It will take 5 hours to pump 60000L of water using 9 pumps
Data;
10 pumps = 40000L in 3 hours9 pumps = 60000L in x hoursRate of the PumpRate = Time * number of pumps
[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]
But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.
Rate = time * number of pumps
[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]
It will take 5 hours to pump 60000L of water using 9 pumps
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I need help please , help me :(((
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what is the vertex of the graph of the quadratic function f(x)= x^{2} + 6x + 10?
Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - [tex]\frac{6}{2}[/tex] = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Given the perimeter of a square is (8x-6). What is the area,in cm², of the square ?
Answer:
16x² - 24x + 9
Step-by-step explanation:
One side = (8x-6)÷4
One side = 2x - 3/2
Area = (2x-3/2)(2x-3/2)
Open the brackets
2x(2x-3/2) - 3/2(2x-3/2)
= 16x² - 24x + 9
How many solutions to this
Answer:
one-solution
Step-by-step explanation:
1-12-3b=-3b+15
-11-3b=-3b+15
-3b=-3b+15+11
3b-3b=26
b=26
help solve please i will mark as brainliest
Answer:
4736 feet
(48×32/2)×2
(40×40)×2
Baruti, a ranger in Kruger National Park in South Africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatter plot. A line was fit to the data to model the relationship.
10
10
20
20
30
30
40
40
50
50
40
40
80
80
120
120
160
160
200
200
240
240
280
280
320
320Shoulder height (cm)Foot length (cm)
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
y
^
=
6
x
−
20
y
^
=6x−20y, with, hat, on top, equals, 6, x, minus, 20
(Choice B)
B
y
^
=
6
x
+
20
y
^
=6x+20y, with, hat, on top, equals, 6, x, plus, 20
(Choice C)
C
y
^
=
3
2
x
−
20
y
^
=
2
3
x−
The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:
y = 5.71x - 5.65.
How to obtain the linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are defined as follows:
m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the numeric value of y when x = 0.From the image given at the end of the answer, two points of the line are given as follows:
(15, 80) and (50, 280).
Given two points, the slope is obtained as the change in y divided by the change in x, hence:
m = (280 - 80)/(50 - 15) = 5.71.
Hence:
y = 5.71x + b.
When x = 15, y = 80, hence the intercept b is obtained as follows:
80 = 5.71(15) + b
b = 80 - 5.71(15)
b = -5.65.
Hence the equation is given as follows:
y = 5.71x - 5.65.
Missing InformationThe graph is given by the image shown at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
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CAN SOMEONE PLEASE HELP
i think the right answer is 4
How many cubes are there
Answer:
there are 9 cubes
make me brainliest if u r satisfied
Answer:
there are 9 cubes
:) ㅡㅡㅡㅡㅡ
The difference of 16 and a number, divided by 2
Answer:
8
Step-by-step explanation:
Answer:
16 - x ÷ 2(16 - x) ÷ 216 - (x ÷ 2).Step-by-step explanation:
Difference meaning (Math):
Subtracting 2 numbers.If that's the meaning, equation should be:
16 - x ÷ 2.Remember:
Parenthesis are sometimes required.(16 - x) ÷ 216 - (x ÷ 2).f(x) = 2x
g(x) = 8a
Find (f.g)(x). Assume x 20.
A. (fºg)(x) = 8x
B. (fºg)(x) = V10x
V
C. (fºg)(x) = 412
O D. (f.g)(x) = 4x
Answer:
whats the exact question screen shot it but i think *{{76 you have to {{ it since its a ombre
Step-by-step explanation:
Given the function below, find f (3/2). f(x) = 2x^2 - 7x
Answer:
3 has to be 3
Step-by-step explanation:
n neg so 3
Howard slept from 9 PM until 6 AM the next morning how many minutes did he sleep
Answer:
540min
Step-by-step explanation:
he slept for 9 houres so convert that to minutes.
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
Answer:
x = 90Step-by-step explanation:
Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.
(1/2)x = 45
x = 45 * 2
x = 90
--------------------
check
90 : 2 = 45
the answer is good
Your answer is [tex}x = 45 * 2x = 90[/tex]
x = 45 * 2
x = 90
90 : 2 = 45
Hope this helps
Sorry if the thing says alot of "tex". Trying something new
pls help! only if ur sure of the answer tysm
Answer:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
Step-by-step explanation:
B) [tex]f(x)=27(\frac{1}{3})^x[/tex]
[tex]f(0)=27(\frac{1}{3})^0=27[/tex]
[tex]f(1)=27(\frac{1}{3})^1=9[/tex]
[tex]f(2)=27(\frac{1}{3})^2=3[/tex]
[tex]f(3)=27(\frac{1}{3})^3=1[/tex]
[tex]f(4)=27(\frac{1}{3})^4=\frac{1}{3}[/tex]
Given the volume of the cone below, identify the radius, height, and diameter.
Note: Figure is not drawn to scale.
Given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmWhat is the Volume of a Cone?Volume of a Cone = 1/3 × πr²h
Given that the volume of the cone is: 60π
Thus:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 2(6) = 12 cmThus:
Volume = 1/3 × π × 6² × 5
Volume = 1/3 × π × 6² × 5 = 60π
Therefore, given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:
Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cmLearn more about volume of cone on:
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Answer:
Here is the answer as a picture.
Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he give the cashier $20.00? *
Answer:
$13.70
Step-by-step explanation:
20 - 2.25 x 2.8
20-16.3 = 13.7
Which is the correct formula to find the area of triangle AED?
area of a triangle = 1/2 • CD • AE
area of a triangle = 1/2 • AE • DE
area of a triangle = 1/2 • CE • AE
area of a triangle AED = AE • AE
Please help! I will reward brainliest for the right answer ^^
Answer:
area of ΔAED = 1/2 · AE · DE
Step-by-step explanation:
Area of a triangle = 1/2 x height x base
From inspection of the diagram for triangle AED:
height = AEbase = DETherefore, area of ΔAED = 1/2 · AE · DE
Jake wants the profile of a hotel he is planning to be a right triangle with the dimensions shown. The city prohibits structures over 100 ft at the location where he would like to build. Can the hotel be located there? Explain
The height of the building is 96 ft., hence the building can be located there.
Sine ruleSine rule is used to show the relationship between the sides and angles of a triangle it is given by:
a / sin(A) = b / sin(B) = c / sin(C)
A, B, C are the angles and a, b, c are the sides opposite the respective angles.
Let A represent the angle opposite side 120 ft., hence:
120/sin(A) = 200/sin(90)
A = 36.9°
Let h represent the height of the building, hence:
h / sin(36.9) = 160 / sin(90)
h = 96 feet
The height of the building is 96 ft., hence the building can be located there.
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What is the value of 1500 ÷ (62 + 4 ) · 37
Answer: 27750/31
Step-by-step explanation:
We first solve for what's in the parenthesis.
= 1500/66*37
Next we do division.
= 750/31*37
Lastly we do multiplication.
= 27750/31
Answer:
0.61425061425
Rounded: 0.61
Step-by-step explanation:
Following PEMDAS
(62+4)=66
66 times 37= 2442
1500 divided by 2442
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a club?.
Answer:
52-1=51+1=52/4=13/4=3
answer: 1 out 0f 52
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: I took the test
Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:
y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?
=====================================================
Explanation:
I'm assuming you meant to write $10,600 instead of $10,6000.
We'll replace y with this value and solve for x.
[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]
Use the quadratic formula with a = -1, b = 50, c = -600
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]
We go for the smaller x value because the question asks "what is the least amount she can raise the price?".
If she raises the price by $20, then she would estimate to make about $10,600.
An armchair was purchased for a cost price of $380 and marked up to a retail price. It was then
discounted by 10% to a sale price of $427.50 . What is the percentage mark-up from the cost price
to the retail price?
Answer:
17.764% up
Step-by-step explanation:
i hope this helped
The required percentage markup from the cost price to the retail price is 1.25%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.
Now, the cost of the armchair is given $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%
Thus, the required percentage markup from the cost price to the retail price is 1.25%.
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After lunch.my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?
Answer:
-0.875 that is the answer
Step-by-step explanation:
(1/8)-1=-0.875 that's the answer
l=8cm b=6cm h=5cm
find the total surface area and volume of cuboid
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.
Answer:
960 pennies or $ 9.60
Step-by-step explanation:
2400/2.5 = 960 pennies
What is the ratio for sinM (Look at the picture)
A) 7/24
B) 7/25
C) 25/24
D) 24/25
Answer:
B) 7/25
Step-by-step explanation:
sin M = opposite/hypotenuse = 7/25
x: -2, 0, 2, 4, 6
y: 3, 3, 4, 4, 5
Function or Not a function?
can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo
Answer:
280.8
Step-by-step explanation:
use the pythagorean theorem to find x
225^2 + 168^2 = x^2
[tex]\sqrt{168^{2} + 225^{2} }[/tex] = x
280.8
What would the answer be, also how do I work it out ?
Answer:
The distance is √58
or 7.61577...
Step-by-step explanation:
If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.
It would be 7 units tall and 3 units wide.
7²+3²=49+9=58
The distance is √58
What is the solution to the system of equations?
y=2x-7
y=-x+5
Answer:
(4, 1 )
Step-by-step explanation:
y = 2x - 7 → (1)
y = - x + 5 → (2)
substitute y = 2x - 7 into (2)
2x - 7 = - x + 5 ( add x to both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
substitute x = 4 into either of the 2 equations
substituting into (2)
y = - 4 + 5 = 1
solution is (4, 1 )