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Deffense [45]
3 years ago
7

Brad buys two packages of mushrooms which mushrooms cost less per pound, $11.25 for 2/3 pounds and $7.99 for 1/2 pounds. Pls hel

p meh
Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

Answer:

$7.99 for 1/2 pounds cost less per pound

Step-by-step explanation:

we know that

The unit rate is equal to divide the total cost by the total weight

step 1

Find out the unit rate of the first package

$11.25 for 2/3 pounds

The unit rate is

11.25:\frac{2}{3}=\frac{33.75}{2}=\$16.875\ per\ pound

step 2

Find out the unit rate of the first package

$7.99 for 1/2 pounds

The unit rate is

7.99:\frac{1}{2}=\frac{15.98}{1}=\$15.98\ per\ pound

therefore

The second package cost less per pound

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Which number should replace the question mark in the number grid below?
-Dominant- [34]
B. 5

Each row across (left to right) adds up to 43
4 0
2 years ago
Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
2 years ago
Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0
2 years ago
Which of the following number sentences show the correct method to find 43% of 59 Select TWO that apply.
Helen [10]

Answer:

a and b

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP!!! Number 2, and 4 please!! (YOU HAVE TO FIND THE SURFACE AREA OF THE PRISM)
Elenna [48]

The answer for 2 is 192. The answer for 4 is 672.

8 0
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