Nine more than three times a number is

You can buy five cans for green beans at the village market for $2.20 you can buy 10 of the same cans of beans at Sam’s Club for

vovangra [49]

Answer:

The village market is better than Sam's Club

Step-by-step explanation:

If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.

5 0

3 years ago

Given the pair of triangles are similar find the unknown length of the sides labeled with a variable

MArishka [77]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. Let us assume the following:

Let us assume triangle ABC is a right angled triangle with side AB = 24, AC = 32 and the hypotenuse BC = 40. Triangle PQR is a right angled triangle similar to triangle ABC with side PQ = 27, PR= b and the hypotenuse QR = a.

Answer:

Two triangles are said to be similar if they have proportional angles or proportional sides that is they have the same shape. For similar triangles, the ratio of their corresponding side are the same.

Given that triangle ABC is similar to triangle PQR, therefore:

$\frac{AB}{AC}=\frac{PQ}{PR}\\ Substituting:\\\frac{24}{32}=\frac{27}{b}\\cross\ multiplying:\\b=\frac{27*32}{24}\\ b=36$

$\frac{AB}{BC}=\frac{PQ}{QR}\\ Substituting:\\\frac{24}{40}=\frac{27}{a}\\cross\ multiplying:\\a=\frac{27*40}{24}\\ a=45$

5 0

4 years ago

A theater charges $5.00 admission for adults and $2.50 for children. At one showing 240 admissions brought a total of $800. How

SOVA2 [1]

Answer:

80

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

This means that the money paid by adults and kids is $5 multiplied by x (5x) and $2.50 multiplied by y (2.5y)

This will give two equations as shown below

x + y = 240 total admissions......................... equation 1

5x + 2.5y = 800 total money paid..................equation 2

Making x the subject of formula in equation 1

x=240-y......................................................equation 3

Substituting equation 3 into equation 2

5(240-y) + 2.5y = 800 removing the brackets

1200 - 5y + 2.5y = 800 grouping like terms

-5y + 2.5y = 800-1200 simplifying

-2.5y = -400 therefore

-2.5y/-2.5 = -400/-2.5

y = 160

Substituting y into equation 3

x = 240 - y

x = 240 - 160

x = 80

Hence number of adults who attended = 80

8 0

3 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got: