help!

- anonymous

help!

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- anonymous

Andrew is showing his work in simplifying (−5.7 + 2.2) − 1.1.
Step 1: (2.2 − 5.7) − 1.1
Step 2: 2.2 − (5.7 + 1.1)
Step 3: 2.2 − (6.8)
Step 4: −4.6
Which statement is true?
In step 1, Andrew used the commutative property.
In step 2, Andrew used the distributive property.
In step 3, Andrew used the associative property.
In step 4, Andrew's answer is incorrect.
@Vocaloid

- Vocaloid

well, he switched the 2.2 and the -5.7, do you know what property that is?

- anonymous

commutative?

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## More answers

- Vocaloid

yup!

- anonymous

so A is the answer?

- anonymous

@Vocaloid

- Vocaloid

yes

- anonymous

##### 1 Attachment

- Vocaloid

two hints:
1. subtract the two numbers
2. distance must be positive
that should be enough to find the answer

- anonymous

C?

- Vocaloid

subtract...

- anonymous

A?

- anonymous

@Vocaloid

- Vocaloid

yup, much better

- anonymous

)Which statement best explains the value of 12 − (−4)?
The additive inverse of −4 is −4, so 12 − (−4) = 16.
The additive inverse of −4 is −4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 8.
The additive inverse of −4 is +4, so 12 − (−4) = 16.

- Vocaloid

well, when we take the additive inverse, we switch the sign
so -4 becomes +4 and 12 -(-4) becomes 12 + 4

- anonymous

d?

- Vocaloid

yes

- anonymous

##### 1 Attachment

- anonymous

@Vocaloid

- Vocaloid

just multiply -3/16 times 4

- anonymous

-0.75

- Vocaloid

as a fraction, please...

- anonymous

oh okay sorry

- anonymous

-3 /4

- Vocaloid

yes, that's your answer

- anonymous

Where is the answer to the expression 5 − 9 located on a horizontal number line?
9 units to the left of 5
9 units to the right of 5
4 units to the right of 5
4 units to the left of 5

- anonymous

@Vocaloid

- anonymous

-4

- Vocaloid

actually, let's think of it another way
5-9 means start at 5 and go left 9

- anonymous

so A?

- anonymous

@Vocaloid

- anonymous

@Vocaloid

- Vocaloid

right

- anonymous

The total charge on 4 particles is −36 units. All the particles have the same charge.
What is the charge on each particle?
−9 units
−8 units
8 units
9 units

- Vocaloid

divide: total charge/number of particles

- anonymous

-9? @Vocaloid

- Vocaloid

yes

- anonymous

##### 1 Attachment

- Vocaloid

well, -6-(-4) = ?

- anonymous

-2 @Vocaloid

- Vocaloid

right, now take a look at your answer choices and see which one matches -2

- anonymous

b?

- Vocaloid

right

- anonymous

Why is 1 + (−5) equal to −4?
Because it is 5 units to the right of 1 on a horizontal number line
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line

- anonymous

@Vocaloid

- anonymous

@Vocaloid

- anonymous

@Vocaloid

- anonymous

@Vocaloid

- Vocaloid

1 + (-5) means start at 1 and go left 5

- anonymous

d? @Vocaloid

- Vocaloid

right

- anonymous

Which fraction is equivalent to negative 7 over 8?
8 over negative 7
7 over negative 8
negative 7 over negative 8
7 over 8

- Vocaloid

hint: move the negative sign to the denominator

- anonymous

b?

- anonymous

@Vocaloid

- Vocaloid

right

- anonymous

##### 1 Attachment

- anonymous

@Vocaloid

- Vocaloid

alright, we start with 35, and take away the price of the book and magazine
using additive inverses, our equation should look like:
35 + (-price of book) + (-price of magazine)

- anonymous

i got 23 @Vocaloid

- Vocaloid

now look at the answer choices and see which one matches...

- anonymous

c? @Vocaloid

- Vocaloid

yes

- anonymous

@Vocaloid

##### 1 Attachment

- Vocaloid

well, all you need to do is divide the two fractions
(-6/3) divided by (2)/(-9) = ?

- anonymous

@Vocaloid

##### 1 Attachment

- Vocaloid

look at the answer choices first
now, our answer will be (total miles) divided by (distance per day)
which answer choices matches that description?

- anonymous

b

- Vocaloid

yes

- anonymous

Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is 4 over 3 inches thick?
28, because the number of magazines is 64 over 3 ÷ 4 over 3
27, because the number of magazines is 64 over 3 • 4 over 3
16, because the number of magazines is 64 over 3 ÷ 4 over 3
43, because the number of magazines is 64 over 3 ⋅ 4 over 3

- anonymous

@Vocaloid

- Vocaloid

hint: number of magazines = (width of shelf)/(thickness of magazine)

- anonymous

A? @Vocaloid

- Vocaloid

check your math again

- anonymous

D

- Vocaloid

(64/3) divided by (4/3) = ?

- anonymous

##### 1 Attachment

- Vocaloid

plug each of them on a calculator and pick the two that don't repeat

- anonymous

what do you mean.. can you give me an example please?
@Vocaloid

- Vocaloid

start with the first number... 7/4
type 7/4 into a calculator and see if the decimal stops or repeats

- anonymous

Abel opened a bank account. He deposited $63.50 into his account every month for 20 months. He used $40.50 every month to pay for comic books. After 20 months, he used 1 over 2 of the total money left in his account to go to a comic book convention. What is the total amount of money Abel spent to go to the convention?
$230.00
$248.00
$460.00
$920.00
@Vocaloid

- Vocaloid

ok... he saves 63.50 and spends 40.50 per month, so how much money does he have left every month?

- anonymous

what is the equation for me to solve @Vocaloid

- Vocaloid

I want you to think hard about this one...
he saves $63.50 and spends $40.50... how much money does he have left?

- anonymous

ok i got c @Vocaloid

- Vocaloid

nope, not quite...
he has 460 in his account and he spends half on the convention, so how much does he spend on the convention?

- anonymous

b? @Vocaloid

- Vocaloid

check again... what is half of 460?

- anonymous

A?

- Vocaloid

right

- anonymous

Michelle earned $150 during the summer for babysitting. She bought 2 packs of Blu-ray disks worth $65 each using her babysitting money. How much money was left after she bought the Blu-ray disks?
$20
$85
$215
$280

- Vocaloid

what do you think? she starts with 150 and buys two items worth 65 each

- anonymous

Tiara's gym membership, which is $42, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
(−$42) ÷ 12
(−$42) + 12
(−$42) − 12
(−$42) ⋅ 12

- anonymous

@Vocaloid

- Vocaloid

total deductions = (-monthly deduction)*number of months

- anonymous

okay

- anonymous

An underground subway elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground.
How many meters below the ground is the elevator after 2 minutes?
–18 meters
–9 meters
–4.5 meters
–22.5 meters
@Vocaloid

- Vocaloid

first calculate 12% of 75
(0.12*75) = ?

- anonymous

i got 9 @Vocaloid

- anonymous

@Vocaloid

- Vocaloid

right, so in 1 minute it is -9 meters
now, what about 2 minutes?

- anonymous

-18

- anonymous

@Vocaloid

- Vocaloid

right

- anonymous

@Vocaloid

##### 1 Attachment

- Vocaloid

step 1, the division changed to multiplication without flipping the second fraction

- anonymous

@Vocaloid

##### 1 Attachment

- Vocaloid

(3/5) divided by (-4/9) = ?

- anonymous

7/45

- anonymous

@Vocaloid

- Vocaloid

check your math again
rmember, when we divide two fractions, we flip the second fraction over
(3/5) / (-4/9) = (3/5)*(9/4) = ?

- Vocaloid

(3/5) / (-4/9) = (3/5)*(-9/4) = ?

- anonymous

oh! i got 27/20

- anonymous

is it negative or postitive?

- Vocaloid

(3/5)*(-9/4) = -27/20 because of the negative sign on -9

- anonymous

ok!

- anonymous

##### 1 Attachment

- anonymous

@Vocaloid

- Vocaloid

hint: the negative sign disappeared somewhere, what step did it disappear in?

- anonymous

step 2 @Vocaloid

- anonymous

@Vocaloid

- Vocaloid

correct, so there's the error

- anonymous

Tucker earned $12.50 walking dogs on Saturday. On Sunday, he spent $6.95 when he purchased a movie ticket. He needed to borrow money from a friend to complete his purchase of a snack. How much money did Tucker pay for the snack if he owes his friend $5?
$5.55
$7.50
$10.55
$24.45
@Vocaloid

- anonymous

@Vocaloid

- Vocaloid

alright... ignore the snack for now, just answer this first
he started off with 12.50 and spent 6.95, how much does he have left?

- anonymous

5.55 @Vocaloid

- Vocaloid

right, now we need to add 5 to that to find the price of the snack

- anonymous

##### 1 Attachment

- anonymous

@Vocaloid

- Vocaloid

again, we'll be using division
number of servings = (total number of cups)/(serving size)
look at the answer choices and see which one matches

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