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3 years ago

Emma has already read 6 of 20 books on her summer reading list. What percent of the books on her list has she read already?

2 answers:

7 0

To find the percent of the books she has read, divide the number that she has already read by the total number of books on her list.
Read: 6
Total: 20
6/20= 0.3
When you convert decimals to percentages, you move the decimal 2 spots to the right. So 0.3= 30%
Therefore, Emma has read 30% of the books on her list :)

tekilochka [14]3 years ago

4 0

The answer is 30% because 6/20×100/1=30%

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Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How

lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

$Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050$

Thus simple interest earned over 6 years is $ 4050

6 0

4 years ago

X/6=36/24 what value of x makes this proportion true

Stolb23 [73]

Cross multiply or just multiply both sides by 24
24x/6=36
4x=36
divide both sides by 4
x=9

4 0

3 years ago

Read 2 more answers

Convert the decimal expansion 0.291666... to a fraction

Alexus [3.1K]

7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.

3 0

3 years ago

Read 2 more answers

During the cold winter months, a sheet of ice covers a lake near the arctic circle. At the beginning of spring, the ice starts t

Digiron [165]

Answer: 1.5 meters.

Step-by-step explanation:

Given: At the beginning of spring, the ice starts to melt.

The variable s models the ice sheets thickness in meters t weeks after the beginning of spring.

$s=-0.25t+4$

At t=0, s=4 meters

At t=1, s=3.75 meters

∴It is a linear equation, where the rate of change in thickness = 3.75-4=0.25 meter per minute .

The decrease in ice sheet in every 6 weeks = $6\times\text{rate of decrease}=6\times0.25=1.5\ meters$

5 0

3 years ago

PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6

Burka [1]

Answer:

z = 6

Step-by-step explanation:

We know that ...

sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

90 -(9z -1) = 6z +1

90 = 15z . . . . . . . . . add (9z-1) to both sides

6 = z . . . . . . . . . . . . divide by 15

_____

Comment on the graph

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

sin(x) = cos(90 +360k -x) . . . . . for any integer k

Then the above equation becomes ...

90 +360k = 15z

6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

sin(x) = cos(x -90)

sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

z = 30 2/3

6 0

3 years ago