John makes and sells cookies. He made a profit of 58 dollars last week. The next week he decided to donate cookies to a local charity. His profit (earnings) for that week is represented by -27 since he didn't earn any money. Write a subtraction and addition expression to represent John's profit for the two weeks combined.

Answer:

1. rate = 171.6 feet/second

2. 1716 feet

Step-by-step explanation:

1. To convert from miles per hour to feet per second,

1 mile = 5280 feet

  117 miles = 617760 feet

  1 hour = 3600 seconds

Thus the rate in feet per second will be;

    = [tex]\frac{617760}{3600}[/tex]

    =  171.6 feet/second

2. In 10 second of free fall,

       speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

              = 171.6 feet/second x 10 second

              = 1716 feet

The parachutist would fall 1716 feet in 10 seconds of free fall.

[tex]2 \frac{2}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

First, let's turn the first fraction into an improper fraction.

[tex]\frac{16}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

Answer:

a) 2x² - 32 = 2(x-4)(x+4)

e) 3x² - 75 y² = 3(x-5y)(x+5y)

i) (x+5)² - 16 = (x+1)(x+9)

j) (x-4)² - 9 = (x-7)(x-1)

m) (3x+5)² - x² = (2x+5)(4x+5)

Step-by-step explanation:

Basically first you expand the expression into terms and then you refactor again.

Answer:

45+n = 9 (8n+5)-3n

or, 45+n = 72n+45-3n

or, 45-45=72n-4n

or, 68n=0

or, n=0

Answer:

The number of cheese pizza sold is 200 cheese pizzas

The number of sausage pizza sold is 80 sausage pizzas

The number of pepperoni pizza sold is 120 pepperoni pizzas

Step-by-step explanation:

The price at which the pepperoni  pizza was sold is $14

The price at which the sausage pizza was sold is $11

price at which the cheese pizza was sold is $10

The total number of pizzas sold = 400

The total amount made = $4560

The number of cheese pizza sold = 80 + the number of pepperoni pizzas

Let the number of cheese pizza sold = C

The number of sausage pizza sold = S

The number of pepperoni pizza sold = P

We have;

C + S + P = 400..........................(1)

C = 80 + P...................................(2)

10·C + 11·S + 14·P = $4560.......(3)

Substituting the value for C from equation (2) in equation (1), we get;

C + S + P = 400 = 80 + P + S + P = 400

2·P + S = 400 - 80 = 320

∴ S = 320 - 2·P..........................(4)

Substituting the value for C from equation (2) and the value for S from equation (4) into equation (3), we get;

10·C + 11·S + 14·P = $4560

10·(80 + P) + 11·(320 - 2·P) + 14·P = 4560

800 + 10·P + 3,520 - 22·P + 14·P = 4560

4,320 + 2·P =  4560

2·P =  4560 - 4,320 = 240

P = 240/2 = 120

P = 120

C = 80 + P = 80 + 120 = 200

C = 200

S = 320 - 2·P = 320 - 2×120 = 320 - 240 = 80

S = 80

Therefore;

The number of cheese pizza sold = C = 200

The number of sausage pizza sold = S = 80

The number of pepperoni pizza sold = P = 120.

Answer:

Assuming that m does not = 0, then the function has a non horizontal slope, so the value will increase as the position moves away from zero in either the negative or positive direction depending on whether the slope (m) is negative or positive. The furthest that the position can be from 0 is at one of the endpoints of the interval [3, 7), therefore, the maximum value of the function on the same interval must be at one of the endpoints.

Answer:

>3 means any number on the number line larger than 3, so the answer is yes

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(-x+4)=12[/tex]

First, divide both sides by 4. The left side will cancel. The right will reduce to 3:

[tex](4(-x+4))/4=(12)/4\\-x+4=3[/tex]

Subtract 4 from both sides. The left cancels:

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

Divide both sides by -1:

[tex]x=1[/tex]

So, the value of x is 1.

And we're done!

Answer:

x = 1

Step-by-step explanation:

4(-x + 4)= 12

Step 1 : Distribute

-4x + 16 = 12

Subtract 16 from both sides

-4x = -4

Divide

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

x = 1

[tex]\frac{20.8}{9}[/tex]

Set [tex]x[/tex] to 2.31 with 1 repeating.

[tex]x=2.31...[/tex]

Now multiply the value by 10 so we can have canceling values.

[tex]10x=23.1...[/tex]

Then we can use elimination.

[tex]10x=23.1...[/tex]

[tex]x=2.31...[/tex]

[tex]9x=20.8[/tex]

[tex]x=\frac{20.8}{9}[/tex]

Hope this helps.

頑張って!

Answer:

Set  to 2.31 with 1 repeating.  

Now multiply the value by 10 so we can have canceling values.

Then we can use elimination.

Hope this helps.

Step-by-step explanation:

The height of the flagpole is: 12 ft.

A theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Let the height of the flagpole be: x ft.

Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet

and one of the leg of the right triangle is: 16 feet

Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.

[tex]20^2=x^2+16^2\\\\\\400=x^2+256\\\\\\x^2=400-256\\\\\\x^2=144\\\\\\x=\pm12[/tex]

i.e.

But the height can't be negative.

Hence, we get: x=12

To know more about Pythagorus theorem follow

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Answer:

18

Step-by-step explanation:

Answer: OPTION B

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)= √-1 ⇔ In real number world, √-1 will be undefined,  

                                               and thus this is called imaginary number

------------------------------------------------------------------

√-2=√2 × √-1

√-2=√2× √-1

√-2=√2 × i

√-2= √2 i

---------------------------------------

√-18=√9 × √2 × √-1

√-18= √9 × √2 × √-1

√-18= 3 × √2 × i

√-18= 3√2 i

----------------------------------------

Addition in radical numbers is as usual as normal number. HOWEVER, only numbers that has the same radical (i.e 2√3 and 7√3) can combine.

 √-2 + √-18

=√2 i + 3√2 i

=4√2 i

Hope this helps!! :)

Please let me know if you have any question

Answer:

X=-3/2

Step-by-step explanation:

1/4+1/2+X=-3/4

X=-3/4-1/4-1/2

X=-3/2

14 mph

Step-by-step explanation:

13.636364

is what you get by doing

100/15 then you get 6.6666......7

after that you multiply that by 3600 because thats how many seconds in that hour.

Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph

PLEASE MARK MY ANSWER BRAINLIEST

Answer:

A because 63/4 is 15.75

Answer:

2f

3f

−f+4g

3g

2g

−2f−4g

Step-by-step explanation:

Hope this helps!

Answer:

25pi

Step-by-step explanation:

To solve this, create a right triangle between the two points. We know the distance of one leg is 6, and the distance of the other leg is 8. Use the Pythagorean theorem to solve for the diameter. You substitute 6 and 8 into the values of A and B. Once you get this, you get (6^2)+(8^2)=c^2. Once you further simplify this, you get 36 + 64 = c^2, which is 100 = c^2. Take the square roots of both sides to get the diameter as 10. Divide the diameter by 2 to get the radius. Square the radius and multiply it by pi to get the area. Doing this will get the result of 25 pi.

Answer:

Hey there!

The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.

The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.

Let me know if this helps :)

The x-intercept is (6,0) and y-intercept is (0,14).

x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".

What is y-intercept?

y-intercept  for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".

According to the question,

3.5x + 1.5y =21

Let 'x' is the number of adults and 'y' is the number of children.

To find  x-intercept put y=0.

3.5x + 1.5(0) = 21

             3.5x = 21

                  x = 21/3.5 =6.

To find y-intercept put x=0

3.5(0) + 1.5(y) = 21  

                  y = 21/1.5 = 14.

x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.

Hence, The x-intercept is (6,0) and y-intercept is (0,14).

Learn more about x-intercept here

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Answer:

140

Step-by-step explanation:7 ft per minute; there are 60 minutes in an hour therefore 7 x 60 = 420ft in hour

there are 3 feet in yard, 420 feet divided by 3 = 240

Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

You can only factor out the 2x the other part is not factorable.

Answer:

1325

Step-by-step explanation:

53 x 25 is 1325

Not sure how it can be simplified more.

101 and 104 i think is the most easy answer

Answer:

101, 103

Step-by-step explanation:

Say n is the first odd integer. The sum of n and its consecutive integer can be written as n + (n + 2). Doing some simple algebra:

n + (n+2) =204

2n + 2 = 204

2n = 202

n = 101

n is 101, and its consecutive integer, (n+2), is 103.

Answer:

It will be 25 cm.

Answer:

so whats the question

Step-by-step explanation:

Greetings from Brasil....

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Looking at the figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

Each length of the line segments GH = HI = IK and JK will be 5 and 9.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

GK = 24, HJ = 10, and GH = HI = IJ.

Then the length HI will be

HJ = HI + IJ

10 = HI + HI

2HI = 10

HI = 5

Then the length of the line segments GH, HI, and IJ will be

GH = HI = IJ = 5

The length of the JK will be

GK = GJ + JK

24 = 3GH + JK

24 = 3 * 5 + JK

JK = 24 - 15

JK = 9

Then each length of the line segments GH = HI = IK and JK will be 5 and 9.

More about the line segment link is given below.

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Answer:

1/4x + -1/2

Step-by-step explanation:

Step 1 :

-4x - 3 = -16j -5

Step 2:

-16j − 5=−4x+3

Step 3:

−16j−5+5=−4x+3+5

−16j=−4x+8

Step 3:

-16j/-16 = -4x + 8/-16

Answer:

j = 1/4x + -1/2

Answer:

the number which produces a given number when cubed

Answer:

the answer is -2

Step-by-step explanation:

3-(-1)

= -3--1

= -3+1

= -2

Answer:

500

Step-by-step explanation:

if one side is 125 cm on a square all the sides are equal so you should multiply 125x4 which gives you 500

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Perimeter = 500\ cm}}}}[/tex]

Step-by-step explanation:

Given that Length = 125 cm

So,

Perimeter = 4 ( 125 )

Perimeter = 500 cm