Mathematics Middle School

The ratio of girls to boys in Liza’s classroom is 5
to 4
. How many girls are in her classroom if there is a total of 27
students?

Answers

Answer 1
There are 15 girls in the classroom
Answer 2

Answer:

15 girls

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

-----> equation A

isolate the variable y

-----> equation B

Substitute equation B in equation A

you welcome  

Related Questions

a driver dove to a location 6 3/5 meters below sea level he then dove to a second location 8 1/5 meters below sea level how many meters are there between the two locatiojn

Answers

1 3/5 meters is the correct answer.

Is 2064 divisible by two for an eight

Answers

2064/2 =1032

2064/8 = 258

 it can be divided evenly by both 2 & 8

Final answer:

Yes, 2064 is divisible by two for an eight. The last digit of the number, 4, is divisible by 2.

Explanation:

Yes, 2064 is divisible by two for an eight. When a number is divisible by 2, it means it can be divided by 2 without leaving a remainder. To determine if 2064 is divisible by 2, we check if the last digit of the number, which is 4 in this case, is divisible by 2. Since 4 is even, it is divisible by 2, so 2064 is divisible by 2.

One-fourth of the girls and one-eighth of the boys in a class retake their school pictures. The photographer retakes pictures for 16 girls and 7 boys. How many students are in the class?

Answers

16 * 4 + 7 * 8
64 + 56
120


Answer: 120 students
Final answer:

The total number of students in the class is 120, consisting of 64 girls and 56 boys.

Explanation:

The question is asking for the total number of students in the class. Given that one-fourth of the girls and one-eighth of the boys retake their pictures, we can form two separate equations. Then we solve these to find the total number of girls and boys.

Let's denote G as the total number of girls and B the total number of boys.

We know that 1/4 * G = 16 (number of girls that retake their pictures). Solving this equation for G we find that G = 16 * 4 = 64 girls.

Similarly, we know that 1/8 * B = 7 (number of boys that retake their pictures). So the total number of boys, B = 7 * 8 = 56 boys.

Therefore, the total number of students in the class is G + B = 64 girls + 56 boys = 120 students.

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Im in 8th grade but taking high school classes, my algebra homework asks what m equals in the problem y=mx+b
Can someone help me and show steps on how they got it?

Answers

y= mx+b 

m = the value of the slope 

b = the y - intercept 

To solve for m or the slope you can either count the graph .. How many units it went up or down or to the right or left ..
Also know as rise / run

Other way you can do it is by ... If there are two different corrdinates given and they ask you to find the value of slope.. 
you use the formula ..   y^2 - y^1 / x^2 - x^1

For example if there is .. (-1 , -3) , (2 , 5) and you are asked to find the slope.. * I attached the picture of the example*

Hope it helps 


How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work. If the diameter of a grain of sand is about 2 x 10-4 meters and the diameter of a human hair is about 0.000025 meters.

Answers

Diameter of grain of sand is = [tex]2*10^{-4}[/tex]

Diameter of Human hair is = 0.000025

We can write it as = [tex]2.5*10^{-5}[/tex]

So the ratio of diameter of grain of sand to diameter of human hair is 
= [tex] \frac{2*10^{-4}}{2.5*10^{-5}} [/tex] = 8

So we can say diameter of grain of sand is 8 times longer than the diameter of average cell in human body.
 

Emma has 8 cookies and her friends ate 5 in all. How many is left for her

Answers

She had 8 but he ate 5 so: 8 minus 5: 8-5.
Subtract: 8-5=3
She has 3 cookies left ((and zero friends XD )) :)
ema had 8-5=3
so if she ate 5 your taking away

Which property is shown by 6 + 9 = 9 + 6?

Answers

Commutative Property of Addition
The answer is commutative  property

What value of a makes the equation true? PLEASE HELP!!!

1.7a+0.3a=45

A. a=25

B. a=245

C. a=−115

D. a=135

Answers

1.7 a+ 0.3a =45
2a =45
a = 45/ 2
a= 27.5
???

which is greater √10 or 3.2

Answers

If you find the square root of 10, you can see it is 3.16. So, 3.2 is greater than the square root of 10.

Equivalent ratio for 36/12?

Answers

Divide both terms by the greatest common factor which is 12

Then divide both terms
36/12 = 3
12/12 = 1

reducing to simplest form 
36:12 = 3:1

Suppose that a student has $150 in a band savings account at the start of the school year. Calculate the change in that savings account during the following year in case it: Growths from monthly deposit of $10 throughout the year

Answers

150 12 x 10=120+150= 270

solve for y- 4y−3=5y+2

Answers

y=−5/8 which is the answer to the equation 
 To check plug in the y value and see if it equals out
This is your problem: y-4y-3=5y+2. First, take y-4y and turn it in to -3y. Next, take 5y and put -5y instead. So your problem is looking like this so far: -3y-5y-3=2. Then, change -3 and turn it into a positive 3 at the end of the equation like this. -3y-5y=2+3. Then lets do -3y-5y which is -8y. Next, do 2+3 which is 5. Your problem looks like this -8y=5. Lastly, divide both sides of the equation by -8. Which means Y= -5/8.  Hope this helps ;)

What is 7 yards 2 feet 8 inches plus 4 yards 3 feet 7 inches

Answers

To find the sum of 7 yards 2 feet 8 inches and 4 yards 3 feet 7 inches, convert all measurements to inches, sum them up, and then convert back to yards, feet, and inches. The result is 13 yards 3 inches.

Adding Lengths in Yards, Feet, and Inches

To add 7 yards 2 feet 8 inches and 4 yards 3 feet 7 inches, follow these steps:

Convert everything to inches for easier addition. Note that 1 yard = 3 feet and 1 foot = 12 inches.7 yards = 7 × 3 × 12 = 252 inches
2 feet = 2 × 12 = 24 inches
8 inches = 8 inches
Total: 252 + 24 + 8 = 284 inches4 yards = 4 × 3 × 12 = 144 inches
3 feet = 3 × 12 = 36 inches
7 inches = 7 inches
Total: 144 + 36 + 7 = 187 inchesAdd the totals from the previous steps: 284 inches + 187 inches = 471 inches.Convert back to yards, feet, and inches:
471 inches ÷ 12 = 39 feet 3 inches
39 feet ÷ 3 = 13 yards. Therefore, we have 13 yards 3 inches.

So, 7 yards 2 feet 8 inches plus 4 yards 3 feet 7 inches equals 13 yards 3 inches.

A family of four is trying to determine what they want to do for their summer vacation and came up with three options. They have a total of $4,428.00 saved for use on the vacation. Option 1. Book a cruise at $564.00 per person and spend $182.00 for expenses getting to the port and back home. Option 2. Fly to an island getaway at $593.00 per person round-trip and spend $78.00 for getting to the airport and back home. Option 3. Spend three days at an amusement park that is 815 miles away with each ticket costing $287.00 per person, $856.00 for a hotel, and $422.00 for food and travel getting to the amusement park and back home. Once they get to their destination, the remainder of the money will be split evenly among the family members so that each person will have money to spend on souvenirs, food, and clothing. Match each option with how much money each family member will receive to spend.

Answers

option 1 =$497.5 option 2 =$494.5 option 3 =$50.5
Final answer:

After calculating the total costs for each vacation option and subtracting these from the total savings, the money left for each family member to spend on souvenirs and other expenses is: $497.50 for the cruise, $494.50 for the island getaway, and $437 for the amusement park trip.

Explanation:

To determine the amount of money each family member will receive to spend on each vacation option, we need to calculate the total cost of each option and subtract that from the total savings, then divide the remainder by four (the number of family members).

Option 1

Total cost of cruise = (4 × $564) for tickets + $182 for expenses = $2,438.

Each family member will receive ($4,428 - $2,438) ÷ 4 = $497.50 to spend.

Option 2

Total cost of flying to an island = (4 × $593) for tickets + $78 for expenses = $2,450.

Each family member will receive ($4,428 - $2,450) ÷ 4 = $494.50 to spend.

Option 3

Total cost of amusement park trip = (4 × $287) for tickets + $856 for hotel + $422 for food and travel = $2,680.

Each family member will receive ($4,428 - $2,680) ÷ 4 = $437 to spend.

I arrive home to find that my 55 foot by 35 foot basement has 18 inches of water in it.

a) If 1 cubic foot of water is about 7.48 gallons, how much water will I be pumping out of my basement?
Express your answer rounded to the nearest tenth of a gallon.
gallons

Answers

To find the volume of water in cubic feet, you would multiply length x width x height. All the measurements need to be in the same units, so multiply 18 inches x 12 inches/foot = 1.5 feet. Then to find volume, multiply 55 feet x 35 feet x 1.5 feet = 2887.5 cubic feet of water. To convert cubic feet to gallons, multiply by 7.48. 2887.5 x 7.48 = 21598.5 gallons, rounded to the nearest tenth of a gallon.

A company produces a set of blocks. It costs them $5 to make. They mark it up 300% when they sell it to a toy distributor. The toy distributor marks it up an additional 150% when they sell it to a local toy store. The local toy store marks it up in additional 200%. They have a 30% off sale. You also have a coupon for an additional 15% off. Sales tax is 8%. How much did you pay for the set of blocks?

Answers

Hello! So, the toy company makes blocks that cost $5 to make. Then, they mark it up by 300%, which is marking the price up by 4. 100% markup is doubling the price, 200% is tripling the price, and 300% marks the price up by 4. Then, the blocks would cost $20. After that, the price would be marked up by 150%, so that’s 2.5 times the price of the original. When you do $20 by 2.5, then the blocks cost $50. The local toy store will mark the block up by 200%, which as said before, is tripling the price. Then, you do 50 * 3, and then the price of the blocks is $150. Then, it gets marked off by 30% and 10% of 150 is 15, so 30% off 150 is 45. When you do 150 - 45, the difference is $105. Then, you take off an additional 15%, But you would still have to pay 85% of the original price. You would do 105 * 0.85, and then you would get $89.25 for the blocks. But that’s not all. You have to pay 8% sales tax for the blocks. You can find the tax by doing 89.25 * 0.08 and then adding the prices together. Or, you can do 89.25 * 1.08 to find the total price. Either way, the product should be 96.39. The total price you paid for the blocks is $96.39.

Hey square piano has an area of 200 ft.² how long is each side of the piano to the nearest 0.05

Answers

since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft

Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. Write an expression to show the change in Cody's account. Then simplify the expression. ((This is integers and rational numbers I really need help with this!))

Answers

C = 45 + 18 + 27 - 21 - 93 C = -24 Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C C "Cody made deposits of $45, $18, and $27 into his checking account." C = 45 + 18 + 27 "He then wrote checks for $21 and $93." C = 45 + 18 + 27 - 21 - 93 So the expression to represent the change to Cody's checking account is C = 45 + 18 + 27 - 21 - 93 Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it. C = 45 + 18 + 27 - 21 - 93 I'll add together all the deposits. C = (45 + 18 + 27) - 21 - 93 C = 90 - 21 - 93 And I'll combine the checks. C = 90 - 114 So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So C = -24 And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.

Answer:

-24

Step-by-step explanation:

45 + 18 + 27 - 21 - 93 C = -24 Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C C "Cody made deposits of $45, $18, and $27 into his checking account." C = 45 + 18 + 27 "He then wrote checks for $21 and $93." C = 45 + 18 + 27 - 21 - 93 So the expression to represent the change to Cody's checking account is C = 45 + 18 + 27 - 21 - 93 Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it. C = 45 + 18 + 27 - 21 - 93 I'll add together all the deposits. C = (45 + 18 + 27) - 21 - 93 C = 90 - 21 - 93 And I'll combine the checks. C = 90 - 114 So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So C = -24 And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.

what is the speed of a housefly in feet per second round to the nearest hundreth

Answers

1 mile = 5280 feet 4.4 * 5280 = 23232 1 hour = 60 minutes 23232 / 60 = 387.2 feet/second

Final answer:

A housefly's speed, known for its rapidity, is about 5 miles per hour. However, when converted to feet per second, this equates approximately to 7.33 feet per second.

Explanation:

A housefly is known for its remarkably fast speed of flight. By observing a housefly, a scientist could measure the time between each movement. Given that a fly's wings beat so rapidly, measurements often need to be made in milliseconds or 10-3 seconds.

The speed of a housefly has been recorded at approximately 5 miles per hour, but to convert this to feet per second round to the nearest hundredth, we could use the conversion factor of 1 mile equals 5280 feet and 1 hour equals 3600 seconds.

Therefore, the speed of a housefly in feet per second would be: (5 x 5280) / 3600 = 7.33 feet per second

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3.014 rounded to the nearest tenth

Answers

3.01
or you can write
3.010
3.010 or 3.01.I'm learning this too! You're welcome for answering your quesiton:)

From least to greatest 56.03 56.3 56.14 57.1

Answers

56.03,56.3,56.14,57.1


56.3 is 56.30 so that shows its smaller than 56.14 but bigger than 56.03. 57.1 is the greatest since its a whole number bigger

The order from least to greatest is -

56.03

57.1

56.14

56.3

We have some decimal numbers.

We have to arrange them from least to greatest.

What is Decimal ?

A decimal is a number that consists of a whole and a fractional part. For example -  44.2 has its whole part as 44 and its fractional part as 0.2.

According to question, we have the following decimal numbers -

56.03

56.3

56.14

57.1

Arranging them in the order of their increasing value, we get -

56.03

57.1

56.14

56.3

The order from least to greatest is -

56.03

57.1

56.14

56.3

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What's 6.16 x 10^6 in standard form?

a.6,160,000
b.61,600,000
c.601,600,000
d.616,000,000

Answers

The correct answer is option a.
6.16 x 10^6  = 6,160,000
10^6 = 1000000
6.16 = 616/100
616/100 x 1000000 =6160000
So, the standard form of 6.16 x 10^6  is 6,160,000

Equation with 6 operations?

Needs:
( ) +x➗– exponents

Answers

Alright, so using the distributive property, we can have
 2*(2+2)-2*(2+2)+2*(2^2)-2*(2^2)=0 by cancelling them out!

Jasmin answered ¾ of the questions on her test correctly. If there were 48 questions on the test, how many did she get correct?

Question 8 options:

12


24


36


48

Answers

To find 3/4 of 48, multiply 48 by the decimal form of 3/4.

0.75*48=36

Final answer: 36

Find the sum of 3 - 7i and 8 + 4i.

Answers

Thanks for your equation!

This problem seems tricky, but is pretty simple.

All we have to do is add:

3 - 7i + 8 + 4i

And combine like terms:

-3i + 11

Hope this helps!
This problem looks tricky but in truth is very simple:
You simply add 3-7i+8+4i
You combine terms and it equals to- 11-3i

Dingane has \$8.00$8.00dollar sign, 8, point, 00, and exactly 30\%30%30, percent of that money is from 555‑cent coins. How many 555‑cent coins does Dingane have?

Answers

If Dingane has $8.00, and thirty percent of that money is from five cent coins, then 8 x 0.3 = $2.40 of Dingane's money is made of five cent coins. In this case the number of five cent coins is the number of cents divided by five: 240/5 = 48. Therefore, Dingane has forty-eight five-cent coins.
Final answer:

Dingane has approximately 0.432 or about 0.432 555-cent coins.

Explanation:

To find out how many 555-cent coins Dingane has, we need to determine 30% of $8.00.



We can do this by multiplying $8.00 by 30% or 0.30.



30% of $8.00 is calculated as:



Multiply $8.00 by 0.30: $8.00 x 0.30 = $2.40.



So, Dingane has $2.40 worth of 555-cent coins.



To determine how many 555-cent coins this is, we need to divide $2.40 by the value of each coin.



Note that 555 cents is equal to $5.55.



So, we can divide $2.40 by $5.55 to find the number of 555-cent coins.



The number of 555-cent coins Dingane has is calculated as:



Divide $2.40 by $5.55: $2.40 ÷ $5.55 ≈ 0.432.



Therefore, Dingane has approximately 0.432 or about 0.432 555-cent coins. Since coins cannot be divided, we can round this down to 0.

Use perfect squares to find the Approximate of √15

Answers

2^2 = 4
3^2 = 9
4^2 = 16

so, 4 is the answer because 16 is closest to 15 and is a perfect sqaure

An antelope Can run at a speed at 61 mph. What is the speed in yards per second? Round to the nearest hundredth.

Answers

61miles/hour times 5280ft/1 miles times 1yard/3feet times 1hour/60 minutes times 1 minute/60 seconds

331 students went on a field trip.Six buses were filled and 7 students traveled in cars.How many students were in each bus?

Answers

331-7=324
324/6=54 
There were 54 students on each bus. Hope this helps.
You take 331 and subtract it by 7 and you would get 324
Then take 324 and divide it by 6 because thats how many buses were used
You would get 54.

Your answer would be 54 people on each bus.

Hope this helps!

kelly wants to buy 5.6 feet of wood for a bookshelf. the wood cost 3.25 per foot. of kelly has 18.50 to spend, how much change will she receive

Answers

5.6 x 3.25 = 18.20 ( total cost of the wood )


18.50- 18.20 = 0.30

 she will have 30 cents left

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Follow these guidelines for writing the essay.GuidelinesGathering and evaluating sourcesRefer to online resources or books in a library on the relevant topic in order to write the essay.Make sure you look for the date and the author of the resource and check whether the resource provides valid information that is useful in writing the essay.You can refer to this article or search for other web pages like it to find out more about evaluating sources.Developing a thesis or argumentYour essay should be built around a thesis statement, or the main argument.The thesis statement should be well supported by your research and the text you are analyzing.This article will provide you with more information on thesis statements and developing a topic.Writing the essayConsult this resource for guidelines when writing an analytical essay.The structure and language of your essay should be your own. Read these guidelines on how to avoid plagiarism. 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