A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

$39.77

Step-by-step explanation:

Answer: The numbers are 4 and 6.

Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

∴

y

=

10

−

x

(subtracting

x

from both sides)

Replacing the value of

y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

−

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

−

x

)

Opening the brackets and simplifying we get:

3

x

=

20

−

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

Since from the second equation we have:

x

+

y

=

10

substituting

x

with

4

we get:

4

+

y

=

10

Subtract

4

from both sides.

y

=

6

Answer: The smaller number is 12.

Step-by-step explanation:

Just took the test

Answer:

The answer is stan twice

Step-by-step explanation:

simple

Answer:

x=10

Step-by-step explanation:

Answer:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

Here, k is the constant of proportionality.

From the table, taking the first two points to determine the constant of proportionality.

Yards                Feet

1/2                       1.5

1/3                        1

Using the equation

substituting y = 1.5 and x = 1/2

y = kx

k = y/x

k = (1.5) / (1/2)

k = 1.5 / 0.5

k = 3

also substituting  y = 1 and x = 1/3

k = y/x

k = 1 / (1/3)

k = 3

As the constant of proportionality is the same.

Determining Blank 1

Yards = x = 2 1/3 = 7/3

y = blank 1 = Feet ?

k = 3

Using the equation

y = kx

blank 1 = Feet = y = 3 (7/3)

blank 1 = Feet = y = 7

In other words,

When Yards = 2 1/3, then Feet = 7

Determining Blank 2

Feet = y = 3

Blank 2 = x = yards ?

k = 3

Using the equation

y = kx

Blank 2 = x = yards =  y/k    

Blank 2  = x = yards = 3/3

Blank 2 = x = yards = 1

In other words,

When Yards = 1, then Feet = 3

Determining Blank 3

yards = x = 2

Blank 3 = y = Feet ?

k = 3

Using the equation

y = kx

y = Blank 3 = Feet = 3(2)

y = Blank 3 = Feet = 6

In other words,

When Yards = 2, then Feet = 6

Determining Blank 4

Feet = y = 4.5

Blank 4 = x = Yards ?

k = 3

Using the equation

y = kx

x = Blank 4 = y/k

x = Blank 4 = 4.5/3

x = Blank 4 = 1.5

In other words,

When Yards = 1.5, then Feet = 4.5

Summary:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Answer:

no

\

Step-by-step explanation:

Answer:

A. Cube root

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

A = 3.14(8^2)

3.14 * 8 * 8

3.14 * 64

200.96

Answer:

if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.

Step-by-step explanation:

Answer:

16 months for it to grow 8 inches

Answer:

16

Step-by-step explanation:

growth in 1 month = 1/2 inches

growth in x months = x*1/2 inches

total growth = 8 inches

thus,

8 = x*1/2

x = 8 / (1/2)

  = 16

Answer:

(2, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

r = 4s

r = 1/2s + 7

Step 2: Solve for s

Substitution

Step 3: Solve for r

Answer:

s = 2

r = 8

Step-by-step explanation:

subsitution is were you plug in a systerm into the other problem

since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)

so now you have 4s = 1/2s+7

now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7

now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2

s = 2

now we have s we take that and plug it into r = 4s

subsitute S as 2  --> r = 4(2)

r = 8

Answer:

B- (-5, -6)

Step-by-step explanation:

By looking on the graph, if you were to reflect this point across the x-axis if will fall under point (-5, -6)

I hope this helps! If not I'm so sorry! Have a lovely day.

Answer:

Step-by-step explanation:

(x, y) ----> (- x, y)

J(4, 1) ------> J' (- 4, 1)

K(1, 0) -----> K' (- 1, 0)

L(2, - 4) ----> L' (- 2, - 4)

Answer:

B, C, D

Step-by-step explanation:

The following picture below proves that option b, c, and d are the correct pairs that satisfy the function y=7x+5.

Hope this helps! :)

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

Answer:

x is equal to or greater than 3

Step-by-step explanation:

7x + 8 => 29

7x => 21

x => 3

Answer:

67.938 =

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Step-by-step explanation:

Here, we want to write the given number in expanded form

Mathematically that will be ;

60 + 7 + 0.9 + 0.03 + 0.008

Using the power of 10, that will be;

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Answer:

third option both cost the same after 2 months

Answer:

40

Steps:

6x100/15

Answer:

the answer is 62

Step-by-step explanation:

57+(-4)+9

53+9=62

Answer:

X = 12/60%

60% = 0.6

X = 12/0.6

X = 20.

For the second one, multiply 350 by 0.02, which is just 2% in decimal form.

350*0.02 =7

That's 7 eggs.

Hope this helps!

Answer:

-0.00006707946

Step-by-step explanation:

I just looked up the equation and this came up on a calculator. Next time just look it up on google. :) Have a nice night

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

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Answer:

the answer should 60°

Step-by-step explanation:

if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement

Answer:

We conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.

Step-by-step explanation:

We know that A function is a certain relationship is defined as having only one corresponding y-value for each x-value.

Considering the function

Here,

Considering the table

x                      y

1                      2

2                     3

3                     4

4                     5

The values in the table satisfy the function y = x+1.

It is clear from the table that the function has only one corresponding y-value for each x-value. In other words, there is no repetition of 'x' value.

Therefore, we conclude that a function is defined as having only one corresponding y-value for each x-value.

Hence, option (C) is true.

Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer:

I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.

Step-by-step explanation:

[tex]8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13[/tex]

[tex] \: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4[/tex]

The rate of change from 2015 to 2017 is -$250 per year.

Given that,

According to the scenario, computation of the given data are as follows,

Total change = $300 - $800

= -$500

Total years from 2015 to 2017 = 2 years

So rate of change = -$500 [tex]\div[/tex] 2

= - $250

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Answer:

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