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3 years ago

Use the distributive property to remove the parentheses. 5(v+6)

Mathematics

1 answer:

Vilka [71]3 years ago

8 0

Answer:

5 x 6v

Step-by-step explanation:

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Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

3 years ago

A car dealership decreased the price of a certain car by 13%. The original price was $45,400.

ira [324]

Answer:

5902

Step-by-step explanation:

Solution: 13% off 45400 is equal to (13 x 13) / 100 = 5902.

5 0

3 years ago

I need you to explain the answer please and thank you!!

iogann1982 [59]

Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4

5 0

3 years ago

the measure of an angle is 12 less than twice the measure of its supplement. what is the measure of the angle

Alex

Answer:

Two angles are said to be supplementary if they add up to 180 degrees. So the supplement of an angle is obtained by subtracting it from 180. i.e., if x is an angle, its supplement is 180−x

7 0

4 years ago

John and Karen plan on building a garden in their new home. They plan on designing a rectangular garden with a perimeter of 70 f

valentinak56 [21]

Answer:

Length of the garden= 7 feet while the width =28 feet

Step-by-step explanation:

Let the length of the garden be L while the width represented as W

From the question, we deduce the following:

W = 4L

Perimeter = 2(L + W) = 70 feet .... substituting W = 4L into this equation gives

70 = 2(L + 4L)

70 = 2(5L)

70 = 10L ... dividing both sides by 10 gives

L = 7

Recall from the first equation that W = 4L

W = 4 * 7 =28

7 0

4 years ago