The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Answers

Answer 1

Answer:

Width = 18 inches

Length = 59 inches

Step-by-step explanation:

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Perimeter of a rectangle = 2L + 2W

The length of a rectangle is five more than triple the width.

L = Length = 5 + 3W

W = Width

If the perimeter is 154 inches, what are the dimensions

Hence,

154 = 2L + 2W

154 = 2(5 + 3W ) + 2W

154 = 10 + 6W + 2W

Collect like terms

154 - 10 = 8W

144 = 8W

W = 144/8

W = 18 inches

Length = 5 + 3W

Length = 5 + 3(18)

Length = 5 + 54

Length = 59 inches


Related Questions

Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)

Answers

Answer:

        y = ¹/₃x + 11

Step-by-step explanation:

A line passing through point (x₁, y₁) with the slope of m in point-slope form:

 y - y₁ = m(x - x₁)

m = ¹/₃

(-6, 9)      x₁ = -6,  y₁ = 9

So:

y - 9 = ¹/₃(x - (-6))

y - 9 = ¹/₃(x + 6)     ←    point-slope form

y - 9 = ¹/₃x + 2        {add 9 to both sides}

y = ¹/₃x + 11        ←  slope intercept form

Ryan is outside playing basketball. He is 5 ft tall and at this time of
day is casting a 12 ft shadow. The basketball hoop is 10 ft tall. How
long is the basketball hoop's shadow?

Answers

Answer:

17

Step-by-step explanation:

The basketball hoop’s shadow is 24 ft tall.
Explanation:

What is the range of the function in the graph below(photo imported)

Y is less than or equal to -2

Y is less than or equal to 0

Y is less than or equal to -1

all real numbers

Answers

Answer: y is less than or equal to -1

How?

The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.

The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2

:)

Can someone help solve question 12 and 13 please

Answers

12. slope is undefined
13. zero slope

answer:

the answers are undefined and zero ( and in that order )

step-by-step explanation:

for question 12,

x = 10

since that equation is just a vertical line, the slope is undefined!

but for question 13

y = -5

the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )

i hope this helps you and if you need anymore help then please feel free to ask me! :)

Tom is an artist and plans to paint and sell some miniature paintings. The paint and canvas for each painting costs $10 and then he bought some brushes for $50. If he plans on selling each painting for $20, how many paintings must Tom sell to break even?

Answers

Answer:

3

Step-by-step explanation:

50+10=60

20 x 3= 60

 Tom needs to sell at least 5 paintings to break even.

What are the cost price and selling price?

1. Cost price = Selling price − profit ( when selling price and profit are given )

2. Cost price = Selling price + loss ( when selling price and loss are given )

Given here each canvas and painting cost $10 and he bought brushes for $50. Now for each painting his profit is = $20-$10 = $10 but he has still miscellaneous expenses for the brushes to account for hence to break even he has to make a profit totaling $50 thus he must sell 5 paintings to break even.

Hence, he has to sell 5 paintings

Learn more about cost price and selling price here:

https://brainly.com/question/29511226

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Omg Pls help

Which figure is similar to the shaded one

Answers

Answer:

the answer should be A

Step-by-step explanation:

hope it helps, have a good day :)

A is similar to the shaded shape

The student council sent its members on four field trips during the school year. The number of
buses needed to transport the members on each field trip is a function of the number of members
who went on each trip. This function consists only of the ordered pairs (52,3), (72, 4), (86,5),
and (105, 6). What is the DOMAIN for this function?

Answers

Answer:

{52,72,86,105}

Step-by-step explanation:

hope this helps   :)

Freddie invests £6600 in an account that pays 3 % compound interest per annum for the two years, then 1 % . Work out how much money Freddie will have in his account in 8 years.

Answers

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

More can be learned about compound interest at https://brainly.com/question/25781328

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The following triangle is equilaterial triangle. Solve for the unknown variable.

Answers

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Hola. Ayuda con estos problemas de geometría plana. Regalo 20 puntos a la respuesta correcta...​

Answers

hola i don’t understand

Answer:

GRA

Step-by-step explanation:

Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?

Answers

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]

and it will be -7.

I hope this helps      :)

If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?

Answers

3x+5=7x-8
4x=13
x=13/4
the answer is 13/4

Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?

Answers

Answer:

43.5625 kilometers

Step-by-step explanation:

hi!

To solve this problem, you have to take note of the important information which is:

- 10.25 km/hour

- 4.25 hours

- how far did she travel?

To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers

10.25*4.25 = 43.5625 kilometers

I hope this helped :)

What is the area of this

Answers

Answer:

12m

Step-by-step explanation:

Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft

Answers

Answer:

15 ft

Step-by-step explanation:

A right triangle is formed by h, the radius and the slant height

Given diameter = 16, then radius = 16 ÷ 2 = 8

Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

Step-by-step explanation:

Priya ran 1 ½ miles today, and Tyler ran 3 ¾ miles today. How many times the length of Tyler's run was Priya's run?

Answers

Answer:
2.5
Step-by-step explanation:

A pizza is cut into 8 equal pieces. Jeremy ate 3 of them. Frank ate 2 of them. Then Bill and Harley showed up and shared the rest of the pizza equally. Together, how much of the pizza did Jeremy and Bill eat? Choose your answer to a simplified fraction.

Answers

If I’m not mistaken I took this on a quiz before and I think it’s 1 1/2

Answer:

4 1/2

Step-by-step explanation:

Jeremy ate 3 slices. Then bill ate half of 3 slices of pizza which is 1 1/2. Add them up and you get 4 1/2.

PLEASE HELP IM DESPERATE ​

Answers

It’s the first one, because you want 102% of the following.

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.

9, 15, 19

A) acute
B) obtuse
C) right
D) not a triangle

Answers

Answer:

Step-by-step explanation:

The sum of the two smaller sides of a triangle must be less than the longest side

a+b<c

Since 9+15>19 this is not a triangle.

Please answer quickly

If you can please explain how to do it

Answers

9t - 3t + 4
= 6t + 4

(hence 9-3)

you can do this due to the t being the same unit (classified as a like term). if it were 9t - 3g + 4, it would have to stay the same.

The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field

Answers

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

16 cm to 44.2 cm increase or decrease ​

Answers

Answer:

Increase

Step-by-step explanation:

Answer:

Increase.

Step-by-step explanation:

44.2cm is a higher number than 16cm.

choose all items where the equation matches the given table

Answers

Answer:

1st, 3rd, 4th

Step-by-step explanation:

1st one: 43 x

multiply x by 43

7 x 43 = 301

7 x 43 = 258

10 x 43 = 430

3 x 43 = 129

4 x 43 = 172

(correct)

2nd one: 12x

multiply x by 12

2 x 12= 32

we know that 2 x 12 is 2 so this equation does not work

(incorrect)

3rd one: 202x

multiply x by 202

6 x 202 = 1212

4 x 202 = 808

10 x 202 = 2020

3 x 202 = 606

8 x 202 = 1616

(correct)

4th one: 13x

multiply x by 3

9 x 13 = 117

2 x 13 = 26

7 x 13 = 91

3 x 13 = 36

10 x 13 = 130

(correct)

The radius of the earth is 6370 km what is the approximate circumference of the earth?

Answers

If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.

Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000

Step-by-step explanation:

A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.

Answers

Answer: 50 and 900 is correct

Step-by-step explanation:

50 and or 100

roduct and simplify your answer. 7n(-2n+5n-5) Enter the correct answer.​

Answers

Answer:

[tex]21n^{2} - 35[/tex]

Step-by-step explanation:

[tex]7n(-2n+5n-5)[/tex]

[tex]-14n^{2} + 35n^{2} - 35[/tex]

[tex]21n^{2} - 35[/tex]

Does anyone know what 1/2 of -4x is? I am stuck on a question in math. Please help!

Answers

-2 because i took that test

Which solid has the net shown?

Answers

The answer is square pyramid

Answer:

D

Imagine the triangles of the net going up to meet a point above the center of the square. This would lead to a shape with 5 sides, 4 of which are triangles. The only figure that has only triangles and squares making up the sides is figure D

In the equation: y=3x, what is the 3 called?

Answers

3 is the Coefficient in the following expression.

Lydia's transaction at Walmart. HOW MUCH CHANGE SHOULD HE REC 100-(15+14+345)+4410) +2)
A.$47 B$16 C. $14D. $20 ​

Answers

Answer:

4686

Step-by-step explanation:

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