Mathematics Middle School

Please show your work with each expression. Simplify.

6a - 2b^2 a=9 b=5

4d^3 + 6e^2 - 8d ÷ 2 d=2 e=3

5r^2 ÷ 4 + 4s ÷ 3r r=4 s=9

Answers

Answer 1
(replace the variables) 6(9)-2(5)^2
(simplified) 54-10^2.... 54-100=-46

Related Questions

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 


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

Dave wants to make a stone walkway.the rectangular walkway is 4 feet wide and 12 feet long. Each 2 foot by 2 foot stone covers an area of 4 square feet . How many stone covers an area of 4 squares feet. How many stone will Dave need to make his walkway?

Answers

A=L×W 
1)Area of walkway
4×12=48

2)Area of stone
2×2=4

3)Divide
48÷4=12

12 stones

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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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!

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.

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
???

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

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

Can someone please help me with this math question?(asap:)

Answers

so i would make this into a proportion, 29/30= 150.80/x 
now we cross multiply, 29x= 4524, then we divide 156 is the price at store b. so the second portion we do 156- 150.80= 5.20, we save $5.20 

:)

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.

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.

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

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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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

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 ;)

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.

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.

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!

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

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.

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

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

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

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

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.
 

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:)

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

Answers

Commutative Property of Addition
The answer is commutative  property

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.

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.
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