12 hours will it take to fill the given pool .
we can solve this problem using unitary method ,
10 hours is required to fill the full pool
1 hour is required to fill 1/10th of the pool
30 hours is required to empty the pool
1 hour is required to empty 1/30th of the pool
If two pipes are open then in 1 hour ( 1/10 - 1/30 = 2/30 = 1/15 ) pool will be filled .
The pool is 1/5th filled already as it is mentioned .
So , remaining is ( 1 - 1/5 = 4/5 )
If 1/15th is filled in 1 hour , then 4/5th will be filled in ( 15 × 4/5 ) hours = 12 hours
So, it will take 12 hors to fill the pool .
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Marcy walked 3 7/10 miles on Saturday and Sunday she walked 0.25 more miles than she did on Saturday how many total miles did she walk over the weekend. Pls.
Help
It’s math
B
Over the weekend she walked a total distance of (4 + 5/8) miles
How many total miles did she walk over the weekend?
We know that on Saturday she walked a total of (3 + 7/10) miles (so we need to work with mixed numbers), and on Sunday she walked 0.25 of that distance.
Then the distance that she walked on Sunday is:
D = 0.25*(3 + 7/10) miles
We can rewrite: 0.25 = 1/4
replacing that:
D = (1/4)*(3 + 7/10) mi = (3/4 + 7/40) mi
= (30/40 + 7/40)mi = (37/40)mi
Then the total distance that she walked over the weekend is:
d = (3 + 7/10) mi + (37/40)mi
= (120/40 + 28/40) mi + (37/40) mi
= (185/40)mi = (160/40 + 25/40) mi = (4 + 5/8) mi
Over the weekend she walked a total distance of (4 + 5/8) miles
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what is the slope y intercept and equation?
Answer:
Below in bold.
Step-by-step explanation:
Slope = difference in y values / difference is x values
= (1 - (-3)) / (0 - (-1)
= 4 / 1
= 4.
The y-intercept is the y value when x = 0, so it is
= 1.
So, the equation is
y = 4x + 1.
Math question on how to evaluate f(5)
The value of f(5) in the function are - 9 . Option B
What is function?A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.
Given the functions;
f(x) = 3x - 1 (1)f(x) = 1 - 2x (2)To determine the value f(5), substitute the value of x as 5
x > 1 , so we use equation 2
From function (2)
f(5) = 1 - 2x
f(5) = 1 - 2(5)
f(5) = 1 - 10
f(5) = - 9
Thus, the value of f(5) in the function are - 9 . Option B
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A college baseball stadium has 6,925 seats. During 12 games this season, the stadium sells out and fills every seat.
How many tickets were sold for those 12 games?
The number of tickets sold during the 12 games is 83,100 tickets
How to calculate the number of tickets sold ?The college stadium has 6,925 seats for the baseball games this season.
During the entire 12 baseball games, al the seats were filled up and tickets were sold out.
Therefore the number of tickets sold in the entire 12 games can be calculated by multiplying 6,925 by 12
= 6925 × 12
= 83,100
Hence 83,100 tickets were sold in the entire 12 games
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You are 5 feet 4 inches tall and cast a shadow 3 feet long. At the same time, a nearby water tower casts a shadow 74 feet 3 inches long.
a. Find the height of the water tower.
The height of the water tower is 132 feet
How to solve for the height of the towerWe have the height to be 5 feet 4 inches
then 1 feet = 12 inches
inch = 1 / 12 ft
Then 4 inches = 1 / 12 x 4
= 1 / 3 ft
Height = 5 1/3
= 16 / 3
height of the shadow cast = 3 feet
For the water tank
74 ft 3 inches
= 74 x 3 / 12
297 / 4
the height of the tower
[tex]\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}[/tex]
= [tex]\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}[/tex]
Then x = 132
Therefore the height of the water tower is 132 feet
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Please help it would be very much helpul
x = 12.
Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.
Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.
Given that
line m and n are perpendiculars
then angle ∠a = ∠b
then
5x + 20 = 7x -4
7x -5x = 20 + 4
2x = 24
x = 24/ 2
x = 12.
Hence the value of x = 12
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Evaluate v-w for the given values. v = -14; w = 7
Answer:
I believe the answer would be :
-14 - 7 = -21
Answer = -21
Simplify
(7y+4)(8y+2)
Answer:
56y^2+46y+8
Explanation:
Hope this helps you.
I’d really appreciate any kind of help :)
Answer: it is B
Step-by-step explanation: i would love to help
i need help if you help me it will be much helpfull thank you
Answer:
Step-by-step explanation:
Answer is D
509
-106
403
4 hundred and 3 ones
the perimeter of a one rectangular deck is 78 feet. the length of deck can be represented as (2x 3), and its width can be represented as (3x-4). the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x 6) and a width of (6x -1). what is the value of x of the first rectangular deck?
The value of x of the first rectangular deck is 8.
For given question,
The perimeter of a one rectangular deck is 78 feet.
The length of the first rectangular deck is represented as (2x + 3), and its width is represented as (3x-4).
Similarly, the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x + 6) and a width of (6x -1).
We need to find the value of x of the first rectangular deck.
Let P1 be the perimeter of the first rectangular deck.
⇒ P1 = 2 × (length + width)
⇒ 78 = 2 × [(2x + 3) + (3x - 4)]
⇒ 39 = (2x + 3x + 3 - 4)
⇒ 39 = 5x - 1
⇒ 40 = 5x
⇒ x = 40/5
⇒ x = 8
Therefore, the value of x of the first rectangular deck is 8.
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HELP PLS THIS MATH ADD AND SUBTRACT FRACTION I DING GET BC I FORGET EVERYTHING I LEARN FROM PAST YEARS
Answer: 1. 35 5/6 - 4 1/2
2. 1 5/8 - 2/3
3. 1 5/8 + 2/3
4. 35 5/6+4 1/2
Step-by-step explanation:
1. E=Eli. J=Jamison
E=J+4 1/2
35 5/6=J+4 1/2
J=35 5/6 - 4 1/2
2. s=cups of strawberries
b=cups of blueberries
m=more cups of b than s
m=b-s
m=1 5/8 - 2/3
3. o=original length of patio.
i=increase in length of patio
t=total length of patio after increase.
o+i=t
1 5/8 + 2/3=t
4. p=pine tree. a=palm tree. i=inches taller
p+i=a
35 5/6+4 1/2=a
If n+ 2 is divisible by 2 then which statement is always True?
A- n is an even number
B - n is an odd number
C- n is a prime number
D- b is equal to n + 1.
Answer:
the right answer is A
Step-by-step explanation:
the even number can be always divided by 1,2 and themselves
____ is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
What are horizontal planes?Horizontal plane can as well be described as the plane or surface that can be seen as the one that is parallel to the surface of the earth, , it should be noted that this plane is usually at the at an angle of zero degree hence horizontal plane.
Therefore, the plane is perpendicular to the horizontal plane , hence Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
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For the following problem, match the name of the number property that was used to get to each step from the previous step.
37x2x(-5+1/2+5)
Answer:
74
Step-by-step explanation:
Multiplication
37×2=74
Brackets
Addition
1/2+5=6
Subtraction
6-5=1
The whole question will read as 74x1
The answer will be 74
Analizeaza urmatoarele verbe mentionand persoana si numarul! a plecat,vei ajunge,sa mearga
Answer: I dont understand what your saying
Step-by-step explanation:
Are you speaking a diffrent language
Answer:
in English: let,will,arrive,let,go
in Romanian: lasa, va, sosi, lasa, pleca
Step-by-step explanation:
I think the language is Romanian
If lines a and b are perpendicular to line c, what word best describes how lines a and b relate to each other?
A.intersecting
B. Parallel
C. Perpendicular
D. Skew
answer:
C. Perpendicular
explanation:
perpendicular is defined as intersecting to create 90 degree angles on all four created angles.
if both lines a and b are perpendicular to line c, then they must be parallel.
Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
y=mx+by=mx+bm=slope(x,y)=a point on the lineb=the y value of the y-interceptm=slope(x,y)=a point on the lineb=the y value of the y-intercept
Step-by-step explanation:
G
H
OI and M
OJ and L
OH and N
OG and O
-6
-5
264
K
-3
1Which two points are 4 units from K?
L
-2
3
-1
N
0
4x - 2x + x - 6 = 15
solve for x and show steps!
Answer:
x = 7
Step-by-step explanation:
Let's solve the problem,
→ 4x - 2x + x - 6 = 15
→ 3x - 6 = 15
→ 3x = 15 + 6
→ x = 21/3
→ [ x = 7 ]
Thus, the value of x is 7.
PLS HELP Precalculus Unit 3 sample work for Connexus I got the rest of it figured out, it's these two that I'm having trouble with.
The asymptotes of the graph are vertical asymptotes as; x = 0 and x = -4
The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞
What is the Asymptote of the graph?An asymptote is defined as a line that a curve approaches, as it heads towards infinity. There are three types of Asymptotes namely horizontal, vertical and oblique.
It is called a Horizontal Asymptote when as x goes to positive or negative infinity the curve approaches some constant value.
It is called a Vertical Asymptote when as x approaches some constant value (from the left or right) then the curve goes towards positive or negative infinity
It is called an Oblique Asymptote when as x goes to positive or negative infinity, then the curve goes towards a line y = mx + b
Thus, the asymptotes of the graph are vertical asymptotes as;
x = 0 and x = -4
The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞
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If one book is 2.5 inches wide and another is 1.754 inches wide, how much wider is the first?
What is the missing value of 2/5 equals how many 15th
The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
What is the number of fifteenths which are present in 2/5 as required in the task content?It follows from the task content that the number of fifteenths which are contained in 2/5 as required is to be computed.
Given;
2/5.
To find;
How many fifteenths?
Hence, the number of fifteenths in 2/5 as required can be evaluated as follows;
2/5 ÷ 1/15
= 2/5 × 15/1
Multiply the numerators and denominators accordingly;
= 30/5
= 6.
Ultimately, the number of fifteenths in 2/5 is; 6.
Therefore, The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
This concept follows from the division of fractions as in arithmetic operations.
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In order to calculate the market basket used for the cpi, what information is needed
Market pricing and the goods and services purchased by the average household must be taken into account in order to compute the market basket utilized for the cpi.
The cpi formula is Market Price in the current year / Base year x 100.
What is meant by price market?
The rate at which a product or service can potentially be bought or sold is known as the market price. The supply and demand forces determine the market price of a good or service; the price at which the quantity supplied and demanded are equal is the market price.Market price is the price that is in effect on a specific day or at a specific moment. It is the outcome of supply and demand in the market. The normal price, on the other hand, is the outcome of long-term supply and demand.To learn more about Market price, visit:
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Need help on this problem
The given equation solved for z is z = s/(r - 6c⁴)
Solving linear equationsFrom the questions, we are to solve the given equation for the specified value
The given equation is
s = zr - 6zc⁴
The specified value is z.
Thus, we are to solve for z.
Solving for z
s = zr - 6zc⁴
First, factor out z
s = z(r - 6c⁴)
Now, divide both sides by r - 6c⁴
s/(r - 6c⁴) = z(r - 6c⁴)/r - 6c⁴
s/(r - 6c⁴) = z
∴ z = s/(r - 6c⁴)
Hence, the given equation solved for z is z = s/(r - 6c⁴)
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Nine less then a number is four
Answer: 13 (simplified)
Step-by-step explanation: 9 + 4= 13, minus 9 equals 4
Answer: Question: x-9=4
Step-by-step explanation: X is 13
what is the volume of this pyramid? 720 cm³ 720 cm³ 1080 cm³ 1080 cm³ 1440 cm³ 1440 cm³ 2160 cm³ 2160 cm³ a pyramid with a right triangular base. the right triangular base has leg lengths of 9 centimeters and 15 centimeters. the height of the pyramid is 32 centimeters.
Based on the calculations, the volume of this pyramid is equal to 1440 cm³.
Given the following data:
Length of right triangular base = 9 centimeters and 15 centimeters.
Height of right triangular base = 32 centimeters.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height of a pyramid.
b is the base area of a pyramid.
Substituting the parameters into the formula, we have:
Volume = 1/3 × 9 × 15 × 32
Volume = 3 × 15 × 32
Volume of pyramid = 1440 cm³.
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4. Technology required. Priya starts with $50 in her bank account. She then deposits $20
each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount
in her bank account and the number of weeks of saving.
d=50+20w
b. Graph your equation using graphing technology. Mark the point on the graph
that represents the amount after 3 weeks.
The equation [tex]d=50+20w[/tex] represents the relationship between dollar amount in her bank account and the number of weeks of savings.
The definition of an equation is a formula that states that two formulas are equal. For example, 3x + 5 = 14 is an equation where 3x + 5 and 14 are two terms separated by an equal sign. The most basic and simple algebraic equations consist of one or more variables in mathematics. In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values. A point on a graph often represents a relationship between two or more things.
(a) It is given that amount in bank account is $50 , amount deposited by Priya is $20 and time period is 12 weeks .
Let " d " be the dollar and " w " be the weeks
Multiply the number of weeks w by 20 to get the total savings and add up how much money she had in the account initially.
Money deposit by Priya in 1 week = $20
Money deposit by Priya in 1 week = [tex]20\times w[/tex]
Therefore , the equation will be [tex]d=50+20w[/tex]
(b) Graph of given equation is given below :
Let " w " represents the x - axis and " d " represents the y - axis
For 1 week , amount will be [tex]d=50+20=60[/tex]
For 2 week , amount will be [tex]d=50+20(2)=90[/tex]
For 3 week , amount will be [tex]d=50+20(3) = 110[/tex]
And so on..
From the graph ,the point which represents the amount after 3 weeks is
(3 , 110 )
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Find the range of the data set: 10,18, 21, 28, 12, 20
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The range is the greatest number minus the number with the least value.
28 - 10 = 18
call a set of integers spacy if it contains no more than one out of any three consecutive integers. how many subsets of , including the empty set, are spacy?
According to the given statement, there are 129 spacy subsets of, such as the empty set.
The correct option is E.
What is consecutive integers?Whole numbers that followed each other with no gaps are known as consecutive integers. For example, the numbers 15, 16, and 17 are all consecutive integers. If is an integer, then the following consecutive integers begin at:,, and so on.
According to the given data:A divider counting argument can be employed because each member of the subgroups must be at least two apart.
We select no more than four numbers first from set 1,2,3,4,5,6,7,8,9,10,11,12. Let's use balls to represent these numbers. There are least two dividers between each of the balls.
So for example, o | | o | | o | | o | | represents {1,4,7,10}.
There must be 2(k - 1) dividers between both the balls in subsets of size k, leaving 12 - k - 2(k - 1) = 12 - 3k + 2 dividers to be placed at k + 1 spots between the balls.
[tex]\left(\begin{array}{c}(12-3 k+2)+(k+1)-1 \\k\end{array}\right)=\left(\begin{array}{c}12-2 k+2 \\k\end{array}\right)[/tex]
As a result, the number of spacy subsets is reduced:
[tex]\left(\begin{array}{l}6 \\4\end{array}\right)+\left(\begin{array}{l}8 \\3\end{array}\right)+\left(\begin{array}{c}10 \\2\end{array}\right)+\left(\begin{array}{c}12 \\1\end{array}\right)+\left(\begin{array}{c}14 \\0\end{array}\right)[/tex] = 129
According to the given statement, there are 129 spacy subsets of, such as the empty set.
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I understand that the question you are looking for is:
Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of $\{1,2,3,\ldots,12\},$ including the empty set, are spacy?
(A).121
(B). 123
(C). 125
(D). 127
(E) 129