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Lemur [1.5K]
2 years ago
12

Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the va

cation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation. Friend A: Works 13 hours per week at $6. 95 per hour. Friend B: Works 15 hours per week at $5. 85 per hour. Friend C: Works 18 hours per week at $5. 25 per hour. Friend D: Works 11 hours per week at $7. 80 per hour. A. A and C b. A and D c. B and C d. B and D Please select the best answer from the choices provided A B C D.
Mathematics
2 answers:
e-lub [12.9K]2 years ago
8 0

You can use the fact that summing something P times is equal to multiplying that thing with P.

Those who could save the needed amount were:

Option A: A and C

<h3>How to add something P times?</h3>

Let you have to add a value y p times. Then you write it as:

y + y + ...  + y \text{\: (P times)}\\= y \times P

<h3>How to calculate how much each friend earned?</h3>

checking total money each friend earned:

  • Friend A : worked 13 hours per week at $6.95/hour rate.

Since in 1 week, A works 13 hour, thus, in 8 weeks, he works

13 \times 8 = 184 \: \rm hours

Each hour he earns $6.95, thus, for 184 hours, he will earn

6.95 + 6.95 + ... + 6.95 \text{\:(184 times)}\\= 6.95 \times 184 = \$1278.8

Similarly,

  • Friend B: worked 15 hours per work at $5.85/hour rate

B earned 15 \times 8 \times 5.85 = \$702

  • Friend C: worked 18 hours per work at $5.25/hour rate

B earned 18 \times 8 \times 5.25 = \$756

  • Friend D: worked 11 hours per work at $7.80/hour rate

B earned 11 \times 8 \times 7.8 = \$686.4

Only friend A and friend C could earn more than or equal to $750

Thus,

Those who could save the needed amount were:

Option A: A and C

Learn more about multiplication here:

brainly.com/question/520497

juin [17]2 years ago
3 0

Answer:

A: A and C will have enough money.

Step-by-step explanation:

<h3>A:</h3>

13h/w × 6.95$/h => 90.35$/w × 8 weeks = 722.8$

<h3>B:</h3>

15h/w × 5.85$/h => 87.75$/w × 8 weeks = 702.0$

<h3>C:</h3>

18h/w × 5.25$/h => 94.5$/w × 8 weeks = 756.0$

<h3>D:</h3>

11h/w × 7.8$/h => 85.8$/w × 8 weeks = 686.4$

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Darina [25.2K]

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

Hope it helped :)

3 0
3 years ago
What is the sum of the series 3,---5,-13..........-229
Tpy6a [65]

ANSWER

S_{30}= - 3390

EXPLANATION

The given sequence is

3,-5,-13,.....-229.

The first term of this sequence is

a_1=3

There is a common difference of

d =  - 5 - 3 =  - 8

The last term of this sequence is -229.

The nth term of this sequence is given by:

a_n=a_1+d(n-1)

We use the last term to determine the number of terms in the sequence.

- 229 = 3 +  - 8(n - 1)

- 229  - 3=  - 8(n - 1)

- 232=  - 8(n - 1)

Divide through by -8;

29= (n - 1)

n = 30

Hence there are thirty terms in the sequence.

The sum of the first n terms is given by:

S_n= \frac{n}{2} ( a_{1} + l)

The sum of the first 30 terms is given by:

S_{30}= \frac{30}{2} ( 3 +  - 229)

S_{30}=15(  - 226)

S_{30}= - 3390

4 0
3 years ago
A manager of a fast food restaurant wants the drive-thru employee to ask every fifth customer if he or she is satisfied with the
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Options:

A.

All survey respondents

B.

The proportion of customers who say they are satisfied with their service

C.  All customers who use the drive-thru window of this fast food restaurant

D.  All customers of this restaurant

Answer:A.  All survey respondents

Step-by-step explanation: A population is the total number of people or a particular organism staying in a particular place or from where a sample can be gotten which is to be used for an experiment.

A survey is a research procedure used to obtain data from a pre-determined group of people,this data is about their own view about a given topic of interest in the research.

5 0
3 years ago
What is 20-5+80(78)-10? Please help, I am not good at algebra!
rodikova [14]
The answer to your question is   6245 <span> </span>
5 0
3 years ago
{[3 x (3+6) - 5] + 20 x 2
Nataliya [291]

Answer:

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Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=<u>62</u><u> </u>

7 0
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