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ValentinkaMS [17]
4 years ago
9

PLEASE help!! I need help with this quick!!!! I partly know how to do this, but not 100%. Use the linear combination method to s

olve the system of equations. Explain each step of your solution.
2x - 3y = 13
x + 2y = -4
Your step by step will help me get this down.
Mathematics
1 answer:
ira [324]4 years ago
5 0
Add the equations in order to solve for the first variable. PLug this value into the other equations in order to solve for the remaining variables.
The answer is:
(2, -3)
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Drag the tiles to the correct boxes to complete the pairs.
sineoko [7]

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%

\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%

So, the answer is:

The percentage of hatchbacks that run on gasoline: <em>78%</em>

The percentage of diesel vehicles that are hatchbacks: <em>21%</em>

3 0
4 years ago
C=5/9(F-32) convert 12°C to Fahrenheit​
goblinko [34]

Answer:

53.6

Step-by-step explanation:

12 = 5/9(F - 32)

= (12 * 9)/5 = F - 32

= 21.6 + 32 = F

53.6 = F

5 0
3 years ago
Find cos0 where 0 is the angle shown. Give an exact value, not a decimal approximation.​
bogdanovich [222]

Answer:

cos(∅) = 3/5

Step-by-step explanation:

cos(∅) = adjacent/hypotenuse

We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.

a² + b² = c²

4² + 3² = c²

√(4² + 3²) = c

c = 5  ,  this is our hypotenus

cos(∅) = adjacent/hypotenuse

cos(∅) = 3/5

8 0
3 years ago
Read 2 more answers
Triangle ABC is an isosceles right triangle. What is the measure of a base angle?
Lelechka [254]
Two angles at base 90& 45
Answer 45
8 0
4 years ago
Read 2 more answers
For each of the following situations, state whether the appropriate test would be a Independent Samples T test or Paired T Test,
Anvisha [2.4K]

Answer:

B. Paired T Test

B. H0: μd = 0 and Ha: μd < 0 where μd= mean difference in blood pressure (calculated as aspirin - placebo)

Step-by-step explanation:

As the experiment is based on the difference between the results of a pair, the most appropiate test is a paired t-test.

If the 80 people group had been dividided in 2 and then compare the means for each group, it would have been a independent samples t-test.

For each pair, a variable d (for difference) is calculated and used as the outcome sample to perform the test.

Then, the null hypothesis will state that the population mean for this difference is not significantly different from 0, and the alternative hypothesis claiming it is signficant different from 0.

The sample means for the treatment group and the placebo is not individually calculated, as only the difference for each pair is used as sample in a paired t-test.

7 0
4 years ago
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