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Anarel [89]
3 years ago
10

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total

of $65 for membership and gym use. If the equation 10 + 5 x = 65 models the situation, how many times did he use the gym last month?
11
12
13
15
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

First step to solving the equation is to subtract 10 on both sides:

10 - 10 + 5x =65 -10

5x = 55

Then, we divide by 5 on both sides!

5x ÷ 5 = 55 ÷ 5

x = 11

Our result is 11, so the answer to the problem is 11

I hope I was helpful!

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I'd really appreciate some help on these questions, I'm really struggling
nikklg [1K]
We can use linear combinations of the equations to eliminate variables.

3x - 4y = 1
-2x + 3y = 1

To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second. 

9x - 12y = 3
-8x + 12y = 4

Adding,
x = 7

We could solve for y directly but let's use another linear combination, twice the first plus three times the second:

2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)

y = 5

Check: 3(7)-4(5)=1 good.   -2(7)+3(5)=1 good.

Q18 Answer: (7,5)

y = -3x + 5
5x - 4y = -3

4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)

5x = -12x + 20 -3

17 x = 17

x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good

Q19 Answer (1,2)

6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good   2y+24=2(-7)+24=10=x good

Q20 Answer (10,-7)


3x + y = 18
-7x + 3y = -10
9x  + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6

Check: 3(4)+6=18 good,  -7(4)+3(6)=-10 good

Q21 Answer: (4,6)

6 0
3 years ago
List the angles of triangle ABC in order from smallest to largest measure if AB = 9, AC = 11, and BC = 10.
galben [10]
Across smallest side- smallest angle.
across largest side- largest angle
largest side is AC, so largest angle is B
smallest side is AB, so smallest angle is C
angles from smallest to largest : C, A, B
4 0
3 years ago
Last year, the student population at Sunshine Middle School was 876 students. This year it is 891 students. What percentage did
joja [24]
Step 1 : Find the difference [ 891 - 876 = 15 ]

Step 2 : Determine the percentage

Answer: 15% from last year

:)
6 0
2 years ago
Read 2 more answers
Simplify the expression 5/x-2y5
34kurt

5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.

(5/x= 5x) + (y/-2/-5)

7 0
4 years ago
What are the properties of pollelogram?​
AURORKA [14]

Answer:

any chooses

Step-by-step explanation:

7 0
3 years ago
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