the length of a rectangle is four times it’s width. The area of the rectangle is 144 in.². Find the dimensions of the rectangle

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{3}" alt="\frac{1}{3}" align="a

sweet [91]

$\boxed{\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c}}\\\\\dfrac{1}{3}\div\dfrac{5}{6}=\dfrac{1}{3}\cdot\dfrac{6}{5}=\dfrac{1\cdot6}{3\cdot5}=\dfrac{6}{15}=\dfrac{6:3}{15:3}=\dfrac{2}{5}$

8 0

4 years ago

C^2-4c+cd-4d=(c-4)() find the missing factor

Nadya [2.5K]

It is (c+d)

you can basically use FOIL (first,outside,inside,last) to solve this.

you know the first term of the factor has to be C because of the c^2

the second then has to be D because you haven't seen D in the factor yet and it is in the equation.

then you know from the equation that the terms with D are not negative so D isn't negative so you have form the information above (c+d)

6 0

3 years ago

HELPPPpppppppp pleaseeeeeeeeeeeeeeeeeeeee

allsm [11]

Answer:

use the app called photomath

4 0

3 years ago

Read 2 more answers

Zoey and her children went into a grocery store where they sell apples for $2.25 each and bananas for $1.50 each. Zoey has $15 t

Xelga [282]

Answer:

Zoey could buy 2 apples and 7 bananas.

Step-by-step explanation:

Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:

6 0

3 years ago

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To

Ymorist [56]

Answer:

$t=\frac{78-75}{\frac{7}{\sqrt{20}}}=1.917$

The degrees of freedom are given by:

$df= n-1 = 20-1=19$

The p value would be given by:

$p_v =2*P(t_{19}>1.917)=0.0704$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 75 and the best option would be:

a. No

Step-by-step explanation:

Information given

$\bar X=78$ represent the sample mean

$s=7$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =75$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to check if the true mean is different from 75, the system of hypothesis would be:

Null hypothesis: $\mu =75$

Alternative hypothesis: $\mu \neq 75$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{78-75}{\frac{7}{\sqrt{20}}}=1.917$

The degrees of freedom are given by:

$df= n-1 = 20-1=19$

The p value would be given by:

$p_v =2*P(t_{19}>1.917)=0.0704$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 75 and the best option would be:

a. No

8 0

3 years ago