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k0ka [10]
3 years ago
6

91. Jack can read 45 pages of his book in one and a

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

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Terrence opens a savings account with a deposit of $1000. After 1 year he receives $50 in interest. What is the annual interest
geniusboy [140]

Answer:

Step-by-step explanation:

So, I'm pretty sure this is a problem about compound interest.

The formula for compound interest is A = p(1 + r/n)^nt

For this problem, $1000 is p, the initial amount; A is the total amount, or $1050.

What the problem is asking for is r, the interest rate, which is divided by n. N is the number of times the interest rate is compounded per year; Since the question is asking for the annual interest rate, N would be equal to 1. And because Terrence is has only left his money in for a year, t would also be equal to one.

So, by filling in the formula some, we get this:

$1050 = $1000(1 + r/1)^1*1

To find r, we would need to isolate it in the problem.

1. First, distribute $1000 to the parenthesis(keep in mind that 1000, is also equal to 1000/1:

1050 = (1000 + 1000r/1)^1

2. Then subtract 1000 from both sides:

50 = (1000r/1)^1

3. Multiple both sides by one:

50 = (1000r)^1

4. Divide both sides by 1000:

.05 = r^1 or .05 = r.

The answer is A, 5%.

8 0
3 years ago
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 a
emmasim [6.3K]

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; brainly.com/question/4344214

4 0
3 years ago
Read 2 more answers
Which expressions are equivalent to the given expression?
gizmo_the_mogwai [7]

Answer: Choice C. \frac{1}{x^{2}y^{5}  }and Choice E. x^{-2} y^{-5}

Step-by-step explanation:

Algebraic exponents.

5 0
3 years ago
Read 2 more answers
8 tins holds 42-2-3 liter of oil. How many liters can 1such tin hold
GarryVolchara [31]
Answer = 4.625


Solution =42-2-3=37

37 divided by 8 = 4.625




Holley Gus’s it’s the answer
8 0
3 years ago
Find the slope of the line that passes through (1,5) and (10, 10).
Oliga [24]

Answer:

\frac{5}{9}

Step-by-step explanation:

The formula for the slope with two points given would be

\frac{y_2-y_1}{x_2-x_1}

Substitute

\frac{10-5}{10-1} =\frac{5}{9}

5 0
3 years ago
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