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3 years ago

Fill in missing numbers. 48.9÷0.03=... ÷ 3

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

4890

Step-by-step explanation:

Recognize the denominator has been multiplied by 100:

0.03 × 100 = 3

To have the same division problem, the numerator must also be multiplied by 100. This is the sort of decimal point adjustment usually carried out for long division: the divisor is made to be an integer, and the decimal point of the dividend is moved the same direction by the same number of places.

$\dfrac{48.9}{0.03}=\dfrac{48.9\cdot 100}{0.03\cdot 100}=\dfrac{4890}{3}$

The missing number is 4890.

____

The quotient is 1630.

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6 people equally share 56 gummy worms. How many gummy worms does each person get?

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Answer:

B: 9 2/6 gummy worms

Step-by-step explanation:

You can't divide 56 equally with 6, so you have to find the nearest dividable number. That number is 54. 54 divided by 6 is 9, which eliminates option C and D. Since 56-54 (the number we took) is 2, the answer is B.

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Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.

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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

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Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

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$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

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