Mathematics Middle School

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Answer 1

Answer:

dude you have complicated questions

Step-by-step explanation:

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The water park is a popular field trip destination. This year the senior class at high school a and high school b both planned trips there. The senior class at high school a rented filled 4 vans and 14 buses with 742 students. High school b rented and filled 4 vans and 6 buses with 350 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

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so let’s start of by setting variables for buses and vans
x = buses
y = vans

our equations will look something like this :

4x + 14y = 742 &’
4x + 6y = 350

let’s solve for y first . we need to cancel out our x’s so we turn on of them into a negative and since both of them have the same common factor we don’t need to find it . let’s multiply the bottom equation by ( -1 )

here’s what our new equations look like :
4x + 14y = 742
-4x - 6y = -350

now that our x’s are cancelled out we add our y’s and our totals :

14y + ( -6y ) = 8y
742 + ( -350 ) = 392

we want y alone so we divide :

392/8 = 49

y = 49

now we can substitute 49 for y :

4x + 14 ( 49 ) = 742
4x + 6 ( 49 ) = 350

we can multiply those numbers together :

4x + 686 = 742
4x + 294 = 350

now we add downward :

8x + 980 = 1,092

we need x alone so we subtract 980 from both sides :

8x = 112

divide by 8 :

x = 14

now , we can substitute 14 for x and 49 for y to check our work :

4 ( 14 ) + 14 ( 49 ) = 742

742 = 742 ✅

4 ( 14 ) + 6 ( 49 ) = 350

350 = 350 ✅

When I round 6396 to 3 significant figures, I get 6400. I was double checking my work and used scientific notation for 6400, which is 6.4*10³, but when I counted the significant figures in scientific notation, I only get 2, which are 6 and 4, but there were supposed to be 3. Anyone can help to explain?

Answers

This is one slight annoyance when it comes to sig figs, in my opinion anyway. You did the steps correct. The 639 bumps up to 640, so 6396 rounds to 6400 when rounding to 3 sig figs.

Normally the trailing zeros, ie zeros on the right, are not significant. So 6400 shows only 2 sig figs. What we need to do is draw a horizontal line over the first zero to show that it is significant (while the other zero is not significant)

So you'll write it like this [tex]64\overline{0}0[/tex]

This notation can be problematic when it comes to decimals because it could be easily mixed up with the repeating decimal notation.

When you convert [tex]64\overline{0}0[/tex] to scientific notation, you would get [tex]6.40 \times 10^3[/tex].

In short: [tex]64\overline{0}0 = 6.40 \times 10^3[/tex]

Here the zero is significant because the zero is present in the scientific notation result. Writing [tex]6.4 \times 10^3[/tex] shows 2 sig figs while [tex]6.40 \times 10^3[/tex] has 3 sig figs.

It's similar to how the number [tex]5.7[/tex] has 2 sig figs while [tex]5.70[/tex] has 3 sig figs. While the zero is trailing, having it after a decimal point indicates to the reader that you achieved this level of accuracy.

Answer:

This is one slight annoyance when it comes to sig figs, in my opinion anyway. You did the steps correctly. The 639 bumps up to 640, so 6396 rounds to 6400 when rounding to 3 sig figs.

So you'll write it like this

This notation can be problematic when it comes to decimals because it could be easily mixed up with the repeating decimal notation.

When you convert to scientific notation, you would get .

In short:

Here the zero is significant because the zero is present in the scientific notation result. Writing shows 2 sig figs while has 3 sig figs.

It's similar to how the number has 2 sig figs while has 3 sig figs. While the zero is trailing, having it after a decimal point indicates to the reader that you achieved this level of accuracy.

Could someone please explain what this is? (12)(12)

Answers

Answer:

Multiply 12 by 12=144

Step-by-step explanation:

Merry Christmas!!

Luke was out of cereal for breakfast. He walked to the grocery store to buy his favorite, Honey Nut Cheerios. While looking at the cereal, he noticed all the different box sizes and different prices. A giant "Family Size" box contained 14.7 oz and cost $5.99. A small, individual size contained 1.5 oz and cost $1.89. He wanted to get the most "bang for his buck." Which choice is the better buy? In other words, which choice is cheaper per ounce? Which one should he buy and why?

Answers

Answer:

The answer is the family size

Step-by-step explanation:

I had to find how much it is per ounce and for the small box it cost $1.25 per ounce and for the family size it cost $0.41 which is less than $1.25 so the answer would be the family size of Honey Nut Cheerios

Answer:

Step-by-step explanation:

please help! i made it 25 points since i got confused on this, lol.

Skylar went on a road trip to New York. On the first day of her trip. she drove 656 miles in 8 hours. What unit rate did she travel in miles per hour?

Answers

Answer:

I think its 82 miles per hour

Step-by-step explanation:

Answer:

82 miles per hour

Step-by-step explanation:

656 divided by 8, easy as that

could be written as 656 mi/8 hr

On the map below, city p and city q are 5.5 centimeters (cm) apart. What is the actual distance between city p and city q? 2cm= 35 miles

Answers

Answer:

96.25

Step-by-step explanation:

5.5/2=2.75

2.75x35=96.25

Ok so 2cm = 35 miles
Meaning ONE centimeter is 35/2, or, 17.5 miles of actual distance
And half, or 0.5 of a centimeter is 17.5/2 or 35/4, which is 8.75 miles
5 centimeters is 2 + 2 + 1 + 0.5
(35 miles) plus (35 miles) plus (17.5 miles) plus (8.75 miles) which would add up to be 96.25 miles

What point is 10 units right and 1 unit down from (-10,1)?

Answers

Answer:(0, -10)

Step-by-step explanation:

- (0,-10)
It (0,-10) unit

Solve this for fun! I already solved it, so you can give a simple answer.

Answers

is this 8th grade is it is it

The answer is abcdefghijklmnopqrstuvwxyz

What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.

Answers

Answer:

42cm

Step-by-step explanation:

42cm and show your work
Love .

Here is a balanced hanger diagram in which a circle has a mass of 3 grams and a square has a mass of 2 grams.

Which equations could represent the diagram, assuming t represents the triangles?

3c + 2s + 2t = 3c + 2s + 5t

2t + 21 = 5t + 12

3(3) + 6(2) + 2t = 2(3) + 3(2) + 5t

2t + 9 = 5t + 5

5t + 6 + 6 = 9 + 12 + 2t

Answers

Answer:

(

)

(

)

(

)

(

)

Step-by-step explanation:

What do u wanna i do?

Find each unit rate. Round to the nearest hundredth if necessary.

32. 50 miles on 2.5 gallons

33. 2,500 kilobytes in 5 minutes

34. 5 peppers for $6.45

35. 64.8 meters in 9 seconds

Answers

32. 20 miles per gallon
33. 500 kilobytes per minute
34. $1.29 per pepper
35. 7.2 meters in one second

It is c I think sorry

graph the rational function f(x)=(3x-1)/(x-5)

Answers

Answer:

graph it it is that simple

Step-by-step explanation:

At a school, 460 of the students walk to school.
The number of students who take public transit is 20% of the number of students who walk. How many students take public transit?

The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?

The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?

Answers

Answer:

There are 92 students who take public transportation

Step-by-step explanation:

There are 460 students who walk

20% of those who walk take public transportation

Students who take public transportation = 460*20%

Changing this to decimal form

Students who take public transportation = 460*.20 = 92

There are 92 students who take public transportation

Hope this helped! :)

There would be 92 kids who take public transportation

Eric buys a skateboard, and his total bill is $104. The rate of sales tax was 4%. You can solve the equation s + 0.04s = 104 to find the cost of the skateboard before tax.

Answers

sorry i really needed the points

Lucita does the division problem 3.302 ÷ -1.27, and gets -0.026. She doesn't understand this result because she had estimated the answer to be -3. What was Lucita's mistake?
A: Lucita's estimate is too low.
B:The decimal point should be to the left of the 2.
C:The decimal point should be to the left of the 6.
D:Lucita's estimate is too high.
Thank you to those who end up helping, xx

Answers

Lucita does the division problem. My dad told me you divide the biggest number. (3.302) with the little valued number (1.27) She doesn't understand not because (A) her estimate is too low.

So that leaves A eliminated.

It shouldn't be B because, you have to count the numbers to the left of the decimal.

So that leaves B eliminated.

Let's talk about D, Her estimate is too high. But, take a risk. Either choose C or D. Good luck! I really think this would help thanks to my dad's method.

Clare mixes
2 1/2
cups of water with
1/3
cup of orange juice concentrate.
—————————
How much water would she use for one cup of concentrate? (use a decimal)
—————————
How much water would she use for 10 cups of concentrate? (use a decimal)

Answers

Answer:

1. 1 cup of concentrate would use 7.5 cups of water.

2. 10 cups of concentrate would use 75 cups of water.

Step-by-step explanation:

Because 1/3 cup of concentrate is mixed with 2 1/2 cups of water, to find how much water one cup of concentrate would use, you would have to multiply both 1/3 and 2 1/2 (2.5) by 3. Then, you get 1 cup of concentrate equals 7 1/2 (7.5).

To find the answer to the next question, simply multiply by 10.

Answers

Answer:

family size

Step-by-step explanation:

Graham is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 3 millimeters.
A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.
B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.

Answers

Answer:

I just did this on my flvs exam! A:

The ordered pairs are

0,3

1,6

2,12

3,24

4,48

5,96

B: this is a function, because for each output value, there is exactly 1 input value

Step-by-step explanation:

Notice how output values are added to eachother as they increase

The band wants to order T-shirts. The T-shirts cost $15 each plus a shipping fee of $10. Write an expression to find the total cost of c T-shirts.

Answers

Answer:

t(15)+10=c

Step-by-step explanation:

x = t shirt
c = cost

(x * 15) + 10 = c

Quick question will give the brainliest away. "Jack spent 15 hours practicing his saxophone last week. He spent 3 10 of that time doing warm-up routines. How many total hours did Jack spend on warm-up routines last week?" Please shpw your work and put the answer in fraction form. PLZ I AM BEGGING YOU>

Answers

Answer:

4.5 hours or 4 1/2 hours

Step-by-step explanation:

3/10 of 15 equals 4.5

Answer:

4.5 hours or 4 1/2 hours

Step-by-step explanation:

Brainliest?

what is 8 5/6 x 15/20

Answers

Answer:

6 5/8

Step-by-step explanation:

It's free real estate bby gorl

Brandon swims several times a week in a lake near his house. This past summer, the average water temperature was 18 °C, which is 10% cooler than it was last summer. What was last summer's average water temperature?

Please explain how you got the answer. Will give brainliest to the best explained and correct answer

Answers

18 x 1.1 =19.8 c

Adding 10% is equal to multiplying by 1.1

Answer:

18 x 1.1 =19.8 c

Step-by-step explanation:

Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees does he have?

Answers

Answer:14

Step-by-step explanation:this is because 35% of 42 is 14

Answer:

14 fruit trees

Step-by-step explanation:

35% * 42 = 14.7

0.35 * 42 ≈ 14

Round it down, so 14 trees

on monday 72% of the class ordered lunch. which fraction shows the part of the class that ordered lunch?

Answers

There are no options but 72/100 or 36/50 or 18/25 or anything equal to that

The fraction showing the part of the class that ordered lunch is 18/25

What are fractions?

A fraction represents equal parts of a whole, by dividing it up into equal partitions.

Each fraction has a numerator and denominator. The denominator represents the total number of parts the whole has been divided into.

Given that, on Monday 72% of the class ordered lunch we need to find the fraction showing the part of the class that ordered lunch,

So, we know that, 72% = 72 / 100

= 36/50 = 18/25

Hence, the fraction showing the part of the class that ordered lunch is 18/25

Learn more about fractions, click;

https://brainly.com/question/10354322

#SPJ3

Hector runs laps around the track. The table shows how long it takes him to run different numbers of laps. How long would it take Hector to run 7 laps?
A.35 minutes

B.25 minutes

C. 15 minutes

D. 45 minutes

Answers

It would take him 35 minutes bro! Why? Because it’s in between the 40 and 30 from 6-8 laps. The answer is A

We can make a fraction to find out how many minutes for 1 lap. Let’s use the first ratio: 2/10 We can simplify that to: 1/5 So one lap for every 5 minutes, then we can multiply that for 7 laps: 5•7=35 So 35 minutes. The answer is A

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality? a. The sizes you can print a photo: width of photo (inches) height of photo (inches) b. The distance from which a lighthouse is visible: height of a lighthouse (feet) distance it can be seen (miles)

Answers

Answer:

I'm not sure but I've attched a link that can help you calculate unit rates: https://www.calculatorsoup.com/calculators/math/unit-rate-calculator.php

Step-by-step explanation:

Hope this helps

PLEASE MARK ME BRAINLIEST!

Mrs. Taylor is knitting socks. it takes her 1/4 hour to knit one pair of socks. She has a meeting to go to in 3 1/2 hours.
How many pairs of socks can she knit before her meeting?

Answers

Answer:

14 socks.

Step-by-step explanation:

3 1/2 / 1/4

= 7/2 / 1/4

= 7/2 * 4

= 28/2

= 14 socks.

Answer:

Step-by-step explanation:

Mrs. taylor can knit 4 socks in an hour, so if she has to go to her meeting in 3 1/2 hours, she should be able to knit 14 pairs of socks. The reason for this is in 3 hours she can knit 12 socks because 4 times 3 is 12. Then, in half an hour she can knit 2 socks because she can knit one pair in 1/4 so in 1/2 it would be 2.

(-3d + 4)(5) u guys are awesome also I don’t need a step by step equation

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Answer:

Step-by-step explanation:

Answer:

15d^4

Hope this helps

Step-by-step explanation:

6m- (7 + 4m)
ANSWER ASAP

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Answer:

=2m−7

Step-by-step explanation:

If the radius of a circle is 44 cm, then what is the diameter?

Answers

Answer:

88cm

Step-by-step explanation:

d=2r=2·44=88cm

88 cm

Diameter is 2•R
2•44= 88

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PLEASE ANsWer THiS Question in picture ⬇️ There are two

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PLEASE ANsWer THiS
Question in picture ⬇️

There are two