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3 years ago

2+4(7+2²) -------------- 4×2+5×3

Mathematics

1 answer:

hodyreva [135]3 years ago

6 0

Answer:

$\frac{46}{23}$

Step-by-step explanation:

$\frac{2 + 4(7 + {2}^{2} )}{4 \times 2 + 5 \times 3}$

$\frac{2 + 4(7 + 4)}{4 \times 2 + 5 \times 3} = \frac{2 + 4(7 + 4)}{8 + 5 \times 3}$

$\frac{2 + 4(7 + 4)}{8 + 15} = \frac{2 + 4 \times 11}{8 + 15}$

$\frac{2 + 4 \times 11}{23} = \frac{2 + 44}{23}$

$= \frac{46}{23}$

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Due to delays, a company had to extend a project from 64 days to 123 days. What was the percentage increase in time to complete

Lana71 [14]

Answer:

40%

Step-by-step explanation:

4 0

4 years ago

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

blagie [28]

$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

<u>Hence, </u>

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

3 0

3 years ago

1.If a shirt costs 60 dollars, it's marked down to 20% off, what is the amount of the discount?

tresset_1 [31]

Answer:

$12.00

Step-by-step explanation:

20% of $60 is $12.

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3 years ago

Megan picked 34 flowers. Some of the flowers are pink. How many of the flowers are yellow

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4 years ago

The ticket for the skating night costs $ 3.75 for those with a membership card and $ 5.00 for those without a membership card. T

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Price paid:
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moores + cotters + 6 = 30
therefore:
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[substitute moores = cotters + 6 into moores + cotters = 24]
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[substitute cotters = 9 into moores = cotters + 6]
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3 years ago