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AlexFokin [52]
3 years ago
13

At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 8

0 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.

1. f + s = 1050
s + 80 = f

2. f - s = 1050
f + s = 80

3. f + s = 1050
f + 80 = s

4. f - s = 1050
s + 80 = f

5. f + s = 1050 f - 80 = s
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer: Numbers 1 and 5.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let's define the variables:

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M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

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And using the equation:

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Find the measure of the angle indicated in bold. Plus the theorem.
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Consecutive interior theorem

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Step-by-step explanation:

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Sliva [168]

Answer:

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Step-by-step explanation:

A) \frac{ {11}^{4} }{ {11}^{11} }  =  {11}^{4 - 11}  =  {11}^{ - 7}  \\  \\  B)\frac{1}{ {11}^{ - 4} }  =  {11}^{4}  \\  \\C) ( {11}^{ - 3} )^{ - 3} =  {11}^{ - 3( - 3)}  =  {11}^{9}   \\  \\  D){11}^{5} . {11}^{2}   =  {11}^{5 + 2}  =  {11}^{7}  \\  \\  \because \:  {11}^{ - 7}  <  {11}^{4}  <  {11}^{7}  <  {11}^{9}  \\  \\  \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} }   < {11}^{5} . {11}^{2}  <  ( {11}^{ - 3} )^{ - 3}

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