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Matthew is 7 years older than twice the age of his sister. If Matthew is 13, how old is his sister?

Iteru [2.4K]

Let sister be s. Matthew, M

Matthew is 7years older than twice the age of his sister

M = 7 + 2s

13 = 7 + 2s. 7 crosses the equality to other side and becomes -7

13 - 7 = 2s

6 = 2s Divide both sides by 2

6/2 = 2s/2

3 = s

Sister is 3 years old.

8 0

3 years ago

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Kerrie uses the work shown below to determine 35% of 280.

lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

$x = \frac {10 * 280} {100}\\x = 28$

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

$x = \frac {25 * 280} {100}\\x = 70$

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

$28 + 70 = 98$

So, Kerrie's solution is correct.

Answer:

Option A

6 0

3 years ago

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the area of Alaska is about 2 x 10 to the 6 power square kilometers the area of Rhode Island is about 4 x 10 to the 3rd power sq

hram777 [196]

Answer:

i think the answer is A: 0.0005

Step-by-step explanation:

i think so because when i divided alaska by rhode island, i got 500000000. so i guess you move the decimal

3 0

3 years ago

Solve for x in simplest form 15 = 1/3(x+9)

Lorico [155]

Heya!

Your question states: Solve for x in simplest form 15 = 1/3(x+9)

Answer: X = 36

<em>Numerical Explanation:</em>

1. Step by step

I. 15 = 1/3(x+9)

2. Simplify both sides of the equation:

II. 15 = 1/3x + 3

3. Flip the equation:

III. 1/3x + 3 = 15

4. Subtract 3 from both sides:

IV. 1/3 x +3 = 15

-3 -3

5. Multiply both sides by 3:

V. 3 * (1/3 x) = (3) * (12)

6. Final answer:

VI. x = 36

I Hoped I Helped!

~KINGJUPITER

6 0

3 years ago

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Solve the following question

White raven [17]

Answer:

g) $u^{4}\cdot v^{-1}\cdot z^{3}$ , h) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$

1) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$ Given

2) $\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }$ Definition of division

3) $\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)$ Associative property

5) $u^{4}\cdot v^{-1}\cdot z^{3}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ /Result

h) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$

1) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$ Given

2) $\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }$ Definition of division

3) $\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }$ Factorization/Distributive property

5) $\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]$ Modulative and commutative properties/Associative property

6) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ / $\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}$ /Definition of division/Result

3 0

3 years ago

Hurry up for 10 points