Seven more than five times a number x is at least thirty two
1 answer:
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Answer:
x = 6.67
Step-by-step explanation:
Rewrite the equation:
-4y = -3x +20
y =
Find where y = 0
0 =
5 =
x = 6.67
Hope it helps! (:
26% of all the employees attend night school
Step-by-step explanation:
The given is:
- Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school
- 40 percent of all employees are male
We need to find what percent of all the employees attend night school
Assume that the number of all employees is x
∵ The company has x employees
∵ 40 percent of all employees are male
- Find 40% of x
∵ 40% × x = × x = 0.4 x
∴ The number of the male employees is 0.4 x
- Subtract 0.4 x from x to find the number of the female employees
∵ The number of female employees = x - 0.4 x = 0.6 x
∴ The number of the female employees is 0.6 x
∵ 20 percent of the male employees attend night school
- Multiply 20% by 0.4 x to find the number of male employees
who attend night school
∴ The number of male who attend night school = 20% × 0.4 x
∴ The number of male who attend night school = × 0.4 x
∴ The number of male who attend night school = 0.08 x
∵ 30 percent of the female employees attend night school
- Multiply 30% by 0.6 x to find the number of female employees
who attend night school
∴ The number of female who attend night school = 30% × 0.6 x
∴ The number of male who attend night school = × 0.6 x
∴ The number of male who attend night school = 0.18 x
Add the number of male and female who attend night school
∵ 0.08 x + 0.18 x = 0.26 x
∴ The number of male and female who attend night school is 0.26 x
- Find the percentage of 0.26 x of x
∵ × 100% = 26%
∴ 26% of all the employees attend night school
26% of all the employees attend night school
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The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.
<h3>What is ratio?</h3>Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.
The ratio of the heights of these pyramids is given by:
Ratio = Height of pyramid A : Height of pyramid B
Ratio = (3V/lw) : (V/lw)
Ratio = 3 : 1.
The ratio of the base areas of these pyramids is given by:
Ratio = Base area of pyramid A : Base area of pyramid B
Ratio = (3a)² : a²
Ratio = 9a : a
Ratio = 9 : 1.
The ratio of the volumes of these pyramids is given by:
Ratio = Volume of pyramid A : Volume of pyramid B
Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3
Ratio = 27 : 1.
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