Question

Which expression is equivalent to 8a + 20?
4(2a + 20), 4(2a + 5), 4(4a + 16), 4(4a + 5)

Answer 1

use the distributive property

A(B+C) = A*B+A*C

try to apply this logic to each answer choice and see which one equals 8a + 20 when expanded

let me know if you're having some difficulty or want to check your solution ^_^

Answer 2

im having some difficulty

Answer 3

that's ok, let me try to explain in more detail ^_^

let's start with the first answer choice:
4(2a + 20)

if we distribute the 4 we get 4 * 2a and 4 * 20 giving us 8a + 80 so that's not quite it

can you try distributing

4(2a + 5)

using the same line of logic?

Answer 4

i see know, thank you (:

Answer 5

good

so if we distribute 4(2a+5) we get 4*2a + 4*5 = 8a + 20

so 4(2a+5) is our solution

Answer 6

can u help me with this problem too.......
A theater company charges $7.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answer 7

well

we can add the children and adults to get (c+a) since they're all being charged the same price

the total revenue can be found by multiplying the ticket price by the total # of people in attendance

so putting everything together

something like 7.50(a+c)?

Answer 8

thank you

Answer 9

Zak and Ryan earn $60 per week for delivering pizzas. Zak worked for x weeks and earned an additional total bonus of $25. Ryan worked for y weeks. Which expression shows the total money, in dollars, that Zak and Ryan earned for delivering pizzas?

Answer 10

well, since both earn 60 per week delivering pizzas, we can multiply 60 * the number of weeks (in this case, x, and y) and then add on the 25 at the end

any ideas what this might look like as an expression?

Answer 11

60x + 25 + 60y

Answer 12

well done

Answer 13

thank you

Answer 14

Michelle did a survey in four butterfly parks and wrote the following observations:


Butterfly Park Survey
Park Number of Red Butterflies Total Number of Butterflies
A 33 60
B 36 78
C 40 89
D 24 59


Based on the survey, which park had the greatest percentage of red butterflies?

Answer 15

percentage of red butterflies = 100*(red butterflies)/(total butterflies)

so simply go through each answer choice, perform this calculation, and see which one gives the greatest result

Answer 16

im still confused
my teacher taught me that u have to multiply or divide it....or something like that. Do u have to multiply or divide it?

Answer 17

/ means divide

Answer 18

ok thank u:p

Answer 19

so the answer is park D

Answer 20

100*(24/59) = 40.7% but there's a park with a bigger percentage

try starting with park A again and re-doing the calculations

Answer 21

ok

Answer 22

oh park C

Answer 23

100*(40/89) = 44.9% but this isn't the highest percentage

hint: try park A. is it greater or less than 44.9%?

Answer 24

oooohhhhhhhh, OK

Answer 25

thank you

Answer 26

good, so park A has 55% which is greater than the others, so park A is the solution

Answer 27

Nadia surveyed 80 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?