All categories

3 years ago

I need help with this question. Please explain.

Mathematics

2 answers:

Vlada [557]3 years ago

8 0

Answer:

Step-by-step explanation:

just think ab it and you can figure it out using real worl problems

3241004551 [841]3 years ago

7 0

Answer:

Step-by-step explanation:

You would have to find the factors of 63 and 42

For 63 it is 3,3,7

For 42 its 2,3,7

They both share a 3 and 7 and when multiplied it gives you 21

Then theirs 2 R's that are being shared and 3 T's that are being shared

You might be interested in

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

Alekssandra [29.7K]

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

<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>

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

4 0

3 years ago

More inequalities Help please

Veronika [31]

Answer:

9*(y+18) ≤ -24

3 0

3 years ago

The perimeter of a triangle garden is 54 feet. Find the length of the three sides if the middle length side is 4 feet greater th

jeka94

9514 1404 393

Answer:

9 ft, 22 ft, 23 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:

54 = s +(2s +4) +(3s -4)

54 = 6s . . . . . . . . . . . . . . collect terms

9 = s . . . . . . . . . . divide by 6

2s+4 = 2·9 +4 = 22

3s -4 = 3·9 -4 = 23

The lengths of the three sides are 9 feet, 22 feet, and 23 feet.

6 0

3 years ago

Charles saves $y. Sharon saves 3 times as much as Charles. Jason saves 50.00 more thN Sharon. How much do they save

Whitepunk [10]

Charles-C
Sharon- S
Jason-J

C=y
S= 3y
J=(3y)+50

4 0

3 years ago

A box of cookies cost $2 before tax. Find the after-tax cost if the sales tax was 8.5%.

adell [148]

Answer:

$2.17 total

Step-by-step explanation:

2 (0.85) = v2.17

7 0

3 years ago