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Sholpan [36]
3 years ago
5

There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club

.
a. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
Mathematics
1 answer:
g100num [7]3 years ago
8 0
Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
y = 27

x = y + 10
x = 27 + 10
x = 37 

To check:

x + y = 64
37 + 27 = 64
64 = 64

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5^x + 5^x+1= 150<br> Find x<br> Help me pls i need soon<br> Tksss
raketka [301]

Answer:

x=2

Step-by-step explanation:

So we have the equation:

5^x+5^{x+1}=150

First, separate the second term:

5^x+(5\cdot5^x)=150

Let u equal 5ˣ. So:

u+5u=150

Combine like terms:

6u=150

Divide both sides by 6:

u=25

Substitute back u:

5^x=25

Take the base 5 logarithm of both sides:

\log_5(5^x)=\log_5(25)

The left cancels:

x=\log_5(25)

Evaluate the right:

x=2

So, our answer is 2.

And we're done!

5 0
3 years ago
-104=-8(k+8) <br><br> K = ?<br> Solution please if can?
maksim [4K]

Let's solve this question by step by step.

Layout equation.

−104=−8(k+8)

Step 1: Simplify both sides of the equation.

−104=−8(k+8)

−104=(−8)(k)+(−8)(8)(Distribute)

−104=−8k+−64

−104=−8k−64

Step 2: Flip the equation.

−8k−64=−104

Step 3: Add 64 to both sides.

−8k−64+64=−104+64

−8k=−40

Step 4: Divide both sides by -8.

-8k/-8=-40/-8

The answer for this problem is k=5.

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What is the slope of this line
alexgriva [62]
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What is the value of the expression 2/5+3/7
Ray Of Light [21]

Answer:

29/35

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help Asap! 20 points!
VLD [36.1K]
Hello

A. will be your answer. 


Hoped This Helped! :D
5 0
3 years ago
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