You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill.
How much change will you get back?

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Answer:Amount charged for downloading individual songs = x dollars

Amount charged for downloading an entire album = y dollars

In respect to person A:

6x + 2y = 25.92

3x + y = 12.96

y = 12.96 – 3x

In respect to person B:

4x + 3y = 33.93

Putting the value of y from the first equation in the second, we get

4x + 3(12.96 – 3x) = 33.93

4x + 38.88 – 9x = 33.93

– 5x = – 4.95

x = 0.99 dollars

Putting the value of x in the first equation, we get

y = 12.96 – 3x

 = 12.96 – 2.97

 = 9.99 dollars

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

8 x 21 =168

Answer:

See Explanation

Step-by-step explanation:

An atom is the smallest particle of matter holding the basic properties and characterstic of the matter. An atom consist of positive charged protons and chargeless neutrons at its centre and the negatively charged electrons are revolving around the nucleus. An atom do consist of energy levels corresponding to which the electrons revolve around the nuclues in the respective energy level.

Now a photon is an energy packet, or we can say a particle of light carring energy with it.

An atom is a particle of a matter and a photon is a particle of light.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

run

Step-by-step explanation:

Answer: 2(3)

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Remember it says 13' below zero, and 121' is the highest temperature.

Answer:

The answer is C 121 and -13

Step-by-step explanation:

Answer:

Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.

Answer:

The better deal is 4 bagels for $3.00.

The fractions you would compare would be:

11 / 10 = 1.10 and

3 / 4 = 0.75

A "deal" would refer to the better value. In this case the better deal has a lower ratio of dollars to bagels.

Step-by-step explanation:

Which is the better deal?

First, you have to get the 10 and 4 to the same number.

10 x 4 = 40

4 x 10 = 40

Then, you multiply $11 by the same number as the 10.

Now multiply $3 by the same number as the 4.

$11 x 4 = $44

$3 x 10 = $30

So, which one has the lowest prize?

Donny's Bagels

What fractions do you compare with the better deal?

Bob's Bagels: 44/40

Donny's Bagels: 30/40

Now, you'll have to make these fractions as low as possible.

Bob's Bagels:

44 divided by 4 = 11

40 divided by 4 = 10

Donny's Bagels:

30 divided by 5 = 6

40 divided by 5 = 8

The fractions are: 11/10 and 6/8. But, 11/10 is an improper fraction.

To make it a mixed number, you'll have to follow these steps:

Bob's Bagels fraction: 1 1/10

Will the better deal have a lower or higher ratio of dollars per bagel?

The better deal will have a lower ratio of dollars per bagel.

Check the picture below, there are two cases, case of option B and case of option C for Lorelei, we are looking at only the two smaller sides.

on option B

we have sides of 12 and 13, now, if we move the sides closer and closer to be one on top of the other, what is left is just one unit of slack, because the side of 12 laying right on top of the side of 13, is short by 1 unit to be 13, however if we do that, we no longer have a triangle, just two pancaked lines, so whatever the 3rd side may be, it must be greater than 1 unit.

now, if we instead move the sides away from each other, to the extent that sides 12 and 13 make a flat line, well, a flat line will be as long as 12 + 13 = 25, however, we can't do that becuause, again if we do so, all we have is a flat-line, and no longer a triangle, so, whatever the 3rd side may be, it must be less than 25 units.

well, on option B, we have a 3rd side given as 25, but we can't use that, because we'd be losing our triangle, we'd only be left with a flat line, so no dice on B.

on option C

as you see in the picture, same thing, pancake one side on top of the other and there's no slack, so the 3rd side must be greater than 0.

now move the sides away from each other and their sum gives 10 + 10 = 20, so the 3rd side must be less than 20.

we're given a 3rd side of 24, how the dickens are we going to get a side to be 24 when both sides of 10 extended only give 20? not going to happen, so no dice on C.

needeless to say the sides of 12, and 14 provide for a 3rd side of greater than 2 and less than 26, well, 24 is indeed within that range.

Answer:

Your answer will be -37/9

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Thank you

Answer: - 37/9

Step-by-step explanation: It is basically asking to change the mixed fraction to an improper fraction.

Answer:

10 3/4

Step-by-step explanation:

\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)

Answer:

I believe the answer it 0.1875

Multiply both sides of the equation by 4.

Subtract 24 from both sides.

Subtract 24 from 32 to get 8.

Answer:

p = 8

Step-by-step explanation:

p/4 + 6 - 6 = 8 -6

6-6 cancels out as 0.

8-6=2

p/4 = 2

p/4 * 4= 2*4

/4 * 4 cancels out as 0

2 * 4 = 8

So, p = 8

Answer:

D. 135°

Step-by-step explanation:

∡4 = ∡8 = 45°

Then

∡7 = (180-45)° = 135°

Hope this helps

When we're solving with scale factors, we either divide or multiply.

If the shape becomes larger, we multiply to get the new length.

If the shape becomes smaller, we divide to get the new length.

We're given:

Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.

2.5 x 6 = 15

Therefore, the missing side length is 15 units.

15 units

Answer:

6

Step-by-step explanation:

Answer:

1. \(-\frac{2}{3}\)

2. \(y-7=-\frac{2}{3}*(x+6)\)

3. \(y=-\frac{2}{3}x+3\)

4. 2x+3y=9

5. \(x=\frac{9}{2} -\frac{3y}{2}\)

6. \(y=3-\frac{2x}{3}\)

Step-by-step explanation:

Hope this helps, took a lot of time!

Answer:

5h + 9

Step-by-step explanation:

Let's simplify step-by-step.

10h+6−5h+3

=10h+6+−5h+3

Combine Like Terms:

=10h+6+−5h+3

=(10h+−5h)+(6+3)

=5h+9

Answer:

=5h+9

Hope this helps!!! :)

Answer:

About 79.2%

Step-by-step explanation:

1,067/1,348= 0.7915

in order to get a percent you move the decimal point to the right 2

therefore it equals  79.15% (which you can round to 79.2%)

is you want a whole number it would be About 79%

Answer: the answer to this question is part B

well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus

\(\left( \cfrac{3}{2}x+20 \right)+2x=90\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3}{2}x+20 + 2x \right)=2(90)} \\\\\\ 3x+40+4x=180\implies 7x+40=180\implies 7x=140\implies x=\cfrac{140}{7} \\\\\\ x = 20~\hfill \stackrel{\measuredangle CAD}{\cfrac{3}{2}20+20\implies 50}\qquad\qquad \stackrel{\measuredangle DAE}{2(20)\implies 40}\)

Answer:\(\frac{1}{3} ((\frac{9}{4})(12))-2\)

Step-by-step explanation:

The formula to convert numbers from box 1 to box 3 is (c) 3(m + 2)

Represent the numbers in box 1 with m.

The numbers in box 2 are three times the numbers in box 1.

So, the formula to convert numbers in box 1 to box 2 can be represented as:

\(f(m) =3m\)

The numbers in box 3 are 6 more than the numbers in box 2.

So, the formula to convert numbers in box 2 to box 3 can be represented as:

\(g(m) =f(m) + 6\)

Substitute 3m for f(m)

\(g(m) =3m + 6\)

Factor out 3

\(g(m) =3(m + 2)\)

Hence, the formula to convert numbers from box 1 to box 3 is (c) 3(m + 2)

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