The length of a rectangle is triple the width. If the area of the rectangle is 75 square inches, then find the length and width

Answers

Answer 1

Answer:

W = 5

L = 15

Step-by-step explanation:

Formula for Area of Rectangle is L × W

Since stated triple;

L = 3W

Area = L×W = 3W² = 75

It'll be:

3W² = 75

Divide both sides with 3:

3W² = 75

3 3

W² = 25

Then square root both sides:

w = 5

Again stated that length is triple the width:

L = 5 × 3

L = 15

Therefore;

W = 5

L = 15


Related Questions

I need help with this question can someone help??
Question is in photo :p

Answers

Answer:

The answer to this question is 0.6

Step-by-step explanation:

Answer = 0.6

Solution
12/20 = 0.6

Which of the following is the correct factorization of this trinomial?

4x^2 - 0x - 9

A. (4x - 3)(x + 3)

B. (2x - 3)(2x + 3)

C. (2x - 9)(2x + 1)

D. (4x - 9)(x + 1)

Answers

Answer:

B. (2x - 3)(2x + 3)

Step-by-step explanation:

4x² - 0x - 9 = 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3)

used: (a - b)(a + b) = a² - b²

Marcus has 127 baseball cards in his collection. Gabriel has 56 cards in his collection. Gabriel divides his collection evenly among Marcus and 7 other friends. How many baseball cards does Marcus have now?

Use the drop-down menu to show the correct answer.

Marcus has
Choose...
baseball cards now.

Answers

Answer:

134

Step-by-step explanation:

Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.

So Marcus has 127 + 7 = 134 cards

Find the vertex of this parabola:
y = -4x2 + 8x - 13

Answers

Answer:

Below in bold.

Step-by-step explanation:

y = -4x2 + 8x - 13

Divide first 2 terms by -4:-

y = -4(x^2 - 2x) - 13

Convert to vertex form by completing the square:

y = -4[(x - 1)^2 - 1] - 13

y = -4(x - 1)^2 + 4 - 13

y = -4(x - 1)^2 - 9     <---------- Vertex form

y =  a(x -  j)^2 + k       <---------- General form with vertex = (j, k).

So comparing, we see that the vertex is   (1, -9).

Points P and Q are respectively 4m North and 3m East of point R. Calculate the distance between point P and Q​

Answers

PR=4mQR=3m

Apply Pythagorean theorem

PQ²=QR²+PR²PQ²=4²+3²PQ²=5²PQ=5m

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Point P is 4m north (↑) of Point RPoint Q is 3m east (→) of Point R

Using Pythagorean Theorem (applicable for only right triangles)

PQ = √4² + 3²PQ = √25PQ = 5 m

Hope it helped~

Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?​

Answers

Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

What is a Triangle?

A triangle is simply a polygon with three vertices, three side and three sides.

An equilateral triangle is of triangle with all its three sides equal in length.

There area of an equilateral triangle is expressed as;

A = (√3/4) × a²

Where a is the length of the sides.

Given the data in the question;

Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?

First we determine the area of the window which is in the shape of an equilateral triangle.

A = (√3/4) × a²

A = (√3/4) × (15ft)²

A = (√3/4) × 225ft²

A = 97.4279ft²

Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.

CoW = A × C

CoW = 97.4279ft² × $18.75 per ft²

CoW = 1826.77$

Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

Learn more about area of triangles here: https://brainly.com/question/19305981

3. A shirt in a store usually costs $15.99, but today it's on sale for
25% off. The clerk says you will save $4.50. Is that true?
4. A book that usually costs $12 is on sale for 25% off.
How much will it cost?
5. After you answer 60% of 150 math problems, how many do
you have left to do?
90
6. A pet store's shipment of tropical fish was delayed. Nearly
40% of the 1,350 fish died. About how many lived?
7. The shipment had 230 angelfish, which died in the same
proportion as the other kinds of fish. About how many
angelfish died?
8. A church youth group was collecting cans of food. Their goal
was 1,200 cans, but they exceeded their goal by 25%. How
many cans did they collect?

Answers

Step-by-step explanation:

3)

25% of 15.99=0.25×15.99=3.9975

Nope you will save about 4 dollars.

4)

12$ is 100% of its price

If there is a 25% discount, it will cost 75% of its original value.

75% of 12=0.75×12=9

It will cost 9 dollars

5)

You have 40% left of 150

so, 0.4(150)=60

You ANSWERED 90 but you still have 60 remaining.

6)

60% of 1350 lived since 40% died

0.6×1350=810

about 810 lived

7)

40% of the angelfish died

0.4×230=92

92 angelfish died

8)

The collected 125% of what they expected

1.25×1200=1500

They collected 1500 cans

The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?

Answers

Answer:

the answer is 4,750

Step-by-step explanation:

just multiply 950x5

950x5 =4,750 That would be the answer of the volume of five water bottles in meters

can someone help me please​

Answers

Answer:

y=x-5

Step-by-step explanation:

try that my good sir

Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =

Answers

Answer:

a=5, a=-2.5

Step-by-step explanation:

Given:

[tex]2 a^2 - 5 a - 25 = 0[/tex]

Solution:

[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}[/tex]

[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}[/tex]

[tex]a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}[/tex]

[tex]a=5,\:a=-2.5[/tex]

~Lenvy~

Do this fast please, I don't have a lot of time! You will literally gain 100 points answering this!

A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?


Just say A,B,C or D, and then the step by step explanation

Answers

So first y do is is add 5+7 and add 3/10 + 7/10 equal 10/10 so 5+7 + 1 is 13 she used 13 bags of flour the second week she used 1 more than last week

Answer:

1.6

Step-by-step explanation:

Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]

Need help, Brainliest if correct, Don’t answer if you don’t know.

Answers

the measure of angle c is 120

Answer:

C = M = 120

i hope this helps

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

it's "whats shaking"

Step-by-step explanation:

Answer:

k=8.

n=12

a=29

h=5

i=297

g=89

Please write no more than two paragraphs. Assignment is worth 25 points We have been talking about variables and how they are measured. For this assignment, I have assigned a paper for you to study on the potential impacts of a paleolithic diet on cardiovascular markers in patients with diabetes.

Answers

The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.

What is diabetes?

It should be noted that diabetes simply means a condition when the blood glucose is too high.

In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.

Learn more about diabetes on:

https://brainly.com/question/504794

A fence has three posts, equally spaced.Each post is 15 centimetres wide.The length of the fence is 153 centimetres.

Answers

Answer:

Step-by-step explanation:

because there are 3 posts we need to remove 15 x 3 = 45

153- 45 = 108

108/2 = 54 cm between each post

A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?

Answers

Answer:

From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."

Step-by-step explanation

Im sorry if none of these answers are correct.

i will give you both my kidneys for this answer!!!! Select the correct answer.
Consider functions fand g.
f(x) = 3x+1.what is the value of (f(g(1))

Answers

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

https://brainly.com/question/19425686

The composition of functions f ( g ( 1 ) ) = 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ7

Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?

Answers

20.124

Step-by-step explanation:

remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so

9 x 9 = 81

18 x 18 = 324

324+81 = 405

now you have to sq root it (20.1246)

Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?

Answers

The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.

How to compute the insurance?

From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.

The amount paid by the insurance company will be:

= $24000 + $1450

= $25450

When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.

Learn more about insurance on:

https://brainly.com/question/25855858

Which ordered pair is a solution to the following system of inequalities

Answers

B. You can determine this by remember that the ordered pair is like a coordinate, the first digit represents the x and the second represents the y. Plug them in to both equations and if they work in both then it’s a solution, if it works in only one it is not.

Solve: |x-2|=3
Can someone explain how to do this please!!!

Answers

Step-by-step explanation:

after x^2-4x-5 do sum and product

Question 7 (3 points)
A right rectangular prism is shown. Find the surface area of this prism. Refer to your
STAAR 8th Grade Math Reference Sheet for the appropriate formula.

Answers

Answer:

196 square feet

Step-by-step explanation:

(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)

S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196

God bless ya:)

The area of this prism is 196 square feet.

What is the area of ​​the prism?

The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of ​​a base and multiply the result by 2

The formula for the area of ​​the prism is given by:

[tex]S=ph+2b[/tex]

Where:

p=l+l+w+wb=lxw

So we have that:

[tex]s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196[/tex]

See more about area at brainly.com/question/11952845


Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $25. How many erasers did he buy? Answer using two step equations with X as the variable

Answers

Answer:

He bought 7 erasers take 10 dollars and keep adding 2

Three DVDs and four CDs cost $92. Two DVDs and three CDs cost
$65. Find the cost of each tape and CD.

Answers

Answer:

DVD: $16

CD: $11

Step-by-step explanation:

These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:

3x+4y=92

2x+3y=65

When graphed, the solution is at (16,11).

Therefore, one DVD costs $16 and one CD costs $11.

Identify the percent rate of change in exponential function y=(0.9)

Answers

Answer:

90

Step-by-step explanation:

0.9 multiplied by 100 to turn it into a percentage is 90.

The answerrr isss 90

Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?

A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely

Answers

Answer:

Certain

Step-by-step explanation:

If she buys all of them, no one else has a chance because there is no other tickets

What is the equation for the circle with center (-9, 5) and radius 4

Answers

Answer:

[tex]\sf (x+9)^2+(y-5)^2=16[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given:

center = (-9, 5)radius = 4

Substituting given values into the equation:

[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]

[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]

(h,k)=(-9,5)r=4

Equation:-

(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]

3
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
o As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
o As demand rises, the price of the product decreases.

Answers

Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

The round temperature dial on a thermostat has a diameter of 26 millimeters. What is the dial's circumference?

Answers

C = 2 x pi x r = pi x d

so

C = 3,14 x 26 = 81,64 mm

the quotient of the product of 32 and 15 and the difference of 17 and 9 as a numerical expression?

Answers

Answer:

  (32×15)/(17 -9)

Step-by-step explanation:

The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.

__

Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).

Then the desired numerical expression is ...

  [tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]

______

Additional comment

The result of evaluating this expression is ...

  (32×15)/(17 -9) = 480/8 = 60

__

For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".

In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).

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