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Lubov Fominskaja [6]
3 years ago
11

-1 3/5 divided by (-2/3) write as mixed number

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Step-by-step explanation:

- 1  \frac{3}{5}  \div  \frac{ - 2}{3}

Convert the mixed numbers above to improper fractions. Thus:

\frac{ - 8}{5}  \div   \frac{ - 2}{3}

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

\frac{ - 8}{5}  \times  \frac{ - 3}{2}

\frac{ - 8 \times  - 3}{5 \times 2}

=  \frac{24}{10}

= 2  \frac{4}{10}

= 2  \frac{2}{5}

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Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

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1. A set of weights includes a 5 lb barbell and 8 pairs of weight plates. Each pair, p,
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Answer:

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Step-by-step explanation:

Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)

The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).

Using the function given, if you input 8 as the x value, you get

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