Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
A tub is filled with 18000 cm3 of water. It loses one-tenth of its water every 12 hours. What volume of water would be remaining in the tub at the end of 5 days
Answer:
0 cm³
Step-by-step explanation:
the lost of water =
(5×24)/12 x 1/10 × 18000
= 10/10 × 18000 = 18,000 cm³
so, the remaining water in the tub=
18,000 - 18,000 = 0 cm³
(the tub is empty)
How do you find the area of a circle???
Find the circumference of a circle with a radius of 6 inches.
Answer:
C≈37.7
Step-by-step explanation:
C = 37.68
Step-by-step explanation:
6×2 = 12
C = pi d
C = 3.14 × 12
C = 37.68
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110
Answer: (a)
Step-by-step explanation:
Given
The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used
for 600 kWh in a month, [tex]b(x)[/tex] is
Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]
[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]
Therefore, the bill for a person is [tex]\$80[/tex]
Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None
Answer:
SAS
Step-by-step explanation:
calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years
Answer:
Compound interest = Rs 1,575 (Approx.)
Step-by-step explanation:
Given:
Amount invested = R.s 6,500
Rate of interest = 7.5% per annum
Number of year = 3 year
Find:
Amount of compound interest
Computation:
Compound interest = P[(1+r)ⁿ - 1]
Compound interest = 6500[(1+7.5%)³ - 1]
Compound interest = 6500[(1+0.075)³ - 1]
Compound interest = 6500[(1.075)³ - 1]
Compound interest = 6500[1.2423 - 1]
Compound interest = 6500[0.2423]
Compound interest = 1574.95
Compound interest = Rs 1,575 (Approx.)
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
how many seconds are in a whole week?!
A. 200,400
B. 406,800
C. 604,800
D. 605,800
E. 604,000
Answer:
E 604,000
Have a nice day
MATH PLEASE HELP ! PLEASE
Answer:
wait I am solving this
Step-by-step explanation:
mark it as the brainliest to get the answer
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
How many distinct "pieces" are in this graph?
Answer:
2
Step-by-step explanation:
the first point and where the line turns
explain how you can determine if a triangle is a right triangle. (make it look like a middle schooler wrote it :) )
Answer:
if one of the angles is 90°
Step-by-step explanation:
when it has an angle that is 90° that means that it is a right triangle
let me know if you need more b/c I wasn't sure whether to make it more advanced for middle school lol
Hope this helps! :)
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
the correct answer is 32
Find the approximate surface area of the cylinder below. Round your answer to the nearest tenth.
Lateral
7cm
5cm
cm?
Solve for x.
2x + 4
4x - 88
x = [?]
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
Explanation:
We'll use this formula
S = (x/360)*A
where,
S = area of pie slice, aka sectorx = central angle in degreesA = area of full circleWe'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
------------
Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.
What is the value of x?
56
89
360
104
If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Given the measure of three angles 124°,76°,71°.
We are required to find the value of x which is an angle of a quadrilateral.
Quadrilateral is a figure or shape that is having four sides and four angles.
We know that the sum of all four angles of a quadrilateral is 360°.
So the following expression will appear from the above rule:
x+124+76+71=360
Now solve the aove expression for the value of x.
x+271=360
x=360-271
x=89
Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Learn more about angles at https://brainly.com/question/25716982
#SPJ1
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much money will I have to pay back?
What decimal is equivalent to 8%?
Answer:
$464 (0.08 is the decimal form of 8%)
Step-by-step explanation:
Answer:
The Answer is 0.08 Just did the Question
Step-by-step explanation:
How could I solve this equation by dividing first? 4(x+7)=40
Answer:
You could divide 4 from both sides first
simplify
[tex] \sqrt{12} [/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Finde the valu of x if 1+x=0
Answer:
x = -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
X=-1
Because,
If we add 1+(-1)
It would be 0.
Can someone help me with this ?
Answer:
Step-by-step explanation:
the side opposite of K is JL.
When a warehouse opened, it had an inventory of 6,000 items. Every month, the inventory increases by 3,000 items.
Which graph has the most appropriate scales and units for this situation?
Answer:
Step-by-step explanation: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you