Answer:
48 hours
Step-by-step explanation:
So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.
So let's just say that x is the value for how much the pool was filled, and y is the time taken.
So which means :
X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]
[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.
So, we solve the equation.
To find X, we make the denominator of the two fractions the same.
X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]
= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]
= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]
Then, we subtract.
[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]
[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour
Finally, we find the time taken for the pipe to fill the pool.
If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :
1 = [tex]\frac{1}{48}y[/tex]
y = 48 hours.
So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.
HOPE THIS ANSWER HELPED :)Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
About how many male math teachers will there be in 2016?
A. 32
B.52
Answer:
From the answers you provided the best answer is B.52
Step-by-step explanation:
It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.
Answer:
is it 32?
Step-by-step explanation:
sorry if im wrong
hope this helps
Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)
Answer:
y = 1/2x + 1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
y-intercept (0, 1)
Point (2, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-1}{2-0}[/tex]Subtract: [tex]m=\frac{1}{2}[/tex]Step 3: Write equation
y = 1/2x + 1
Help will mark Brainliest
Answer:
ion know if you still need the answer but i also may need more detail in order to answer your question may you explain the way it needs to be done then you will get your answer
Step-by-step explanation:
0.0000000043 estimated to the power of ten
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
4/4-x = 5/4+x what is x
Answer:
-1/8
Step-by-step explanation:
MATH
.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answer:rental cost for each movie =$3.75 and for video games = $5.5
Step-by-step explanation:
Step 1 Let the cost of movie = x
and cost of video game = y
Cost at Ist Month for 6 movies and 5 video games for a total of $50 will be
6x+ 5y= $50------- Equation 1
Cost at 2nd Month for 2 movies and 3 video games for a total of $24 will be
2x+ 3y= $24-------- Equation 2
Step 2--- Solving
6x+ 5y= $50------- Equation 1
2x+ 3y= $24-------- Equation 2
Multiplying equation 2 by (3)
6x+ 5y= $50------- Equation 1
6x+ 9y= $72--------Equaton 3
subtracting equation 1 from equation 3
9y-5y=22
4y= 22
y=22/4= 5.5
Putting the value of y = 5.5 in equation 1
6x+ 5y= $50
6x + 5(5.5)= $50
6x =50-27.5
6x=22.5
x=22.5/6
x =3.75
Therefore rental cost for each movie =$3.75 and for video games = $5.5
LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.
Answer:
25.2 feets
Step-by-step explanation:
Given that:
Rectangular shaped living room has the dimension:
21 feets by 14 feets
Length of diagonal :
Using Pythagoras :
A² = B² + C²
Diagonal² = 21² + 14²
Diagonal = √(441 + 196)
Diagonal = √637
Diagonal = 25.238
Diagonal = 25.2 feets ( nearest tenth)
show that the probabitity that this bead is purple or red is 3/4
Answer:
pls explain in more detail and attach pic cus ive got no clue what ur asking
Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS
Answer:
Step-by-step explanation:
Help with what
Answer:
what is the question???
Step-by-step explanation:
1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces
Answer:
224 ounces
Step-by-step explanation:
Use this diagram and information given to find mangleAFE.
abcdef500
Given: mangleAFB = mangleEFD = 65°
Points B, F, D and points E, F, C are collinear.
The measure of angleAFE is
°.
Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]
When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,
[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]
Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D
The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
[tex]A = \frac{1}{2}bh[/tex]
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation:
x² – 9
x² - 2x - 15
Simplify
Answer:
x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.
x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.
I assume you mean factored form?
Who here is amazing at math and is willing to help me every time I need help with math?!
Answer:
Me
Step-by-step explanation:
Because I am really good at math
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
find angle sum therom
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Sum of the interior angles of any triangle is 180° .
Thus ;
[tex]y + 48° + 90° = 180°[/tex]
[tex]y + 138° = 180°[/tex]
Subtract sides 138°
[tex]y + 138° - 138° = 180° - 138° \\ [/tex]
[tex]y = 42°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which chemical equation is balanced?
Answer:
D as in dog
Step-by-step explanation:
12x+y when x=3 and y=52
Which of the following BEST describes the domain of the relation graphed below.
Answer:
The answer is D.
Step-by-step explanation:
Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]
Answer this question please.
Answer:
x = 11
Step-by-step explanation:
We know that vertical angles (opposite angles when two lines cross), are equal.
2x - 6 = 6x - 50
4x = 44
x = 11
Which of the following figures has rotated 90 counterclockwise about the origin?
Answer:
I believe the answer is B, although im not quite sure.
Find the ratio between 450 ml and 1l.
Answer:
450mL : 1L = 9 : 20
Step-by-step explanation:
recall that 1L = 1000 mL,
450 mL : 1L can be expressed as
450mL : 1000 mL (we can simplify this with the following steps)
450 : 1000 (divide both sides by 10)
45 : 100 (divide both sides by 5)
9 : 20 (answer)
Can someone plz help
One question only
I WILL CROWN BRAINLIEST
Kiran says that -2 < -5 . Do you agree with Kiran
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE
Answer:
There is nothing attached
Step-by-step explanation:
No question given. What is the problem?
Factor 28xy + 25 + 35x + 20y
HOPE THIS HELPS YOU...