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3 years ago

9

Which of the following demonstrates the Distributive Property? (4 points) 3(4a + 2) = 12a + 6 3(4a + 2) = 12a + 2 3(4a + 2) = 4a

+ 6 3(4a + 2) = 7a + 5

1 answer:

Anastasy [175]3 years ago

6 0

1. 12a+6=12a+6
2. 12a+6=12a+2
3. 12a+6=4a+6
4. 12a+6=7a+5

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

If the area of a square plot of<br> land is 9 miles squared, what is<br> the perimeter of this land?

tatyana61 [14]

Answer:

$\huge{ \fbox{ \sf{12 \: miles}}}$

Step-by-step explanation:

Given,

Area of a square plot = 9 miles

<u>First</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u>

$\boxed{ \sf{Area \: of \: a \: square \: = \: {length}^{2} }}$

$\mapsto{ \sf{9 = {length}^{2} }}$

$\mapsto{ \sf{ {length}^{2} = 9}}$

$\mapsto{ \sf{ \sqrt{ {(length)}^{2} }} = \sqrt{9} }$

$\mapsto{ \sf{length = 3 \: miles}}$

<u>Now</u><u> </u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>perimeter</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u> :

$\boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}$

$\mapsto{ \sf{perimeter \: = \: 4 \: * \: 3}}$

$\mapsto{ \sf{perimeter \: = 12 \: miles}}$

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

3 0

3 years ago

Who ever solve this first I will give Brainliest to them

andriy [413]

Answer:

9

Step-by-step explanation:

In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense

5 0

2 years ago

How many 2/5 are in 4?

Juliette [100K]

<span> For this case what we must do is a division using the following relationship:
</span> $N = (total amount) / (partial amount)
$ <span>Substituting values we have:
</span> $N = (4) / (2/5)
$
<span> Rewriting the fraction we have:
</span> $N = (20) / (2)
$
<span> Simplifying we have:
</span> $N = 10
$
<span> Answer:
The number of times repeated 2/5 for 4 is:
10</span>

6 0

3 years ago

A map has a scale of 1 inch equals 100 miles. How many inches is 500 miles?

KengaRu [80]

Answer:

wouldn't it be 5 inches. Not 100% sure

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2 years ago

Read 2 more answers