2
Solve the equation for b. *
(50 Points)
12 = 6 (8) + b
Enter your math answer

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

6. A

7. C

8. C

9. B

-FWEW

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

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Answer:

Since interior angles of hexagon sum up to 720°, [You may calculate this using formula 180(n - 2) where, 'n' is number of sides]

[tex]x + 146 + 167 + 53 + 125 + 133 = 720 \\or, x + 624 = 720\\or, x = 96[/tex]

Answer:

5 cm

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.

Distance = D

Weight = W

Hence:

D ∝ W

D = kW

Where k is constant of proportionality

Step 1

We solve for k

If a spring stretches 2 cm when a 30 gram weight is hung from it.

2 = 30k

k = 2/30

k = 1/15

Step 2

how far will it stretch when a 75 gram weight is hung from the spring?

D = kW

We are solving for D

k = 1/15

D = 1/15 × 75

D = 5 cm

The spring would stretch 5cm with a weight of 75 gram.

Answer:

c=3

Step-by-step explanation:

Answer:300

Step-by-step explanation:

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.

Answer:

Total cost of the house = $725,880

Step-by-step explanation:

This can be calculated as follows:

Down payment = $345,000 * 20% = $69,000

Amount borrowed = $345,000 * (100% - 20%) = $276,000

The total amount of loan repaid can be calculated using the following formula:

A = p(1  + rt) .................... (1)

Where;

A = Total amount of loan repaid = ?

p = Principal or amount borrowed = $276,000

r = annual interest rate = 4.6% = 0.046

t = number of years = 30

Substitute the values into equation (1), we have:

A = $276,000 * (1  + (0.046 * 30)) = $656,880

The total cost of the house can now be calculated as follows:

Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880

Answer:

76%

Step-by-step explanation:

Do turn decimals into percentages you just gotta multiply by 100.

0.76×100=76

Answer:

24

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Answer:

The correct answer is 11/2.

Answer:2 hours and 30 minutes

Step-by-step explanation:

they drive 60 miles in a hour.

Answer:

It is a line with a positive slope and positive intercept

Step-by-step explanation:

If you want it in SF, -x + y = 4

Answer: ABC

Step-by-step explanation:

I took it

Answer:

A) segments AB is parallel to segment A’B’.

B) A and A’ have the different coordinates.

C) <C and <C’ have the same measures.

Step-by-step explanation:

Answer:

Is the 4

Step-by-step explanation:

Answer:

[tex]2^{3} *3^{3}[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  Part A: C) The order of discounts does not matter.

  Part B: both prices are $54.91

Step-by-step explanation:

Part A:

The calculation of the final price can be ...

  ((original price)·(1 - membership discount))·(1 -sale discount)

  = ((original price)(0.88))(0.80)

The associative and commutative properties of multiplication tell you this is fully equivalent to ...

  = (original price)(0.80)(0.88)

In short, the order of discounts does not matter.

__

Part B:

When the membership discount is applied first, the final price is ...

  ($78)(0.88)×0.80 = $68.64·0.80 = $54.91

When the sale discount is applied first, the final price is ...

  ($78)(0.80)×0.88 = $62.40·0.88 = $54.91

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Answer:

Summary:

Step-by-step explanation:

Given

We know opposite sides of a parallelogram are equal.

Therefore,

now subtitute AD = x-28 and BC = 3x in AD = BC

AD = BC

x-28 = 3x

switch sides

3x = x-28

subracting x from both sides

3x-x = x-28+x

2x = -28

divide both sides by 2

2x/2 = -28/2

x = -14

Therefore,

The value of x = -14

Now subtitute AB = 12 and CD = 2/3y in AB = CD

AB = CD

12 = 2/3y

switching sides

2/3y = 12

y = 3/2 × 12

y = 18

Therefore,

The value of y = 18

We also know that the opposite angles of a parallelogram are equal.

Therefore,

5w = 70°

divide both sides by 5

5w/5 = 70°/5

w = 14

Therefore,

The value of w = 14

We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.

Here,

m∠B = 70°.

m∠A = (3w+2z)°

As m∠B is adjacent to m∠A.

so

m∠A + m∠B = 180°

so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation

70° + (3w+2z)° =  180°

now substituting w = 14 in the equation

70° +  (3(14) + 2z)° = 180°

70° + (42+2z)° =  180°

70° + 42 + 2z = 180°

112 + 2z = 180°

2z = 180° - 112

2z = 68

divide both sides by 2

2z/z = 68/2

z = 34

Therefore,

The value of z = 14

Summary:

Answer:

19 this is your answer.....

Answer:

Step-by-step explanation:

About 20 feet

Answer:

The y intercept is zero

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y=1/2y

Answer: 500

Step-by-step explanation: Good luck! :D

Answer:

x+2 < 11 and -x-2 < 11

Step-by-step explanation:

absolute value function has two solution

|x| = a

Then x=a and - x= a

|x + 2| < 11

Then x + 2 < 11 and -(x + 2) < 11

x + 2 < 11 and -x - 2 < 11

Answer:

Set up the composite function and evaluate.

g(−5x+5)=25x−20

Step-by-step explanation:

Answer:

Would it not be 1 1/2 cups of water?

Step-by-step explanation:

3/4 of 2 feet is 1 and a half. If Mark wanted to fill it at 4/4 full, that'd be 2 feet. 3/4 is 1 and a half.