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2 years ago

9 6/7 divide 3? explain your answer

Mathematics

2 answers:

boyakko [2]2 years ago

7 0

Answer:

it is a decimal which is 3.28571428571

Step-by-step explanation:

i am in college

AlekseyPX2 years ago

7 0

Step-by-step explanation:

$\\ 9 \frac{6}{7} \div 3$

Change the mixed fraction into improper fraction.

 $\\ = \frac{69}{7} \div 3$ 

Reciprocal 3 for cross multiplication.

 $\\ = \frac{69}{7} \times \frac{1}{3}$ 

Divide 69 by 3.

 $\\ = \frac{ \cancel{69}}{7} \times \frac{1}{ \cancel{3}}$ 

 $\\ = \frac{23}{7}$ 

Divide the result into mixed fraction or decimal.

 $\\ = 3.285 \: \: or \: \: 3 \frac{2}{7}$ 

[Answer]

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The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
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Answer:
The relationship between the volumes of the two prisms is:
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A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?

rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

90% is equivalent to 0,90.
5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
13.17% is equivalent to 0.1317.
245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

55.90% of 200 is equal to: $200 \times 0.5590 = 111.8$

360% of 88 is equal to: $88\times 3.6 = 316.8$

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that $230\times 1.07 = 246.1$ , therefore, the total cost of the phone after tax is $246.1.