Write the sum as a product of the GCF and a sum: 39+91

Answers

Answer 1

[tex]\bf 39+91\qquad \begin{cases} 39=3\cdot \underline{13}\\ 91=7\cdot \underline{13} \end{cases}\implies \underline{13}(3+7)[/tex]

Related Questions

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 45°, what is the area of the opening?

A. 4.8 in2
B. 20.8 in2
C. 19.3 in2
D. 9.0 in2

Answers

Answer is A. 4.8 in 2

Answer:

19.3

Step-by-step explanation:

took the test

A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a total of $140 to rent movies and video games from this store. If he rented twice as many video games as movies, how much did he spend on movie rentals during the summer?

Answers

Let's use the variables m and v for this:
4m + 3v = 140
v = 2m
Insert this variable:
4m + 3(2m) = 140
4m + 6m = 140
10m = 140
m = 14
One movie costs 4 dollars:
14*4 = 56
He spent $56 on movies

Martha is making a scarf for her sister. Each day she knits 1/6 of a scarf....#1 what fraction of the scarf will be complete after 3 day...#2 What fraction will be complete after 6 days....#3 How can you use a number line to prove that your answers are correct?

Answers

You can use the number line to count up by 1/6s like day 1: 1/6 day 2:2/6 and so on. After three days 3/6s of the scarf will be done which is equivalent to 1/2 and on day 6: 6/6 of the scarf will be done which is equivalent to 1.
Hope I could help!
-Montana

Any figure that has line symmetry must also have rotational symmetry. true or false

Answers

A figure that has line symmetry MUST also have a rotational symmetry.

Answer is TRUE.

the surface area of a polyhedron can be found by

Answers

It can be found by summing the areas of its faces

The surface area of a polyhedron is equal to the sum of the area of all of its faces. Said another way, the surface area is the total area covered by the net of a polyhedron.

Answer:

the surface area of a polyhedron can be found by sum of the area of all its sides.

Step-by-step explanation:

The surface area is nothing find the area of each faces and add them together.

Surface area = Sum of area of each faces.

Polyhedron is a three dimensional figure.

For instance, cube a polyhedron which has 6 square faces.

Surface area of a cube = [tex]a^{2} + a^2 + a^2 + a^2 + a^2 + a^2 = 6a^2[/tex], where "a" is the side of the square.

Therefore, the surface area of a polyhedron can be found by sum of the area of all its faces.

The acronym CPCTC stands for “corresponding parts of congruent __________ are congruent.”

Answers

The Blank is: Triangles

Cpctc is Corresponding parts of congruent triangles are congruent.

It is used at the end of your proof to show two sides and two angles are congruent.

Hope this helps!

Answer: Triangles

Step-by-step explanation:

The CPCTC property of congruent triangles says that is two triangles are congruent then their corresponding angles and sides are congruent.

The acronym CPCTC basically stands for Corresponding Parts of Congruent Triangles are congruent.

It generally used two show any two corresponding segments or angles of two congruent triangles congruent.

Remember: P(1+r)t Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem. $950 at 7% for 8 years, compounded annually. Total Amount = $ Interest Amount = $

Answers

Total amount
950×(1+0.07)^(8)
=1,632.28

Interest amount
1,632.28−950
=682.28

Consider the following properties of the graph of an exponential function.
a. Horizontal Asymptote at x=-2
b. The graph is increasing from (-infinity, infinity)
c. The x-intercept is at (1,0)
What is the equation for this graph?

Answers

The parent exponential function is:

[tex]y= e^{x} [/tex]

The Horizontal asymptote of parent exponential function is y =0. For the function to have asymptote y=-2, it must be shifted 2 units down. So resulting graph will be:

[tex]y=e^{x} -2[/tex]

The function is increasing from left to right.

The above function does not have x-intercept at (1,0). For the function to have an x-intercept at (1,) it must be multiplied with some co-efficient as shown below:

[tex]y=a e^{x}-2 [/tex]

For x=1, y=0. So we can write:

[tex]0=a e^{1}-2 \\ \\ 2=ae \\ \\ a= \frac{2}{e} [/tex]

So, the exponential function satisfying the given conditions will be:

[tex]y= \frac{2}{e} e^{x}-2 \\ \\ y=2 e^{x-1} -2 [/tex]

Complete the steps to find the volume of the prism shown below.

Answers

Answer:

triangle

A = 6

V = 6 x 20 = 120

Step-by-step explanation:

Answer:

Shape of base - triangle

A = 6 units

V = 6 x 20 = 120

Hope it helps!

A house was valued at 398,000.over several the house increased by 0.08

Answers

Here's the equation to find the current price:
398000 + 0.08(398000)
We can make it simpler:
1.08(389000)
The current price is $420120

(4+8r^5) - (4r^5 + 2)

Answers

(4+8r^5) - (4r^5 + 2)

= 4+8r^5 - 4r^5 - 2
= 4r^5 +2
= 2(2r^5 + 1)

The simplest form of the equation is 2(2r^5 + 1)

A line segment with endpoints (-4,5) and (-2,2) is reflected about the y-axis. Write the coordinates of the endpoints after the segment has been reflected.

Answers

When reflection goes about y-axis, the x coordinate changes into its opposite.
(-4,5)---->(4,5)
(-2,2)----->(2,2)

Researchers produced a study that involved 875 workers in the auto industry. The study showed that after 30 years 367 were retired, 85 were still employed in the auto industry, 300 left the industry, and the rest were not reachable. What is the problem with this study?

precise numbers

missing data

self interest

voluntary response

Answers

Answer: B) missing data

There are 123 people that were not reachable, making missing data the biggest problem.
It could be voluntary, but we're not told that, and it is most likely not voluntary, which also cancels out the chance that it could be self-interest. Precise numbers are usually what you want to aim for when you collect data, so that isn't a problem here.

According to this problem missing data would be the answer(B)

hey can you please help me posted picture of question

Answers

The parent reciprocal function is represented in the table.

As you can see, increasing the value of x, decreases the value of y as both are inversely related as:

[tex]y= \frac{1}{x} [/tex]

We can also write this equation as:

yx = 1

This means, the product of each x and y value must be 1 for parent reciprocal function. If you observe the table, the product of each pair is 1.

So the correct answer is option A

The pairs of values of x and y above represent that of the equation,

y = 1/x.

If we are to substitute the given values of x to determine the values of y for checking, the results are as shown below.

1. y = 1/-2 = -0.5
2. y = 1/-1 = -1
3. y = 1/2 = 0.5
4. y = 1/3 = 0.33

Thus, the answer to this item is the first option, y = 1/x.

Evaluate the polynomial when x=4 y=-4
x^2-3y^2+2xy

Answers

[tex]x^2-3y^2+2xy\\\\for\ x=4\ and\ y=-4\\\\substitute\ the\ values\ of\ x\ and\ y:\\\\4^2-3\cdot(-4)^2+2\cdot4\cdot(-4)=16-3\cdpt16-32=16-48-32=-64[/tex]

What is the area of the trapezoid?

56 square inches

240 square inches

108 square inches

120 square inches

Answers

You'd add the bases then multiply by the height to get,
120
Take care ^-^

Answer:

120

Step-by-step explanation:

use matrix method to solve x+4y=8 2x+y=9

Answers

In first equation, x has coefficient 1 and y has coefficient 4 and is equal to 8
In first equation, x has coefficient 2 and y has coefficient 1 and is equal to 9

So augmented matrix would looks like this:
[tex]\left[\begin{array}{cc|c}1&4&8\\2&1&9\end{array}\right][/tex]

Your goal is to transform matrix to look like this:
[tex] \left[\begin{array}{cc|c}1&0&x_{\text{answer}}\\0&1&y_{\text{answer}}\end{array}\right][/tex]

Steps to reach there:

Subtract first row from second row two times:
[tex]\left[\begin{array}{cc|c}1&4&8\\0&-7&-7\end{array}\right][/tex]

Multiple second row by -1/7:
[tex]\left[\begin{array}{cc|c}1&4&8\\0&1&1\end{array}\right][/tex]

Now subtract second row from first row 4 times:

[tex]\boxed{\left[\begin{array}{cc|c}1&0&4\\0&1&1\end{array}\right]}[/tex]

Which translate to
[tex]x+0y = 4\\\ \\0x+y=1[/tex]

So then x = 4 and y = 1.

Hope this helps.

which has more people a car that is 3/4 full or a car that is 1/4 full

Answers

A car that is 3/4 full because 3 outta the 4 seats are taken while 1/4 is only 1 outta the 4 seats are taken up. Hope it helps :).

A car of people 3/4 full would be more than a car of people 1/4 full because 3/4 is more than 1/4.

PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!?!?!?!?!?!!?!?!?!?

What are the benefits and limitations to each method? When is it best to use each method?
1) graphing 2) substitution method 3) elimination method

Answers

With graphs on paper you can visually see intersecting lines(one solution), identical lines
(infinite solutions), or parallel lines(no solutions).
This method works best for lines that have integers for solutions. The task of determining rational or irrational solutions from graphs is difficult.

The substitution method usually must be used for equations with higher exponents. The deawback of this method is having to work with fractions.

The elimination method is often the method of choice.
This method however requires that you learn to recognize when the systems produce parallel lines or have equations that represent the same lines.

Answer:

don't copy exactly, this is my answer to the question.

Step-by-step explanation:

Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0.

What must be the value of c for Jamal’s statement to be true?

Answers

To answer the question, we must find c of the equation:
ax + b = a (x + c)
If we divide by "a" on both sides we have to:
x + b / a = x + c
For values of "a" other than zero.
So:
c = b / a.
So that the affirmation of Jamal Be true c = b / a

Answer:

[tex]c=\frac{b}{a}[/tex]

Step-by-step explanation:

We have been given an equation [tex]ax+b=a(x+c)[/tex], given that a, b and c are not equal to 0.

Let us solve for the value of c that will make Jamal's statement true.

Upon dividing both sides of our equation by a we will get,

[tex]\frac{ax+b}{a}=\frac{a(x+c)}{a}[/tex]

[tex]\frac{ax+b}{a}=x+c[/tex]

[tex]\frac{ax}{a}+\frac{b}{a}=x+c[/tex]

[tex]x+\frac{b}{a}=x+c[/tex]

Now, we will subtract x from both sides of our equation.

[tex]x-x+\frac{b}{a}=x-x+c[/tex]

[tex]\frac{b}{a}=c[/tex]

Therefore, the value of [tex]c=\frac{b}{a}[/tex] will make Jamal’s statement true.

solve for x x^2+3x<28

Answers

x² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0

the zeros will be at x = -7 and x =4

∴ the solution of inequality
x ∈ (-7,4)

See the attached figure

Andy is 2 years older than Jeff. In 5 years the sum of their ages will be 40.find their ages now? Explain your answer using algebra

Answers

Hello!

You can make two equations based on what you know

let x stand for andy's age
let y stand for Jeff's age

x = 2 + y
5 + x + 5 + y = 40

Put x into the second equation

5 + (2 + y) + 5 + y = 40

Combine like terms

12 + 2y = 40

Subtract 12 from both sides

2y = 28

Divide both sides by 2

y = 14

Put y into the first equation

x = 2 + (14)

x = 16

Andy is 16 and Jeff is 14

Hope this helps!

Find the volume of the given prism round to the nearest 10th if necessary

Answers

we know that
volume of the prism=area of the base*height
height=24 yd

area of the base
is a equilateral triangle
so
the internal angles are 60 degrees
with the law of sine calculate the area
Area=(1/2)*a*b*sin C-----> (1/2)*13*13*sin 60-----> (1/2)*13*13*√3/2
Area=73.18 yd²

volume of the prism=73.18*24-----> 1756.30 yd³

the answer is
1756.3 yd³

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?
2 ft
4 ft
8 ft
10 ft

Answers

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The rectangular deck has the following dimensions: 12 ft by 14 ft.
- When the length and width are increased by the same amount, the area becomes 288 ft².

2. Therefore, you have:

A=bxh

288=(12x)(14x)
288=168x²

3. When you clear the x, you obtain:

x=√288/168
x=(2√21)/7≈1.31

Answer:

4 ft option (c)

Step-by-step explanation:

Length of a rectangular deck = 12 ft.

width of rectangular deck= 14 ft.

let the length and width are increased by the x ft.

New length = (12 + x) ft

New width = (14+ x) ft.

area of rectangular width = length × width

according to the question

(12+x)(14+x) = 288

168+[tex]x^{2}[/tex]=+14x+12x = 288

[tex]x^{2}[/tex]+26x = 228-168

[tex]x^{2}[/tex]+26x-120=0

[tex]x^{2}[/tex]+ 30x-4x-120=0

x(x+30)-4x(x+30)

x=4 or x=-30

x=-30 is rejected

Hence, the length and width are increased by the 4 ft.

hey can you please help me posted picture of question

Answers

Answer:
The solutions are 4 and -4

Explanation:
To get the solutions, we will need to isolate x on one side of the equation.
This can be done as follows:
4x² - 30 = 34
4x² - 30 + 30 = 34 + 30
4x² = 64
x² = 64/4
x² = 16
x = ±√16
either x = +√16 = 4
or x = -√16 = -4

Hope this helps :)

[tex]4x^2-30=34\ \ \ |+30\\\\4x^2=64\ \ \ \ |:4\\\\x^2=16\to x=\pm\sqrt{16}\\\\x=\pm4\\\\\text{Answer:C. x=-4 and D. x=4}[/tex]

the ratio of keiths age to Jared's ages 3 to 5 if Keith is 24 years old how old is Jared please show how many you got this answer I will mark brainiest

Answers

Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.

Givens
Keith is 24
Keith / Jared = 3/5
J = Jared

Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40

Conclusion
Jared is 40 years old.

In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group. They do not know whether they are receiving the medication or a placebo. The element of experiment design being used is _____.

randomization

blinding

replication

Answers

This is called randomization

Answer:

The element of experiment design being used is blinding.

Step-by-step explanation:

In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group.

The first step is to define the treatment group, it is performed in a random way, as most of the statically experiments.

They do not know whether they are receiving the medication or a placebo.

People inside both groups do not have information about the medication. It means they are blind to the possible effects.

The blinding method is used mostly to remove the placebo effect in the sample. Because of that it is commonly used for clinical or any experimental assays as it was showed in this example.

An experienced roofer can work twice as fast as her helper. working together, they can shingle a new section of roof in 4 hours. how long would it take the experienced roofer, working alone, to complete the same job?

Answers

Final answer:

The problem solves for the time it would take the roofer to work alone, by first determining the shared work rate. The helper works at rate x and the roofer at rate 2x (twice as fast). They complete 1 roof in 4 hours working together, thus their combined rate is 1/12 roof per hour. So, the roofer’s individual rate is 1/6 roof per hour, meaning she can finish the job alone in 6 hours.

Explanation:

To solve this problem, we'll use the equation for work which is work = rate x time. Let's say the helper's rate of work as 1x and the roofer's rate as 2x, because the roofer can work twice as fast as the helper.

Bearing in mind that the total time it takes both of them to shingle the roof is 4 hours, according to the problem, we can represent this relationship as this equation: (2x + x) * 4 = 1 roof. This simplifies to 12x = 1, meaning the rate at which they work together is x = 1/12 roof per hour.

Thus, the roofer’s individual rate of work is 2x = 2/12 roof per hour = 1/6 roof per hour. Therefore, to calculate how much time it would take for the roofer to do the job alone, we simply divide the total task (1 roof) by the roofer’s rate of work, 1/(1/6) = 6 hours.

Learn more about work rate here:

https://brainly.com/question/14305692

#SPJ12

Final answer:

By setting up and solving an algebraic equation based on the given conditions in the problem, we find that it would take the experienced roofer alone 3 hours to complete the same job.

Explanation:

The problem is related to work rate and could be solved using algebra. Let's denote by X the time (in hours) it takes for the helper to complete the job alone. Considering that an experienced roofer can work twice as fast as her helper, the roofer could complete the same job alone in X/2 hours. From the problem, we know that when working together, they can complete the job in 4 hours. This means that the amount of work they do together in one hour (1/4) is equal to the sum of the amounts of work done by each in one hour (1/X + 2/X). By solving this equation, we get X = 6. So, it would take the helper 6 hours to complete the job, which means it would take the experienced roofer half of this time, which is 3 hours.

Learn more about Work rate here:

https://brainly.com/question/14305692

#SPJ12

Rectangle QRST is shown.

What would be a reason to claim that QRST is NOT a square?

SECOND PICTURE ARE THE FOLLOWING SOLUTIONS.

WILL MARK BRAINLIEST!!!

Answers

That would be QT ≠ QR because then QT and QR is not same which makes it impossible for QRST to be square. Square needs all side lengths to be equal.

the arc lenght of pi over 3 and 10m

Answers

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=10\\ \theta =\frac{\pi }{3} \end{cases}\implies s=10\cdot \cfrac{\pi }{3}\implies s=\cfrac{10\pi }{3}[/tex]

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