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Vesna [10]
2 years ago
6

Two times the quantity of seven less than one-fourth of a number is equal to fout

Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0

The unknown number is 108.

Step-by-step explanation:

Step 1:

Assume the unknown number is x.

We create an equation from the given data.

One-fourth of the number is \frac{1}{4} x, seven less than one-fourth of the number is \frac{1}{4} x -7. Two times the quantity of seven less than one-fourth of a number is therefore 2(\frac{1}{4} x -7).

One-third of the number is \frac{1}{3} x, four more than one-third of the number is given by \frac{1}{3} x + 4.

Step 2:

We substitute both equations to determine the value of x.

2(\frac{1}{4} x -7) = \frac{1}{3} x + 4.

(\frac{2}{4} x -2(7)) = \frac{1}{3} x + 4.

\frac{1}{2} x -14 = \frac{1}{3} x + 4.

\frac{1}{2} x - \frac{1}{3} x = 4+14 = 18.

\frac{1}{6} x = 18.

x= 6(18) = 108.

So the unknown number is 108.

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The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

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Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0
2 years ago
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula P
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Answer:

a for saturn is 9.55 astronomical units

Step-by-step explanation:

Here, we are interested in calculating the distance from the sun.

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a = 29.5^2/3

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A survey on healthy choices was given to gym members at Work It Out. The results
irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank  protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank   protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members  who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

                                        Medication   Not Medication      Total

Drank shakes                       27                   63                      90

Doesn't Drank shakes          1                      9                        10

Total                                      28                   72                     100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: \frac{72}{100}=0.72

Hence, the correct option is 4) 0.72.

5 0
2 years ago
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