MATHEMATICS COLLEGE

SHOW WORK! PLEASE HELP ASAP IF YOU CAN :(A stack of index cards is 3/4 of an inch tall. If each card is 3/160 of an inch thick, how many index cards are in the stack?

Answers

Answer 1

Answer:

Answer:

so what you have to do first is simplify into variables

S=A 3/4 stack of index cards

C= 3/160

first you can do this with a calculator, divide 3/4 of an inch by 3/160 of an inch.

3/4÷3/160=40

Here is my work shown :)

Male the division into multiplication and swap the numbers in 3/160 to 160/3

3/4 x 160/3

For fraction multiplication, multiply the numerators and then multiply the demoninators to get

3 x 160/4 x 3= 480/12

Divide 480 by 12 which is forty

there you go :) sorry if the answers are messed up and there are spelling errors. but in conclusion the answer is 40

By the way, awesome pfp, I just started watching Toilet Bound Hanako earlier tonight and it's very good so far

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a bag contains 5 blue sticks,4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. what is probability that the stick will be blue?

You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Answers

By using ratio and proportion the problem can be solve. First assume that 10.5 in is the length of the new drawing, and let w be the width 4 / 5 = w / 10.5 W = 10.5 ( 4 / 5) W = 8.4 in So the new dimensions are 8.4 in x 10.5 in

Answer:

8.4

Step-by-step explanation:

You can make $25 for every 2 hours you work If you work for 10 hours how much will you make?

Answers

Answer:

125

Step-by-step explanation:

The answer is 125 because 25x5=125 but to get there you needed to do 2x5=10

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.)

Answers

Answer:

A task time of 177.125s qualify individuals for such training.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = (X - \mu)/(\sigma)$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so $\mu = 145, \sigma = 25$ .

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when $Z = 1.285$ .

$Z = (X - \mu)/(\sigma)$

$1.285 = (X - 145)/(25)$

$X - 145 = 32.125$

$X = 177.125$

A task time of 177.125s qualify individuals for such training.

At the zoo there were 5 times as many tigers as lion Tom counted a total of 54 tigers and lions how many.tigers were there?

Answers

Answer:

5x=54

Step-by-step explanation:

5x=54

divide 5 by both sides

x=10.8

sorry if I am wrong but I tried my best

Which fractions are equivalent to the fraction below? Check all that apply.
3/4 ??

Answers

Answer:

hi there !

The answer is "30/40"

because by dividing each nominator and denominator by "10" it gives 3/4

Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me

Answers

Answer:

115°

Step-by-step explanation:

Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.

Section B represents 32% of the pie chart, therefore, number of degrees for section B = $(32)/(100)*360 = (32*360)/(100)$

$= 115.2$

Section B = 115° (to the nearest whole number)

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