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Luden [163]
2 years ago
13

14 What are the solutions to the equation 3(x − 4)² = 27?

Mathematics
1 answer:
Marat540 [252]2 years ago
4 0

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>
  • 3(x - 4)² = 27
  • (x - 4)² = 9
  • √(x - 4)² = √9
  • (x - 4) = ± 3
  • x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

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4. Neelam's annual income is Rs. 288000. Her annual savings amount
Vikki [24]

Answer:

The ratio of her savings to expenditure <u>1 : 7</u>.

Step-by-step explanation:

Given:

Neelam's annual income is Rs. 288000.

Her annual savings amount  to Rs. 36000.

Now, to get the ratio of her savings to her expenditure:

So, we get the expenditure first:

Expenditure = Income - Savings.

Expenditure = 288000 - 36000 = Rs. 252000.

Now, <em>the ratio of savings to expenditure:</em>

\frac{Savings}{Expenditure} =\frac{36000}{252000}

\frac{Savings}{Expenditure} =\frac{1}{7}

Thus, Savings:Expenditure = 1:7.

Therefore, the ratio of her savings to expenditure 1 : 7.  

3 0
3 years ago
The line segment is extended to cross both axes. What is the location of the y-intercept on the line?
Kobotan [32]

Answer: B. (0,-10)

(I got it right in the exam review.)

8 0
3 years ago
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83 is 111% of what number? Round to the nearest hundredth
ExtremeBDS [4]

Answer:

The answer is 83

Step-by-step explanation:  

Number Rounded to Nearest 100th

83         83

83.001 83

83.002 83

83.003 83

83.004 83

83.005 83.01

83.006 83.01

83.007 83.01

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4 0
3 years ago
An angle measures 56.4° less than the measure of its supplementary angle. What is the measure of each angle?
Leokris [45]

Answer:

61.8 and 118.2

Step-by-step explanation:

Let's call one angle A and the other B. Supplementary angles add to 180, so A+B=180. If B=A+56.4, then we can rewrite the equation in terms of A, or A+(A+56.4)=180 or 2A+56.4=180. To solve, first subtract 56.4 from each side and then divide by 2 to get A=61.8. Since the angle is supplementary, all we need to do to find B is subtract A (61.8) from 180 to get B=118.2.

4 0
3 years ago
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which express
nexus9112 [7]
Adding 18% gratuity to the cost means that you'll be paying 100% of the cost p <em>plus</em> 18% of that cost, or 108% of p total.

As an expression: 1.08p
8 0
3 years ago
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