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Mila [183]
3 years ago
8

Mansa runs 1/3 of a mile in 1/16 of an hour. what is his unit rate in miles per hour​

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

5 1/3 mph or 5.33mph

Step-by-step explanation:

1/3 of a mile / 1/16 of an hour = MPH. In order to divide fractions you flip the bottom fraction and multiply across. 1/3 / 1/16 = 1/3 * 16/1 = 16/3 = 5 1/3 = 5.33mph

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A 276-inch board is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces
timurjin [86]
The smallest is 1/(5+1) = 1/6 of the total length, so is (276 in)/6 = 46 in.
The largest is 5*46 in = 230 in.

The two pieces are 46 in and 230 in.
7 0
3 years ago
Use the compound interest formula to determine the final value of the following amount. $1900 at 10.4% compounded monthly for 4.
nikklg [1K]

Answer:

$3027.80

Explanation:

The compound interest formula is the following.

A=P(1+\frac{r}{n})^{nt}

where

A = final amount

P = principle amount

r = interest rate / 100

n = number of compounds per interval

t = time interval

Now in our case,

A = unknown

P = $1900

r = 10.4/100

n = 12 months / year ( because the interest is compounded monthly)

t = 4.5 yrs

Therefore, the compound interest formula gives

A=1900(1+\frac{10.4/100}{12})^{12*4.5}

Using a calculator, we evaluate the above to get

\boxed{A=\$3027.80}

which is our answer!

8 0
1 year ago
Which of the following is 1 2 over 4 in its simplest form?
Katen [24]

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

6 0
3 years ago
Read 2 more answers
Find each of these values.
podryga [215]
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323=24\cdot13+11\iff323\equiv11\pmod{13}
11^2\equiv0\pmod{11}

73=3\cdot23+4\iff73\equiv4\pmod{23}
4^2\equiv16\pmod{31}

212=14\cdot15+2\iff212\equiv2\pmod{15}
2^3\equiv8\pmod{22}
4 0
3 years ago
4(x + 4y) + 3(4x + y)
Tju [1.3M]
The simplified version of this would be: (4x+16y)+(12x+3y). You then combine like terms (4x+12x=16x) and (16y+3y=19y). Since this is the most simplified you can make the equation THE ANSWER would be 16x+19y
5 0
3 years ago
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