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satela [25.4K]
2 years ago
13

Someone answer theses please ASAPPP

Mathematics
2 answers:
tino4ka555 [31]2 years ago
7 0
2/3

4/-1

5 1/4

5/3

0.63

12.5%

16/25

66.67%

3.25
grin007 [14]2 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

<u>a)</u>

\frac{24}{36} \div \frac{12}{12} = \frac{2}{3}

<u>b)</u>

1 \div \frac{-1}{4}

1 \times \frac{-4}{1} = -4

<u>c)</u>

\frac{21}{4} = \frac{20}{4} + \frac{1}{4}

5 + \frac{1}{4} = 5\frac{1}{4}

<u>d)</u>

1\frac{2}{3} = 1 + \frac{2}{3}

\frac{3}{3} + \frac{2}{3} = \frac{5}{3}

<u>e)</u>

⇒ 63%/100%

⇒ 0.63

<u>f)</u>

⇒ .125 × 100%

⇒ 12.5%

<u>g)</u>

⇒ 64%/100%

⇒ 16/25

<u>h)</u>

⇒ 2/3 × 100%

⇒ 200/3

⇒ 66.7%

<u>i)</u>

⇒ 6.5% × 50

⇒ 50 × 65/1000

⇒ 65 × 1/20

⇒ 65/20

⇒ 3.25

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

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s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

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Step-by-step explanation:

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