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Anon25 [30]
3 years ago
15

If the weight of a package is multiplied by 5/7 the result is 40.5 pounds. Find the weight of the package.

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0
Well, it would become 5/7x=40.5. Divide both sides by 5/7, so it is 40.5 * by the reciprocal of 5/7 (7/5). The answer is 56.7 pounds.
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-4.8

Step-by-step explanation:

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3 years ago
Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time
Nana76 [90]

Answer:

Jenny save 4 times \$ 250 for the month

Step-by-step explanation:

Given Jenny has saved \$3,800 over the last 12 months.

She saved either \$250 or \$350 a month.

Let the number of months to save \$250 be x

Let the number of months to save \$350 be y

Total period is 12 month.

x+y=12 \ \ \ \ equation\ 1

Jenny has saved $3,800 over the last 12 months.

250x+350y=3800

Dividing both side from 50 we get,

\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}

5x+7y=76 \ \ \ \ equation\ 2

Now Multiplying  equation 1 by 5 we get,

5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3

Now Subtracting Equation 3 by equation 2 we get,

(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8

Substituting the value of y in equation 1 we get,

x+y=12\\x+8=12\\x=12-8\\x=4

∴ Jenny save 4 Months of  \$ 250 and 8 Months of  \$ 350in a 12 month duration

4 0
3 years ago
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Which equation in point-slope form contains the point (−3, 5) and has a slope of −4?
Oksi-84 [34.3K]

Answer:

y - 5 = -4(x + 3)

Step-by-step explanation:

This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:

y - y₁ = m(x - x₁).

We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:

slope (m) = <u>y - y₁</u>

                  x - x₁

So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:

y - <u>5</u> = m(x - x₁).

Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:

y - 5 = m(x - (<u>-3</u>)).

Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:

y - 5 = m(x + 3).

Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:

y - 5 = -4(x + 3).

I hope that this helps.

3 0
2 years ago
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