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mestny [16]
2 years ago
11

Monica reads a 7 1/2 pages of a mystery book in 9 minutes. What is her average reading rate in pages per minute?

Mathematics
2 answers:
zaharov [31]2 years ago
7 0

Answer: 5/6 pages per minute

Explanation:

1.) set up problem

7 1/2 ÷ 9

2.) make 7 1/2 an improper fraction by multiplying 7 by the denominator of 1/2 and adding it to the numerator

15/2 ÷ 9

3.) flip the division sign to a multiplication sign and set a 1 over 9

15/2 • 1/9

4.) multiply

15/28

5.) simplify

5/6

mrs_skeptik [129]2 years ago
6 0

Answer:

7.5 pages/9 mins

=(5/6) pages/minute

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What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
2 years ago
Simplify.<br> 7x +84/(x + 12)(x+10)
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Answer:

{7x^2+168x+840}/{x+12}

Step-by-step explanation:

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The following scatter plot demonstrates that there is no correlation between the two quantities. True or False? [Picture attache
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The principal amount, $5500, earns 3.75% interest compounded continuously.
Eva8 [605]

Answer:

a)

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

\:\:A=Pe^{rt}

substituting the values

A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}

A=5500\cdot \:2.71828^{0.225}

A = $ 6,887.77 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

8 0
3 years ago
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