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TEA [102]
3 years ago
9

Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her

more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6). Which statement could be true in this situation? Alexia completed 8 math problems and 9 science problems. Alexia completed 4 math problems and 6 science problems. Alexia completed 20 math problems and 10 science problems. Alexia completed no math problems and 15 science problems.
Mathematics
2 answers:
Bad White [126]3 years ago
6 0

Answer:

C

Step-by-step explanation:

murzikaleks [220]3 years ago
4 0

Answer: Alexia completed 20 math problems and 10 science problems.

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hichkok12 [17]

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In 2 ½ hours, Joaquin can bake 4 dozen cookies. What is his unit rate in dozen cookies per hour?
OverLord2011 [107]

Answer:

1.6 dozen cookies per an hour

Step-by-step explanation:

2 1/2 divided by 2 1/2 gives you 1 hour and 4 divided by 2 1/2 gives you 1.6 dozen cookies

3 0
3 years ago
Calibrating a scale:
lana66690 [7]

Answer:

We conclude that the calibration point is set too high.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  1000 grams

Sample mean, \bar{x} =  1001.1 grams

Sample size, n = 50

Alpha, α = 0.05

Population standard deviation, σ = 2.8 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1000\text{ grams}\\H_A: \mu > 1000\text{ grams}

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{ 1001.1 - 1000}{\frac{2.8}{\sqrt{50}} } = 2.778

Now, z_{critical} \text{ at 0.01 level of significance } = 2.326

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. We accept the alternate hypothesis. We conclude that the calibration point is set too high.

6 0
3 years ago
Which parent function is f(x) = |x|?
Levart [38]

Answer:

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f(x)=|x|

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In essence, a negative value within the bars becomes positive, while a positive value remains positive.

6 0
3 years ago
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vichka [17]
So the expression is: 4 a^{2} + 2a + 4 a^{2} - 5

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two 4 a^{2}. 4 a^{2} + 4 a^{2} = 8 a^{2} The other terms can't be combined.

Your final answer should be 8 a^{2} +2a-5.
8 0
3 years ago
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