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zepelin [54]
3 years ago
8

For sisters bought a present for their father. They recieved a 10% discount on the original price of the gift . after the discou

nt wss taken , each sister paid $9.00. What was the original price of the gift
Mathematics
1 answer:
Basile [38]3 years ago
7 0
Since they each paid the same amount, we can figure out that 9*4=36 dollars is the price of the gift. Next, since there was a 10% discount (or 0.1 by moving the decimal 2 spots to the left), we can say that the original gift price is x and 
x-0.1*x=0.9*x due to that we subtract the 10% discount (and it's 10% of the original price). In addition, the sisters paid 0.9*x, which is 36. Dividing both sides by 0.9, we get x=40
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mafiozo [28]

Answer:

y = -5x-21

Step-by-step explanation:

Slope of parallel lines is the same.

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y = mx + b

Substitute the slope and the point given

-1 = -5(-4) + b

Solve for b

-1 = 20 + b

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3 years ago
5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440​
SOVA2 [1]

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

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3 years ago
9. A band director wants to form a committee of 4 parents from a list of 45 band parents.
Alex73 [517]

Answer:

Part (A): The number of ways to select 12 jurors are 86493225.

Part (B): The number of ways to select 2 alternates are 306.

Part (C): Part (a) is an example of combination  and Part (a) is an example of permutation

Step-by-step explanation:

Consider the provided information.

A band director wants to form a committee of 4 parents from a list of 45 band parents.

Part (A):  How many different groups of 4 parents can the band director select?

Since order doesn't matter so we will use combination.

Use the formula for combination ^{n}C_{r}=\frac{n!}{r!(n-r)!}

Substitute n=45 and r=4 in above formula.

^{45}C_{4}=\frac{45!}{4!(45-4)!}

^{45}C_{4}=\frac{45!}{4!41!}

^{45}C_{4}=148995

Hence, the number of ways are 148995.

Part (B) How many different ways can the band director select 4 parents to serve in the band parents’ association as president, vice president, treasurer, and secretary?

Since the order matter so we will use permutation:

The formula for permutation is:  ^{n}P_{r}=\frac{n!}{(n-r)!}

Substitute n=45 and r=4 in above formula.

^{45}P_{4}=\frac{45!}{(45-4)!}

^{45}P_{4}=\frac{45!}{41!}

^{45}P_{4}=3575880

Hence, the number of ways are 3575880.

Part (C) . Explain the difference between parts (a) and (b) in terms of how you decided to solve each part.

Part (A) is an example of number of combination where order doesn't matter.

Part (B) is an example of permutation where order matter.

7 0
3 years ago
Lupita brought seven pounds of pretzels at a local wholesaler for 16.80 her friend Charles about 5 pounds of pretzels at the sup
Mashutka [201]

Answer:

Step-by-step explanation:

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Her friend, Charles about 5 pounds of pretzels at the supermarket 12.75. This means that the rate at which Charles bought one pound of pretzel at the supermarket would be

12.75 / 5 = $2.55 per pounds of pretzels

Charles's reasoning is wrong because the rate at which he bought one pound of pretzel is higher than that of Lupita's

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yulyashka [42]

The slope is already given in the question, so we only ned to solve for the y-intercept using  y = mx + b.

4 = 3(1) + b

4 = 3 + b

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1 = b

Now, write the equation in slope-intercept form.

y = 3x + 1

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Best of Luck,

Wolfyy :)

4 0
3 years ago
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