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2 years ago

For g(x) = 3x, describe the value of x when g(x) < 27. When g(x) < 27, x<

Mathematics

1 answer:

enyata [817]2 years ago

4 0

Answer:

x < 9

if g(x) < 27

Step-by-step explanation:

Since g(x) = 3x

then for g(x) = 27

3x = 27

x = 27/3

x = 9

so when g(x) < 27

x < 9

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Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection

Free_Kalibri [48]

The number of stamps with penny in terms of x is $\frac{x}{6}$

<em><u>Solution:</u></em>

Given that,

Ryan has x stamps in his collection

Number of stamps of Ryan = x stamps

Let the stamps with penny be "a"

Ryan has 6 times as many stamps as penny

Therefore,

Number of stamps in Ryan = 6 times as many stamps as penny

$\text{Number of stamps in Ryan } = 6 \times a\\\\x = 6a\\\\a = \frac{x}{6}$

Thus number of stamps with penny in terms of x is $\frac{x}{6}$

7 0

3 years ago

Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she

zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

Mrs. Martini is 6 years more than 3 times as old as Tony
Eight years ago, she was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

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6 0

3 years ago

What is the value of a?

aliya0001 [1]

Answer:

b .150 I hope it is. I'm positive

4 0

3 years ago

You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% whats the sales tax

svp [43]

Answer:

11.18

Step-by-step explanation:

135.50 x .0825=11.18

6 0

3 years ago

-y^2+x^3-4x^3-6y^2+5-2-x^3

Alex

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${\texttt{{Hello}}}$

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$-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\$

$\green{\boxed{{\textsf{Development}}}}$

$-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\$

$-y^{2}-3x^{3}-6y^{2}+5-2-x^{3} \\$

$-y^{2}-3x^{3}-6y^{2}+3-x^{3} \\$

$-y^{2}-4x^{3}-6y^{2}+3 \\$

$-7y^{2}-4x^{3}+3 \\$

$\red{\boxed{{\textsf{Answer}}}}$

$-7y^{2}-4x^{3}+3 \\$

$\red{\texttt{{\textsf{XxXDxX}}}}$

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6 0

2 years ago