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4 years ago

Joseph drives 125 miles in 2.5 hours. At the same rate, how far will he be able to travel in 6 hours?

Mathematics

2 answers:

Oksi-84 [34.3K]4 years ago

6 0

Answer:

Step-by-step explanation:

20 miles not sure

aivan3 [116]4 years ago

5 0

Answer:

In 6 hours Joseph will travel 300 miles.

Step-by-step explanation:

Firs we will find Joseph's average rate:

v = 125/2.5 (since 2 1/2 = 2.5 and average rate = distance/speed)

v = 50 mph

We need to find the distance d in t = 6 hr:

d = v*t

d = 50*6

d = 300 mi

In 6 hours Joseph will travel 300 miles.

HOPE THIS HELPS U OUT AND IF IT DID PLS MARK ME AS BRAINLIEST PLS :)

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Solve the following proportion. 15/21=5/x A. 3 B. 105 C. 7 D. not given

Slav-nsk [51]

If you would like to solve the following proportion 15 / 21 = 5 / x, you can do this as follows:

15 / 21 = 5 / x /*x
15 / 21 * x = 5 /*21
15 * x = 5 * 21 /15
x = 5 * 21 / 15
x = 7

The correct result would be C. 7.

3 0

3 years ago

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How do i solve x=y+1 and 3x+2y=8 by substitution

Alchen [17]

3(y+1)+2y=8

3y + 3 +2y = 8

5y +3 = 8
-3 -3

5y = 5
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5 5

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5 0

3 years ago

Another annoying question. Please help me.

Volgvan

Answer:

1.15b

b + 0.15b

b + (15/100)b

Step-by-step explanation:

Since the question asks for the equation that represents the pay plus the tip, which is 15% of the bill, your only answer choices are:

1.15b

b + 0.15b

b + (15/100)b

Why?

Ok, b is the bill in dollars. If I have to pay 15 dollars and I tip 15% of that, then I should be paying more than 15 dollars. In this example I gave, b is 15 dollars.

15% of b can be expressed in two ways (there's more but for now) : 0.15b or (15/100)b

15/100 is a fraction, which in decimal form is 0.15, so they are both exactly the same.

So, paying 15 dollars + 15% of the 15 will be 17.25.

Now, let's plug 15 dollars from our example in the answer choices to verify they are correct

b = 15

1.15b == 17.25

1.15(15) == 17.25

17.25 == 17.25 Correct

b + 0.15b == 17.25

15 + 0.15(15) == 17.25

15 + 2.25 == 17.25

17.25 == 17.25

There is another way of doing the above.

b + 0.15b == 17.25 # Combine like terms.

1.15b == 17.25

And then, b + (15/100)b is the same as b + 0.15b which is the same as 1.15b

Now, let's see what happens if we did a wrong one.

b + 0.15 <-- This one we expect b which is 15 and adding .15 cents no matter the cost

15 + 0.15 == 17.25

15.15 ≠ 17.25

1.015b <-- 0.015 in percent form is 1.5% not 15%.

1.015(15) == 17.25

15.225 ≠ 17.25

15b <-- We are multiplying b by 15. You better know your math otherwise you might pay 15x what you were supposed to pay!

15(15) == 17.25

225 ≠ 17.25

If you want to test out your equations, replace the variable; whether it is x, y, z, a, b, c - they are placeholders. Replace the placeholder with real values or equations (you will experience later).

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3 years ago

Select the fraction that is equivalent to one half. HOW DO I DO THIS PLZ HELP

Arlecino [84]

Answer:

1/2 one half

Step-by-step explanation:

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3 years ago

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A company that makes cartons finds that the probability of producing a carton with a puncture is 0.04, the probability that a ca

Over [174]

Answer:

a) C. No, a carton can have a puncture and a smashed corner.

b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.

Step-by-step explanation:

To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.

Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.

The answer is "C. No, a carton can have a puncture and a smashed corner."

We can calculate the probability that the carton has a puncture or has a smashed comer simply by adding the probability of each event:

$P(X\cup Y)=P(X)+P(Y)=0.1+0.04=0.104$

P(X ∪ Y): probability that a carton has a puncture or a smashed corner.

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4 years ago