The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.

Answers

Answer 1

Answer:

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in


Related Questions

GUYS PLS HELP 25 POINTS + BRAINLIEST IF CORRECT ANSWER

Answers

Answer:

B) 50º

Step-by-step explanation:

first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.

Answer:

C

Step-by-step explanation:

your answer is C because when you solve the answer question you get 60 degrees .What I did to get the answer is that I solve each solution answer and that is how I got 60 degrees

Hope this helps:)

Pls mark brainlist



On Friday and Saturday, there were a total of 200 cars in a parking lot. On Friday, there were 120
m the lot. What percent of the total number of cars were in the parking lot on Saturday?

Answers

Answer:

0.4

Step-by-step explanation:

QR is parallel to ST Rs is parallel TU QS is congruent to SU

prove QRS is congruent to STU

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

learn more about congruency here :

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3 There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

Answer:

Number of boys = 675

Step-by-step explanation:

Given that:

There are 5 times as many boys as girls in a school.

Number of pupils in school = 810

Let,

x be the number of girls

y be the number of boys

According to given statement;

x+y=810      Eqn 1

y = 5x         Eqn 2

Putting y=5x in the Eqn 1

x+5x=810

6x=810

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{810}{6}\\x=135[/tex]

Putting x=135 in Eqn 2

y = 5(135)

y = 675

Hence,

Number of boys = 675

When Georgie buys three boxes of apples she has 40 pounds more than when she has one box of apples. How many pounds of apples will there be an eight boxes?

Answers

Answer:

160 pounds

Step-by-step explanation:

If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds

2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.

Answers

Answer:

8000

Step-by-step explanation:

Please help me if u know

Answers

Lol I’m lookin for the same answer

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

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Is the given value a solution of the inequality?

Answers

Answer:

I don't think so

Step-by-step explanation:

if the s has to be more than or equal to then s would have to equal 8 or more

The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?

Answers

Answer:

P = 14.5+4x

Step-by-step explanation:

Let the width of the room is x.

Length = 7.25 feet longer than the width = 7.25 +x

We need to find an expression the represents the perimeter of the room.

Perimeter = sum of all sides

P = 2(l+b)

l is length and b is width

P = 2(7.25 +x+x)

=2(7.25 +2x)

=14.5+4x

Hence, the required expression for the perimeter is 14.5+4x.

Factor using the trinomial
10.
X2 + 13x + 12

Answers

Answer:

Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]

Step-by-step explanation:

We need to factor the trinomial: [tex]x^2+13x+12[/tex]

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

[tex]x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)[/tex]

So, Factoring the trinomial: [tex]x^2+13x+12[/tex] we get the factors [tex]\mathbf{(x+1)(x+12)}[/tex]

Can somebody help me thank you.

Answers

The second one (7x6)-6= 36 you multiply 7 and 6 to find the total batteries and them minus 6 for the batteries used in the flash light

Does the graph in Exercise 33 have a Hamilton path? If

so, find such a path. If it does not, give an argument to

show why no such path exist​

Answers

;

Answer:

there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2

Step-by-step explanation:

a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

Evaluate the expression P(6,1)

Answers

Answer:

p(6,3)=120

Step-by-step explanation:

In the pic is how to do it

The value of the permutation expression P(6, 1) will be 6.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Evaluate the expression P(6, 1).

We know that the formula for the permutation is given as,

ⁿPₓ = n! / (n - x)!

From the above, the value of n is 6 and the value of x is 1. Then we have

⁶P₁ = 6! / (6 - 1)!

⁶P₁ = 6! / 5!

⁶P₁ = 6 x 5! / 5!

⁶P₁ = 6

The value of the permutation expression P(6, 1) will be 6.

More about the permutation and the combination link is given below.

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Find z if the standard normal curve area between – z and z is 0.4530.

Answers

Answer:

Step-by-step explanation:

Hi,

1) Find z if the standard normal curve area between -z and z is 0.4530.

Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226

a. ± 0.118

b. ± 0.398

c. ± 0.602 <==ANSWER

d. ± 0.752

2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3

normalcdf(112.3, 500, 104.3, 5.7) = .08023

a. 0.08 <==ANSWER

b. 0.09

c. 0.10

d. 0.11

3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.

70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER

I hope that helps!! :-)

8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red

Answers

Answer: then its blue, 1/3

Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?

---

I guess the ball was blue.

P(blue) = 7/21 = 1/3

20 to the power of 3 divided by 2​

Answers

Answer:

4000

Step-by-step explanation:

20 to the power of 3 is 8000 and 8000/2 is 4000

20^3 = 8000 / 2 = 4000

Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.

On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).

To complete the pentagon, she can choose only from the points below.

(2, 0), (–2, 0), (–2, 4), (2, 4)

How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Answers

Answer:

D

Step-by-step explanation:

Connect the point already at (0, –2) to a new point at (2, 0), connect

(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Im pretty sure

Answer:

D

Step-by-step explanation:

What is the solution to the system? x + y = 4 x+y=1​

Answers

Given :

x + y = 4x + y = 1

To Find :

The value of x and y.

Answer :

x + y = 4 ....[Equation (i)]x + y = 1......[Equation (ii)]

Adding eqⁿ (ii) and eqⁿ (i) we get :

→ x + y + x - y = 4 + 1

→ 2x = 5

→ x = 5/2

x = 2.5

Now, put the value of x = 5/2 in eqⁿ (i) we get :

→ x + y = 4

→ 5/2 + y = 4

→ y = 4 - 5/2

y = 1.5

Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)​

Answers

Answer:

x²/4 + y²/16 = 1

Step-by-step explanation:

Foci on the y axis: major axis parallel to y axis

x²/b² + y²/a² = 1

x²/4 + y²/16 = 1

The required equation of an ellipse is given by x²/4 + y²/16 = 1

Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)​, the equation of the ellipse is to be determined.0

What is an ellipse?

Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.

Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1

Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.

Learn more about the conic section here:
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SOMEONE PLEASE PLEASE HELP ME

Answers

Answer:

taking cos

co62=b/h

cos 62=x/12

0.46947x12=x

so, x = 5.633

rounding off

x= 6

Answer:

x = 6.0

Step-by-step explanation:

Formula For Cos: cos (angle°) = adjacent/hypotenuse

Angle = 62

Adjacent = x

Hypotenuse = 12

cos (angle) = adjacent/hypotenuse

cos (62) = x/12

0.67350716232 = x/12

0.67 = x/12 (Rounded to make further calculations simpler)

12(x/12) = 12(0.67)

x = 8.04

x = 6.0 (Rounded to nearest tenth)

Therefore, x = 6.0

Hope this helped! <3

Need help please ???????

Answers

Answer:

5pm

Step-by-step explanation:

5 x 4= 20 miles

4 x 5= 20 miles

What is the area of the figure to the nearest hundredth 14m and 4 m

Answers

First you have to find the area of the rectangle which is 14 cm by 4 cm = 56 cm and then find the area of the semicircle which is 1/2(radius by pi): 0.5(4 by 3.14)= 12.56cm
56 cm+ 12.56 cm =68.560 cm to the nearest hundredth is 68.56 cm
Hope it helps☺️

Answer: I believe its 56

Step-by-step explanation:

how many 3/2s are in 5

Answers

Answer:

15 fifths

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3/2 is equal to 1.5 and 3 1.5s can fit in 5 equaling 4.5

What is 1 infinity plus 1 infinity equal.​

Answers

Answer:

infinity

Step-by-step explanation:

lol

Infinity your welcome :)

What are the names of these polygons?

Answers

Answer:

1)Quidrilateral

2)Pentagon

Find the volume of this cuboid.
6 cm
8 cm
10 cm

Answers

Answer: the volume is 480 cm

Step-by-step explanation:

You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.

Answer:

lb×bh×hl

6×8×8×10×10×6

48×80×60

230400

A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer

Answers

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

it would be 14. 2 minus 12.50 is 10.50 which divided by .75 is 14

which expression is equivalent to 15+8x+3+2x​

Answers

Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

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