Using the (Transforming to Slope-Intercept Form), graph -5x + y = -3

Sam packed 42 kg of rice into one big bag and six small ones which were of the same size the small bags .each contain 1/10 of th

PilotLPTM [1.2K]

we are given

Sam packed 42 kg of rice

So, total amount of rice =42kg

And there are six small bags

each contains 1/10 of the rice

So, rice on each bags is

$=\frac{1}{10}\times 42$

$=4.2$ kg

so, total rice in 6 bags is

$=6\times 4.2$ kg

$=25.2$ kg

so, the rice in big bag = ( total amount of rice )-( total rice in six small bags)

we can plug values

and we get

so, the rice in big bag is

$=42-25.2$

$=16.8$ kg..............Answer

4 0

3 years ago

Jamal hiked on two trails. The first trail was 5 1/3 miles long and the second trail was 1 3/4 times as long as the first trail.

earnstyle [38]

Answer:

Jamal hiked = 44/3 miles

Step-by-step explanation:

Mixed numbers are given in this question which can be changed into fractions by multiplying the denominator by quotient and adding numerator to it.

Given that:

Length of first trail: 5 1/3 = (3*5 + 1)/3 = 16/3 miles

According to given condition:

Length of second trail: 1 3/4 * 16/3 = (4*1+3)/4 * 16/3 = 7/4*16/3

By simplifying:

Length of second trail = 28/3 miles

So the total miles Jamal hiked = 16/3 + 28/3

Jamal hiked = 44/3 miles

i hope it will help you!

4 0

3 years ago

What is the area of the following polygon? Explain your process for how you arrived at the final area. Show your work.

Mazyrski [523]

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

this will help you to solve

4 0

3 years ago

A random sample of 130 students is chosen from a population of 4,500 students. The mean IQ in the sample is 120, with a standard

barxatty [35]

Answer:

$120-2.614\frac{5}{\sqrt{130}}=118.85$

$120+2.614\frac{5}{\sqrt{130}}=121.15$

Step-by-step explanation:

Information given

$\bar X= 120$ represent the sample mean

$\mu$ population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=130-1=129$

The Confidence level is 0.99 or 99%, the significance would be $\alpha=0.01$ and $\alpha/2 =0.005$ , and the critical value would be $t_{\alpha/2}=2.614$