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mezya [45]
3 years ago
5

The ratio of boys to girls is 2 to 3. If there are 90 students in the band, how many of them are boys?

Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

36

Step-by-step explanation:

We can make an algebric equation.

2x+3x=90

5x=90

x=18

Since we wanna find the boys, we multiply the boys ratio with our x value.

2x=2•18=<u>36 boys</u>

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

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z = y - 4 = 15 - 4

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8 0
3 years ago
What is the simplified form of (6^2+ 4) - 15?
TEA [102]

Answer:

25

Step-by-step explanation:

(6^2+4)−15

(36+4)−15

40−15

25

6 0
3 years ago
The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly ch
Simora [160]

Answer:

The probability is 0.31

Step-by-step explanation:

In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.

Firstly, we calculate the standard score of $86 using the mean and the standard deviation.

Mathematically;

z-score = (x-mean)/SD

where x = 86, mean = 84 and SD = 4

z-score = (86-84)/4 = 2/4 = 0.5

Hence, we want to calculate P(z ≥ 0.5)

Using standard table

P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854

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The reduced fee for each additional round played is $3
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