Answer:
-48
Step-by-step explanation:
we are going to say. 87-45x3=_48
Janet can do a job in 3 hours, while Gerry can do the job in 2 hours. If Janet works for an hour before jerry begins helping her, how long will it take them to finish the job together
To determine how long it will take Janet and Gerry to finish the job together, we need to calculate their combined work rate.
Let's first find the individual work rates:
Janet's work rate: 1 job / 3 hours = 1/3 job per hour
Gerry's work rate: 1 job / 2 hours = 1/2 job per hour
If Janet works alone for 1 hour, she completes 1/3 of the job.
When they work together, their combined work rate is the sum of their individual work rates:
Combined work rate = Janet's work rate + Gerry's work rate
= 1/3 job per hour + 1/2 job per hour
= 2/6 job per hour + 3/6 job per hour
= 5/6 job per hour
Now, since Janet has already completed 1/3 of the job, the remaining fraction of the job to be completed is 1 - 1/3 = 2/3.
To find the time it takes for Janet and Gerry to finish the remaining 2/3 of the job together, we can use the formula:
Time = Amount of work / Combined work rate
Time = (2/3 job) / (5/6 job per hour)
Simplifying, we get:
Time = (2/3) / (5/6) Time = (2/3) * (6/5) Time = 4/5 hour
Therefore, it will take Janet and Gerry approximately 4/5 hour (or 48 minutes) to finish the remaining 2/3 of the job together.
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Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
0
4
25
100
Answer:
it's 25, just did it
Step-by-step explanation:
1 /2 o f ( − 10 ) = − 5 , ( − 5 )^ 2 = 25
Answer:
C. 25
Step-by-step explanation:
what is the number when 20 is subtracted from the sum of one fourth of 5 times of 8 and 10
Step-by-step explanation:
(5×8 + 5×10)/4 - 20 = (40 + 50)/4 - 20 = 90/4 - 20 =
= 22.5 - 20 = 2.5
11 4/5 divided by 3 1/5 estimation
The required estimation of 11 4/5 divided by 3 1/5 is 4.61.
Given that,
To determine the estimation of 11 4/5 divided by 3 1/5.
In mathematics, it deals with numbers of operations according to the statements.
In the given question we have given, 2 mixed fractions we have to determine the simplified fraction by dividing one from the other, as stated in the question.
Simplification,
11 + 4 / 5 = 59 / 4
3 + 1 / 5 = 16 / 5
11 4/5 divided by 3 1/5 estimation,
= ( 59/4 ) / (16 / 5)
= 59 * 5 / 4 * 16
= 4.61
Thus, the required estimation of 11 4/5 divided by 3 1/5 is 4.61.
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how many different three-letter words (including nonsense words) are there in which successive letters are different?
16250 many different three-letter words—including nonsense words—have different letters in the next position.
Given that,
We have to find how many different three-letter words—including nonsense words—have different letters in the next position.
We know that,
The number of alphabets are 26
First letter has 26 choices.
Second letter can not be same has first letter so 25 choices.
Third letter can not be same has second letter so 25 choices.
So,
Total words = 26×25×25=16250
Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.
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1. What represents the cost (in dollars) to go to Hogwarts when they first opened (month 0)?
2. What represents the rate of the cost to go to Hogwarts per month?
3. What feature of the graph tells us how many months it would take to get 700 students to attend
hogwarts?
Use the graph below to answer the questions (listed above questions 1-3). When
answering, use the respective numbers each month no commas or spaces in
between. For example, March can be written as 3. *
DALLY ROPHET
BOY BOLIVE
NOVEMBER
600
FEBRUARY
LOCK 2
y-intercept
LOCK 2
X-intercept
FUNE
400+
Total cost (dollars)
AUGUST
LOCK 2
Positive
200+
DAILY RE
LOCK 2
None
JANUARY
LOCK 2
Origin
OCTOBER
HE WA
MUST NOT
BE NAMED
RETURNS
LOCK 2
Slope
5 10 15
Time (months)
Your answer
Answer:
i love uuuuuuuuuuuuuuuuuuuuuuuu
Step-by-step explanation:
"Explain and draw a graph for each:
a. Apply the Solow model to a computer programer's skill at
writing code. Consider that a programmer will learn new coding
languages and forget old languages.
The Solow model can be applied to a programmer's skill by considering human capital as the equivalent of physical capital, with accumulation, depreciation, and technological progress affecting skill development.
The Solow model is a macroeconomic model that explains long-term economic growth. It is typically applied to analyze the growth of physical capital, such as machinery and equipment. However, in this case, we can adapt the Solow model to represent a computer programmer's skill at writing code.
In the context of a computer programmer's skill, we can consider human capital as the equivalent of physical capital in the traditional Solow model. Human capital refers to the knowledge, skills, and abilities that individuals possess and can contribute to the production process. To apply the Solow model to a programmer's skill, we can use the following components:
Inputs: In the Solow model, the main input is physical capital. In this adaptation, the input would be the programmer's human capital, which includes their existing knowledge and skills in coding.
Accumulation: The model assumes that physical capital accumulates over time through investment. Similarly, a programmer's human capital can accumulate through learning new coding languages, acquiring new skills, and gaining experience.
Depreciation: In the Solow model, physical capital depreciates over time due to wear and tear. Similarly, a programmer's human capital can depreciate if they don't actively use certain programming languages or if their skills become outdated.
Technological progress: The Solow model accounts for technological progress as a factor that increases productivity. In the case of a programmer, technological progress would involve advancements in coding languages, frameworks, tools, and methodologies that enhance their productivity and efficiency.
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katie drove for 300 miles to washigton dc and it took her 6 hours. at the same rate, how long would it take sarah to drive 450 miles
Answer:
540 minutes or 9 hours :)
Step-by-step explanation:
What I did is I multiplied 6 hours by 60 minutes. Or for the hours skip that step.
6x60=360 or 6/300=0.02
360/300=1.2 or 0.02x450=9
1.2 x450= 540 or 9 hours
540 minutes
540 minutes or 9 hours :D
Goodluck <3
Hope this helps!
can u find the suface area of the figure below
The surface area of the given prism is 230 in².
Given is a net of triangular prism, we need to find the surface area of the prism,
The surface area of a triangular prism = perimeter × length + base area
= (5 + 5 + 8) × 10 + 5 × 10
= 18 × 10 + 50
= 180 + 50
= 230 in²
Hence the surface area of the given prism is 230 in².
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which of the following statements must be true about this diagram? check all that apply. answers are with the picture below:
The external angle theorem states that the measure of the external angle of a triangle is equal to the sum of the two opposite internal angles.
In this case
\(\angle4=\angle1+\angle2\)Then
∠4 is greater than ∠2 and ∠1, so A and B check
And F also checks
We know that the sum of the internal angles of a triangle add up to 180º so that:
\(\angle1+\angle2+\angle3=180º\)And we also know that ∠3 and ∠4 are a linear pair, this means that they also add up to 180º:
\(\angle3+\angle4=180º\)Since both expressions are equal to 180º we can conclude that they are equal:
\(\angle1+\angle2+\angle3=\angle3+\angle4\)Subtract ∠3 from both sides of the equation and we get that
\(\angle1+\angle2=\angle4\)As stated by the external angle theore, the measure of the external angle, ∠4, of a triangle is equal to the sum of the opposite interior angles, ∠1+∠2 → With this, is proven that F is correct
If angles 1 and 2 add up to angle 4, then, by logic, their measure has to be less than angle 4
→ and this is how you know that ∠1 and ∠2 are less than ∠4
To attend the University of Houston Main Campus, the bank agrees to give you $35,000 loan with a 2%
simple interest rate for 8 years.
How much will you owe back to the bank?
You have 15 years to payback the loan. How much will your monthly payments?
Answer:
The answer is
$ 225.23 monthly payments.
a. If the pediatrician wants to use height to predict head circumference dete variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. Draw the best fit line on the scatter diagram . d. Does this scatter diagram show a positive negative, or no relationship between a child's height and the head circumference ?
If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.
What is the equation to calculate the area of a circle?In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.
The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.
To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.
Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.
By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.
If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.
If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.
By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.
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Which term describes body weight that is more than 20 percent higher than the average weight for a person of a given age and height
Answer:
Obesity describes body weight that is more than 20 percent higher than the average weight for a person of a given age and height. It is a medical condition that is characterized by excessive body fat which poses various health risks including diabetes, heart disease, sleep apnea, and high blood pressure. Obesity may result from a variety of factors such as a sedentary lifestyle, poor dietary habits, genetics, hormonal imbalances, and certain medications. Treatment options for obesity include lifestyle changes, pharmaceutical interventions, and in severe cases, surgical procedures.
Rita plans to make a call using a calling card. For each call, rita has two options: 1. Pay $0. 49, plus an additional $0. 019 per minute. 2. Pay $0. 059 per minute. She predicts that her call will be x minutes long. Which inequality represents the statement, "rita would save money using the second option"?.
The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x
"Information available from the question"
In the question:
1. Pay $0. 49, plus an additional $0. 019 per minute.
2. Pay $0. 059 per minute.
Now, According to the question:
How to determine the inequality that represents the statement?
We have the following parameters that can be used in our computation:
1. Pay $0.49, plus an additional $0.019 per minute.
2. Pay $0.059 per minute.
These statements can be represented as
Option 1: y = 0.49 + 0.019x
Option 2: y = 0.059x
Where y is the total amount and x is the number of minutes
When she saves money, we have
Option 2 < Option 1
Substitute the known values in the above equation, so, we have the following representation
0.059x < 0.49 + 0.019x.
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What’s the GCF OF 48 and 30??
Answer:
GCF OF 49 AND 30 IS 6
Step-by-step explanation:
greatest common factor
While shopping for clothes, Curtis spent $42 less than 3 times what Jaclyn spent. Curtis
spent $30. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent.
the length of the altitude drawn to the hypotenuse of right triangle t is 8. if the length of the hypotenuse of t is 20, what is the length of the shortest leg of t ?
The length of the shortest leg of T is approximately 18.33 units. We are given that the length of the altitude drawn to the hypotenuse (h) is 8, and the length of the hypotenuse (c) is 20.
We can start by using the area formula for a triangle:
Area = 1/2 * base * height
In this case, the base is the length of the hypotenuse (c), and the height is the length of the altitude (h). So we have:
Area = 1/2 * c * h
Substituting the given values, we get:
Area = 1/2 * 20 * 8 = 80
We also know that T is a right triangle, so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Substituting the given values, we get:
a^2 + b^2 = 20^2
a^2 + b^2 = 400
We can now solve for b by substituting a in terms of h (using the formula for the area of a triangle) and simplifying:
Area = 1/2 * base * height
80 = 1/2 * 20 * h
h = 8
a = (2 * Area) / c
a = (2 * 80) / 20
a = 8
Substituting a and h in the Pythagorean theorem equation, we get:
8^2 + b^2 = 20^2
64 + b^2 = 400
b^2 = 336
b = sqrt(336)
b ≈ 18.33
Therefore, the length of the shortest leg of T is approximately 18.33 units.
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26 out of the 65 people in a company meeting were managers. What percentage of the meeting attendees were managers
How do you do multiple long?
Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.
supporting answer:
what is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
body of the answer:
let us understand long multiplication by taking an example
Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.Multiply the top number's one digit by the bottom number's one digit.Put a 0 below the ones digit,Multiply the top number's ones digit by the bottom number's tens digit.Multiply the top number's tens digit by the bottom number's tens digit.6.Add the two partial products
final answer: by following above steps we can perform long multiplication
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Long multiplication is a method of multiplying two difficult-to-multiply numbers.
What is multiple long?
Finding the product is not always this simple. In such cases, the long method of multiplication is used.
Let us understand long multiplication by taking an example
1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.
2. Multiply the top number's one digit by the bottom number's one digit.
3. Put a 0 below the one's digit,
4. Multiply the top number's ones digit by the bottom number's tens digit.
5. Multiply the top number's tens digit by the bottom number's tens digit.
6. Add the two partial products
By following the above steps we can perform long multiplication
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List down all the possible. perfect squares that fall within the given ranks
Answer:
BelowStep-by-step explanation:
(a). 5 to 30
\(9,16 , 25\)
(b) . 100 to 200
\(100, 121 ,144, 169 , 196\)
(c). 200 to 300
\(225,256,289\)
(d). 300 to 400
\(324, 361,400\)
(e). 400 to 550
\(400 , 441,484,529,\)
Answer:
5-30
(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)
Step-by-step explanation:
test the null hypothesis: h0:(μ1−μ2)=0 versus the alternative hypothesis: ha:(μ1−μ2)≠0. using α=0.04, give the following: The test statistic Z ____
since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.
To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:
Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))
Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.
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In this expression the ten represents the
10^4
Hey there!☺
\(Answer:\boxed{\text{Base}}\)
\(Explanation:\)
The whole number you see there is called the base. 10 is representing as the base and has a power on top of it. With the base, you multiply the 10 by as many times depending on the power.
So 10 is representing as the base.
Hope this helps!☺
Hello! :)
10 represents as the base and 4 represents as the power. When you see a big number with an power on top, then the big number would be called the base.
The answer would be Base.
Hope this helped you!
THEDIPER
Solve
6
11
12
−
(
2
4
16
+
3
2
3
)
.
Do the operation in parentheses first. Show all your steps.
The answer is 59/60.
and in decimal form it would be, 0.983333
Which of the following is not true:
A) All squares are rhombi.
B) All trapeziums are quadrilaterals
C) All rectangles are rhombi
D) All squares are rectangles
E) All rhombi are parallelograms
Answer:
a
Step-by-step explanation:
bc i said so
The difference of the range and the interquartile range of the data set represented by the box plot is ______.
Answer:
10
Step-by-step explanation:
==>The range of the data set is the difference between the largest value of the data set (34) and the smallest value of the data set (16).
Range = 34 - 16 = 18
==>The interquartile range is the difference between the Q3 and the Q1.
Q3 = 29 (the data set value at the end of the box to our right)
Q1 = 21 (the data set value at the beginning of the box on our left)
IQR = 29 - 21 = 8
==>The difference between the range and the IQR = 18 - 8 = 10
A rectangle is 3.5 cm long and 5 cm wide. A similar rectangle is 4.9 cm long. Find the width of the similar rectangle.
Answer choices:
5 cm
7 cm
8 cm
6 cm
Answer:
i believe the answer is 6cm
Step-by-step explanation:
Answer:
7cm
Step-by-step explanation:
\(\frac{4.9}{3.5} =\frac{x}{5} \\x=\frac{4.9}{3.5} \times 5=7\)
I dont seem to understand this problem can anyone help?
The time it will take to do all the activities at the same time is given as follows:
60 minutes = one hour.
How to obtain the period?Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.
The periods of each event are given as follows:
Scones: 15 minutes.Muffins: 12 minutes.Cookies: 10 minutes.
The least common factor is obtaining factoring these numbers according to their prime factors, as follows:
15 - 12 - 10|2
15 - 6 - 5|2
15 - 3 - 5|3
5 - 1 - 5|5
1 - 1 - 1
Hence:
lcm(15,12,10) = 2² x 3 x 5 = 60 minutes.
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After dieting for 60 days, Ignacio has lost 42 pounds. What number describes his average weight change per day
Answer:
42/60
Step-by-step explanation:
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
if Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get
Answer:
\(\boxed{\textsf{ The amount shared by Nandi is \textbf{ Rs 500. }.}}\)
\(\boxed{\textsf{ The amount shared by Thabo is \textbf{ Rs 1,000. }.}}\)
Step-by-step explanation:
Given that Nandini and Thabo share Rs 1500 in the ratio 1:2 . And we need to find how much each gets . So lets take the given ratio be 1x :2x . Now here we can find the share of both as ,
\(\qquad\boxed{\boxed{\sf Share =\dfrac{ Ratio \ number }{Sum \ of\ ratio\ nos. }\times Amount }}\)
Hence here the sum of ratio numbers would be 1+2 = 3 . Here the ratio number of Nandi is 1 and that of Thaboo is 2 . So ,
Share of Nandi :-
\(\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Nandi)}= Rs\ 500 }}}\)
\(\rule{200}2\)
Share of Thabo :-
\(\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Thabo)}= Rs\ 1,000 }}}\)