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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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5 0
4 years ago
Jared has 12 more comic books than Zoe. If they have 28 comic books
ZanzabumX [31]

Answer:

20 comic books

Step-by-step explanation:

Let us first <u>set up a variable</u>, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an <u>equation</u> and solve for x:

x+x+12=28\\2x+12=28

Now that we have a <u>simplified</u> version of the equation, let us solve for x by <u>isolating the variable</u> on the left side:

2x=28-12\\2x=16\\x=8

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us <u>add</u> 12 to x:

x+12=\\8+12=\\20\\

Therefore, Jared has 20 comic books.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

4 0
3 years ago
Twenty-seven trillion fifty-seven million three hundred twenty-four thousand
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5 0
3 years ago
Consider a dart board made of three concentric circles of radii 1 cm, 2cm and 3 cm, respectively. The points you obtain by hitti
Vlada [557]

Answer:

The answer is 350 points

Step-by-step explanation:

The Area of a circle is πr∧2

The problem states that in the attempts, you never hit the outermost ring in the 10 attempts so we need the area of the 1cm and 2cm circles

Area of the 1st circle;  π X 1∧2 = π

Area of the Second circle; π X 2∧2 = 4π

We also need the area which is the difference between the area of the 1cm and 2cm circle

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Points 50 = π/4π = 1/4

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For one attempt,

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= 34.75

This is approximately 35

Therefor, 10 individual attempts will be 10 x 35 = 350

8 0
3 years ago
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3 years ago
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