14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Answers

Answer 1

Answer:

Length  [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)


Related Questions

Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above

Answers

Answer:

4

Step-by-step explanation:

coefficient is the number next to the variable.

6. A ball is selected at random from a bag containing
3 red balls, 4 black balls and 5 green balls. The
first ball is replaced and a second is selected. Find
the probability of obtaining:
(a) two red balls,
(b) two green balls.

Answers

Answer:

two green balls

Step-by-step explanation:

because of many reasons boy

Answer:

a. 1/16   b. 25/144

Step-by-step explanation:

Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.

What is the zero of 4x - 3y = -24?

Answers

The answer is 4x-3y+24=0

When multiplying, the answer is negative when you:

A: multiply a positive (+) times a negative (-)

B: multiply a negative (-) times a negative (-)

C: multiply a positive (+) times a positive (+)

Answers

Step-by-step explanation:

b: multiplying a negative (-) by a negative (-)

A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.

Answers

Answer:

7,084 cm^3

Step-by-step explanation:

To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.

Answer:

7,084 cubic cm

Step-by-step explanation:

V = 23 x 28 x 11

The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *

Answers

Answer:

The answer is 32 degrees

Step-by-step explanation:

45 minus 13 equals 32

x + 5y = 8
3x = 24 - 157

Answers

Answer:

x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]

Step-by-step explanation:

x + 5y = 8

3x = 24 - 157

3x = 24 - 157

3x = -133

x = [tex]-\frac{133}{3}[/tex]

x + 5y = 8

[tex]-\frac{133}{3}[/tex] + 5y = 8

5y = [tex]\frac{157}{3}[/tex]

y = [tex]\frac{157}{15}[/tex]

A circular tablecloth has a diameter of 6 feet,as show on the picture.



What is the area,in square feet,of the tablecloth.​

Answers

Nsnsnanannajakaabaatayqqjabwhwwkk

What is the slope-intercept equation of the line below?

Answers

Answer:

B y= -5/4x+3

Step-by-step explanation:

If a +2<b+3 then ____.

a-b<1
a<b+1
a<b
b<a​

Answers

Answer:

a<b+1

Step-by-step explanation:

a +2<b+3

a<b+3-2

a<b+1

Answer: a - b < 1 or a < b + 1

a + 2 < b + 3

⇔ a - b < 3 - 2

⇔ a - b < 1

Step-by-step explanation:

Please helppp!! I suck at math

Answers

Answer:

5/6−1/9=13/18

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(5/6×3/3)−(1/9×2/2)=?

Complete the multiplication and the equation becomes

15/18−2/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

15−2/18=13/18

This fraction cannot be reduced.

Therefore:

5/6−1/9=13/18

ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you

Answers

Answer:

4

Step-by-step explanation:

all you have to do is divide 12 by 3

Answer:

4 if ur doing division or 3 over 12

                                       

Step-by-step explanation:

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct

Which of the following was included in the “Declaration of the People”?

Texians wanted the Constitution of 1824 reestablished.

Texians wanted George Washington to be president instead of Santa Anna.

Texians considered themselves independent from Mexico,

The people of Texas want more restaurants.

Answers

Answer:

C

Step-by-step explanation:

Texas was not around during George Washington so that cant be correct

Texas was not around during the constitution of 1824

Texas did not want more restaurants lol

So Texans considered themselves  independent from Mexico is correct

Answer:

Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves  independent from Mexico is correct

took it on edge 2020 and got it write with this

HELPPPPPP MEEEE!! A deep-sea diver found an amazing reef 15 kilometers below sea level. What integer would represent this situation

Answers

Answer:

-15

Step-by-step explanation:

Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.

Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.

Answers

Answer:

Hello your question has some missing parts below is the missing part

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute  

answer :

dr/dt  depends on r^2  not simply r

Step-by-step explanation:

The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;

dr/dt  depends on r^2  not simply r

and this is because  dr/dt is proportional to  1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant

Noah has $5. Elena has 40% as much as Noah. How much does Elena have?

Answers

Answer:

Step-by-step explanation:

2 dollars

Answer:

$2.00

Step-by-step explanation:

Simplify.
16wxy
72xy

Answers

Answer: 1152wx^2y^2

Step-by-step explanation:

Please help I will mark brainliest

Answers

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Find the missing angles
Please try to give a good explanation so I can learn how it was done! Thank you

Answers

Answer:

Explained below.

Step-by-step explanation:

1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.

2. And since it is a right angle, both angles are 45 degrees.

3. All triangle angles will ALWAYS add up to 180.

4. Angle 4 = 180 - 45 (Angle 3) -83.

Angle 4 = 52.

5. Do same thing for Angle 1.

6. Angle 1 = 180 - 45 (Angle 2) - 48

Angle 1 = 87.

Final answers.

1. 87 degrees

2. 45 degrees.

3. 45 degrees.

4. 52 degrees.

What is .63 converted into a decimal?

Answers

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63

Which of the following expressions is equal to -3x^2-12?

Answers

Answer:

The answer is (-3X+6i)(x+2i)

Step-by-step explanation:

You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.

Find the indicated term of the arithmetic sequence.

22nd term: a1 = 4; d = 4

The 22nd term of the arithmetic sequence is:
.

Answers

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

plz give brainliest

2xsquared . 6 =



What does 2xsquared times 6 equal?

Answers

Answer:

24x

Step-by-step explanation:

2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.

Answers

Answer:

35 and 32

Step-by-step explanation:

35 and 32

because when we add 35 and 32 then their sum is 67

when we subtract 35 and 32 then their difference is 3

I hope u understand it

what is 5 and 9 tenths times 1 and 9 tenths​

Answers

Answer:

11.21

Step-by-step explanation:

5.9*1.9

how can i explain for the question???

Answers

what question there’s nothing showing?
explain what question?

A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.​

Answers

You would get $156.42 per year because $1 plus $2 is three and there are 52.14 weeks in a year and 52.14 times 3 is $156.42

What is the slope of the line through the points (-2, -1) and (4, 3)?
Group of answer choices
2/3

3/2

5/2

2/5

Answers

The answer should be 2/3

i am not sure



look at the screenshot for question

Answers

Answer:

X equals 3 y equals 1

Step-by-step explanation:

15x 5 y

A:3x+ 1
E: I’m really like chicken that oil
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