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2 years ago

What is the expanded form of this number?

Mathematics

2 answers:

den301095 [7]2 years ago

8 0

Answer:

(2×100)+(4×1)+(1×1100)+(7×11,000)

Step-by-step explanation:

Hope this helps

Bezzdna [24]2 years ago

5 0

Answer:

Step-by-step explanation:

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A line with a slope of -10 passes through the points of (10, -7) and (9,j) what is the value of j?

CaHeK987 [17]

So, using our given information, we have a line of the equation $y+7=-10(x-10)$ , or $y=-10x+93$ . Plugging in our value 9 for $x$ , we get $j = -10(9)+93 = 3$ .

j=3

7 0

3 years ago

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

2 years ago

Explain how you can use the basic moves of algebra to transform the equation 5x-3y=12 into 0=12-5x+3y

ozzi

Subtract 5x and add 3y from the left side so that it can be moved to the right side. This will allow you to solve and get the second equation.

3 0

3 years ago

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Will mark brainliest and give 11 points if you give explanation

pshichka [43]

Answer:

both A and E

Step-by-step explanation:

because most of 70% of the water is sea salt and clean water comes from frozen underground.

6 0

3 years ago

Anna would like to purchase a new bike that costs $205. She already has $31 saved. If she saves a maximum of $12 a week, the fol

Dmitrij [34]

Answer:

It will take at least 15 weeks

Step-by-step explanation:

12w+31 ≥ 205

Subtract 31 from each side

12w+31-31 ≥ 205-31

12w ≥ 174

Divide each side by 12

12w/12 ≥ 174/12

w ≥ 14.5

Rounding up to the nearest integer

w ≥ 15

It will take at least 15 weeks

5 0

3 years ago

Read 2 more answers