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3 years ago

11

What is the median of 76, 84, 93, 67, 82, 87, and 76?

1 answer:

Ahat [919]3 years ago

8 0

The median of a set of numbers is the midpoint of the set if you were to organize the numbers from least to greatest or greatest to least. So, all we have to do is rearrange the numbers from least to greatest and find the midpoint:
67 76 76 82 84 87 93
count 3 in from both sides and the remaining number is 82, which is the median.

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You have 10 fewer quarters than dimes and 5 fewer nickels than quarters. the total value of the coins is $4.75. Set up a system

Yanka [14]

So
x- quarters
y - dimes
z- nickels

The system of equations would be
x+10=y
z+5=x
x+y+z= 4.75

6 0

3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

muminat

Answer:

Final answer is approx x=0.16.

Step-by-step explanation:

Given equation is $2.8\times 13^{4x} +4.8 = 19.3$

Now we need to solve equation $2.8\times 13^{4x} +4.8 = 19.3$ and round to the nearest hundredth.

$2.8\times 13^{4x} +4.8 = 19.3$

$2.8\times 13^{4x} = 19.3-4.8$

$2.8\times 13^{4x} = 14.5$

$13^{4x} = \frac{14.5}{2.8}$

$13^{4x} = 5.17857142857$

$\log(13^{4x}) = \log(5.17857142857)$

$4x \log(13) = \log(5.17857142857)$

$4x = \frac{\log(5.17857142857)}{\log\left(13\right)}$

$4x = 0.641154659628$

$x = \frac{0.641154659628}{4}$

$x = 0.160288664907$

Round to the nearest hundredth.

Hence final answer is approx x=0.16.

4 0

3 years ago

A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

Temka [501]

Answer: g(x) decreases by 7

Step-by-step explanation:

Simple algebra and substitution of variables for the number can help you to solve the problem,

g(7)=50-2(7)

g(7)=50-14

g(7)=36

I hope this helps

8 0

3 years ago

Read 2 more answers

A 1.50 liter sample of dry air in a cylinder exerts a pressure of 3.00 atmospheres at a temperature of 25oC. Without change in t

cricket20 [7]

The answer is 4.5 l

To calculate this, we will use the Boyle's law using constant k, pressure P, and volume V:

PV = k

We can forget temperature since it is constant.

We have:

P1V1 = k

P2V2 = k

So, P1V1 = P2V2

P1 = 3 atm

V1 = 1.5 l

P2 = 1 atm

V2 = ?

_____

P1V1 = P2V2

3 atm * 1.5 l = 1 atm * V2

4.5 atm/l = 1 atm * V2

V2 = 4.5 atm l / 1 atm

V2 = 4.5 l

5 0

3 years ago

Read 2 more answers

How many solutions does the system have? y = -2x-4 \\\\ y = 3x+3

lakkis [162]

Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

y = 3x + 3

Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

$x = -\frac{7}{5}$

And

$y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}$

Replacing in the other equation we should get the same result.

$y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}$

So the system has one solution.

3 0

3 years ago