A theater group sells tickets to a play. If an adult ticket costs $12.50 and a child ticket costs $8.75, then how much money will the group collect by selling 70 adult tickets and 15 child tickets?

Answer:

(x-8)(x+7) in which x = 8, -7 (if needed)

Step-by-step explanation:

Figure out first what two numbers can go to 56.  The possible combinations are 1 and 56, 2 and 28, 4 and 14, and 7 and 8.  The middle number has to equal the sum of -1.  Therefore, 7 and 8 will go to that sum with -8 as one and +7 as another.  Your factor should be (x - 8) (x + 7) and when you are finding for the x-values, it should be 8 and -7 when necessary.  

Answer:

x=112

Step-by-step explanation:

[tex]\frac{x}{7} =16[/tex]

x=16*7

x=112

Answer: x = 112

Step-by-step explanation: To solve this equation for x,

I would first change x ÷ 7 to x/7 to make it easier to visualize.

So we have [tex]\frac{x}{7} = 16[/tex].

Since x is being divided by 7, we multiply both sides by 7.

On the left, hat gives us x and on the right, 16 x 7 is 112.

So we have x = 112.

-3 (2.5 + k) + 0.5 (7 + 8k)

Apply distributive property.

-7.5 - 3k + 3.5 + 4k

Add like terms.

-4 + k

k - 4

k - 4 is your answer. I hope this helps you! Let me know if I got anything wrong.

Answer: if you are simplifying it the answer is k-4

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

42 ÷ 300 = 0.14 = 14%

or

subtract 42 from 300 which gives you 258

258 is 86% of 300

86-100 is 14 so 14%

Answer:

$9 per hour

Step-by-step explanation:

First, divide her total by 20 to find how much she got per night:

360/20

= 18

Then, divide this by 2 to find her hourly rate, since she worked 2 hours a night:

18/2

= 9

So, Gabby earned $9 per hour babysitting

Answer:  $9

Step-by-step explanation:

2 × 20 = 40         [total running time]

360 ÷ 40 = 9       [Gabby earns per hour babysitting]

Answer:

y=-4x-8

Step-by-step explanation:

use points (0,-8) and (-2,0) and plug into slope formula.

slope formula=(y2-y1)/(x2-x1)

(0-(-8))/(-2-0)=-4

you get y=4x+b

use point (-2,0) to find b

you get y=-4x-8

Answer:

y = -3x + 4

Step-by-step explanation:

y = -3x - 1

a parallel line is going to look identical to the previous equation except for the last number.

for example,

y = -3x + 10

and

y = -3x - 2

are both parallel lines

now, substitute y and x for the points of the coordinate given.

y = -3x - 1

-8 = -3*4 - 1

-8 = -12 - 1

this equation isn't true.

so change the last number to make it true

-8 = -12 + 4

-8 = -8

so, your new equation is

y = -3x + 4

Answer:

72.5

Step-by-step explanation:

70=-2.5x

+2.5 +2.5

x =72.5

Answer:

-28 for x

Step-by-step explanation:

the equation is supposed to be multiplied but you have to find x first so i think you have to divide 70 and -2.5 to find x then check your work by multiplying -2.5 and the answer which is -28 to get 70.

Answer:

Solving the equation [tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109[/tex] we get [tex]\mathbf{n=0.10582}[/tex]

Step-by-step explanation:

We need to find the value of n in the given equation

[tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109[/tex]

The equation can be simplified by using multiplication and division rules.

The first step is to solve brackets.

[tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109\\247.2 \times 30n=784.8[/tex]

Then, Divide both sides by 247.2

[tex]30n=\frac{784.8}{247.2}\\30n=3.1746[/tex]

Now, divide both sides by 30

[tex]n=\frac{3.1746}{30} \\n=0.10582[/tex]

We get the value of n: n=0.10582

So, solving the equation [tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109[/tex] we get [tex]\mathbf{n=0.10582}[/tex]

Answer:

-9.7 + 18.6

Step-by-step explanation:

Given the expression:

-9.7 - (-18,6)

The additive inverse of -18.6 is 18.6

The product of teo negative sign will also give a positive sign, hence:

-9.7 - (-18,6) = -9.7 + 18,6

-9.7 + 18,6 = 18.6 - 9.7

18.6 - 9.7 = 8.9

Hence the expression can also be written as -9.7 + 18.6 with 8.9 being the solution

Probability of choosing number less than 4 from number 1 to 10 is equals to [tex]\frac{3}{10}[/tex].

" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes }{Total number of outcomes}[/tex]

According to the question,

Given ,

Numbers from which Stacia randomly chooses a number = 1 to 10

                                                                                                 = { 1, 2, ..., 10}

Condition for choosing a number = less than 4

                                                        = {1, 2, 3}

Substitute the value in the formula of probability we get,

Probability of choosing a number less than 4 = [tex]\frac{3}{10}[/tex]

Hence, Option(C) is the correct answer.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

A) 5x + 4y = 120

3x + 5y = 98

B) To solve this, we must solve the equation.

5x + 4y = 120

3x + 5y = 98

STEP ONE:

Divide

x + 4/5y = 24

STEP TWO:

Substitute the variable

x = 24 - 4/5y

STEP THREE:

Substitute the value of the variable

3(24 - 4/5y) + 5y = 98

STEP FOUR:

Multiply

72 - 12/5y + 5y = 98

STEP FIVE:

Subtract 72 from both sides

-12/5y + 5y = 26

STEP SIX:

Add

Turn 5y into 25/5y

-12/5y + 25/5y = 26

13/5y = 26

2.6y = 26

STEP SIX:

Divide 2.6 from both sides

26/2.6 = 10

y = 10

Each Hip-Hop CD Costs $10

(We will save this for later, because the question asked about rock CDs.)

STEP SEVEN:

Find x

x = 24 - 4/5(10)

4/5 = 0.8

0.8(10) = 8

x = 24 - 8

x = 16

Therefore, each Rock CD costed $16.

C) We found this earlier, each Hip-Hop CD costs $10.

Sorry this was a little lengthy, but I hope this helped!

Answer:

57/514 is the correct answer

Step-by-step explanation:

Answer:

25m

Step-by-step explanation:

Answer:

Step-by-step explanation:

To obtain the strongest mix :

Maria:

2 cups of concentrate ; 5 cups of water

Ratio = 2/5 = 0.4 concentrate per 1 cup of water

Laurie:

3 cups of concentrate ; 7 cups of water

Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water

0.4285714 > 0.4

Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.

Answer:

A

Step-by-step explanation:

(4+5)7=9*7=63

Answer:

its A

Step-by-step explanation:

4 pages in the morning and u have 7 days in a week so you do 4x7=28

5 pages eveaning same thing 5x7=33

35+28=63 letter A  

Answer:

9

Step-by-step explanation:

The length of the paper , x, can be obtained using Pythagoras :

Width = 12 ; length = 15

x² = 15² - 12²

x² = 225 - 144

x² = 81

x = sqrt(81)

x = 9

Hence, length of the paper = 9 inches

Answer:

The answer is 4.6.

Step-by-step explanation:

If you look at the graph closely, you would see that the intersection is very close to 4, so the answer is 4.6.

Answer:

[tex] \huge\boxed{d. \: 18a {b}^{3} \: and \: 16 {a}^{3} b}[/tex]

is the unlike pair terms.

Answer: 3x square route of 3

Step-by-step explanation:

In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].

Since it is mentioned that sin B=0.5

And, AC = 3x

So AB be like [tex]3x^3[/tex]

hence, In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].

Learn more about triangle here: https://brainly.com/question/24891826

Answer:

4.5

Step-by-step explanation:

4.5

[tex]\sqrt{20}[/tex] = 4.47213595

To round to the nearest tenth is where the 4 is after the decimal

Since 7 is higher than 5 then make the 4 convert into a 5

* Four or less, let it rest, 5 or more, let it sore.

Hope this helped!

the answer is 4.5

Step-by-step explanation:

because when you find the square root of 20, u get 4.472 approximately so find the nearest tenth

Answer:

A

Step-by-step explanation:

<A = 57

Answer: y= - 19/6+x/6

Step-by-step explanation: maybe

Answer:

120 degrees

Step-by-step explanation:

Attached is a screenshot.

y = 180 - 50 - 70 = 60.

x + y = 180, so x = 120

Remember to try to use parallel lines when you can

The second uses the same method, just the opposite side.

The female's have intercourse with the male's in a way that I can't describe on this website, and thus, the males give birth to the babies.

Answer:

0.64705882352

when u round it, it will be

0.65

can i have brainliest, please, i really need it

stay safe from the virus

Step-by-step explanation:

Answer:

$18.5

Step-by-step explanation:

6 divided by 3 = 2

27 divided by 2 = 18.5

Answer:

the magnitude of a real number without regard to its sign.

Step-by-step explanation:

Answer:

the magnitude of a real number without regard to its sign

Step-by-step explanation: or something like that