What are the solutions of this quadratic equation? x + 2x = -2

Solving an Equation for a Rate Problem Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail a

ohaa [14]

Given:
speed = distance / time

walking: 3 miles per hour
running 5 miles per hour
for a total of 3 hours.

3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.

6 0

3 years ago

Read 2 more answers

Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$

5 0

2 years ago

Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the e

liberstina [14]

Answer:

<h2><u>The amount paid to an employee was </u><u>162</u></h2>

Step-by-step explanation:

<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>72 + 90 =</u><u> 162</u></h2>

6 0

3 years ago

A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a

storchak [24]

Answer: 267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

$n=0.25(\dfrac{z^*}{E})^2$ , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get

$n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267$

Hence, the required sample size is 267.

7 0

2 years ago

PLS HELP ME PLS PLS !

BaLLatris [955]

Answer:

ill help

Step-by-step explanation:

4 0

2 years ago

What are the solutions of this quadratic equation? x + 2x = -2​

What are the solutions of this quadratic equation? x + 2x = -2