A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?

Answer:

7.03, 6.75, 6.72, 6.08, 6.4

Step-by-step explanation:

Answer:   [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

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Work Shown:

[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

Answer: 20:12 for the first one

Step-by-step explanation:

5:3, 20:12,

Answer:

3.3 secs

Step-by-step explanation:

divide the pages by the minutes

Answer:

7 x 10^-7

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Interest is earn at a rate of 4.46%/ year, while this is after 3 years

=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46

How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46

Aight, I'm heading to bed now. It's 0:10 here

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

Answer: buddy if you put it in English i can do it I’m a teacher

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

24 is 40% of 60

Step-by-step explanation:

Answer:

62.84

Step-by-step explanation:

pie=3.142

c=pie * diameter

r=10cm

d=2r

d=2(10)=20cm

c=3.142 * 20

c=62.84

Step-by-step explanation:

Formula for the Circumference of a circle = 2πr

C = 2πr

C = (2 * 3.142) * 10

C = 6.284 * 10

C = 62.84cm

Answer:

Step-by-step explanation:

it goes straight across 4 ( up and down)

Answer:

Step-by-step explanation:

Start with the standard form of an equation for a straight line:

y=mx+b,

where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope (4), so we have:

y = 4x + b

We can calculate b from the given point, (0,4).  Just enter the values for x and y and solve for b.  But in this case the given point already tells us the value of b since at x = 0, y = 4.  So we can enter it directly.

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For reference, if we went ahead and solved for b, this is what we'd get:

y = 4x + b

4 = 4*(0) + b

b = 4

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So the final equation of this line is y = 4x + 4

The graph is attached.

Answer:

405

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.

1 nickel and 3 pennies is  5.000000681 percent of a dollar.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 1 nickels which is equal to 5 cents = 0.05 dollars.

1 penny = 0.00000000227 dollars

∴ 3 pennies is = 0.00000000681.

∴ 1 nickel and 3 pennies = 0.05000000681.

∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.

= 5.000000681% of a dollar.

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Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Answer:(5x+8)/[(x+4)(x-1)(x+3)]

Step-by-step explanation:

1. First factorize the quad expressions in the denomeneter of both fractions.

2. Then choose you arithmetic common denomeneter .

3. And the rest is child's play.

- BRAINLIEST answerer

Answer:

8/9

Step-by-step explanation:

4/5 ÷ 9/10

4/5 x 10/9

40/45 or 8/9

A division is a process of splitting a specific amount into equal parts.8/9 is the quotient for 4/5 ÷ 9/10.

a division is a process of splitting a specific amount into equal parts.

While doing division process we have some important parts of division which are dividend, divisor, remainder and Quotient.

In the given problem 4/5 is he divisor and 9/10 is the divisor.

Four by five divided by nine by ten

4/5 ÷ 9/10

When two fractions are divided, the division turn to multiplication when the denominator fraction shifts to up.

4/5 x 10/9

Cross over the fraction with 5.

40/45

8/9

Hence 8/9 is the quotient for 4/5 ÷ 9/10.

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Answer:

47.5 minutes

Step-by-step explanation:

40 min = 80

x min = 95

40/80 = x/95

3800 = 80x

x = 47.5

-Chetan K

Answer:

12. 12.8 is the answer without rounding, 13 is the answer with rounding

story: you buy 4 apples for 3.2 cents each, since you cannot pay in less than a cent, you must give the seller 13 cents for the 4 apples

14. 12/7 is the answer without rounding, with rounding its 1

you have 3 1/7 of an apple, and your friend wants you to split it into 1 5/6 pieces, but you can't, so your friend is nice and only takes less than his part

Step-by-step explanation:

Answer:

7x(3y - 2z - 4w)

Step-by-step explanation:

21xy - 14xz - 28wx ← factor out 7x from each term

= 7x(3y - 2z - 4w)

Answer:

7 x . (3y - 2z - 4w

Step-by-step explanation:

m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2

Answer:

A 6 km per hour

B 10 min.

Step-by-step explanation:

I just need to fill the 20 character limit

Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

One apple cost $1.8 while the money that Philip has is $24.90

Let x represent the cost of each apple and y represent the money he has presently.

He can buy 15 apples if he had $2.10 more money than he has now, hence:

15x = y + 2.1

15x - y = 2.1     (1)

Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:

12x + 3.3 = y

12x - y = -3.3   (2)

Solving equations 1 and 2 gives:

x = 1.8, y = 24.9

Hence one apple cost $1.8 while the money that Philip has is $24.90

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Answer:

2/1

Step-by-step explanation:

The distance between K and M = 35 (from the question)

[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).

Collecting like terms:

[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).

Dividing by the variable's coefficient:

[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).

Step-by-step explanation:

Answer:

18/42

Step-by-step explanation:

Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42

Hope you understand