Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

Answer 1

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

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Related Questions

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.

Answers

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

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1. Which of the following situations could be represented by the equation y = - 2x + 88

a) Trey has traveled 2 miles and continues to travel ala speed of 88 miles per a hour b) Greg bas $88 in a short term savings account, and he deposits $2 each day. c) The temperature in Williamsburg Is 88° and increases about 2° each houn d) Priscilla is grading her homework and has an 88 so far. She will lose 2 points​

Answers

Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Find the quotient 40,936 4 34.

Answers

[tex]40936434. \times 10 {}^{7} [/tex]

Cuanto es ³/4 de cerezas

Answers

Answer:

3/8

Step-by-step explanation:

Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.

Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.

Answers

Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

y/4 − 2 = 9

what does y =

Answers

Answer:

y = 44

Step-by-step explanation:

First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.

Hope this helps :)

y/4 - 2 = 9

Turns into

y/4 = 11

Then multiply both sides by 4 to get rid of the division

y = 44

Which expression is equivalent to 7/8

A: 5/8 + 2/8 + 1/8

B: 3/8 + 3/8 + 1/8 +1/8

C: 4/8 + 2/8 + 1/8

D: 4/8 + 2/8 + 2/8​

Answers

C. 4/8 + 2/8 + 1/8 is equivalent to 7/8

C:4/8+2/8+1/8

brainlist me please

the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___​

Answers

Regression equations are used to represent the relationship between the x and y variables.

The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

Using a graphing calculator, we have the following parameters

Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]

The regression equation is represented as:

[tex]\mathbf{y =bX +a}[/tex]

Where:

[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

So, we have:

[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]

[tex]\mathbf{b = -0.39}[/tex]

Also, we have:

[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

This gives:

[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]

[tex]\mathbf{a = 467.84}[/tex]

Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]

[tex]\mathbf{y =-0.39X +467.84}[/tex]

Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

See attachment for the scatter plot

Read more about regression equations at:

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How to solve quadratic inequalities.

Answers

Answer:

Find the "=0" points

in between the "=0" points, are intervals that are either

greater than zero (>0), or

less than zero (<0)

then pick a test value to find out which it is (>0 or <0)

5.f(1)+5.g(9)=
Please answer the questions

Answers

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

f(1)= -5
g(9)= -6

5 x -5 = -25
5 x -6 = -30

-25 + -30 = -55

You are solving 5 – 8/3

=y/3
. Which equation will you get if you multiply both sides by 3?

Answers

Answer:

y=0.76

Step-by-step explanation:

5-8/3 = 3y

(5-8/3) x 3 = 3y x 3

6.9=9y

9y=6.9

y=6.9/9

y=0.76

Find the perimeter. Simplify your answer.

Answers

Answer:

The answer is 19s +23

Step-by-step explanation:

You add together all the sides and simplfy down.

4s+10+s+4+4s+10+10s-1

Add all the like terms

until it gets to 19s+23

Answer:

19s + 23

Step-by-step explanation:

P = 2(4s + 10) + s+4+19s-1

P = 8s + 20 + s + 4 + 10s - 1

P = 19s + 23

LA Fitness Club charges an initial fee of $25
plus a monthly fee of $15. 24 hours fitness club
charges $45 initially plus $10 per month. In
how many months will the clubs cost the
same? How much is the cost?

Answers

Let’s make a system of equations
LA fitness club: y=15x+25
24 hours fitness club: y=10x+45
Then we substitute y to make them equal
15x+25=10x+45
5x=20
x=4
So therefore, 4 months and they will be equal

A radar gun measured the speed of a baseball at 92 miles per hour.

If the baseball was actually going 90.3 miles per hour, what was the percent error in this measurement?

Answers

Answer:

subtract the actual measurement from the initial measurement

ie. 92-90.3 =1.7 %

You can calculate the error and then measure how much percent of the real value, the error came.

The percent error in the considered measurement is of approx 1.88%

How to calculate the percent error?

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]

Sine in the given condition, we have:

Actual measurement = 90.3 miles per hourEstimated measurement = 92 miles per hour

Thus, we have

Error = 90.3 - 92 = -1.7 miles per hour

Thus, the percent error is calculated as:

[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]

Thus,

The percent error in the considered measurement is of approx 1.88%

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How do you do order of operations step by step?.

Answers

Answer:

                    "Please excuse my dear Aunt Sally or PEMDAS"

____________________________________________________________

Please stands for Parentheses, so we solve everything inside of the parentheses first.

Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.

Multiplication, which is the My, and this happens from left to right.

And then division, which is the “Dear,” which also happens left to right.

And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”

One number is 3 times another. If the difference between the numbers is 14, what is the larger number?

Answers

Answer:

21

Step-by-step explanation:

One number is 3 times another

x and 3x

difference between the numbers is 14,

3x - x = 14

simplify

2x = 14

Divide both sides by 2

x = 7

3x = 21

Answer:

The larger number is 21.

Step-by-step explanation:

let, the smaller number be x.

the larger number be 3*x =3x.

Now,

3x-x=14

or, 2x=14

or, x=14/2

x=7

here,

3x=3*x=3*7=21

True answer only) branlest)​

Answers

Answer:

The perimeter of this triangle is 33m.

We can find this by knowing a few things.

1. All sides of this triangle are the same because all the angles are the same.

2. This is an equilateral triangle.

The first thing we need to do is find out what x equals. We can do this by taking 2 of the equations and setting them up like so...

[tex]( 7x - 17 ) = ( 4x - 5 )[/tex]

Then we can plug this into a calculator and find out that x equals 4. And from there we can plug that x value into the equation. And since all sides are the same we just need to find the length of one side and multiply that by 3. So...

[tex]2x+3 = (2*4) +3[/tex]

Then we do some simple math to find that one side has a length of 11m so the entire perimeter is 33.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8

Answers

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,

Answers

Answer:

going up by 2 numbers

Step-by-step explanation:

Going up by -2 for example from 1 to -1 you are go up by -2

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

y=-2/5x-3


plzz help help meeeeeeeee​

Answers

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

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3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

which of these tables represents a function? HELP ASAP

Answers

Where’s your picture?

solve pls brainliest

Answers

1. None, it makes a cylinder

2. C

3. B

4. A

Suppose that a piano costs $6,000 and loses 15% of its value each year. The table below shows the value, v, of a piano after, t, years.
Part A: Write an equation to find the value of the piano, v, after t years.
Part B: What will be the value of the piano after 16 years? Round your answer to the nearest hundredth.

Answers

v(value)=6000-0.15t(years)

Part B would be $445.50

4.$3132.03

5$2662.23

6$2262.89

7$1923.46

8$1634.94

9$1389.70

10$1181.24

11$1004.05

12$853.45

13$725.43

14$616.61

15$524.12

16$445.50

What is the slope intercept equation from the graph?

Please help me thank u!

Answers

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

If x = 2, calculate the value of: 2x2 - x

Answers

It 2x2= 4 then if x=2. Then you have to subtract 4 - 2 that will equal you to 2. 2 is the answer I think

Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs​

Answers

Answer:

30 eggs.

Step-by-step explanation:

Cracked eggs: 120 x 25/100

=> 120 x 1/4

=> 30 eggs.

Therefore, 30 eggs are cracked.

Hoped this helped.

Joseph is pouring concrete for his new patio. The area of the patio is 25.2 square feet
and the length is 7.2 feet. What is the width, w, of his patio?

Answers

Answer:

3.5ft

Step-by-step explanation:

A = L(W)

25.2 = 7.2(W)

3.5 = W

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