The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate, x
(gal/hr)
Time, y
(hours)
60
300
45
400
36
500
30
600
How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?
100 hours
150 hours
180 hours
200 hours
Answer:
C
Step-by-step explanation:
The number of hours to fill the pool will be 180. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate (gal/hr) Time (hours)
x y
60 300
45 400
36 500
30 600
Then the amount of liquid in the pool will be
⇒ 60 x 300
⇒ 18,000 gallons
If this much liquid is filled with hose that has a rate of 40 gallons per hour, then the number of hours will be
⇒ 18,000 / 40
⇒ 450 hours
Then the number of hours if two hoses are used to fill the pool that one has a rate of 40 gallons per hour and one has a rate of 60 gallons per hour will be
1/T = 1/450 + 1/300
1/T = 1 / 180
T = 180 hours
Then the number of hours to fill the pool will be 180.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Choose 3 values for x that would make this inequality true. 24 > 2 ( x + 2)
hehehehehehelppppppppp
Answer:
19.25 cm.
Step-by-step explanation:
I multiplied 7.7 by 2.5 and got 19.25 cm. Plus, you should have a higher chance of getting it right since it measures 7.7 cm in length
(For the people who need the actual answer, It's 19.25 ft.)
Which equation correctly solves the formula of r? 4πr^2h
The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
How can the value of r be computed?The concept here is the concept of subject of the formula.
The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).
The formula given was A=4πr^2h, then we can r the subject of the formula as
r^2 = A /4π
Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]
Therefore, option B iscorrect.
Learn more about equation at:
https://brainly.com/question/2972832
#SPJ1
missing options:
A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π
HELP QUICK
What is the solution to the equation square root n = square root 3n - 3 + 1
n=-4, n=-1
n=-1
n= 1
n = 1, n = 4
Answer: it's c
n = 1
Step-by-step explanation:
Find the measure of angle A,
Calculate a margin of error with sample size 1025 and a standard deviation of 1.5.
Answer:
385
Step-by-step explanation:
-|-5| what is the absolute value
Answer:
-5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
negative times negative equals positive
On the grid, draw graphs of y=x+2 and x+y=3
Answer:
The image shows the answer and below I will explain more about it.
Step-by-step explanation:
To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)
so for these questions all we do is:
y=0+2 (we are putting x=0 into the equation)
y=2, x=0 so this is the first of our set of coords:
0=x+2
x=-2 y=0 (we are putting y=0 into the equation)
so all you do is plot these in and draw a line which passes between both,
now just repeat for the other one :)
A rectangular room measures 12 feet by 10 feet. How many square yards of carpet are needed?
The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?
find the arithmetic mean and geometric mean of the set of numbers
{3, 7}
Arithmetic mean ________
Geometric mean ________
A. 21/2
B. 5
C. 21
D. 10
Answer: See explanation
Step-by-step explanation:
The arithmetic mean will be gotten by adding the numbers together and dividing them by 2. This will be:
= (3 + 7)/2
= 10/2
= 5
Geometric mean will be:
= ✓3 × 7
= ✓21
= 4.59
Fill in the blank with a number to make the expression a perfect square.
[tex]x {}^{2} + 12x + |?| [/tex]
coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2)?
An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.
How to determine an equation of this line?Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the information provided, we have the following points on line g:
Point = (-3, 6)
Point = (0, 5)
Next, we would determine the slope of line g as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 6)/(0 - (-3))
Slope, m = -1/3
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
-1/3 × m₂ = -1
m₂ = 3
At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-2) = 3(x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
Read more on slope here: brainly.com/question/3493733
#SPJ1
The diagonals of a quadrilateral ABCD intersects each other at the point O such that AO/BO=CO/DO.Prove that ABCD is a trapezium.
Answer:
Step-by-step explanation:
To prove that a quadrilateral ABCD is a trapezium when the diagonals intersect at a point O such that AO/BO=CO/DO, we can use the fact that opposite sides of a trapezium are parallel.
First, let's draw a diagram to represent the given information:
[asy]
pair A, B, C, D, O;
A = (0,0);
B = (2,0);
C = (3,2);
D = (1,2);
O = intersection point(A-C, B--D);
draw(A--B--C--D--cycle);
draw(A-C);
draw(B--D);
label("A", A, W);
label("B", B, E);
label("C", C, E);
label("D", D, W);
label("O", O, N);
label("$\theta_1$", (B+O)/2, NE);
label("$\theta_2$", (O+D)/2, NE);
label("$\theta_3$", (O+C)/2, NW);
label("$\theta_4$", (A+O)/2, NW);
[/asy]
Since the diagonals intersect at point O, the angles formed by the diagonals at O are supplementary (that is, they add up to 180 degrees). In other words, we have:
θ1 + θ2 = 180 degrees
θ3 + θ4 = 180 degrees
Since AO/BO=CO/DO, the triangles AOB and COD are similar. This means that the ratios of their sides are equal. We can write this as:
AO/BO = CO/DO
We can also write this as:
AO/DO = CO/BO
Then, since the angles formed by the diagonals at O are supplementary, we have:
θ1 + θ2 = 180 degrees
θ1 + θ4 = 180 degrees
Subtracting these two equations gives us:
θ2 - θ4 = 0
Since the angles are equal, they are also opposite angles of the quadrilateral ABCD. Therefore, the opposite sides of AB and CD are parallel, which means that ABCD is a trapezium.
Which triangle is similar to the one shown below?
3 cm
5 cm
4 cm
Answer:
C
Explanation:
they are in the ratio 1:2
The solution is Option C.
The triangle PRQ with sides 6 cm , 8 cm and 10 cm is similar to the triangle ABC with sides 3 cm , 4 cm and 5 cm and the ratio is 1 : 2
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Now , the measure of side AB = 3 cm
The measure of side BC = 4 cm
The measure of side AC = 5 cm
Now , let the second triangle be represented as ΔPQR
where , the measure of side PQ = 6 cm
The measure of QR = 8 cm
The measure of PR = 10 cm
The ratio of sides of the triangle is 1 : 2
So , the triangles ΔABC and ΔPQR are similar and the corresponding sides are also in the ratio
Hence , the similar triangle is with the sides 6 cm , 8 cm and 10 cm
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ6
Which power has a base of 2 and an
exponent of 6?
A 28
B 62
C 126
Answer:
A
Step-by-step explanation:
the base is the the big number, the exponent the small one
What is the total mass of 9 dog bones?
Answer:
whats the mass of 1 dog bone
have a good day :)
Step-by-step explanation:
Which of the following ordered pairs are located exactly five units from (-1, 2)? Select all that apply.
(-1,7)
(-1,-3)
(-6, -1)
(-6,2)
(2,4)
Answer:
(-1,-3) and (-1,7)
Step-by-step explanation:
The x axis remains at the point -1 so u must see the -3 and 2 or the 7 and 2 which means both are correct . I’m not confident this is right but I tried.
Answer:
(-1,7)
(-1,-3)
(-6,-2)
Step-by-step explanation:
What is the value of k and why?
9514 1404 393
Answer:
(c) π/2
Step-by-step explanation:
We know the sine of an angle is the cosine of its complement, and vice versa. The complement of angle x is (π/2-x), so ...
sin(π/2 -x) = cos(x)
This is shown by the attached graph.
divide by 120000÷600
Answer:
120000/600
200 is your answer
Help desperatlu6(5x-3)
[tex]6(5x-3)[/tex]
Distribute:
[tex](6)(5x)+(6)(-3)[/tex]
[tex]=\fbox{30x - 18}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6(5x - 3)}[/tex]
[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]
[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]
[tex]\mathsf{= 30x - 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
pls help 10 ptsss
NO LINKS
Answer:
o to http://
Step-by-step explanation:
Aloma is 6 years older than Mecole. If the sum of their ages is 48, how old is Mecole? *
help help help help help help
Answer:
it is D :)
Step-by-step explanation:
|
مل
6 281034 900175">
240
fruit
If UM =23 then MW=
No links please
Answer:
23
Step-by-step explanation:
because m is the midpoint and it divides line uw in two equal parts
This is because for any parallelogram, the diagonals always bisect each other. This means the diagonals cut each other in half. The two halves are the same length. This is why UM = MW. It also means TM = MV.
After eating dinner at a restaurant, your bill before tax and tip was $72.50. The sales tax rate is 8% and you decide to leave a 20% tip based on the bill after tax was added. What is the total cost of the dinner?
Answer:
77.40
Step-by-step explanation:
The time t(in minutes) required to empty a tank of wastewater varies
inversely with the rate r (in gallons per minute) of pumping. The constant of
variation is 56. Find the time it will take to empty the tank when the rate is 4
gal/min
O A. 14 minutes
O B. 52 minutes
O .
C. 224 minutes
O D. 0.07 minutes
Answer:
A.
Step-by-step explanation:
answer A. 14 minutes is your answer
Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer