Which fraction is equivalent to -3/2? 3/-2 -(3/-2) -3/-2 -(-3/2)

Evaluate the following expression if c = 8 and d = -5 3 * (c+d

m_a_m_a [10]

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

5 0

1 year ago

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

2 years ago

Which number line shows the solution to the inequality −2(3x − 1) < 8?

Liula [17]

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

Solution of the inequality:

−2(3x − 1) < 8 ⇒ Divide both sides by -2, this will change inequality

sign to opposite

3x - 1 > -4 ⇒ add 1 to both sides
3x > -3 ⇒ divide both sides by 3
x > -1 ⇒ answer
x∈ (-1, ∞) ⇒ answer as set

4 0

2 years ago

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yell

igomit [66]

Answer:

a) 3/100

Step-by-step explanation:

There are 25 total chips

P(Yellow) = 3/25

With no replacement P(Blue) = 6/24 = 1/4

Multiply 3/25* 1/4= 3/100

3 0

2 years ago

Answer this slope problem (15 points)

Feliz [49]

Where is the question

4 0

2 years ago

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Which fraction is equivalent to -3/2?3/-2-(3/-2)-3/-2-(-3/2)​

Which fraction is equivalent to -3/2?3/-2-(3/-2)-3/-2-(-3/2)