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kari74 [83]
3 years ago
10

A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought

shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? (4 points)
A.75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a – 2c = 275

B.75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275

C.25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a – 2c = 27

D.25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
Mathematics
1 answer:
lesya [120]3 years ago
8 0
A+c=100

3a+2c=275, from the first c=100-a making the 2nd equation become:

3a+2(100-a)=275 perform indicated multiplication on left side

3a+200-2a=275  combine like terms on left side

a+200=275, subtract 200 from both sides

a=75, and since c=100-a

c=100=75=25

So the answer is D.  25 children and 75 adults
                                 Equation 1: a+c=100
                                 Equation 2: 3a+2c=275
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3 0
3 years ago
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const2013 [10]
Question: What is 35 percent of 40?

Percentage solution with steps:

Step 1: Our output value is 40.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$40=100\%$40=100%​.

Step 4: Similarly, $x=35\%$x=35%​.

Step 5: This results in a pair of simple equations:

$40=100\%(1)$40=100%(1)​.

$x=35\%(2)$x=35%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
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$\frac{40}{x}=\frac{100\%}{35\%}$
40
x​=
100%
35%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{40}=\frac{35}{100}$
x
40​=
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$\Rightarrow x=14$⇒x=14​

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5 0
3 years ago
PLS HELP ITS MATH PLS
erastovalidia [21]

\:  \:  \:  \:  \:  \:  \: y =  \frac{ - 7x}{8}  + 4 \\  \:  \:  \:  \:  \:  \: multiply \: all \: by \: 8 \\  \:  \:  \:  \:  \:  \:  \:  \: 8y =  - 7x + 32 \\  \:  \:  \:  \:  \:  \:  \:  \:  \: 7x  + 8y = 32

<h2> ( 7 , 8 , 32 )</h2>
6 0
2 years ago
PLEASE HELP DUE TODAY WILL MARK THE BRAINLEST NEED YOUR HELP
Anna007 [38]

Answer:

1) The distance between two consecuitive peaks is called the wavelenght, so:

A = wavelenght.

The middle of the wave is called the rest position, so:

D = Rest position.

The distance between a peak and trough is called the wave heigt, so:

C = Wave height.

The distance between the rest position and a peak or a trough, is called the amplitude of the wave:

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7 0
3 years ago
When a car moves forward by 180cm, each wheel does one full turn.
MakcuM [25]
If the wheel does one full turn in 180 cm, that means the wheels circumference is 180. The equation for circumference is:
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(Can't find the symbol for pi)

Now plug in the 180 for the Circumference:
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Divide by Pi:
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ANSWER:
The diameter is 57 cm


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