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nordsb [41]
3 years ago
8

Solve for x. -3x = -15

Mathematics
2 answers:
yuradex [85]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

-3x = 15

----     ----

-3      -3

x = 5

Ludmilka [50]3 years ago
6 0
Your answer is x=5
You basically divide both sides by -3 and the negatives cancel out
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A t-shirt launcher can launch 6 shirts in 30 minutes. What is the number of shirts per hour?​
Ilya [14]

Answer:

12 shirts

Step-by-step explanation:

If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.

6 0
3 years ago
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CAN YOU HELP ME WOTH GEOMETRY! It's due TONIGHT!
mash [69]

Answer:

look down below

Step-by-step explanation:

We know that AB = DC, and BC = AD, ∠B = ∠D because they are given

So, ΔABC ≅ ΔCDA because of SAS congruency

3 0
2 years ago
The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me
julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 200 mg

Sample mean, \bar{x} = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis  for a two tailed test

H_{0}: \mu = 200\\H_A: \mu \neq 200

We use Two-tailed t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799

c) Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0
3 years ago
A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is
Ainat [17]

Answer:

15.2~mph

Step-by-step explanation:

Let the time flown by the flying carpet be t. Then, we have that (2.4)/t=(1.4)/t+2*4.

We multiply both sides of the equation by t to get 2.4=1.4+8t.

We subtract 1.4 from both sides to get 1=8t.

We divide both sides of the equation by t=1/8.

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is (2.4)/(1/8)=19.2mph.

The speed against wind is (1.4)/(1/8)=11.2mph.

The speed in still wind is (19.2+11.2)/2=(30.4)/2=15.2.

Therefore, the answer is \boxed{15.2~mph} and we're done!

4 0
3 years ago
At which values of X does the function F(x) have a vertical asymptote check all apply F(x) =3/(x+2) (x-7)
finlep [7]

Answer:

When x = -2 or when x = 7

Step-by-step explanation:

x+2 is a factor in the denominator. If x = -2, the factor becomes zero.

x-7 is a factor in the denominator. If x = 7, the factor becomes zero.

We can't have zero as a factor in a denominator because division by zero is not defined. It doesn't have any meaning.

8 0
3 years ago
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