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Zolol [24]
3 years ago
12

A school bought several pairs of skis, each costing $40 and several pairs of skates, each costing $50. The cost of the whole pur

chase was $600. How many pairs of skates were purchased if there were 3 more pairs of skates than pairs of skis?
Mathematics
2 answers:
EleoNora [17]3 years ago
4 0
5 skis and 8 skates
y=ski
x=skates
x=y+3
40y+50x=600
40y+50(y+3)=600
y=5
x=8

makvit [3.9K]3 years ago
4 0
Let the number of pair of skis and skates bought be x and y respectively. So that,
40x+50y = 600

There are 3 more pairs of skates. Therefore,
y-3 = x=> y=x+3
Substituting,

40x+50(x+3) =600 => 40x+50x+150=600 => 90x=600-150 = 450
x= 450/90 = 5 pairs of skis
y= x+3 =5+3 = 8 pairs of skates
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You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8
Firlakuza [10]

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

  • Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

  • Thus, Margin of error  = Z_{critical} × σ / √n  (Z_{critical} at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

8 0
3 years ago
Can anyone please help me?
DerKrebs [107]

Answer:

B. x =1 , y = -5

Step-by-step explanation:

So, what we can do is to simply plug in all of the equations and see which one fits. Equation: x - y = 6

A. x =1 , y = -6

1 -(-6) = 6

1 + 6 = 7

A would be incorrect.

B. x = 1, y = -5

1 - (-5) = 6

1 + 5 = 6

Therefore, B would be correct.

5 0
3 years ago
Read 2 more answers
What is 12 - 8 and 3/4
kenny6666 [7]
12-8 is 4 and 3/4 is 75% if that is what youre asking but specify
6 0
3 years ago
Read 2 more answers
Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black
horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

Brown socks =4

Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.

5 0
3 years ago
8+-3x=54 still need some help with this
Naya [18.7K]

Subtract 8 from 54. ( -3x = 46 ) Divide -3 from 46. Your answer should be about -15.3

4 0
3 years ago
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