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Svetradugi [14.3K]
3 years ago
8

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finishe

d a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining

substract the science problems from the total 43-3=40

And now we can determine the amount of math problems

4/5 = 40/x where x is the total amount of math problems Ivan was assigned

cross multiply

4x = 5*40

4x=200

isolate the variable

4x/4 = 200/4

x=50

So Ivan was assigned a total of 50 math problems

(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation

Hope this helps!

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Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.
Sauron [17]

Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

2x=8+y

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

x+2y=14

To find the value of y, let us solve the two equations using substitution method.

From the equation 2x=8+y , let us find the value of x.

x=\frac{8+y}{2}

x=\frac{8}{2} +\frac{y}{2}

x=4+\frac{y}{2}

Now, substituting x=4+\frac{y}{2} in the equation x+2y=14 , we get,

4+\frac{y}{2}+2y=14

      4+\frac{5y}{2} =14

            $\frac{5 y}{2}=10$

            5y=20

              $y=4$

Thus, the value of y is $y=4$

8 0
3 years ago
Which of the following is the correct value for x
USPshnik [31]
(1) 5 is the answer
7 0
3 years ago
RADIANS?.................
Taya2010 [7]

Answer:

pi/18

Step-by-step explanation:

To change from degrees to radians, we multiply by pi/180

10 * pi/180

pi/18


8 0
2 years ago
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