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3 years ago

Reduce the fraction, if possible 5) 26 117

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

You can’t reduce
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4 1/2 divided by 3/4

Anton [14]

Answer:

Step-by-step explanation:

First, change 4 1/2 into a fraction.

$4\frac{1}{2} \div \dfrac{3}{4} =$

$= \dfrac{4 \times 2 + 1}{2} \div \dfrac{3}{4}$

$= \dfrac{9}{2} \div \dfrac{3}{4}$

$= \dfrac{9}{2} \times \dfrac{4}{3}$

$= \dfrac{9 \times 4}{2 \times 3}$

$= \dfrac{3 \times 3 \times 2 \times 2}{2 \times 3}$

$= 3 \times 2$

$= 6$

8 0

4 years ago

Find the number of positive integers n is less than or equal to 1000 such that 15n is a perfect square.

boyakko [2]

Answer:

8 positive integers.

Step-by-step explanation:

One value of n would be 15 because 225 = 15^2.

Other values are 225 * n where 15n <= 1000 and n is a perfect square.

So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.

n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.

n = 16 gives us 225*16 and 15*16 = 240 , so OK.

n = 25 gives a perfect square and and 15*25 = 375 - so OK.

n = 36 gives a perfect square and 15*36 = 540 - so OK.

n = 49 gives a perfect square and 15*49 = 735 - so OK.

n = 64 gives a perfect square and 15*64 = 960 - so ok.

n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.

3 0

3 years ago

Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80

zhannawk [14.2K]

Answer:

$\sum ^{20} _{n \to \11} 4n$

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80 = $\sum ^{20} _{n \to \11} 4n$

4 0

3 years ago

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F

FrozenT [24]

The final answer is <span>3/5</span> or 0.6.

6 0

4 years ago

Read 2 more answers

Harry earns$12 20 per hour Monday to Friday if he works on a Sunday he owns 1.75 times hourly rate how much will Harry earn if h

Alla [95]

Answer: