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Oksana_A [137]
3 years ago
9

What is the product of 5/6 * 18/30? Be sure to simplify your answer.

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

To multiply fractions, you multiply numerator with numerator and denominator with denominator:

a/b*c/d=(a*c)/(b*d)

5/6*18/30=(5*18)/(6*30)=90/180=9/18=1/2

Therefore, the answer is 1/2. Looks like your answer of 113/30 either is wrong or the problem was not formatted correctly.

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What is the solution to this system of equations?
Maurinko [17]

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

  • x-intercept = 26/4 = 6 1/2
  • y-intercept = -26/3 = -8 2/3

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

  • x-intercept = 11/3 = 3 2/3
  • y-intercept = 11/2 = 5 1/2

So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

The only 4th-quadrant answer choice is (5, -2).

3 0
3 years ago
the length of a rectangle is 7 inches more than its width, if the perimiter of the rectangle is 66 inches, find its dimensions.
Maurinko [17]
Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w

if the length is 7in more than the width, then
L=7+w

Now we will substitute 7+w in for L. Here is our new equation:

66=2(7+w) + 2w

Solve for w

66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20

I hooe this is explained well enough
3 0
4 years ago
Max can type 160 words in 5 minutes.
Lelechka [254]
400/160=2.5          This is finding the necessary multiplier
2.5*5=x                 I used 2.5 and multiplied it by 5
x=12.5 minutes      This is the answer

It would take 12 minutes and 30 seconds
5 0
3 years ago
Read 2 more answers
Ratio equivalent to 1:3
Margaret [11]

2:6

3:9

4:12

These are all equivilant

4 0
3 years ago
Read 2 more answers
A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full c
ehidna [41]

Answer:

y = 5.5x – 17

Step-by-step explanation:

Slope (m) = ΔY/ΔX=11/2 =5.5

When x=0, y = -17

4 0
2 years ago
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