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Mashcka [7]
3 years ago
9

There were twelve times more children than adults at the matinee performance of the school play. There were 455 people at the pl

ay. How many adults and children were there?
Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

35 adults, 420 children

Step-by-step explanation:

1. Set up variables

Let's say children is c and adults is a.

2. Create the equations

c = 12a AND c + a = 455

3. Plug in the variables

Let's take c = 12a and substitute it in for c in the equation "c + a = 455." That would be...

12a + a = 455

13a = 455

a = 35

3. Plug in more variables

Now we have our answer for a, so let's plug it into the other equation. That would be...

c + a = 455

c + 35 = 455

c = 420

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Solve: |2(x-5)|+11=17​
Otrada [13]

Answer:

Step 1

Use the distributive property to multiply 22 by x-5x−5.

|2x-10|+11=17∣2x−10∣+11=17

Hint

Expand using distributive property.

Step 2

Subtract 1111 from both sides.

|2x-10|=17-11∣2x−10∣=17−11

Step 3

Subtract 1111 from 1717 to get 66.

|2x-10|=6∣2x−10∣=6

Hint

Subtract one term from another.

Step 4

Use the definition of absolute value.

2x-10=62x−10=6 2x-10=-62x−10=−6

Step 5

Add 1010 to both sides of the equation.

2x=162x=16 2x=42x=4

Step 6

Divide both sides by 22.

x=8x=8 x=2x=2

Solution

x=2x=2

x=8x=8

Step-by-step explanation:

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6 0
2 years ago
An account now contains $10,118 and has been accumulating interest at 8℅ annual interest, compounded continuously, for 6 years.
vladimir1956 [14]
The amount in the account is now 10 118 dollars for 6 years that earned 8% annual interest.
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4 0
4 years ago
If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be
ser-zykov [4K]

Answer:

A

Step-by-step explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.

6 0
4 years ago
Which system of equation does the graph represent
alexdok [17]
We cant answer these type of questions if theres no picture of the graph sorry
4 0
3 years ago
Malik solved this system of equations.
gtnhenbr [62]
The variable y in the 2nd equation has a coefficient of 1...so there will be fewer steps to the solution
7 0
3 years ago
Read 2 more answers
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