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True [87]
3 years ago
8

Is -31/8 less than, greater than, or equal to -3.92

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
-31/8 equalss -3.88 so -3.88 > -3.92
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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
dalvyx [7]

Answer:

The measure of the side QR is 8.8.

Step-by-step explanation:

Since LMNO \sim PQRS, then SP \propto OL, RS \propto ON, RQ \propto MN and QP \propto LM. From figure we have the following relationship:

k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP} (1)

Where k is the proportionality ratio.

If we know that SP = 13, OL = 55, MN = 37, then the measure of side QR is:

k = \frac{OL}{SP} (1b)

k = \frac{55}{13}

k = \frac{MN}{QR}

QR = \frac{MN}{k} (1c)

QR = \frac{37}{\frac{55}{13} }

QR = 8.745

The measure of the side QR is 8.8.

4 0
3 years ago
mark borrows $2,100 at an 8% simple intrest rate for 9 months. What is the amount he is being charged for borrowing the money
Taya2010 [7]

Answer:

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Step-by-step explanation:

9 months is  3/4  of one year

2100 * 3/4 * .08 = 126 dollars interest

6 0
2 years ago
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dimulka [17.4K]

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4 0
2 years ago
You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will i
allsm [11]

Since the interest is compounded, we will have to use the compound interest formula.

We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.

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Since the interest is compounded quarterly, n = 4.

After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.

4 0
2 years ago
Change 5x-6y=36 into slope intercept form
marin [14]
slope\ intercept\ form:\\y=ax+b\\a-\ slope\\b-\ intercept\\\\
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\boxed{y=\frac{5}{6}x-6}
7 0
2 years ago
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