Answer the following questions. Leave in simplest terms.
13. Find the area of a rectangle with a length of (5x + 1) inches and a width of (3x - 2) inches.

Answers

Answer 1
Area = length x width
Area = (5x + 1)*(3x - 2)
Area = 5x*3x + 5x*-2 + 1*3x + 1*-2
Area = 15x^2 - 10x + 3x - 2
Area = 15x^2 - 7x - 2 :)

Related Questions

Britt has decided that she wants to earn $4,000 over the next 10 months to set aside for a down payment on a car. Britt currently works some afternoons and evenings babysitting. She makes $8 per hour. At this pay rate, how many hours will Britt need to work each month to accomplish her goal?

Answers

She needs to work 8 hours per hour to work the rate of hours

This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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4 (3 – 5x) = 15 – (8x – 25)

Answers

Answer: 37/3 is the answer

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

What is the completely simplified form of the expression 2(1 – 3x) – (5x + 1)?

Answers

Answer:

i think it's 11x-1

Step-by-step explanation:

2(1-3x)-(5x+1)

2-6x-5x-1

2-11x-1

11x-1

GIVING 50 POINTS TO ANSWER. PLS ANSWER ASAP. I MARK BRAINLIEST.

Answers

Answer:

you can do it !! .. here's how

Step-by-step explanation:

slope = rise / run

pick any two coordinates that the line goes through

set up the equation using the y - coordinates at the top and the x- coordinates on the bottom

subtract the two y - coordinates and then the x-coordinates

then you will get your answer.

hope this helps

Hi. Please help me will give brainliest

Answers

Answer:

A = 720g

Bi = 480g

Bii = 2

Evaluate the expression 6x+8​ when x=2
The value of the expression is

Answers

20 because 6 times 2 is equal to 12 plus 8 equals 20
Answer: the value of the expression is 20

Which value of k can be multiplied by -8 resulting in a product smaller than -8? A. 1/4. B.4. C.-4. D.-1/4

Answers

Answer:

B.) i think

Step-by-step explanation:

Neil places £2,000 in a bank account that pays 1.5% simple interest per year.
How much interest will he earn in 6 years?

Answers

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

the mean of two numbers is 7.
the range of these two numbers is 8.

what are these two numbers?

Answers

Answer:
11 and 3

Explanation:
11 + 3 = 14
14 / 2 = 7
Mean = 7

11 - 3 = 8
Range = 8

The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The range of a given set of data is defined as the difference between the largest value and the smallest value.

Given that the mean of two numbers is 7 and the range of these two numbers is 8.

Let the pair of number be 11 and 3

11 + 3 = 14

14 / 2 = 7

Mean = 7

Also, the difference between the numbers are;

11 - 3 = 8

Range = 8

Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

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Translate each sentence into an equation.
Five more than three-fourths a number is -19. (Solve after please!)

Answers

Step-by-step explanation:

3/4x+5=-19

       -5   -5

3/4x=-24

/ 3/4 / 3/4

x=-32

hope it helps! :3 let me know if you need help with other algebraic equations!

pls help me it will make my day because, this is due tomorrow and I don't want to fail. no one helps me ❤️

Answers

The slope is 2. Divide rise/run

Answer:

The slope is 2

Step-by-step explanation:

To solve for slope, it's: y2-y1/ x2-x1.

The points can be (1,0) and (2,2) since they intersect with the slope.

You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

Or you can just do rise over run. The slope is going up by 2 and across by 1.

The 14th Street Bakery baked 4562 cookies for an upcoming giveaway. They are giving away 101 boxes of cookies, each with the same amount of whole cookies. Which of the following statements is true?

Answers

Answer:

?? what are the answer choices?

Step-by-step explanation:

Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
A.Exponential decay
B. Linear decreasing
C. Linear increasing
D. Exponential growth

Answers

Answer:

B

Step-by-step explanation:

Since the graph shows a straight line and not a curved graph, this is a linear equation.

And since the line is sloping downwards, it is decreasing.

Our final answer is linear decreasing.

The category of the function of the graph in the figure is a (b) Linear decreasing graph

How to determine the graph category?

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

The orientation of the line also means that:

As x increases, the value of y decreases

Hence, the category of the graph is a (b) Linear decreasing graph

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The ratio of men to women working for a company is 7 to 5. If there are 312 employees total, how many women work for the company

Answers

there would be 130 women working for the company because 5x26=130 and 7x26=182 and 130+182=312

Plz help me so I don’t fail

Answers

Answer:

B

Step-by-step explanation:

below 0 is negative

so -15

In My Knowledge

Option B. -15°

Plz help me I'm too Du-mb

Answers

Answer:

5

Step-by-step explanation:

You must have x alone

Answer:

5

Step-by-step explanation:

everyone else is smarter than me

Please help picture attached.

Answers

Answer:

12

Step-by-step explanation:

Think of this as a normal calculation at first.

Just focusing on the numbers themselves (not the roots) let's do the calculation.

8 × 18 = 144

Let's put the square roots back into play.

√144

And we know what the square root of 144 is (12).

what is 6+5+3x54+375

Answers

Answer: 548 but if you meant to put an x instaed of * it'll be 3x^54+386

Step-by-step explanation:

Answer:

i think 548 or 21

Step-by-step explanation:

What is the circumference of this circle, in centimeters? (Fake question)

Answers

Answer:

3,o217383737283636666666666678899

Answer:

5

Step-by-step explanation:

is logical .... ...........

A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
How tall is the tree?
O 8 feet
78 feet
14 feet
98 feet

Answers

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

Height of the tree/ 28 = 7/2

Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

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The ratio of girls to boys in Liza’s classroom is 5 to 4.

How many girls are in her classroom if there is a total of 27 students?

12

9

54

15

Answers

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

Work out 3/4 + 4/7 what is the answer to this question

Answers

Answer:

1 and 9/28

Step-by-step explanation:

you need to put everything over the same denominator

21/28+16/28=37/28

this can be written as  1 9/28

what is the LCM of 6, 17 and 34

Answers

Answer:

102

Step-by-step explanation:

Answer:

It's 102

Glad to help! Your welcome.

Based on the spinner shown, what is the probability of the next spin landing on a vowel?
A
Ή
B
с
F
D
E
Done-

Answers

Answer:

Step-by-step explanation:

Here is the spinner, and the answer would be 1/4.

The probability of the next spin landing on a vowel is 2/7.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner labeled A, H, B, C, F, D, and E.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

The total number of letters is 7 and the number of vowels is 2.

Therefore, The probability that the spinner will land on a vowel is,

= 2/7.

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Solve the simultaneous equations
2x + 4y = 1
3x - 5y = 7
y=1.5 x=
What does x equal

Answers

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

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

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Question
A tub of margarine measures 4 cm by
6 cm by 10.5 cm
What is the volume of the tub?

Answers

4 cm x 6 cm x 10.5 cm = 252 cm^3

Rory scored more than 12 points in his basketball game last night.

Select the inequality and number line that represent the number of points, p, Rory scored.

p > 12
p < 12
p = 12

Answers

Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta

Answers

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
occurred? Is it a percent increase or decrease?

Answers

Answer:

5% change

Step-by-step explanation:

Answer:

33 was the change and it incressed

Step-by-step explanation:


What is the y-intercept of the function below?
y= 2x + 7????

Answers

Answer:

(0,7)

Step-by-step explanation:

This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.

From the equation, we see that (0,7) is the y-intercept.

Let me know if this helps!

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