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2 years ago

Pleeeeeaaassseee help

Mathematics

2 answers:

borishaifa [10]2 years ago

4 0

The runner ran 5/6 then he ran 9/10 more how much did he run in all

Mazyrski [523]2 years ago

4 0

Hope this can help...

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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

Find the measure of an interior angle and exterior angle of a regular 24gon

Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:

sum = ( n - 2 ) * 180° where 'n' is the number of sides.

When 'n = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:

Interior Angle = sum° / n where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0

2 years ago

PLEASE HELP!!! use the pic to understand the question

AURORKA [14]

Answer:

this is confusing. I'll try my best to sort it out for you. I'll tap in once I figure it out

6 0

2 years ago

Chris is at the deli and spent $13.65 for 1.75 pounds of turkey. What was the cost per ounce for turkey?

kvasek [131]

Answer:

0.4875 cents per ounce

Step-by-step explanation:

16 ounces per pound

1.75 lbs x 16 = 28 ounces

$13.65/28 ounces = .4875 cents/ounce

Check: 0.4875 cents x 28 ounces = $13.65

5 0

2 years ago

A New dog leash with an attached flashlight was on dale for 20% off. if the original price was $16.50, what is the discounted pr

Kisachek [45]

20 divided 100 = .2 then u multiply 16.5 by .2 =3.3 then u subtract that from 16.5 and u get 13.2

3 0

3 years ago