The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Given:
Length = 25 yd
width = 26 yd
Height = 5.1 ft
convert yard to feet
25 yd = 75 ft
26 ft = 78 ft
Volume of the pool = length × width× height
= 75 × 78 × 5.1
= 29,835 cubic ft
1 gallon = 0.134 cubic ft.
222,649.3 gallon = 29,835 ft
charges per 1000 gallon = $1.50
Total charges = 222,649.3 gallon / 1000 gallon × $1.50
= 222.6493 × 1.50
= 333.97395
Approximately,
$333.97
Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Learn more about volume:
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Solve −x−6≥−5 or −2x−5>4 and write the solution in interval notation. Note: Use improper fractions, if necessary.
Answer:
(-∞, -1]
Step-by-step explanation:
−x−6≥−5
-x≥1
x≤-1
−2x−5>4
-2x>9
x<-9/2
So x < -9/2 V x ≤ -1
Answer:
(−∞,∞)
Step-by-step explanation:
5x - 4 ≤ - 3
5x ≤ 1
x ≤ [tex]\frac{1}{5}[/tex]
4x + 6 > 0
4x > - 6
x > - [tex]\frac{3}{2}[/tex]
A choir teacher is dividing 48 sopranos and 32 altos into singing groups. He wants each
group to have the same combination of sopranos and altos, with no singers left over. What is
the area
Answer:
32
Step-by-step explanation:
x(48 - 2x) = 32
Hope it helps.
I REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS
Check the picture below.
there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.
well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180, meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).
alrighty, by the inscribed angle theorem, ∡A is half of ∡O.
let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.
[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]
now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.
[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]
[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]
A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose
A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?
It will take 2 hours for the ambulance to pass the police car.
Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:
72 x 0.25 = 18 81 - 72 = 9 18/9 = 2 72 x 0.25 + 72 x 2 = 162 81 x 2 = 162
Therefore, it will take 2 hours for the ambulance to pass the police car.
Learn more about maths in https://brainly.com/question/25818763
Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°
Answer:
96°
Step-by-step explanation:
We assume you intend ...
ΔLMN ~ ΔQRS
Then corresponding angles have the same measure:
∠M = ∠R = 26°
∠L = ∠Q = 58°
∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°
The measure of angle S is 96°.
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
The correct comparison as shown in the figures are:
QR < QSAB > CDm<FJG > m<HJGm<QSP > m<QSRFrom the given diagram, we are to fill in the blank spaces with a < or > symbol.
21) The measure of the angles is a function of the measure of the sides.
Since the angle facing the side QR is less than that of QS, hence QR < QS
22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD
23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG
24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR
Learn more on angles here: https://brainly.com/question/16281260
Pls help! The question is: You are riding a bike up Elm Trail towards Deer trail. You plan to make a left turn on to Deer trail. What is the angle measure of the turn?
Answer:
110
Step-by-step explanation:
there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110
Answer:
110
Step-by-step explanation:
x+18-3x=20 help me out
the bbc lenth is 19 which i like in my mouth an deven my throayt
WILL GIVE BRAINLIEST
Answer:
its the 2nd and the 6th one
Step-by-step explanation:
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answer:
hope this answer is right 71/45
What is social stratification?
A. Studying a person's ancestors to learn more about his or her
status
B. Ranking people based on factors such as gender, wealth, and
occupation
C. Expecting women to be responsible for nurturing families and
caring for homes
D. Displaying expensive material objects to demonstrate one's status
Answer:
The answer is B
Step-by-step explanation
It's a system ranking people in a hierarchy
Help help math math math math
Answer:
y=2/1+7
Step-by-step explanation:
A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.
Answer:
ok first we round them both
386230 is rounded to 386k
59250 is rounded to 59 k
386+59=445
445,000
Hope This Helps!!!
sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have
a- 48
b-36
c- 24
d- 12/48
e-3
Answer:
a - 48
Step-by-step explanation:
12 cups are divided into 1/4 cup bags.
Converting 12 into a fraction, you get:
12/1 divided by 1/4.
When we divide fractions, we flip the second fraction and change the operation to multiplication.
12/1 * 4/1.
Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.
12 * 4 = 48.
Help me pleaseeeeeeeeeee
Carry learning!
Stay safe!
Help help math math math
Answer:
Yes, this is a function
Step-by-step explanation:
You know this because it passes the vertical line test.
I hope this helps!
Answer:
Function
Step-by-step explanation:
HURRY!!! Please?? 12 POINTS
y = 7x
-14x + 2y = 0
The answer is no solution but please help with showing the work I’m stuck with it.
Answer:
-14x+2(7x)=0
-14×+14×=0
0=0
eight and one six minus 7 and three forths
Answer:
5/12
Have a good day!
A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?
Answer:
y=2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2(x-6)
y=2x-12+4
y=2x-8
A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting
Answer:
9 feet
Step-by-step explanation:
There are 300 students in the 6th grade class. 252 of the students have received dragon
tickets. What is this as a percent?
The percentage of students in the 6th grade class that have received dragon tickets is 84%.
Given the following data:
Total number of students = 300 studentsNumber of students with dragon tickets = 252 studentsTo determine the percentage of students in the 6th grade class that have received dragon tickets:
A percentage is used to describe or represent a portion of a given population or total number of something.
Mathematically, the percentage for the given number of students is:
[tex]D = \frac{Students}{Total\;students} \times 100\\\\D = \frac{252}{300} \times 100\\\\D=0.84\times 100[/tex]
D = 84%
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A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=-\frac{5}{4} x+2.[/tex]
Step-by-step explanation:
1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;
2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;
3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':
7= -5/4*(-4)+i; ⇒i=2, then
[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]
What is the surface area of a cylinder if the radius is 2.5 inches and the height is 5 inches?
Answer:
A≈117.81 square inches
Step-by-step explanation:
just plug it in formula.
Answer:
117.8 inches
Step-by-step explanation:
Can someone help me out? Will mark brainiest
Which angle is this could u plz tell
Step-by-step explanation:
please, this is so easy !
so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.
so,
180 = 25 + 100 + A
A = 55°
ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°
so: ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°
ANSWER: ∠CAB = 55°
ok done. Thank to me :>
Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who received the better deal? Explain.
a. How much did Trey spend on a football?
b. How much did Evan spend on a football?
c.
Who got the better deal?
Answer:
a. $38.25, b.$40.5, c. Trey
Step-by-step explanation:
A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.
a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25
b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.
c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50
Choose all the numbers that make the comparison true.
42 > __
A, 22
B, 64
C, 41
D,40
E, 40
Answer:
22, 40, 40, and 41
Step-by-step explanation:
happy to help have a nice day