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3 years ago

Write an equivalent expression for 27x + 18.

Mathematics

1 answer:

Ugo [173]3 years ago

3 0

Answer:

9 (3x+2)

Step-by-step explanation:

27x + 18 = 9 (3x+2)

By simplifying the Given expression you get 9 (3x+2)

and no matter how many times you simplify that expression you always get the expression you started with so in other word their equavalent to each other

Hope this helps

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Pls work out and give detail. Use the slope formula to determine the slope of each line.

kolbaska11 [484]

Answer:

$m=0$

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

$(x_1,y_1) = (-4,1)$

and

$(x_2,y_2) = (3,1)$

The slope m is then calculated using:

$m = \frac{y_2- y_1}{x_2 - x_1}$

Substitute values for the x's and y's

$m = \frac{1-1}{3 - (-4)}$

$m = \frac{1-1}{3 +4}$

$m = \frac{0}{7}$

$m=0$

Hence, the slope is 0

7 0

3 years ago

18. A credit card company claims that the mean time the customers spend on

Aleksandr [31]

Answer: If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is .031

Step-by-step explanation:

8 0

3 years ago

Please Help Me. I will mark as Brainlest

Tanya [424]

Answer:

275 ft³

Step-by-step explanation:

Given the ratio of radii of 2 similar figures = a : b , then

ratio of volumes = a³ : b³

Here the ratio of radii = 5 : 2 , so

ratio of volumes = 5³ : 2³ = 125 : 8

Calculate the volume (V) of A using proportion

$\frac{125}{V}$ = $\frac{8}{88}$ = $\frac{1}{11}$ ( cross- multiply )

V = 275 ft³

That is the volume of figure A = 275 ft³

4 0

2 years ago

Solve the system using elimination

saul85 [17]

2x + 3y = 9
x + 5y = 8....multiply by -2
----------------
2x + 3y = 9
-2x - 10y = -16 (result of multiplying by -2)
---------------add
-7y = - 7
y = -7/-7
y = 1

x + 5y = 8
x + 5(1) = 8
x + 5 = 8
x = 8 - 5
x = 3

solution is (3,1)

7 0

3 years ago

During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were record

SpyIntel [72]

Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

Part 2:

H0:

Ha:

Part 3: The test statistic is given as 3.0081.

Part 4: The p-value is given as 0.39037

Step-by-step explanation:

As per the data

Part 2

H0:

Ha:

Part 3

As per the sample is of 300 homes, the expected values are given as

ABC=p(ABC)*300=0.30*300=90

CBS=p(CBS)*300=0.27*300=81

NBC=p(NBC)*300=0.26*300=78

IND=p(IND)*300=0.17*300=51

Now the values actually are given as

ABC=94

CBS=71

NBC=88

IND=47

So the test static is given as

So the test statistic is given as 3.0081.

Part 4

Now the degree of freedoms are given as 4-1=3

and chi square is given as 3.0081 so for α = 0.05 , the p-value is given as 0.39037

Part 1.

As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

4 0

3 years ago