The perimeter of a rectangle is 212. The length is 16 more than 5 times the width.

Answers

Answer 1

Answer: Length is 15 and width is 91

Step-by-step explanation:

If the length is 16 more than 5 times the width, that means:

let's say

x=length

y=width

2x+2y=212

If the length is 16 more times than 5 times the width, that means

y=5x+16

now we can substitute all y's for 5x+16:

 2x+(5x+16)2=212

=2x+10x+32=212

=12x+32=212

=12x=180

x=15

If the length is 15, the width is

15*2+2y=212

=30+2y=212

=182/2

y=91

Answer 2

Answer:

width 91 length 15

Step-by-step explanation:

2l+2w=212

l=5w+16

2l+2w=212, l=5w+16

substitute

2(5w+16)+2w=212

12w+32=212

12w=180

w=15

L=5w+16

L=5(15)+16

L=91


Related Questions

a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed

Answers

Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)

The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,

F = p cos(20º) - w sin(30º) - f = 0

We're given p = 75 N, and

w = m g = (25 kg) (9.80 m/s²)

so

f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)

f ≈ -52 N

That the magnitude is negative makes me think there's a mistake in the question.

Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0

Answers

Answer: 105ft^3

Step-by-step explanation:

Answer:

[tex]105ft^{3}[/tex]

Step-by-step explanation:

V(h) = h(–h + 10)(–h + 8)

Apply the distributive property to the right side and simplify.

V(h) = h(–h + 10)(–h + 8)

V(h) = {h(-h) + h(10)}(-h+8)

V(h) = (-h²+10h)(-h+8)

V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)

V(h) = -8h² -10h² + 80h

V(h) =  -18h² + 80h

Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h)   =  -18h² + 80h and create a table

h | V(h)

1  | 63

2 | 96

3 | 105 <------maximum volume is the highest y-value

4 | 96

5 | 75

6 | 48

7 | 21

8 | 0

9 | -9

The maximum volume for the domain 0<h<10 is 105 cubic feet.

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

How do you solve this: 2x(3-a)=a(2-b) to find b?

Answers

E = mc^2 get it now
Yea yea

Answer:

b=-2(3x-xa-a)/a

Step-by-step explanation:

2x(3-a)=a(2-b)

6x-2xa=2a-ab

b=-2(3x-xa-a)/a

You can simplified to top because im a little lazy, sorry

Helps PLEASE?!
What is the equation of line A? and
What is the equation of line B?

Answers

Answer:

Line A: [tex]y=1.5x+1[/tex]

Line B: [tex]y=-1/3 x[/tex]

I hope this helps and good luck!

2w^3 - 6w^3 what is the sum or difference?

Answers

Answer:

-4w^3

Step-by-step explanation:

Constant rate of 2/6, 4/12, 5/15, 6/8, 10/30

Answers

Answer:

ysME

Step-by-step explanation:

How to solve (10 points)

Answers

Answer:

side 1: 10 = 15

side 2: 6 = 11

im not 100% sure this is correct

Step-by-step explanation:

13-8 = 5

so we add 5 on each side

10 + 5 = 15

6 + 5 = 11

Ocho veces un numero aumentado en 30 es igual a seis veces el mismo numero, aumentado en 50.¿De que numero se trata?

Answers

Answer:

25 sobre 117. no estoy segura pero eso es lo que gare llo

what is downpayment?​

Answers

Answer:

Down payment is when you are trying to by something that is expensive up front like a house or a car.  It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.

Step-by-step explanation:

I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.

Find the slope on the like exain or show your reasoning

write and equation for the line.

find the values for A and B. Explain your reasoning. ​

Answers

Answer:

Step-by-step explanation:

Find the slope and then the equation of line.

(x₁ , y₁) = (2 , 2)   & (x₂, y₂) = (6 , 10)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

        [tex]= \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2[/tex]

m = 2

Equation of the line: y - y₁  = m(x - x₁)

              y - 2 = 2 (x - 2)

              y - 2 = 2x - 4

                   y = 2x - 4 + 2

                  y = 2x - 2  --------------(I)

(a, 8)  

Plug in x = a & y = 8 in (I)

8  = 2a - 2

8 + 2 = 2a

10   = 2a

a = 10/2

a = 5

(4 , b)

Plug in x = 4 & y = b in (I)

b = 2*4 - 2

b = 8 - 2

b = 6

Answer:

dog peas

Step-by-step explanation:

donkey peas

3. Which number is a distance of 4 units away from 2 and a distance of 2 units from -4?
HH
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6

Answers

Answer:

-2

Step-by-step explanation:

2.

If the sun is approximately 1.5 x 1011 meters from Earth, what is the approximate distance from Earth to Mars?


It was supposed to be 10 to the 11 power but it didn’t do it. It out 1011

Answers

Answer:

The distance from Earth to Mars is 8×10¹¹ m.

Step-by-step explanation:

Given that,

The speed of light is 3×10⁸ m/s. The sun is approximately 230,000,000,000 m from Mars. If the sun is approximately 1.5 x 10¹¹ meters from Earth, what is the approximate distance from Earth to Mars.

The sun is approximately 2.3 × 10¹¹ m from Mars.

The sun is approximately 1.5 x 10¹¹ m from Earth.

The distance between from Earth to Mars is :

d = 2.3 × 10¹¹ m - 1.5 x 10¹¹ m

= 8×10¹¹ m

Hence, the distance from Earth to Mars is 8×10¹¹ m.

9
Use the graph to answer the following questions.
D
175
150
(4.150)
125
Total Cost
100+
(2.100)
75
50 10.50
25
Days
Part C: Write the equation for the line if x = the number of days and y = the total cost.
So
IM 2020
10
Use the graph to answer the following questions.
a

Answers

Your equation for the first point will be y=x+50

Explanation...

The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.

Your equation for the second point will be y=2x+100.

Explanation...

Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.

Your equation for the third point will be y=4x+150

Explanation...

Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.

1:1.2 as a fraction pls tell me in one minute

Answers

Hello!

the answer is 83/100!

Hopefully this helps ^^

Into a mixed number btw. Marcos talks to his grandfather in Alabama for about 95 minutes per month about how long does her talk each day on average? (Hint: use 1 month=30 days)

Answers

Answer:

The answer is 3.16666667 its simple u just divide 95 by 30

Step-by-step explanation:

Answer:

3.06451613

Step-by-step explanation:

You divide 95 by 31 to get 3.06441613

Twice the sum of a number and five is equal to six

Answers

Answer:

-2

Step-by-step explanation:

Let the no. be x

So, By question,

2(x+5)=6

x+5=3

x=-2

Answer:

2(n+5)=6

Step-by-step explanation:

twice=2*

the sum of a number and five= (n+5)

equals six-=6

------------------------------------------

DISTRIBUTE= 2n+10=6 (Distributive Property)

subtract 10 on both sides= 2n=-4   (subtraction Property of Equality)

divide by two on both sides= n=-2 (Division Property)

Write and algebraic expression for 10 less than the product of seven and F

Answers

Answer:

f(x) = 7x-10

Step-by-step explanation:

Complete question;

Write and algebraic expression for 10 less than the product of seven and a number.

Let the number be x;

The product of seven and the number is expressed as;

= 7 * x

= 7x

If 10 is less than the product of seven and a number then the expression becomes

7x - 10

The required algebraic expression is f(x) = 7x-10

will give brainlest plz help!!!Which relation is a function?

Answers

The correct answer is the graph in the top right corner because it is a constant function. The bottom left graph is also considered a function but is an absolute function. So both are technically correct.

The answer is actually the graph with the arrows forming a V because it passes the vertical line test

If 4/5 – 3/10 = x + 11/2, find the value of
X.​

Answers

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

If my answer helped, kindly mark me as the brainleist !!

Thank You!!

Answer:

maybe -5

Step-by-step explanation:

4/5-3/10=x+11/2

1/2-11/2=x

-10=2x

x=-5

57x2.3 what is the anser pls help

Answers

Answer:

285.00

Step-by-step explanation:

Because you change 57 to a decimal (57.0) then you multiply.

57.0×2.3=285.00

today is my birthday wish me a happy birthday

Find the arc length of the partial circle.

Answers

answer should be 9.42 units, hopefully this helped ^^

Can anyone please help with this problem ASAP ?

Answers

Answer:

4 would be $55.00 and 8 would be $75.00

4) 55
8) 75

Hope this helps

If you have $25 and your friend wants to borrow $18 what percent of your money is he borrowing? *

Answers

Your friend is borrowing 72% of your money. Please comment if you need further explanation I’d be happy to walk you through how to solve it!

Use row 3 to write an equivalent ratio for the amount of apple juice to orange juice used in 3 smoothies. To create this ratio, what did Sarah do to each number in row 1?

Answers

She doubles the amount of orange juice for apple juice, the first one would be 16:8 but if you want it simplified then it would be 2:1

Does the graph represent a function?

Answers

I believe the answer is No, the graph doesn’t represent a function. It has more than one of the same x value.

What is the slope of a line perpendicular to the line passing through the points P (2,5) and Q (-3,7)?

Answers

Answer:

2/5

Step-by-step explanation:

perpendicular line means the two lines' slope when multiplied together gives a answer of -1.

hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.

slope of the line PQ:

(7-5)/(-3-2) = -2/5 (slope formula)

slope of the perpendicular line:

-2/5 x slope = -1

slope = (-1)/(-2.5) = 2/5

(Conditionals)
TRUE OR FALSE:
If a number is a perfect square, then it has only 3 factors.

Answers

Answer:

False

I hope this helps!

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?

Answers

Answer:

6%

Step-by-step explanation:

90 + 60 = 1507 + 2 = 9Set up a proportion: [tex]\frac{9}{150} = \frac{x}{100}[/tex]  Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6So, 6% of students in 6th grade were left-handed

I hope this helps!

Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u  use this method 6/90 multiply by 100 and u get 7.77%

write the slope - intercept form of the equation. PLEASE HELP. i will mark brainliest

Answers

Answer:  

Step-by-step explanation:  To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.

For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.

The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.

The reciprocal of any number or fraction is whatever you multiply it by to get 1.  4 times 1/4 is  1  5/4 times 4/5 is 1.  What about 1 ?  1 times 1 is 1. So one is its own reciprocal!

I hope this helps. (we're not supposed to give answers to t e s t s.)

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