Robert baked 6 pies to donate to a charity dinner before he ran out of sugar. With each additional cup of sugar he buys, he can bake 1 more pie.

Write an equation that shows how the total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x.

Y=

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any (non-zero) number divided by itself is 1.

_____

This is a fact that has many uses in problem solving and units conversion.

Answer:

  (-1, 4)

Step-by-step explanation:

Rotation 180° negates both coordinates:

  (x, y) ⇒ (-x, -y)

The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).

  (1, -4) ⇒ (-1, 4) . . . . after rotation 180°

Answer:

(1/2, 1/4)

Step-by-step explanation:

This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:

0 = c

0 = a + b

-20 = 25a + 5b

After rearranging and solving, we get:

b = -a

-20 = 20a

a = -1

b = 1

y = -x^2 + x

Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).

m = 180 - CBE = 180 - [ 360 - BDC - BED - (180 - DCE - DEC)]  = 180 - [ 360 - 90 -90 - (180 - 13*2)] = 154

P/s: 180 - DCE - DEC = CDE

ok done. Thank to me :>

Answer:

40 pizzas in total

Step-by-step explanation:

10×4=40

Step-by-step explanation:

cheese : pepperoni : sausage : mushroom =

10 : 7 : 5 : 8

so, in total there are 10+7+5+8 = 30 "business pieces".

to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?

we get this from the 35 orders of pepperoni pizzas.

these 35 orders represent 7 "business pieces".

that means 1 "business piece" = 35/7 = 5 pizzas.

that means that 30 "business pieces" are 5×30 = 150

so, in total, 150 pizzas were ordered.

A system of equations is simply a system that contains related equations of multiply variables

It took 5 seconds for the adults to go 20 yards and catch up to the kids

Let x represents the time of the race

The kids started 15 yards ahead, and they raced at 1 yard per second.

So, the kids' equation is represented as: [tex]\mathbf{k =15 + x}[/tex]

The adults' raced at 4 yards per second.

So, the adults' equation is represented as: [tex]\mathbf{a =4x }[/tex]

When they are side by side, we have the following equivalent equation

[tex]\mathbf{4x = 15 + x}[/tex]

Subtract x from both sides

[tex]\mathbf{3x = 15}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 5}[/tex]

It means that, it took the adults 5 seconds to catch up with the kids

Substitute 5 for x in any of the equations to calculate the distance travelled.

[tex]\mathbf{a =4 \times 5}[/tex]

[tex]\mathbf{a =20}[/tex]

It means that, the adults catch up with the kids at 20 yards

Read more about systems of equations at:

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Answer:

The adults went 123 yards and caught up to the kids in 41 seconds

Step-by-step explanation:

ixl :)

Answer:

136 inches or 354.44cm

Step-by-step explanation:

17*8 = 136

Answer:

136 inches

Step-by-step explanation:

17 X 8 = 136 inches

Answer:

1.98 I think sorry if it's wrong

Answer:

d

Step-by-step explanation:

Answer:

The total compound interest is $37,147.24.

Step-by-step explanation:

I could be wrong

Answer:

x=-16

y=-11

Explanation:

2x-4y=12

x-3y=17

first multiply all the numbers of the bottom equation by -2

2x-4y=12

-2x+6y=-34

then cancel the x's, and add the other numbers

2y=-22

solve for y

y=-11

plug y into either the original top or bottom equations

2x-4(-11)=12

2x+44=12

2x=-32

x=-16

or

x-3(-11)=17

x+33=17

x=-16

Answer:

-2

Step-by-step explanation:

-4x-2x ≤ 17-5

-6x ≤ 12 | /(-6)

x ≥ -2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Scientific notation for above value is ~

[tex]Hello[/tex] [tex]There![/tex]

First, let's make sure our coefficient is between 1 and 10:

4.75

All numbers in scientific notation look like this:

___x10^- (some number)

4.75x10^

Now, the number is large, so the exponent is positive.

So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:

4.75x10^10

Hope this helps!

~Just a felicitous girlie

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

Where is it?

Step-by-step explanation:

Step-by-step explanation:

Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).

The order of the cities from least population to greatest population:

Harrisburg

Glenview

Liberty Crossing

Given the information provided:

Harrisburg: This city has a population of 47 people. It's the smallest population among the three cities.

Glenview: The population of Glenview is 43 times the population of Harrisburg.

Since Harrisburg has 47 people, the population of Glenview would be 43 x 47 = 2021 people.

So, Glenview has a larger population than Harrisburg but is still smaller than Liberty Crossing.

Liberty Crossing: The population of Liberty Crossing is given as 49 people, which is the largest population among the three cities.

So, the correct order from least population to greatest population is:

Harrisburg

Glenview

Liberty Crossing

Learn more about Ascending order click;

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Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Answer:

175000.(or around that number)

Step-by-step explanation:

half of 350,000 is 175000.

Answer

x Is less than 4

Step-by-step explanation:

It will be an open circle and the arrow is going the left direction on the number 4

Answer:

Yes, Kathy does  have enough juice.

Step-by-step explanation:

Kathy does have enough because quarts are a little bigger than liters, so the 3 quarts she has will cover the liters.

The answer to your question is in the image above.

The way you typed out this sentence was a bit confusing but I think you were saying...

For a weekly car rental, a car rental company charges customers a flat fee of $100 +  and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)

The equation would be

10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents

so they would be charging $1.50

Hoped this helped!

Have a great day/night! :)

Answer:

0.573

Hope that helps :)

Answer:

yes its correct

Step-by-step explanation:

but for the check where did you get the 12? you might want to redo that part but otherwise its right

Answer:

78 buttons left

Step-by-step explanation:

I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.

Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

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Answer:

line them up straight with the bottom number and the top number.

Answer:

x=120 y=60

Step-by-step explanation:

Interior angle of a hexagon = 120

Straight line = 180

180-120=60