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Charra [1.4K]
2 years ago
15

Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24

more dollars than Brian. If together they have $72, how much money does Brian and Andie have? ​
Mathematics
1 answer:
Naddik [55]2 years ago
3 0

Answer:

Andie has 48 and Brian has 24

hope it's correct

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24 is 3% of 800. 
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A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio
Andrej [43]

Answer:

(a) h = \frac{2400}{w}

(b)300 Hours

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(d)Reduced and halved.

(e) w = \frac{2400}{h}

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}

(b)If the student earns $8 an hour

w=$8

\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours

(c)When the wage per hour =$16

When w=$16

\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours

The number of hours reduced and is in fact halved.

(d)

\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2}  X \frac{2400}{w} =\frac{h}{2}

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}

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Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?
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