The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width

Answers

Answer 1

Answer:

Length is 336 in, width is 252 in

Step-by-step explanation:

Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is  4:3, multiply 84 by 4 for the length and 84 by 3 for the width.

Answer 2

The length and the width of the rectangle are 28 in and 21 in, respectively.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.

The area of a rectangle is given by the formula:

Area = Length × Width.

Given that the area is 588 in², we can set up the equation:

(4x)(3x) = 588

12x² = 588

Dividing both sides of the equation by 12:

x² = 588 / 12

x² = 49

Taking the square root of both sides:

x = √49

x = 7

So, x = 7.

Now we can find the length and width:

Length = 4x = 4(7) = 28 inches

Width = 3x = 3(7) = 21 inches

Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2


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It would be 5/48 just as they said above

Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.

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Answer:

3.3 or 10/3

Step-by-step explanation:

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f, it isnt doing anything as going up in units of water

Step-by-step explanation:

Vertical Angles: Find the Supplementary Angles (photo provided)

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Answer:

105°

Step-by-step explanation:

The given angles are vertical and congruent , then

8x - 21 = 6x + 3 ( subtract 6x from both sides )

2x - 21 = 3 ( add 21 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Then

6x + 3 = 6(12) + 3 = 72 + 3 = 75°

Supplementary angles sum to 180° , thus

supplementary angle = 180° - 75° = 105°

who want head...no but frr?​

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Answer:

I’m ok without it

A. The rate of change of function A is -2 The rate of B is 8

B. The rate of hangs function A is 1 The rate of change of function B is 8

C. The rate of change of function A is -2 The rate of change of function B is 4

D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4

Answers

D I believe



If it’s not I’m sorry


Please solve this for me! Thank you so much I appreciate you. tpwk

Answers

Answer:

C

Step-by-step explanation:

Please help me I’ll give all my coins!

Answers

x = 3



-4 - 5x + 10x + 9 = 20

-4 + 5x + 9 = 20

5x + 5 = 20

5x + 5 - 5 = 20 - 5

5x = 15

5x/5 = 15/5

x=3

Answer:

x=3

Step-by-step explanation:

-4-5x+10x+9=20 ] +4

-5x+10x+9=20+4 ] -9

-5x+10x=24-9

5x=15

15:5=3

x=3

Pls help me!!! And thank yiuuu!!!

Answers

Answer:

[tex]\huge\boxed{x = 8}[/tex]

Step-by-step explanation:

In order to solve for x, we need to note a few angle relationships here.

A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.

Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.

[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]

Hope this helped!

The ratio of cats to dogs at a pet store is
4:5, which means...

Answers

Answer:

Huhhhhhhhhhhhh 4x and 5x

David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?

Answers

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

A linear function is a function that changes at a constant rate.

David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in sales

The given parameters are:

Flat Salary = $250 weeklyCommission= 5%

A linear function is represented as:

[tex]C(x) = b + mx[/tex]

Where:

b represents the y-interceptm represents the slope

So, we have:

[tex]C(x) = 250 + 5\% \times x[/tex]

Express 5% as decimal

[tex]C(x) = 250 + 0.05 \times x[/tex]

[tex]C(x) = 250 + 0.05x[/tex]

On a sale of $1500, the equation becomes

[tex]C(x) = 250 + 0.05 \times 1500[/tex]

[tex]C(x) = 325[/tex]

Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales

Read more about linear equations at:

https://brainly.com/question/14323743

Find the value of x using the pythagorean theorem.

Do the side lengths form a pythagorean triple?

Answers

Answer:

[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]

plzz ,thnx my answer...

How do I give brainliest I forgot whoever lets me know how I will give them it

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You have two people answer and whoever answer you think is better you can mark them as brainliest

Which price is equivalent to $1.50 for 1 pound of apples?​

Answers

Answer: $3.00 for 2 pounds of apples

Step-by-step explanation:

Answer:

A: 6 pounds of Apples for 9$

9/6=1.5=$1.50 per pound

Step-by-step explanation, no need to.

What is the area of the triangle?
7
5
4

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which number is the height? and which number is the base?

Look at the problem above and please tell me which is correct

Answers

I think it's the third 4 ( а² + 2а ) + 9

The answer should be C

Drag each tile to the correct box.
Each of these equations holds true for one value of x from the set {5, 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true.
6x - 15 = 75
2(2x - 1) = 46
X + (x - 10) = 26
5x - 3x = 10
Reset
Next

Answers

Step-by-step explanation:

6x - 15 = 75, 6x = 90, x = 15.

2(2x - 1) = 46, 2x - 1 = 23, x = 12.

x + (x - 10) = 26, 2x = 36, x = 18.

5x - 3x = 10, 2x = 10, x = 5.

Hence the equations

in increasing order of x-values are:

5x - 3x = 10,

2(2x - 1) = 46,

6x - 15 = 75, and

x + (x - 10) = 26.

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

x = –8, y = 7, and z = –11. x - (-z)

Answers

Answer:

[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]

-19 is the right answer.

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Answers

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

the measure of ∠G is 82°. What is the measure of its compliment?

Answers

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

is 315/8 rational or irrational

Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

find the value of x..

Answers

Answer:

B x = 7

Step-by-step explanation:

You know based on the ratio that it's being scaled by 4 times because the one side 4 is 16 in the bigger pentagon.

So if you go the side that matches the one you need to solve, it's 2.5.

2.5 times 4 = 10 so that bigger pentagon side should equal 10.

The equation x-3 = 10

which means x is 7

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Answers

Answer:

Option A

Step-by-step explanation:

Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.


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Answer:
7) C
8) A
9)D
10)B

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Which recursive formula fits the following pattern? 50, 25, 12.5, 6.25, 3.125...

Answers

Answer:

1.5625

Step-by-step explanation:

Find the ratio (r) between adjacent members: 50,25,12.5,6.25,3.125

a_2/a_1=25/50=0.5

a_3/a_2=12.5/25=0.5

a_4/a_3=6.25/12.5=0.5

a_5/a_4=3.125/6.25=0.5

The ration (r) between every two adjacent members of the series is constant and equal to 0.5 thus:

a_6 =a_1×(^r6-1)  =a_1×r^5 =50×0.5^5 =1.5625

____________________________

Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485

Answers

1x - 13y + 475

Step-by-step explanation:

[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]

3x + 4y - 2x - 2 + 8y - 8 - 25y + 485

3x - 2x + 4y + 8y - 25y - 2 - 8 + 485

1x + 4y + 8y - 25y - 2 - 8 + 485

1x + 12y - 25y - 2 - 8 + 485

1x - 13y - 2 - 8 + 485

1x - 13y - 10 + 485

1x - 13y + 475

HOPE THIS HELPS YOU

Need help tx sm I appreciate it

Answers

Answer:

x =11

Step-by-step explanation:

Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle

From the diagram

Interior angles = 5x +10 and 58

Interior angle = 11x+2

Equate both expressions

5x + 10 + 58 = 11x+2

5x - 11x  = 2 - 10 - 58

-6x = 2-68

-6x = -66

x = -66/-6

x = 11

Hence the value of x is 11

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