Question

6.4g (l)

1. only \\(\frac{1}{5}\\) of a town’s 12,510 voters participated in a local election. to find the number of voters who participated, you could multiply 12,510 by—

a 0.15
b 0.2
c 0.5
d 1.5

6.5c (l)

1. a survey showed that 40% of veterinarians recommend brand a dog food. if 200 veterinarians were surveyed, how many recommended brand a?

a 50
b 80
c 120
d 160

6.7d (m)

1. which equation is equivalent to \\(29p + 32\\)?

a \\(32 - 29p\\)
b \\(32 + 29p\\)
c \\(32p + 29\\)
d \\(32(29 - p)\\)

Explanation:

Question 5

Step1: Convert fraction to decimal

To find the decimal equivalent of $\frac{1}{5}$, we perform the division: $1 \div 5 = 0.2$.

Step2: Determine the multiplier

Since we need to find $\frac{1}{5}$ of 12,510, we multiply 12,510 by the decimal equivalent of $\frac{1}{5}$, which is 0.2.

Step1: Convert percentage to decimal

40% can be written as a decimal by dividing by 100: $40\% = \frac{40}{100} = 0.4$.

Step2: Calculate the number of veterinarians

To find 40% of 200, we multiply 200 by 0.4: $200 \times 0.4 = 80$.

Step1: Recall the commutative property of addition

The commutative property of addition states that for any two numbers $a$ and $b$, $a + b = b + a$.

Step2: Apply the property to the given expression

For the expression $29p + 32$, using the commutative property of addition, we can rewrite it as $32 + 29p$.

Answer:

B. 0.2

Question 6