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padilas [110]
3 years ago
7

The local high school had 1,000 bottles of water on hand. The school issued 1⁄4 of the supply to the 9th grade, 1⁄5 of the suppl

y to the 10th grade, and 2⁄5 of the supply to the 11th grade. How many bottles remained for the 12th grade?
Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

150

Step-by-step explanation:

Hope this helps!

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Which are correct interpretations of the expression n + 5? Check all that apply.
garri49 [273]

Step-by-step explanation:

5 more than a number, the sum of a number and 5, the total of a number and 5,

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3 years ago
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Solve. 3(4x + 2x) = 8
shepuryov [24]
If you would like to solve the equation 3 * (4 * x + 2 * x) = 8, you can do this using the following steps:

3 * (4 * x + 2 * x) = 8
3 * 6 * x = 8
18 * x = 8    /18
x = 8/18
x = 4/9

The correct result would be 4/9.
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4 years ago
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Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?
Neko [114]

Answer:

18

Step-by-step explanation:

Since he does 90 cars-----5 days

x cars--------1 day

we multiply 90 by 1 then over 5

5 0
2 years ago
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104 pounds requires 156 milligrams of medicine what is the weight of a patient who requires 207 milligrams of medicine
Lubov Fominskaja [6]

Answer:

138 pounds

Step-by-step explanation:

Let the required weight of the patient be x pounds.

We have that,

156 milligrams of medicine is required for a patient weighing 104 pounds.

Then, 207 milligrams of medicine will be required for a patient having weight as shown below,

Weight of the patient = \frac{104 \times 207}{156}

i.e. x = \frac{21528}{156}

i.e. x = 138

Hence, the patient needing 207 milligrams of medicine will have the weight 138 pounds.

5 0
3 years ago
Factor the given expression. 64^3-343
Mashcka [7]

63³-343 = 261801

Factor the following integer:

261'801

The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.

261801 = 9×29089:

261801 = 9×29089

9 = 3^2:

261801 = 3^2×29089

Because 29089 is odd, only test odd numbers for divisibility.

29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.

29089 = 19×1531 which means 29089 is divisible by 19:

261801 = 3^2×19×1531

3 is prime:

261801 = 3^2×19×1531

Because 19 is odd, only test odd numbers for divisibility.

19 is not divisible by 3.

Since 19 is not divisible by any integer up to 4, it is prime:

261801 = 3^2×19×1531

Because 1531 is odd, only test odd numbers for divisibility.

1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.

Since 1531 is not divisible by any integer up to 39, it is prime:

261801 = 3^2×19×1531

There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:

Answer: 261801 = 3^2×19×1531


5 0
3 years ago
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