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yarga [219]
3 years ago
15

The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, what is the probability of a boy being in the

class, P(boy)? SHOW WORK to verify your choice.
Mathematics
1 answer:
lukranit [14]3 years ago
7 0

Answer:

0.4

Step-by-step explanation:

If the ratio of boys to girls in a class is 2:3, then

  • there are 2x boys;
  • there are 3x girls.

If there are 18 girls in the class, then

3x=18\\ \\x=6

Thus, there are

  • 2\cdot 6=12 boys;
  • 3\cdot 6=18 girls;
  • 12+18=30 students in total.

The probability of a boy being in the class is

P=\dfrac{12}{30}=\dfrac{2}{5}=0.4

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

6 0
3 years ago
There are 28.35 g in an ounce and 2.21 lb in a kilogram. Juanita converts 3 kilograms to ounces. Is her conversion correct? Expl
GarryVolchara [31]

Answer:

3 kg = 105.82 ounces

Step-by-step explanation:

We have,

1 ounce = 28.35 g

and

1 kg = 2.21 lb

If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :

1 kg = 35.274 ounces

It means,

3 kg = 105.82 ounces

So, the value of 3 kg is equal to 105.82 ounces.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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(a) Rename h(x) as y  

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(b) Solve for x :  

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Neporo4naja [7]

Answer:

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