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3 years ago

12

What is the value of x? Round to the nearest tenth.

1 answer:

stepladder [879]3 years ago

7 0

Check the picture below.

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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

(c)150 Hours

(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,

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

8 0

3 years ago

The five numbers summary for a data set is shown below. What is the range of the data set? 3, 7, 11, 14, 16

scoundrel [369]

Answer:

13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set.

So, in order to find the range, you first order the data from least to greatest. Which it is already.

3, 7, 11, 14, 16

Then subtract the smallest value from the largest value in the set.

16 - 3 = 13

Hope this helps you out! : )

3 0

3 years ago

Sin(x+ pi/6)- sin(x-pi/6)= 1/2

agasfer [191]

Answer:

You can download the answer here. Link below!

5 0

2 years ago

What is 3/8 in a decimal

hodyreva [135]

Here is the answer 0.375

7 0

3 years ago

Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.

Yakvenalex [24]

Answer: $x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

Step-by-step explanation:

$2x^2-9x+5$

a=2

b=-9

c=5

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)} }{2(2)}$

$x=\frac{9\frac{+}{}\sqrt{81-40} }{4}$

$x=\frac{9\frac{+}{}\sqrt{41} }{4}$

$x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

4 0

2 years ago