Step-by-step explanation:
A) Divide 1.68 into 3, the answer will be the answer to the question.
B) Times the answer to question a by 5
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Answer:
28 portraits
Step-by-step explanation:
Let's first figure out how many portraits Lamy can paint in 1 week, which is his <u>unit rate</u>. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.
In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is
= 14 paintings per week.
Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a <u>directly proportional relationship</u>, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.
Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.
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Answer:
B. -x + 8
Step-by-step explanation:
Given expression

Consider the numerator 
First, use distributive property:

Open the brackets:

Combine the like terms:

Again use distributive property:

Now, the expression is

Answer:
32 : 12 is the second equivalent ratio. = 48 : 18 is the third equivalent ratio. Therefore, the three equivalent ratios of 8 : 3 are 16 : 6, 32 : 12 and 48 : 18
Answer:
17 boys and 11 girls
Step-by-step explanation:
Create a system of equations where b is the number of boys and g is the number of girls:
b + g = 28
b = g + 6
Solve by substitution, by substituting the second equation into the first one:
b + g = 28
(g + 6) + g = 28
2g + 6 = 28
2g = 22
g = 11
So, there are 11 girls.
Since there are 6 more boys than girls, there are 17 boys.
So, there are 17 boys and 11 girls in the class.