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SSSSS [86.1K]
3 years ago
9

A student has received 56, 70, 61 and 46 on his first four college algebra exams this semester. He asked the instructor what gra

de he would need to make on the fifth exam to pass the course. What score will he need to earn to receive 70% or higher on the fifth exam? Set up an equation/inequality and show all work and find the solution.
Please help!
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Let x be the mark he would attain at the fifth exam. Then,

\frac{56+70+61+46+x}{5} \geq 70

\frac{273+x}{5} \geq 70

273 + x ≥ 350

x ≥ 350 - 273

x ≥ 77

So, he should score 77 or more marks in his fifth exam.

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Carly tried to solve an equation step by step.
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Answer:

First step of the problem

Step-by-step explanation:

The mistake that Carly did while solving the equation was that she multiplied -4 with 10, when there was no reason to. If she had to, it would be if -4 was 1 over -4 and then to get rid of that should would multiplied that on both sides. Both in this case there was no reason to.

Besides that, the real way to solve the problem is by doing these steps.

1. Distribute property

-4(7j+2) = 10  => take -4 times 7j and -4 times POSITIVE 2

-28j-8= 10

You may be wondering why can't we add 7j and 2 together? Well it's because they aren't the same variable if 7j was just 7, then you could add 7 and 2 together. And if 2 was 2j, you would add 7j and 2j together. This type of process is called "combine like terms." It's when you add or subtract all the terms that are the same variable.

2. Get "j" on one side

-28j-8= 10

<u>      +8  +8 </u>

-28j= 18

With this we had to add 8 on both sides to get -28j on one side of the equation. This is how we ended up with -28j= 18

3. Get "j" all alone

<u>-28j= 18 </u>

    18

j= -28/18

or j= -14/9

Why did we divide 18? Well if you divide 18 on both sides, you have one side cancel out and the other side resulting in the coefficient with the variable divided by the number, this will cause "j" to be alone or have an answer.

The right answer for "j" is actually -14/9

I hope this help you understand, if not don't be afraid to ask questions or even comment. Hope you have a great day, bye! :D

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4 years ago
A rectangle swimming pool was 9 meters wide with an area of 90 square meters. What is the length of the pool?
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90/9=10

The length of the pool is 10 meters.

Hope this helps!

If not, I am sorry.

7 0
2 years ago
Read 2 more answers
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