Answer: Review terms, factors, and coefficients, and try some practice problems. ... Terms. Terms are single numbers, variables, or the product of a number and variable. ... What is a variable? Terms ... So in the expression: 12x+ 19y -1, is the constant -1 or 1? ... In the term "4x", 4 would be the coefficient in the algebraic expression.
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
CF of 24<span> = 1, 2, 3, 4, 6, 8, 12, </span>24<span>. CF of </span>64<span> = 1, 2, 4, 8, 16, 32, </span>64<span>. CF of </span>88<span> = 1, 2, 4</span><span>, 8, 11, 22, 44, </span><span>88
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The statement is "8 less than the product of 6 and a number, x." "Less than" indicates subtraction - you will subtract 8 from a number. That number is "the product of 6 and a number, x." "The product" of these numbers will result with multiplication - you are multiplying 6 and x.
All this gives you the expression: 6x - 8.
