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satela [25.4K]
3 years ago
10

James bought a movie ticket and wants to pay for some friends. A ticket costs $6, and he has $38. How many friends can he pay fo

r, and how much money will he have left over?
Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

6 friends, $2 left

Step-by-step explanation:

He has $38 dollars, but each ticket costs $6.  Divide them to see how many tickets he can buy.

38/6 = 6 remainder 2

He can pay for 6 friends, and the remainder is $2.

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What is equivalent to 8/9 divided by 3/4
Pavel [41]

Answer:

Dividing by a fraction is the same as multiplying with the opposite of the fraction. 8/9 / 3/4=8/9×4/3=32/27=1 5/27.

Step-by-step explanation:

3 0
3 years ago
What is the completely factored form of this polynomial? 25x^2y^2-100
Law Incorporation [45]

Answer:

25x²y² - 100

= 25(x²y² - 4)

= 25(xy + 2)(xy - 2)

3 0
2 years ago
bright pools is building a rectangular pool at a new house. The perimeter of the pool has to be 94 feet and the length has to be
bekas [8.4K]

Answer:

\displaystyle 15\:feet\:wide \\ 32\:feet\:long

Step-by-step explanation:

{2 + 2w = l

{94 = 2w + 2l

94 = 2w + 2[2 + 2w]

94 = 2w + 4 + 4w

94 = 4 + 6w

- 4 - 4

_________

\displaystyle \frac{90}{6} = \frac{6w}{6}

\displaystyle 15 = w[Plug this back into both equations above to get the length of 32 feet]; \displaystyle 32 = l

I am joyous to assist you anytime.

4 0
3 years ago
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monu
Leokris [45]

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

8 0
3 years ago
What is the answer plz help
Serhud [2]
The answer is A) candy
7 0
3 years ago
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