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3 years ago

Which of the following represents the sentence shown? “Twice a number, n, decreased by six is fourteen.”

1 answer:

8 0

Twice the number n will be expressed as 2n. So, that will be in our final answer. In order to decrease the number by 6, we will subtract 6. So there will be a - 6 in our final answer. Together, this is 2n - 6, and that is the same as the second option. So, the second option is the correct one.

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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

At your birthday party you had 78 slice pizzas . 41 slices were eaten . What fraction of pizza is left

natka813 [3]

Answer:

78-41=37

Step-by-step explanation:

8 0

3 years ago

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A car travels 120 miles in 2.5 hours (with a constant speed). What is the car's

kipiarov [429]

Answer:

Step-by-step explanation:

120 divided by 2.5 = 40

5 0

3 years ago

Read 2 more answers

Which ratio is equivalent to 4:5?

maw [93]

Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

5 0

3 years ago

Linear Inequality Systems Graphically

faltersainse [42]

Answer:

SNITCHY SNATCH

Step-by-step explanation:

I actually don't know how to show how to graph it. Sorry. But I can give a few coordinates. For y < 1/3x + 3: (-1,2 2/3) (0,3) (1,3 1/3). For y > -2/3x - 3: (-1,-2 1/3) (0,-3) (1,-3 2/3).

6 0

3 years ago