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tatiyna
3 years ago
5

Solve the system by the elimination method. Check your work. 2a + 3b = 6 5a + 2b - 4 = 0

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Solve the system by the elimination method.
2a + 3b = 6
5a + 2b - 4 = 0 

multiply thru the top equation by 2
Multiply thru the bottom equation by 3

4a + 6b = 12
15a+ 6b = 12

Subtract and solve for "a":
11a = 0
a = 0

Solve for "b" using 2a + 3b = 6
2*0 + 3b = 6
b = 2
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75% of the whole is 180. what is the whole.
earnstyle [38]

Answer: 240

180×100=18,000

18,000÷75=240

to check

.75×240=180

I hope this is good enough:

6 0
2 years ago
Suppose that the average and standard deviation of the fine for speeding on a particular highway are 111.12 and 13.04, respectiv
antoniya [11.8K]

Answer:

3) (98.08, 124.16)

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 111.12

Standard deviation = 13.04

Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.

68% of the fines are within 1 standard deviation of the mean speed. So

From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16

The interval notation in the smallest value before the highest value.

So the correct answer is:

3) (98.08, 124.16)

8 0
3 years ago
20 POINTS! Name the property of equality you would use to solve 2 = 3/4 + x
N76 [4]
Its eeither transposing or trabsposition
3 0
3 years ago
What is the answer for this problem
Margarita [4]
The answer is 2 and negative 9
3 0
2 years ago
Chef Rita Is cooking for a Sunday brunch.She knows that 22 pancakes can feed 8 people.She is wondering how many people she can f
AlexFokin [52]

Answer:

Chef Rita can feed 20 people with 55 pancakes.  

Step-by-step explanation:

We can solve this problem using equivalent ratios.  Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:

\frac{22pancakes}{8people}=\frac{22}{8}

To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.  

\frac{22}{8}=\frac{55}{x}

We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio.  55 ÷ 22 = 2.5.  So, 8 x 2.5 = 20 people.  

4 0
3 years ago
Read 2 more answers
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