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Ostrovityanka [42]
4 years ago
10

A truck travels from town A to town B. The truck has 3/4 of gas in tank. it uses 1/3 of gas for the entire trip. The capacity of

tank is 70 gallons. How much did the truck use for this trip?
Mathematics
2 answers:
AnnyKZ [126]4 years ago
5 0
I'm not sure but 35 gallons
hjlf4 years ago
4 0

Answer:

29 1/6 OR 29.1666..

Step-by-step explanation:

70/2=35

35 = 1/2

35/2=17.5

This means that 1/4 = 17.5.

17.5x3, (35 + 17.5) =52.5.

3/4 = 52.5

3/4 - 1/3

Multiply diagonally

3x3=9

1x4=4

9-4=5

5/?

Multiply denominators

4x3=12

3/4-1/3=5/12

5/12 x Full Tank (70/1)

Frankly I'd rather skip showing you how to multiply fractions so lets just skip that (I'll explain it if you ask)

175/6

Break it down

6x29=174

180-174=1

29 1/6

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Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 3.
agasfer [191]

Answer:

1 / 36

Step-by-step explanation:

A roll of 2 fair dice :

Total number of possible outcomes = n² ; n = number of faces in a dice = 6² = 36

Probability = required outcome / Total possible outcomes

Required outcome = total less than 3 = 1 (from sample space provided)

Hence,

P(total less than 3) = 1/36

8 0
3 years ago
7. A shopkeeper buys 300 identical articles a tota
sashaice [31]

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

3 0
4 years ago
use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​
elixir [45]

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

7 0
2 years ago
Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?
Marizza181 [45]

Answer:

6\frac{7}{8}\ miles

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0
3 years ago
A number cube labeled 1 through 6 is rolled.
lbvjy [14]

Answer: 3/6 or 1/2 or 50%

Step-by-step explanation: 1, 2, 3 4, 5, 6 are each face

2, 4, and 6 are even.

3 out of the 6 are even (3/6)

reduce (1/2)

1/2 = 50%

8 0
1 year ago
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