suppose that the candy machine holds exactly 650 skittles, and every time someone inserts a quarter, exactly 7 skittles come out of the machine.
a. how many skittles will be left in the machine after 20 quarters have been inserted?
b.

9514 1404 393

Answer:

  4.82 m

Step-by-step explanation:

The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.

  height/mirror distance = T/12.15 = 1.35/3.4

Multiplying by 12.15, we find the top of the goalpost to have a height of ...

  T = 12.15(1.35/3.4) ≈ 4.82 . . . meters

The goalpost is about 4.82 meters high.

Answer:

Step-by-step explanation:

5x + 2 - 3x - 1 = 3x + 2

5x - 3x - 3x = - 2 + 1 + 2

5x - 6x = 1

-1x = 1

x = 1 / -1

x = -1

Answer:

42 sweets

Step-by-step explanation:

The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )

June gets 42 more sweets than Alex , then

5x = 2x + 42 ( subtract 2x from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Gavyn = 3x = 3 × 14 = 42 sweets

Answer:

42 sweets.

Step-by-step explanation:

First work out the number of parts:

5 + 3 + 2 = 10.

So June gets 5/10 = 1/2 of the sweets.

Alex gets 2/10 = 1/5.

Gavyn gets 3/10.

If the total number of sweets was x, then:

1/2 x - 1/5 x = 42

5/10x - 2/10 x = 42

3/10 x = 42

x = 42*10/3 = 140.

So Gavyn has 3/10 * 140 = 42.

9514 1404 393

Answer:

  $1.50 per pint

Step-by-step explanation:

1 pint = 2 cups, so the cost of it is ...

  x/(2 cups) = $12/(16 cups)

  x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups

The price per pint is $1.50.

Answer:

35%

Step-by-step explanation:

100% - 65% = 35%

Hope this helps!

Answer:

35%

Step-by-step explanation:

65% of 40 is 29.25

40-29.25=15.75

15.75 over 45 × 100 = 0.35

0.35 is also written as 35%

This is just a longer method if it requires more steps:)

Answer:

  s = ∛V

Step-by-step explanation:

The relationship between edge length (s) and volume (V) of cube is ...

  V = s³

Taking the cube root of both sides of this equation gives you an expression for the edge length:

  s = ∛V

_____

Additional comment

The units of s will be the cube root of the units of V. If V is in cubic inches, then s is in inches.

Answer:

31, the five halves of is 6.2

Step-by-step explanation:

Answer:

Hundred thousands - 7

Ten Thousands- 4

Step-by-step explanation:

Answer:

[tex]f(-9)=\frac{131}{2}[/tex]

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

[tex]f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}[/tex]

Answer:

it is 793

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: Depends on what x equals.

Answer:

14

Step-by-step explanation:

Range means the difference between the highest and lowest values in a set.

According to this question,

31, 29, 33, 37, 43, 38, 33, 40

Highest value = 43

Lowest value = 29

Now lets find the range of this data set.

Range =  43 - 29

           =  14

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

k=0.023

Step-by-step explanation:

[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]

The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, the variable r is directly proportional to the square of t

Now, r∝t

r=kt

Here, r =144 when t =72

Thus, 144=k×72

k=2

Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ2

Answer:

-17 degrees F

Step-by-step explanation:

Assuming that the temperature in the chart is the temperature before noon, all we need to do to find the temperature at noon is to add 16 degrees Fahrenheit to the table value (since "risen by 16 degrees F" means to increase by 16 degrees, aka to add 16 degrees).

So,

-33 + 16 = -17

answer...

Step-by-step explanation:

Step 1: switch sides and add up.

[tex] z + 1 - x = 0[/tex]

Step 2: switch sides for z is alone

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

Note: I used the blank space as x.

Answer:

B

Step-by-step explanation:

hope it helps, and im finding another question

Answer:

B. a German citizen

Step-by-step explanation:

I think I'm not sure.

Answer:

x>2

Step-by-step explanation:

1) 6x+3 > 15

2) 6x > 15-3

3) 6x > 12

4) x > 12÷6

5) x > 2

Answer:

1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

1000

Step-by-step explanation:

10³

=10×10×10

1000

Answer:

1/8

Step-by-step explanation:

Answer is A :) just simply divide 35 and 7 and you get 5!

answer .

5

explanation.

simple just 35 divide by 7

Answer:

3,168 cal= 2lbs of Ice Cream

Step-by-step explanation:

I need to fin how many calories are in two pounds of that ceratin ice cream.

594cal/6=99cal

99cal=1 oz

16oz x 2 = 32oz

99 x 32 = 3,168 cal

There is 3,168 cal in two pounds of ceratin ice cream.

[tex]{\huge{\boxed{\mathbb{QUESTION}}[/tex]

[tex]\begin{bmatrix}5x-5y=-15\\ 3x-2y=-7\end{bmatrix}[/tex]

[tex]substitute\:x\:for\:-3+y[/tex]

[tex]\begin{bmatrix}3\left(-3+y\right)-2y=-7\end{bmatrix}[/tex]

[tex]{\huge{\boxed{\mathbb{SIMPLIFY}}[/tex]

[tex]\begin{bmatrix}-9+y=-7\end{bmatrix}[/tex]

add 9 to both sides

[tex]y=2[/tex]

Remember [tex]x=-3+y[/tex]

instead of [tex]y[/tex] we will put [tex]2[/tex]

[tex]x=-3+2\\x=-1[/tex]

[tex]{\huge{\boxed{\mathbb{ANSWER}}[/tex]

Answer:

( - 1 , 2 )

Step-by-step explanation:

5x - 5y = - 15

3x - 2y = - 7

[tex]\left \{ {{5x-5y=-15} \atop {3x-2y=-7}} \right.[/tex]  ⇔  [tex]\left \{ {{x-y=-3} \atop {3x-2y=-7}} \right.[/tex]  ⇔  [tex]\left \{ {{-3x+3y=9} \atop {3x-2y=-7}} \right.[/tex]

(1) + (2)

y = 2  ------->  (1)

x = - 1

( - 1 , 2 )

Answer:

Girls are   4/5 of the students.

Step-by-step explanation:

boys + girls = 100% of students.

If 20% of the students are boys then 80% are girls

80% = 80/100 =  4/5

Answer:

first I need to know what your question is to be able to answer this question sorry

Answer:

Ummm what is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 divided by two

Step-by-step explanation:

100% = 730

1% = 100%/100 = 730/100 = 7.3

30% = 1% × 30 = 7.3 × 30 = 219

so, they finished 219 of their 730 orders.

that leaves 730 - 219 = 511 orders still to be finished.

Answer:

I would assume it is c. 1, because of rounding, but I'm only 70% sure.

Answer:

35

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3x+15+4x-5=180

7x+10=180

7x=170

x=10