Ask question

Ask question

All categories

3 years ago

13

Mrs handson has 2 pies for a party she Calculates that if she cut it evenly they will have 1/8 of a pie how many people at the p

arty

1 answer:

RUDIKE [14]3 years ago

5 0

The answer is 16, half of 32 1/8 x 1/2 = 2/16 divided by 2/2 = 1/8 but since you don't need to simplify only use the denominator of 2/16 or only need to multiply 8 and 2.

You might be interested in

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 − 6x2 − 15x + 2 (a) Find the interval on which

Burka [1]

Answer:

a) $(-\infty, -1) \cup (5, \infty)$

b) $(-1,5)$

Step-by-step explanation:

The first step to solve this question is finding the roots of the derivative of x.

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:

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

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

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

In this question:

$f(x) = x^{3} - 6x^{2} - 15x + 2$

So

$f'(x) = 3x^{2} - 12x - 15$

Finding the roots:

$3x^{2} - 12x - 15 = 0$

Simplifying by -3

$x^{2} - 4x - 5 = 0$

So $a = 1, b = -4, c = -5$

Then

$\bigtriangleup = (-4)^{2} - 4*1*(-5) = 36$

$x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5$

$x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1$

So the function can be divided in three intervals.

They are:

Less than -1

Between -1 and 5

Higher than 5

In which it increases and which it decreases?

Less than -1

Lets find the derivative in a point in this interval, for example, -2

$f'(x) = 3x^{2} - 12x - 15$

$f'(-2) = 3*(-2)^{2} - 12*(-2) - 15 = 21$

Positive.

So in the interval of $(-\infty, -1)$ , the function increases.

Between -1 and 5

Will choose 0.

$f'(x) = 3x^{2} - 12x - 15$

$f'(0) = 3*(0)^{2} - 12*(0) - 15 = -15$

Negative.

So in the interval of $(-1,5)$ , the function decreases.

Higher than 5

Will choose 6.

$f'(x) = 3x^{2} - 12x - 15$

$f'(6) = 3*(6)^{2} - 12*(6) - 15 = 21$

Positive

So in the interval of $(5, \infty)$ , the function increases.

(a) Find the interval on which f is increasing.

Using interval notation

$(-\infty, -1) \cup (5, \infty)$

b) Find the interval on which f is decreasing.

$(-1,5)$

5 0

4 years ago

Sarah and her friends laid down two beach blankets. The blankets are the same length but of different widths. The distributive p

Masja [62]

Answer:The width of the orange blanket is 23 inches.

Step-by-step explanation:

The total of both lengths is 75.We know that the green blanket is 52 so 75-52 = 23 which is the width of the orange blanket

7 0

3 years ago

Please answer, I will give thanks, follow, and a brainliest!

poizon [28]

It would be best to display the data in in bar graph because it will best show changes over time because of the large numbers.

7 0

3 years ago

Find the unit rate. 4 grams for every $\frac{3}{4}$ serving The unit rate is grams per serving.

Katyanochek1 [597]

Answer:

5 1/3 grams per serving

Step-by-step explanation:

Find the unit rate. 4 grams for every $\frac{3}{4}$ serving The unit rate is grams per serving.

The unit rate in grams per serving is given as:

3/4 servings = 4 grams

1 servings = x grams

Cross Multiply

x grams = 4 grams × 1 serving/3/4 serving

x grams = 4 grams ÷ 3/4 servings

x grams = 4 grams × 4/3 servings

x grams = 16/3

x grams = 5 1/3 grams per serving

The unit rate = 5 1/3 grams per serving

5 0

3 years ago

it takes 4 pints to fill one jug of water. quasim needs to fill 8 jugs. how much water does he need to fill the jugs in quarts?

forsale [732]

Answer:32

Step-by-step explanation:

3 0

3 years ago