A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume of the building must be exactly 4000 m^3. Write an equation for y, the height of the building, in terms of x, the length and width of the base.
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?
Answer:
20 quarts
Step-by-step explanation:
Five gallons is equal to 20 quarts.
I hope it helps.
Answer:
20 quarts
Step-by-step explanation:
in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)
How to find the radius of a cylinder with only knowing it's height and diagonal thing here
Three numbers are in the ratio 2:3:4. What are the numbers if their sum is 72?
Step-by-step explanation:
2N+3N+4N=9N
9N=72
N=72/9
N=8 ANS
hope it helps!
.......
Answer:
16:24:32
Step-by-step explanation:
2+3+4 = 9
72÷9 = 8
One part of the ratio is therefore worth 8.
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
16:24:32
Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0
Step-by-step explanation:
12/x + 6/(x-1) = 5
12(x-1) + 6(x) = 5(x)(x-1)
18x - 12 = 5x² - 5x
5x² - 23x + 12 = 0. (Shown)
The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?
Can someone please help me with this question I don’t understand it. Thank you
Answer:
it is 862.5
Step-by-step explanation:
each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?
a sixth grade football team has 3 quarterbacks, 4 running backs and 5 wide receivers what is the ratio of wide receivers to the total
Answer: 5.5
Step-by-step explanation:
Ratio
noun
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Need help id appreciate it
Answer:
x=14
Step-by-step explanation:
If the square from GAI are 6 cm, then the other half of the triangle is also 6 inches long. Because it is not an even sided triangle, all the sides shouldnt be the same size. If you multiply 6 by 2 you get 12. 7 times 6 is 42. 42 divided by 3 is 14. The value of X should be 14.
SOMEONE PLEASEEEE HELLLPP
Answer:
80ft
Step-by-step explanation:
check gogle and write the awenser down
what is an example of a dealer incentives
Answer:
a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.
Step-by-step explanation:
3 x ?
= -12
Please help
Answer:
-4
Step-by-step explanation:
Positive times a negative equals a negative.
3 × 4 = 12 so 3 × -4 = -12
Answer:
-4
Step-by-step explanation:
Can someone please help mee fast!!
Step-by-step explanation:
insta I'd :- itz_anurag_r
anyone msg me on insta plzzz I'm bored at home ❤️
An employer's accountant has announced that
the budget for the next year must be cut by
33. How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
The amount of budget cut from last year's budget which was $166,245 will be $54860.85 which is nearly $55,415 from the given option. Hence the correct option is (B).
What is the percentage?The percentage is the 1 of the hundred or simply the amount or value of any number or data in the range of 100 called percentage.
For example, if Ramesh got 87 marks out of 150 then it required a lot of attention to drawing a conclusion about Ramesh's marks but if I say Ramesh got 58% then it will be easier to think and draw any conclusion.
Given that last year budget was $166,245 and the cut was 33% so it means it will be 0.33 of the $166,245 so
$166,245 × .33 = $54860.85 but in option, it is not mentioned so the nearest answer among the option will be (B).
For more about the percentage
https://brainly.com/question/24159063
#SPJ2
-4x +8 = 12
what does x =
Answer:
x = -1
Step-by-step explanation:
-4x + 8 = 12
-8 -8
-4x = 4
divide both sides by -4
x = -1
Hope this helps!!!
Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each
Please find the percent of change rounding to the nearest tenth of a percent
Answer:
the answer is decreases
Write the following ratios in their simplest form.
27:30
Answer:
9/10
Step-by-step explanation:
Answer:
9:10
Step-by-step explanation:
27:30 = 9:10
BRAINLIEST PLEASE
What is the product of 1/2x1/8 answer first and get brainliest only have 45 minutes
Answer:
1/16
Step-by-step explanation:
1×1=1
2×8=16
Your welcome
Ingrid collect 6 cans of food and 18 boxes of food for the food bank.Which describes the relationship between cans of food and boxes of food
Answer:
Ingrid collected 3 times as many boxes as she did cans
Step-by-step explanation:
What steps would you follow in order to solve the equation?
subtract 4 on each side and divide by 8
add 4 on each side and divide by 8
add 4 on each side and multiply by 8
subtract 4 on each side and multiply by 8
Answer 259.2 -4 divided 8=-0.5+4=4.5 divided by 8=0.5625+4=4.5625x8=36.5-4=32.4x8=259.2
Answer:
bro what's the equation?
Step-by-step explanation:
1. John looked on a map to find the distance he would be driving from Austin to New York.
The distance on the map was 580 cm. If the scale for the map was lcm = 3.1 miles, what is
the actual distance between these two places in miles?
A 17,980 miles
B. 179.8 miles
C. 1,1798 miles
D. Not Here
Answer:
580×3.1 =17980 miles is answer
greatest to least 4/10, 0.50, 1/4, 0.06
Answer:
0.50, 4/10, 1/4, 0.06
Step-by-step explanation:
1/4 = 0.25
4/10 = 0.40
Answer:
OoP NVmM SoRrY- XD
Step-by-step explanation:
^^ Hopefully this works, I'm rooting for you!
A hill slopes at an angle of 12.5° with the horizontal. From the base of the hill, the angle of inclination of a 459 foot tower at the top
of the hill is 36. How much rope would be required to reach from the top of the tower to the bottom of the hill (round to the nearest
integer)?
A)
188 feet
B)
424 feet
C)
665 feet
D)
1124 feet
Answer: D. 1124
Step-by-step explanation:
Usatestpre
Solve the radical equation.
PLEASE HELPPPP
Please help me asap please
Which functions are even? Check all of the boxes that apply.
f(x) = x2 – 3x + 2
7x) = -2)
f(x) = |x|
Answer:
C) f(x) = |x|
Step-by-step explanation:
Determine if Odd, Even, or Neither
f (x) = |x|
Find f (−x) by substituting −x for all occurrence of x in f (x). f(−x) = |−x|
Make −x positive.
f(−x) = |x|
A function is even if f(−x) = f(x).
Check if f(−x) = f(x).
|x| = |x|
Since |x| = |x|, the function is even.
-3(2+4k)+7(2k-1)
A. 2k-13
b. 8k-13
c. 2k+13
d. 2k-7
9514 1404 393
Answer:
A. 2k -13
Step-by-step explanation:
-3(2 +4k) +7(2k -1)
= -6 -12k +14k -7 . . . . . . eliminate parentheses
= (-12 +14)k -6 -7 . . . . . . group like terms
= 2k -13 . . . . matches choice A
Please give me the correct answer
Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
Topping
pepperoni
sausage
onions
cheese
Number of Students
45
36
9
16
What is the ratio of students who prefer sausage to students who prefer pepperoni?
O 1:2
O 2:3
O 3:4
04:5
12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Create a function, P, that gives the amount of money that john still owes Joan after
w weeks.
12 (b) John told Joan that he will have paid her back all of the money, after making
payments for 13 weeks.. Explain why John is incorrect?
Answer:
P = 80 - 6wStep-by-step explanation:
Initial amount = $80Payment each week = $6Required function:
P = 80 - 6wTime required to pay all money. At this time P = 0
0 = 80 - 6w6w = 80w = 80/6w = 13.33Since w > 13, John needs 14 weeks
Help me please *an image is attached*
Answer:
its C
Step-by-step explanation:
Answer:
C. The graph has y-intercept - 2, not initial value - 2.
Step-by-step explanation:
Hope this helps