Question

HELP

Answer 1

@Vocaloid

Answer 2

\(\frac{ 1 }{ 4 }y \) and -1\(\frac{ 3 }{ 4 }y \) are like terms so combine these by evaluating

\(\frac{ 1 }{ 4 }y \) -1\(\frac{ 3 }{ 4 }y \) = ? (step 1)

after that, combine the other terms

1\(\frac{ 1 }{ 2 }y \) + 2 - 12 = ? (step 2)

Answer 3

how do i do that?

Answer 4

\(\frac{ 1 }{ 4 } \) -1\(\frac{ 3 }{ 4 } \) = ?

first convert 1 and 3/4 to a mixed number by multiplying/adding in this direction:

Answer 5

so
\(\frac{ 1 }{ 4 } \) -\(\frac{ 7 }{ 4 } \) = ?

Answer 6

good, so
\(\frac{ 1 }{ 4 }y \) -1\(\frac{ 3 }{ 4 }y \) = -1\(\frac{ 1 }{ 2 }y \)

after that, combine the other terms

1\(\frac{ 1 }{ 2 } \) + 2 - 12 = ? (step 2)

by first converting 1 and a half to a mixed number, then just adding the other terms

Answer 7

\[-1\frac{ 1 }{ 2 }\]

Answer 8

?

Answer 9

we can convert 2 and 12 to 4/2 and 24/2

so 3/2 + 4/2 - 24/2 = ?

Answer 10

that was the first step, -1 and a half

we have moved on to the second step

what is 3/2 + 4/2 - 24/2 = ?

Answer 11

-1 1/2?

Answer 12

let's combine the numerators

3 + 4 - 24 = ?

Answer 13

7-24

Answer 14

and 7-24 = ?

Answer 15

17

Answer 16

should be -17 but you're getting the idea

so 3/2 + 4/2 - 24/2 = -17/2 = -8\(\frac{ 1 }{ 2 }\)

so putting everything together

-1\(\frac{ 1 }{ 2 }\)y -8\(\frac{ 1 }{ 2 }\) = your answer

Answer 17

is my answer?

Answer 18

yes

Answer 19

gcf is 12

divide both terms by 12 and those go into the parentheses

60x/ 12 = ?

Answer 20

0.2?

Answer 21

what is 60/12 = ?

Answer 22

5

Answer 23

good so 60x/12 is just 5x

24/12 = 2

so we factor to get

12(5x-2) = your ans

Answer 24

(1/3)a - (1/6)a = ?

Answer 25

good just don't forget the a

so (1/6)a

-5 - 3 = -8

so (1/6)a - 8 = your answer = C

Answer 26

add 3 to both sides

8 = (1/5)x

then solve for x

Answer 27

so i do 1 divided by 5?

Answer 28

since we want x by itself, we do the opposite of what is being done to x

since x is being divided by 5, we multiply both sides by 5 to get rid of the (1/5)

so 8*5 = x, so x = 40

Answer 29

divide both sides by -3 then subtract 5 from both sides

lmk if you get stuck

Answer 30

huh?

Answer 31

divide the left side by -3 and the right side by -3

then subtract 5 from the left side and subtract 5 from the right side

Answer 32

-3(x+5) divided by -3 = ?

Answer 33

i have no clue

Answer 34

then we move to the right side

-9/-3 = 3

then

(x+5) = 3

solve for x

Answer 35

3?

Answer 36

@Vocaloid

Answer 37

(x+5) = 3

subtract 5 from each side

Answer 38

4 and -2?

Answer 39

x + 5 - 5 = x

3 - 5 = -2

x = -2 = your answer

Answer 40

let b = the number of billy's cars
let t = the number of tom's cars

t = b + 5

if t = 12 then what does b equal?

Answer 41

7?

Answer 42

awesome, so billy has 7 cars

your answer is 7

Answer 43

Three sevenths of a children's choir are boys. There are 12 boys in the choir.

How many children in total are in the choir?

Answer 44

@Vocaloid

Answer 45

(3/7)x = 12

solve for x

Answer 46

12 + 3 = 15
12 + 7 = 19

Answer 47

@Vocaloid

Answer 48

x is being multiplied by (3/7) so we must divide both sides by (3/7) to isolate x

12/(3/7) = ?

Answer 49

idk

Answer 50

to divide by a fraction, flip the numerator/denominator and change the division sign to a multiplication sign

12 * (7/3) = ?

Answer 51

idk

Answer 52

to multiply by a fraction, multiply across the numerator and divide by the denominator

12 times 7, then divided by 3 = ?

Answer 53

28

Answer 54

good, so x = 28

Answer 55

A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts.

How much does the mechanic charge per hour for labor?

Answer 56

subtract total cost - the cost of the parts

then divide the result by 3 since there are 3 hours

Answer 57

42.176...

Answer 58

@Vocaloid

Answer 59

(220.28-126.53)/3 = ?

Answer 60

178.103....

Answer 61

220.28-126.53 = ?

Answer 62

93.75

Answer 63

good, now divide that by 3

Answer 64

31.25

Answer 65

good, so 31.25 = your ans

Answer 66

Holly bought 23 tickets to the baseball game. She got a group rate that gave her $4 off of the regular ticket price for each ticket. The total cost was $184.

What was the regular price for each ticket?

Answer 67

let regular price = x

discounted price = x - 4

total cost = number of tickets * 23

so

184 = 23(x-4)

solve for x

Answer 68

how?

Answer 69

remember what we did before, we divided both sides by a number to isolate x

Answer 70

since we have 23(x-4) we want to divide both sides by 23 first

Answer 71

so... start by dividing both sides by 23...

Answer 72

5.75 and 23

Answer 73

184/23 = ?

Answer 74

8

Answer 75

good, and 23(x-4)/23 is just (x-4)

so

x - 4 = 28

x = ?

Answer 76

32?

Answer 77

whoops not 28 just 8

(x-4) = 8

x = ?

Answer 78

12?

Answer 79

good, so your answer = 12

Answer 80

Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.

Which statement describes how many more batches of cookies Michael can make?


Michael can make fewer than 13 batches of cookies.

Michael can make fewer than 14 batches of cookies.

Michael can make fewer than 15 batches of cookies.

Michael can make fewer than 26 batches of cookies.

Answer 81

@Vocaloid

Answer 82

he wants to use 30 cups of flour max

he has already used 4

so he has 26 left

if each batch of cookies needs 2 cups of flour how many batches can he make w/ 26 cups total?

Answer 83

60?

Answer 84

here we would use division

26/2 = ?

Answer 85

13

Answer 86

good, so "fewer than 13" option 1