The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
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
A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?
Answer:
The total distance traveled by the car is 330 miles.
Step-by-step explanation:
The circular track is the circumference of circle with radius 1.5 miles.
Circumference of a circle = 2[tex]\pi[/tex]r
Thus,
Circumference of the track = 2 x [tex]\frac{22}{7}[/tex] x 1.5
= 9.4286571429
Circumference of the track = 9.4286571429 miles
But, one complete revolution by the car is the circumference of the track.
i.e One complete revolution round the track = 9.4286571429 miles
Therefore,
35 complete revolutions round the track = 35 x 9.4286571429 miles
= 330 miles
The total distance traveled by the car is 330 miles.
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.
Several large bowls are containing various amounts of tangerines on a table. When 12 of the bowls each had 8 more tangerines added to them, the mean (average) number of tangerines per bowl increased by 6. How many bowls of tangerines are on the table?
Answer:
4
Step-by-step explanation:
SOMEONE PLEASEEEE HELLLPP
Answer:
80ft
Step-by-step explanation:
check gogle and write the awenser down
what is the lenght of AB
Answer:
Uh I need more information to answer that.
Step-by-step explanation:
u only posted this: what is the lenght of AB. That isn't even how u spell length,
AB could be anything.
Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
Answer:
If he pitched 35 games then he will win 28 of his games.
Step-by-step explanation:
You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8
Then you multiply and you have your answer!
Which situation best represents the equation below? 324-90x=250 A. Jamal has $324 in his bank account. He makes a payment to his gym every month. If he has payed his gym memeber ship for 5 months, how much is his gym membership per month if he now inly has $250? B. Sergios's parents deposit $90 every week to his checking account. If he started with $324, in how many weeks will Serigo checking account have $250? C. David spent $90 for a shirt and pants. If he only had $324, how much money will be left in his bank account? D. John has $324 in his bank account. He withdraws $90 each week. After how many weeks will he have $250 in his bank account?
Answer:
D
Step-by-step explanation:
324 - 90x = 250
John starts with $325, and withdraws (takes out) $90 each week (x represents number of weeks).
Express scientific notation (9.6 × 10^3) × (6.7 × 10^3)
Answer:
i got 6432
Step-by-step explanation:
i just put it in to my calculator
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?
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
Can someone please help mee fast!!
Step-by-step explanation:
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McDonalds sold 7 boxes of chicken nuggets for $25.90 Burger King sold 3 boxes of chicken fingers for $11.07. Which food item has a higher unit price? (1 Point McDonalds O Burger King.
Answer:
burger king
Step-by-step explanation:
math
HELP! WILL GIVE BRANLIEST!
Answer:
44.71 kilometers
Step-by-step explanation:
Answer:
I would say 44.71 kilometers
Step-by-step explanation:
When you add all those values together you get 44.71.
If f(x)=x²-16 is continuous at x = -4, find f(-4).
Answer:
0
Step-by-step explanation:
f(-4) means x = -4 so then plug -4 into the function.
y = -4²-16
y = 0
Answer:
f(-4) =0
Step-by-step explanation:
f(x)=x²-16
Let x = -4
f(-4) = (-4)^2 -16
= 16-16
= 0
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
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:
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
Please find the percent of change rounding to the nearest tenth of a percent
Answer:
the answer is decreases
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. :)
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P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answer:
Step-by-step explanation:
360
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 1 – 5?
A . 6
B . 5
C . 4
D . 3
HELP ASAP
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)
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
Determine whether the mapping diagram shown below represents a
function
27 points
Answer:
Not a Function
Step-by-step explanation:
Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest
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.
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
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
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Which of these functions are linear?
Choose all that apply.
Ay+ 4 = 2x
By=3-x?
с
X
0
1
2
3
4
у
-1
-0.5
o
-0.5
-1
D
X
-2
2.5
wlo
1
3.25
2
3.5
у
2.75
E
-51
-2
2
F
Lauren broght cupcakes for class of 24 students including herself. Each person received 1 cupcakes. Cupcakes come in pack of 7
Answer:
4 Packs
Step-by-step explanation: 24 put into groups of 7: there will be 3 full groups (three groups of seven) and one group will have only three in it. Therefore, 4 packs will be emptied. Hope this helps you !