Simplify this expression (7x + 3) - (4x - 5 )

Mathematics

1 answer:

Masteriza [31]3 years ago

4 0

Answer:

3x+8

Step-by-step explanation:

(7x+3)-(4x-5)

1.Rewrite remove parenthesis

7x+3-4x+5

2. Collect like terms

7x-4x= 3x

5+3=8

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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

(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)

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