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yan [13]
3 years ago
13

What is -9(3d - 2) = -29

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0
-9(3d-2)=-29
-27d+18=-29
-27d=-29-18
-27d=-47
d=-47/-27
d=47/27
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One month kris rented 3 movies and 8 video games for a total of $53. the next month she rented 5 movies and 2 video games for a
SCORPION-xisa [38]
Make a system of equations and solve for each variable.

3m+8v=53
5m+2v=26

m= movie cost
v= game cost

multiply the bottom equation by 4(combination method)

3m+8v=53
20m+8v=104. Subtract

-17m = -51
m= 3

Plug back into one of the equations

5(3)+2v=26
15+2v=26
2v=11
v=5.5

m=$3
v=$5.5


6 0
3 years ago
Somebody who knows how to do this?? plz answer all the questions correctly thanks!
Ksju [112]

Answer:

a) 5/21

b) 4/21

c) 4/21

d) 8/21

Step-by-step explanation:

total number of coins: 21

a) number if dollars: 5

therefore fraction is 5/21

b) number of quarters: 4

therefore fraction is 4/21

c) number of dimes: 4

therefore fraction is 4/21

d) number of nickels: 8

therefore fraction is 8/21

4 0
3 years ago
The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi,
Leya [2.2K]

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by \pi r^2l

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe =  213.52

volume of pipe is 213.52 cubic ft.

5 0
3 years ago
Find the average rate of change of the function from x=1 to x=2.<br><br><br><br> f(x)=−14/x^2
Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

f\left(x\right)=-\frac{14}{x^2}

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

6 0
3 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,
valentinak56 [21]

Answer:

The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample  means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean  is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

<em>μ</em> = 144 mm

<em>σ</em> = 7 mm

<em>n</em> = 50.

Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

\bar X\sim N(\mu_{\bar x}=144, \sigma_{\bar x}^{2}=0.98)

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:

P(\bar X-\mu_{\bar x}>2.6)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}} >\frac{2.6}{\sqrt{0.98}})

                           =P(Z>2.63)\\=1-P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

8 0
3 years ago
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