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Lady bird [3.3K]
3 years ago
12

What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14

Mathematics
1 answer:
zhenek [66]3 years ago
4 0
1. x-2(2x-3.5)=-14
    x-4x+7=-14
    -3x=-21
    x=7
2. y=2(7)-3.5
    y=14-3.5
    y=10.5
hope this helps!
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What speed is a car traveling if it goes 240 miles in 4 hours?
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Answer:

60 mph

Step-by-step explanation:

240/ 4 hours= 60

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3 years ago
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A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es
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Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

\sigma = 3.10\text{ milligrams}

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0
2 years ago
Graph the equation to solve the system y=2x-3 y=x+6
Aleksandr-060686 [28]
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3 years ago
If (a+10) and (a+20)are supplementary angles,find them​
motikmotik

Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

   a + 10 + a + 20 = 180

              2a + 30 = 180

                      2a = 180 - 30

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Now let's find value of each angle,

a + 10 = 75 + 10

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Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

4 0
2 years ago
Fish is $20 a kilogram your recipe asks for 1/2 kilogram. How much will it cost
lora16 [44]

Known :

1 kg = $20

Asked :

½ kg = $...?

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<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

5 0
3 years ago
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