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bearhunter [10]
3 years ago
7

An exam worth 148 points contains 36 questions. Some questions are worth 2 points, and the others are worth 6 points. How many 2

point and 6 point questions are on the test?
Mathematics
1 answer:
Airida [17]3 years ago
4 0

In order to solve for this question, let's assign a couple variables.

The variable 't' will represent the number of two-point questions, and the variable 's' will represent the number of six point questions.

From the given, we can already form two equations:

t + s = 36

("An exam... contains 36 questions")

2t + 6s = 148

("An exam worth 148 points... Some questions are worth 2 points, and the others are worth 6 points")

Before we begin calculating anything, we can simplify the second equation we made, since all the numbers are divisible by 2:

2t + 6s = 148

t + 3s = 74

Now let's refer back to the first equation. We can subtract both sides by 's' (you could also subtract both sides by 't', but I personally think that this will make solving the equation less difficult):

t + s = 36

t = 36 - s

This effectively gives us a value for the variable 't'. We can assign this value back into our first equation:

t + 3s = 74

(36 - s) + 3s = 74

36 + 2s = 74

2s = 38

s = 19

Input 's' into our second equation to solve for 't':

t = 36 - s

t = 36 - 19

t = 17

There are 17 two-point questions and 19 six-point questions

- T.B.

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slega [8]
This is confusing trying PHOTOMATH
8 0
3 years ago
A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.
Evgesh-ka [11]
An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it? 
210 = 1/2*(20)*W*H

And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0
3 years ago
micheal is working on the roof of his house. Michael is on the ground,standing 5 feet away from the house.A ladder touches the h
atroni [7]
The answer would be 20 feet ladder
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3 years ago
A grocer bought 70 cans of corn. She sold 10 cans that day and 15 cans the next day. How many did she have left?
e-lub [12.9K]

answer

45

step-by-step explanation

total = day1 + day2 + remaining

total = 70

day1 = 10

day2 = 15

plug in values

70 = 10 + 15 + remaining

remaining = 70 - 10 - 15

remaining = 45 cans

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djverab [1.8K]

Answer: $0.75

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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