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Flura [38]
3 years ago
12

1. The x-intercept of the equation 5x - 2y = 10 is

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

x =2

Step-by-step explanation:

The x- intercept is when y = 0

Hence, 5x - 2y = 10

5x - 2(0) = 10

5x = 10

Therefore, x = 2

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Use the product of 123 x 47 to find the product of 123 x 0.47. Explain the difference in the two products.
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Three times a number increased by ten equal to twenty less than six times a number . find the number​
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Answer:

the number is 10

Step-by-step explanation:

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Answer:  Choice B) 60 roses and 10 carnations

============================================================

Explanation:

  • r = number of roses
  • c = number of carnations

r and c are positive whole numbers.

r+c = total number of flowers = 50, since 50 orders are made.

The first equation to set up is r+c = 50.

This equation can be solved to get r = 50-c.

------------------

3r = cost of all the roses only, in dollars

1.5c = cost of all the carnations only, in dollars

3r+1.5c = total cost of all the flowers = 195 dollars

3r+1.5c = 195

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Let's apply substitution to solve

3r+1.5c = 195

3(50-c)+1.5c = 195

150-3c+1.5c = 195

-1.5c+150 = 195

-1.5c = 195-150

-1.5c = 45

c = 45/(-1.5)

c = -30

That's not good. We shouldn't get a negative value.

It turns out that the condition r+c = 50 should be ignored. Notice how none of the answer choices listed have r+c leading to 50.

So we'll only focus on the equation 3r+1.5c = 195

-----------------

If we plugged in r = 100 and c = 100, then we get

3r+1.5c = 195

3(100)+1.5(100) = 195

300+150 = 195

450 = 195

Which is false. So we can rule out choice A

Let's repeat those steps for choice B

3r+1.5c = 195

3(60)+1.5(10) = 195

180 + 15 = 195

195 = 195

So that works out. I have a feeling your teacher meant to say "70 orders" instead of "50 orders". If so, then the equation r+c = 50 would be r+c = 70 and everything would lead to choice B as the final answer.

Choices C and D are similar to that of choice A, so they can be ruled out.

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