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2 years ago

A man works 35 5/6 hours in 5 days. what is his average work day?

Mathematics

1 answer:

valina [46]2 years ago

4 0

Answer:

7 1/6

Step-by-step explanation:

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

1. For each event, write the sample space and tell how many outcomes there are.

kozerog [31]

Answer:

A. 14

Step-by-step explanation:

6 0

2 years ago

91867×3562+333×1257 please answer no callculator

goldfiish [28.3K]

Answer:

327648835 is the answer....

3 0

2 years ago

Read 2 more answers

Helpppppppppppp me please

eimsori [14]

Answer: Y intercept: 5 The slope of the line is: 2

Step-by-step explanation:

Y=mx+b is y-intercept form

So you have to solve this equation for y.

This looks like:

-2x+y=5

+2x +2x

y=2x+5

4 0

3 years ago

Choose the inequality that represents the following graph.HELP HELP HELP

Wewaii [24]

Solution:

It should be noted:

If the starting point of the inequality is half shaded, the sign will be < or >.
If the starting point of the inequality is fully shaded, the sign will be ≤ or ≥.

We can tell that:

The inequality will either have an < or > sign.
The blue line tells us that the value of x must be greater than -1.

This clearly tells us that the inequality is x > -1

In conclusion:

Option C is correct.

4 0

2 years ago

A man works 35 5/6 hours in 5 days. what is his average work day?​

A man works 35 5/6 hours in 5 days. what is his average work day?