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Brums [2.3K]
3 years ago
12

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa

le
2/3x + 3/4 = 8
8x=87
Mathematics
2 answers:
Dimas [21]3 years ago
5 0
These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match. 

Hope this helps!
zzz [600]3 years ago
5 0
If the two equation have the same solution, the x value of each will be equal.  So we solve each equation for x and see if they are equal...

2x/3+3/4=8

(8x+9)/12=8

8x+9=96

8x=87

x=87/8

And the other equation was:

8x=87 so

x=87/8

Since x=x the equations do have a solution 
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Quiah saved $200 every month that she worked. Her savings are recorded in the data table below. What equation would best describ
alexira [117]

Answer:

y = 200x + 300

Step-by-step explanation:

First we multiply the amount she saves every month (200) by the amount of months she works. Since we want an equation that we can use to find Quiah's savings depending on how many months she works, the number of months will be a variable (x). So far we have 200x.

Since she only saves 200 a month and she already has 500 after the first month, we know she had some money saved before. This means we need to add that amount of money to 200x. To find how much money that was, we need to think about the graph. The graph shows us what she has after the month has ended, meaning once she already saved the $200. So to find how much money she originally had we should subtract 200 from 500 which will give us 300. This is how much money she originally had.

This leaves our equation looking like this: y = 200x + 300

6 0
3 years ago
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If Sophia's score was 76 points, what was her percentile rank in the class?
Sergeeva-Olga [200]
She was 13th from the bottom.  13/20 = 0.65 or 65% = 65th percentile

5 0
3 years ago
A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450.
-Dominant- [34]
Based on the information given, the inequality of the amount of sales that she must have to reach her goal would be :
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4 0
3 years ago
PLEASE HELP ME!
algol13

Step-by-step explanation:

1.\sum_{i=1}^{5}3i

The simplest method is "brute force".  Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

2.\sum_{k=1}^{4}(2k)^{2}

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

3.\sum_{k=3}^{6}(2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

∑ = -4

4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4.  The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

\sum_{j=1}^{7}(\frac{1}{4})^{j-1}

5. -5 + -1 + 3 + 7 + 11

This is an arithmetic sequence where the first term is -5 and the common difference is 4.  The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

a = 4n − 9

So the series is:

\sum_{j=1}^{5}(4j-9)

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Please find the attached image

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