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s2008m [1.1K]
4 years ago
8

Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the car

ds they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?
Mathematics
1 answer:
Sever21 [200]4 years ago
6 0

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

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How many oz of nuts are there in a box that holds 3.2 pounds
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Answer:

51.2 oz

Step-by-step explanation:

Stoichiometry

3.2 lb x 16 oz

          ÷ 1 lb      =51.2 oz

3 0
4 years ago
Which of the following is the equation of a line that is perpendicular to a line that goes through points at (–1, 5) and (1, –3)
const2013 [10]

Answer:

C

Step-by-step explanation:

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8 0
3 years ago
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
pishuonlain [190]

Answer:

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{12.5}{\sqrt{3839}} = 0.3

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.

The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.

The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.

7 0
3 years ago
Read 2 more answers
What is
arsen [322]

9514 1404 393

Answer:

  B.  17°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides. Here, the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(N) = PQ/PN

  sin(N) = 4/14

  N = arcsin(4/14) ≈ 16.6° . . . . use the inverse function to find the angle

  N ≈ 17°

8 0
3 years ago
Can you anser the question number 7
goldfiish [28.3K]

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = \frac{1}{2}x

We need to find the length and width.

The formula used is: Perimeter\:of\:rectangle=2(Length+Width)

Putting values and finding value of x

Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = \frac{1}{2}x = \frac{64}{2} = 32

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

5 0
3 years ago
Read 2 more answers
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