Answer:
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Step-by-step explanation:
First, you can convert the mixed number
into a decimal number. To do this, you need to divide the numerator (which is 1) by the denominator (which is 2) of the fraction:
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Now you must add 0.5 to the whole number part. Then:
In order to find the ratio of cleaner to water, you must divide 1.5 cups of cleaner by 12 cups of water.
Therefore, the ratio is:
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Answer:
4
Step-by-step explanation:
Variable: X = Unknown Number
2x + 4 = x + 8
2x - x = 8 - 4
x = 4
Check:
2(4) + 4 = 4 + 8
8 + 4 = 12
12 = 12
Coefficient of 14x is 14
Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.
Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
There are 30 students in the classroom; 40% are men and 60% are women. How many men and women are in the classroom?
40/100 = 2/5 60/100 = 3/5 30 ÷ 5 = 6 3 × 6 = 18 so 18 are women 2 × 6 = 12
so there are 12 men.