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.

The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.

The gradient (or slope) of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:

m = (0.63 - 0.61) / (2008 - 2006)

m = 0.02 / 2

m = 0.01

Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2

Mean temperature change = (0.02 + 0.08) / 2

Mean temperature change = 0.10 / 2

Mean temperature change = 0.05

The mean global temperature change between the two periods is 0.05.

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Answer:

  9) D: (-4, 4]; R: [-6, -4]

  10) D: [-5, -5]; R: (-7, ∞)

Step-by-step explanation:

You want the domain and range of the relations shown on the given graphs.

The domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.

The range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.

The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.

The domain is (-4, 4].

The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.

The range is [-6, -4].

The vertical line at x=-5 means -5 is the only value in the domain.

The domain is [-5, -5].

The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.

The range is (-7, ∞).

Answer:

9)  Domain:  (-4, 4]

    Range:  [-6, -4]

10)  Domain:  [-5]

    Range:  (-7, ∞)

Step-by-step explanation:

Definitions

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.

There is an open circle at endpoint (-4, -4).  Therefore, x = -4 is not included in the domain.

There is an closed circle at endpoint (4, -4).  Therefore, x = 4 is included in the domain.

Therefore, the domain of the relation is restricted:  (-4, 4]

From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.

This maximum value is included in the range since there is a closed circle at (4, -4).

Therefore, the range of the relation is restricted:  [-6, -4]

From inspection of the graph, the line is a vertical line at x = -5.

Therefore, the domain of the relation is restricted to x = -5:  [-5]

From inspection of the graph, the minimum y-value is x = -7.  

This minimum value is not included in the range since there is an open circle at (-5, -7).

There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.

Therefore, the range of the relation is restricted:  (-7, ∞)

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

Step-by-step explanation:

First we are going convert 6 hours to minutes and then seconds

1 hour= 60 mins

6 hours= 6 multiply by 60

           = 360 mins

1 min= 60 secs

360mins to seconds= 360 multiply by 60

                                  =21600

Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars

We are given that the daily service charges are 0.5 dollars

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars.

We are given that the daily service charges are 0.5 dollars.

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5.

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Answer:

90  berries

Step-by-step explanation:

The slope of the line that passes through the given two points is m = 26/25.

Consider a line that passes through the points (x1, y1) and (x2, y2).

So, the slope of the line is calculated by

m = (y2 - y1)/(x2 - x1)

The given line passes through points (1, 3) and (26, 29).

So, we can consider (x1, y1) = (1, 3) and (x2, y2) = (26, 29).

Then, the slope of the line is

m = (y2 - y1)/(x2 - x1)

   = (29 - 3)/(26 - 1)

   = 26/25

Therefore, the slope of the given line is 26/25.

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The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

Henrietta is incorrect

Step-by-step explanation:

Start in the tenths place and notice that 8 is greater than 6. This makes 0.8 greater than 0.64

You don't need to consider the hundredths place value unless both numbers in the tenths are the same.

Answer: -30

Step-by-step explanation:

Answer:

3 ismthe coefficient of 3m

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

  117

Step-by-step explanation:

You want the cross product of vectors u = (12i -3j) and v = (-5i +11j).

The cross product of 2-dimensional vectors is a scalar that is effectively the determinant of the matrix of coefficients.

  u×v = (12)(11) -(-3)(-5) = 132 -15

  u×v = 117

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Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.