Answer questions 1, 2, 3 and challenge

Answers

Answer 1

Answer: 1. find volume
V=LWH
V=25*13*14
V=4550
each covers 1000
how many will cover the whole thing?
we can't put 4 becuase that leaves 550 uncovered
add another

5 is answer (it is too much , but at leas not too little) answer is D

2.
V=LWH
V=6*4*10
V=240

answer is D

3. count how many are there, don't forget the hidden ones
13 cubes
volume=legnth tiems width times height
cubes so
v=side^3
side=3
3^3=27
13 cubes
13*27=351 in^3

challenge (this is meant to challenge you, not for you to ask people, but I will solve anyway, robbin you of experience)

V=LWH
V=5880
H=30
5880=LW30
divide both sides by 30
196=LW
they have square bases so L=W
196=L^2
sqrt both sides
14=L=W
the side legnth is 14in

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What is the number 2,305,012 written in expanded notation?
3X minus 2 X equals 40
You are fencing in an area to make a garden. You only have 150 feet of fence. You want the length of the garden to be at least 40 feet. You want the width to be at least 5 feet. What is the graph showing the all of the possible dimensions your garden could have?
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You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger ale. How many more cupsof fruit juice do you need to keep the correct ratio.

Answers

To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x= $(12*3)/(8)$
x= $(36)/(8) \n x=4.5$
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.

Original price $110 new price$96. What is the percent change?

Answers

110-96=4
4/110=x/100
400/110=x
x=3.64% (when rounded to the nearest hundredth)

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply. This function can be represented by the quadratic equation f(x)=0.15(x+60)^2 This situation can be represented by the exponential function f(x)=60 x 1.15^x This function has no x-intercept After 4 years the value of the investment will be $120.00 After 6 years the value of the investment will be $653.00 After 7.86 years the value of the investment will be 3 times the initial value After 8 years the value of the investment will be $184.00

Answers

Given:
initial investment = $60.
increase in value by 15% each year

The function that best represents the above problem is: f(x) = 60 * (1.15)^x

f(4) = 60 * (1.15)⁴ = 60 * 1.75 = 105.00
f(6) = 60 * (1.15)⁶ = 60 * 2.31 = 138.60
f(7.86) = 60 * (1.15)⁷.⁸⁶ = 60 * 3 = 180
After 7.86 years the value of the investment will be 3 times the initial value
f(8) = 60 * (1.15)⁸ = 60 * 3.06 = 183.60
After 8 years the value of the investment will be $184.00

Ayesha has a theory about two digits numbers that have a larger tens digit then ones digit.she says that reversing the digits and subtracting the reversed number from the original number will always generate a number that is multiple of 9.is ayesha right?if so why do you think this works?if not,why not?

Answers

Answer:

Yes she is right

Step-by-step explanation:

Given that Ayesha has a theory about two digits numbers that have a larger tens digit then ones digit.she says that reversing the digits and subtracting the reversed number from the original number will always generate a number that is multiple of 9.

The reason is as follows: Let x be in 10th digit and y be in unit digit.

x>y

10x+y will be the place value.

If reversed we have 10y+x would be the value of the number

Difference would be

$10x+y-(10y+x)\n=9x-9y\n=9(x-y)$

Hence this has to be a multiple of 9.

Yes she is right. It works because the sum of the individual digits of the difference is divisible by nine.

The theater arts committee estimated that it would sell 200 tickets for its upcoming play. The committee actually sold 224 tickets. What was the percent error in the committee’s estimate? Round your answer to the nearest tenth of a percent.

Answers

12 % ur welcome hope it helps

Mrs lane took a survey of the types of pants her students were wearing. She collected the data of the types of pants her students were wearing, what percent of her students were wearing shorts? 10 were wearing jeans, 9 were wearing shorts and 2 were wearing capris.

Answers

It is always important to go through the given problem first to get a concept of the requiremement. Then all the information's available from the question has to be noted down in such a manner that there would be no need to look at the question while solving.
Total number of students wearing jeans = 10
Total number of students wearing shorts = 9
Total number of students wearing capris = 2
Then the total number of students surveyed by Mrs Lane = (10 + 9 + 2)
= 21
Now percentage of students wearing shorts = (9/21) * 100
   = (3/7) * 100
   = 300/7
   = 42.85 percent
So a total percentage of 42.85% of the students were wearing shorts.

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