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2 years ago

The point (7, 8) is the solution of which of the following systems of equations?

Mathematics

2 answers:

Alex73 [517]2 years ago

8 0

Option 4

Verification:-

$\\ \sf\longmapsto x-7y=-49$

$\\ \sf\longmapsto 7-7(8)=-49$

$\\ \sf\longmapsto 7-56=-49$

$\\ \sf\longmapsto -49=-49$

And

$\\ \sf\longmapsto 10x+9y=142$

$\\ \sf\longmapsto 10(7)+9(8)=142$

$\\ \sf\longmapsto 70+72=142$

$\\ \sf\longmapsto 142+142$

Hence verified

Evgesh-ka [11]2 years ago

6 0

Answer:

Step-by-step explanation:

1. 8x - y = 48

9x + 10y = 142

8(7) - 8 = 48

9(7) + 10(8) = 143

2. 9x - y = 55

8x + 10y = 140

9(7) - 8 = 55

9(7) - 10(7) = -24

3. x-6y=-41

8x + 9y = 127

7 - 6(8) = -41

8(7) + 9(8) = 128

4. x-7y=-49

10x + 9y = 142

7 - 7(8) = 49

10(7) + 9(8) = 142

Yes

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julia-pushkina [17]

Answer:

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2 years ago

You are planning a May camping trip to Denali National Park in Alaska and want to make sure your sleeping bag is warm enough. Th

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The probability that this bag will be warm enough on a randomly

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Step-by-step explanation:

You are planning a May camping trip to Denali National Park in Alaska

and want to make sure your sleeping bag is warm enough.

The average low temperature in the park for May follows a normal

distribution

The given is:

1. The mean is 32°F

2. The standard deviation is 8°F

3. One sleeping bag you are considering advertises that it is good for

temperatures down to 25°F (x ≥ 25)

At first let us find the z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean, σ is standard deviation

∵ μ = 32°F , σ = 8°F , x = 25°F

- Substitute these values in the rule

∴ z = $\frac{25-32}{8}=-0.875$

Now let us find the corresponding area of z-score in the normal

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∵ The corresponding area of z = -0.875 is 0.18943

∵ For P(x ≥ 25) the area to the right is needed

∵ P(x ≥ 25) = 1 - 0.18943 = 0.8106

∴ P(x ≥ 25) = 0.8106

The probability that this bag will be warm enough on a randomly

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Learn more:

You can learn more about mean and standard deviation in brainly.com/question/6073431

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2 years ago

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Answer:

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Step-by-step explanation:

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Copies: x

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70(18) = 1260

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The point-slope form:

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2 years ago

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi

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Answer:

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2 years ago