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Kamila [148]
3 years ago
9

Julia spent $60 on a book. the cost of the book was $20 less than twice what she spent on a backpack. how much did the backpack

cost? express your answer numerically in dollars.mastering chemistry
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
If we assume that Jane spent $ x on the black pack 
Then the cost of the book is $ 20 less that twice the cos of the black pack,
Then twice the cost of black pack is 2x, then less $ 20 we get  2x-20
 Hence , 60 =2x-20
           solving for x 
                   x = 40
Therefore, the cost of the black pack is $40.
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12:32 is simply 3:8 but divided by 4 to both sides.
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a teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
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Yes

Step-by-step explanation:

Given that a teacher prepares 26 tiles with 5 vowels numbered 1 and 21 consonants numbered 2.

The probability for drawing vowel =\frac{5}{26}

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If number of trials is atleast 30 we can expect reliable results.

Here the results are recorded for 120 times at random.

Since number of trials is large, we can expect a reliable and accurate results representing the actual probability.

This is because more the number of trials, the less would be the margin of error i.edeviationfrom the expected probability would be minimum

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Finding Present Value In Exercise,complete the table to determine the amount of money P that should be invested at rate r to pro
valkas [14]

Answer:

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $100000.

1) When t is 1,

100000 = P(1+0.04/12)^12×1

100000 = P(1+0.0033)^12

100000 = P(1.0033)^12

P = 100000/1.04

P = $96154

2) When t is 10

100000 = P(1+0.04/12)^12×10

100000 = P(1+0.0033)^120

100000 = P(1.0033)^120

P = 100000/1.485

P = $67340

3) When t is 20

100000 = P(1+0.04/12)^12×20

100000 = P(1+0.0033)^240

100000 = P(1.0033)^240

P = 100000/2.2

P = $45455

4) When t is 30

100000 = P(1+0.04/12)^12 × 30

100000 = P(1+0.0033)^360

100000 = P(1.0033)^360

P = 100000/3.274

P = $30544

5) When t is 40

100000 = P(1+0.04/12)^12 × 40

100000 = P(1+0.0033)^480

100000 = P(1.0033)^480

P = 100000/4.862

P = $20568

6)When t is 50

100000 = P(1+0.04/12)^12 × 50

100000 = P(1+0.0033)^600

100000 = P(1.0033)^600

P = 100000/7.22

P = $13850

5 0
3 years ago
Caleb drives for 3 hours at 15 mph. how far does he travel
atroni [7]
He travels approximately 45 miles
7 0
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Pretty pretty please if ur good at geometry!! Help a girl out!!
sweet-ann [11.9K]

Answer:

Yes, They are similar by SSS PMK similar to LMQ.

Step-by-step explanation:

Similar triangles corresponding side lengths are in a proportion.

KM corresponds with MQ

PM corresponds with LM.

Set up this proportion.

\frac{km}{pm}  =   \frac{lm}{mq}

\frac{15}{28}  =  \frac{21}{39.2}

Cross multiply

588 = 588

So the triangles ARE Similar.

  • PM corresponds with LM
  • KM corresponds with MQ
  • PK corresponds with LQ
  • So PMK is similar to LMQ
4 0
3 years ago
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