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AVprozaik [17]
4 years ago
10

Phil has 50 nickels and dimes worth $4.15. How many dimes does he have

Mathematics
1 answer:
Katen [24]4 years ago
7 0

Answer: Phil has 33 dimes, and 17 nickels

Step-by-step explanation:

Let number of nickels be X, and dimes be Y.

X + Y = 50.

Since nickels stand for 5 cents, or 0.05 dollars, and dimes are 10 cents, or 0.10 dollars, we can also write the total worth as:

0.05*X + 0.10*Y = 4.15

Multiply this last equation by 20:

20*0.05*X + 20*0.10*Y = 20*4.15

Simplify:

X + 2*Y = 83

Subtract the first equation (X + Y = 50) from this one:

Y = 33.

Thus Phil has 33 dimes, and 17 nickels.

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Which of the following is the prime factorization for the number 2520?
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Each figure shows a triangle with one of its angle bisectors.
OLga [1]

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

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x = 10/2

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3 years ago
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores
allochka39001 [22]

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

3 0
3 years ago
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