Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation y=-4x^2+80x-150 models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.

Answer:144

Step-by-step explanation:

36 x 4 = 144

48 × 3 = 144

Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x+40-180=3x+112-180

7x-3x=112-40

4x=72

x=18

A=7*18+40=126

B=21+112=133

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3y−6)=−3(8−4y)

(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)

12y+−24=−24+12y

12y−24=12y−24

Step 2: Subtract 12y from both sides.

12y−24−12y=12y−24−12y

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

Answer:

All real numbers

Step-by-step explanation:

So we have the equation:

[tex]4(3y-6)=-3(8-4y)[/tex]

First, distribute the left side:

[tex]12y-24=-3(8-4y)[/tex]

Now, distribute the right:

[tex]12y-24=-24+12y[/tex]

Subtract 12y from both sides. Both sides cancel:

[tex]-24=-24[/tex]

This statement is true.

In other words, our solution is all real numbers.

And we're done!

Answer:

D. 66

Step-by-step explanation:

20% of 55 is 11

11 + 55 = 66

Answer:

A.11

Step-by-step explanation:

so 55 * 0.2 = 11

20% = 2/10

Answer:

6

Step-by-step explanation:

Answer:

the equation that passes through this is y= -7x-22

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,6) and has a slope of -7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -7. So you can right away fill in the equation for a line somewhat to read:

y=-7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,6). When x of the line is -4, y of the line must be 6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (-4,6).

So, why not plug in for x the number -4 and for y the number 6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,6). y=mx+b or 6=-7 × -4+b, or solving for b: b=6-(-7)(-4). b=-22.

Answer: each pair of pants costed 15 $

Step-by-step explanation:

35+10 = 45/3 = 15

Answer: $15 each

Step-by-step explanation: add 35 + 10 = 45, then divide 45 ÷ 3 = 15

The wooden board is 24 times the length of Crayon which is represented by Figure C.

We have,

A crayon is 4 inches long.

A wooden board is 8 feet long.

We know that

1 feet = 12 inch

So, 8 feet = 12 x 8 = 96 inches

Now, the factor between Caron and wooden block

= 96 / 4

= 24

Thus, the wooden board is 24 times the length of Crayon which is represented by Figure C.

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Answer:

B

Step-by-step explanation:

because it is (5,15) and B is (5,15)

Answer six seven and eight

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Given the function f(x) = 3x+4. To find f(-2), we will substitute x = -2 into the given function as shown;

F(-2) = 3(-2)+4

F(-2) = -6+4

F(-2) = -2

Hence the value of f(-2) is -2

Answer:

0.79 or 0.80 I am pretty sure

Answer:

p = -7

a = 10

Step-by-step explanation:

Question 1:

Step 1: Write out equation

-22 = 12p - 2(5p + 4)

Step 2: Distribute

-22 = 12p - 10p - 8

Step 3: Combine like terms (p)

-22 = 2p - 8

Step 4: Add 8 to both sides

-14 = 2p

Step 5: Divide both sides by 2

-7 = p

Step 6: Rewrite

p = -7

Question 2:

Step 1: Write out equation

11a - (4a - 7) = 77

Step 2: Distribute

11a - 4a + 7 = 77

Step 3: Combine like terms (a)

7a + 7 = 77

Step 4: Subtract 7 on both sides

7a = 70

Step 5: Divide both sides by 7

a = 10

Answer:

Measure of Central Angle/360:

1/4

1/2

3/4

1/4

1/2

3/4

Visually, how much of the circle is covered by the sector?

one-fourth

one-half

three-fourths

one-fourth

one-half  

three-fourths  

Step-by-step explanation: Plato Answer

Plato exsample :) good luck

Answer:

A 5,2

Step-by-step explanation:

Answer:

6x2+8x+2

this is the answer

Answer:

multiply

Step-by-step explanation:

i know this from 3rd grade

Answer:using division method

Step-by-step explanation:

Example is the square root of 144

144 divided by the less prime number till 144 can not be divided again

144÷2=72

72÷2=36

36÷2=18

18÷2=9

9÷3=3

3÷3=1

Then you group the prime numbers used

(2×2)×(2×2)×(3×3)

Then take one of the prime numbers form each group

2×2×3=12

Answer:

2

Step-by-step explanation:

-3+5= 2

Answer:

2

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

Given

5x + [tex]\frac{1}{3}[/tex](3x + 6) > 14 ← distribute and simplify left side

5x + x + 2 > 14

6x + 2 > 14 ( subtract 2 from both sides )

6x > 12 ( divide both sides by 6 )

x > 2

Answer: x > 2  

Step-by-step explanation:

5x + 1/3(3x +6) > 14     Distribute

5x + 1x + 2 > 14     Combine like terms on the left side

  6x + 2 > 14      Subtract 2 from both sides

         -2    -2

   6x > 12      Divde both sides by 6

 x > 2

Answer:

Length: 10 cm

Width: 5 cm

Step-by-step explanation:

The required length and width of the scale drawing are given a length will be 10 cm and the width will be 5 cm.

Given that,
A swimming pool of rectangle shape that measures 50 meters in length and 25 meters in width. To make a scale drawing of an Olympic-size swimming pool where 1 centimeter represents 5 meters.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Given scale: 1 cm = 5 m
So, for 1 m = 1/5 cm
Now,
Length = 50 × 1/5  = 10 cm
Width = 25 × 1/5 = 5 cm

Thus, the required length and width of the scale drawing is given a length will be 10 cm and a width will be 5 cm.

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Answer:

5 people

Step-by-step explanation:

Regular- 2/3 times 24/1 gets you 16 people

Decaf- 1/8 times 24/1 gets you 3 people

16+3 is 19

24-19=5 people

The number of customers that ordered a specialty coffee is 5.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Total number of customers = 24

Customers having regular coffee = Two-thirds

⇒ Number of customers having regular coffee = 2/3 * 24 = 16

Customers that had decaf = one-eight

⇒ Number of customers having decaf = 1/8 * 24 = 3

Total number of customers having regular coffee and decaf = 16 + 3 = 19

Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf

⇒ Customers that ordered a specialty coffee = 24 - 19

⇒ Customers that ordered a specialty coffee = 5

Thus, the number of customers that ordered a specialty coffee is 5.

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Answer:

1/5, 3.3%, 0.352

Step-by-step explanation:

1/5 as a decimal is 0.2

the greatest is 0.352 because it has the highest number in the tenths place.

that is why the answer is:

1/5, 3.3%, 0.352

Answer:0.352, 3.3%, 1/5

Step-by-step explanation:

0.352 is the smallest amount and 1/5 is obviously the biggest if you go from 100, 1/5 would be 20 and 3.3% would be 3.3 and then .352 would be last not even equaling 1.

Answer:

13x+4+12y

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

We can add both sides by 7:

4.5x = 20 + 7 = 27.

Then, we can divide both sides by 4.5, getting x = 27 / 4.5 = 6.

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]-x+1=x+21[/tex]

Subtract 1 from both sides:

[tex]-x+1-1=x+21-1\\-x=x+20[/tex]

Subtract x from both sides:

[tex]-x-x=x+20-x\\-2x=20[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{20}{-2}\\x=-10[/tex]

Answer:

least:  sqrt( 9/5)

                5/3

             sqrt(5)

greatest: 2.5

Step-by-step explanation:

The least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know,

The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

Thus, the least to greatest order is √9/4, 5/3, √5, and 2.5 after simplification the numbers.

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