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3 years ago

Solve the equation n2 − 29 = 260 by using square roots.

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

Answer:

Option A, $n =$ ± $17$

Step-by-step explanation:

Step 1: Add 29 to both sides

$n^2 - 29 = 260$

$n^2 - 29 + 29 = 260 + 29$

$n^2 = 289$

Step 2: Square root both sides

$\sqrt{n^2} = \sqrt{289}$

$n =$ ± $17$

Answer: Option A, $n =$ ± $17$

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Nastasia [14]

Answer:

Orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

Step-by-step explanation:

Given:

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon left.

Now, to find the orange ribbon Zoe use.

Let the orange ribbon Zoe use be $x.$

Total orange ribbon Zoe had = $3\frac{1}{8} = \frac{25}{8} \ feet.$

Ribbon Zoe had left = $1\frac{3}{8} =\frac{11}{8} \ feet.$

Now, to get the orange ribbon Zoe use:

$\frac{25}{8} -x=\frac{11}{8}$

Subtracting both sides by $\frac{11}{8}$ we get:

$\frac{25}{8} -x-\frac{11}{8} =0$

Adding both sides by $x$ we get:

$\frac{25}{8} -\frac{11}{8} =x$

$\frac{25-11}{8} =x$

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$x=\frac{7}{4}$

$x=1\frac{3}{4}\ feet.$

Therefore, orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

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3 years ago

Falisha spent 2/5 of her money on a bag. she gave 2/3 of the remaining amount to her sister. What fraction of her money was she

alukav5142 [94]

Answer:

1/5

Step-by-step explanation:

After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

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Step-by-step explanation:

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the value of x in the equation 15(x + 4) - 3 = 4.5(x - 2)?

IRISSAK [1]

Hi there!

The Eqn. is :-

1.5 (x + 4) - 3 = 4.5 (x - 2)

1.5x + 6 - 3 = 4.5x - 9

Combining the like terms :-

1.5x - 4.5x = - 9 - 6 + 3

- 3x = - 15 + 3

- 3x = - 12

x = \dfrac {- 12}{- 3}

x = 4

Hence, the required answer is → x = 4

~ Hope it helps!

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3 years ago