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3 years ago

On a number line what is the distance between -3/2 and 6?

Mathematics

2 answers:

sesenic [268]3 years ago

6 0

Answer:

7.5 units

Step-by-step explanation:

The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.

This can be shown as:

|-3/2 - 6| =
|-1.5 - 6| =
|-7.5| =
7.5

| 6 - (-3/2)| =
|6 + 1.5| =
|7.5| =
7.5

Arada [10]3 years ago

4 0

Answer:

15/2 or 7.5

Step-by-step explanation:

Distance = x_2 - x_1

Distance = 6 - (-3)/2

Distance = 6 + 3/2

Distance = 12 + 3/2

Distance = 15/2 or 7.5

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Is 12/42=10/35 a true proportion

olya-2409 [2.1K]

Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer: 2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer: 2/7

3 0

3 years ago

Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5

vodka [1.7K]

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Answer:

$6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

state tax + city tax + social security + medicare

= 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

gross(1 -13.65%) -112 = 5161.28

gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

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2 years ago

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Describe the relationship of the organelles of the endomembrane system?

scZoUnD [109]

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3 years ago

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What do you think about geometry?

Brums [2.3K]

Answer:

I think its better than other types of math.

Step-by-step explanation:

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3 years ago

. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu

jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0

2 years ago