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ryzh [129]
3 years ago
15

Between which pair of numbers is the exact product of 379 and 8

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
3030 and 3040 are the pair
const2013 [10]3 years ago
3 0
3031, and 3033
 is my answer

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zepelin [54]
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The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug
ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0
3 years ago
Ling worked three more hours on Tuesday than she did on Monday. On Wednesday, she worked one hour more than twice the number of
Nina [5.8K]

Let x be the number of hours ling work on monday.

We know that she worked three more hours on tuesday that in monday, this can be express as :

 x+3

We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:

2x+1

The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :

5x+2\\

Now , once we have all the expressions we add the expressions of the days and equate them to the total

x+(x+3)+(2x+1)=5x+2

Now we solve the equation

x+(x+3)+(2x+1)=5x+2\\x+x+3+2x+1=5x+2\\4x+4=5x+2\\5x-4x=4-2\\x=2

Therefore , she worked 2 hours on monday.

PLEASE MARK ME AS BRAINLIEST

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The slope for the graph is 2/3 and for the equation the slope is 3/2
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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

Z = \frac{X - \mu}{\sigma}

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

8 0
3 years ago
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