Answer:
4.625 hours
Step-by-step explanation:
Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour
Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour
Let us assume the pool capacity is 40 gallons
We choose 40 because it is the LCM of 5 and 8 so we can get integer values
Inflow rate = 40/5 = 8 gal per hour
Outflow rate = 40/8 = 5 gal per hour
Net rate = 8-5 = 3 gal per hour if both pipes are open
In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons
After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour
So net inflow rate = 8 - 0 = 8 gal/hour
To fill 37 gallons using this rate would be 37/8 = 4.625 hours
The number π is WHAT IS THE ANSWER I LOVE IT
Answer:
what's your question?
Step-by-step explanation:
Please do not claim this unless you answer the question.
If the sum of two integers with opposite signs gives a negative result, then the larger absolute value of the two integers was _________
Answer:
The absolute value was negative.
Step-by-step explanation:
I assumed both integers had the same absolute value, and using this info, I came up with negative, because it is the bigger value.
simplify 4 (7 - 3) + 11
A- 42
B- 14
C- 36
D- 27
Answer:
D-27
Step-by-step explanation:
4(7-3)+11
=28-12+11
=28+11-12
=28-1
=27
pls rate as brainliest
Answer:
D 27
Step-by-step explanation:
To simplify 4 (7 - 3) + 11 we have to know the order of operations PEMDAS that has the meaning Parenthesis Exponents Multiplication Division Addition Subtraction.
Apply PAMDAS to our problem 4 (7 - 3) + 11
1. Parenthesis →solve what is in parenthesis 7-3= 4
4 (7 - 3) + 11 =
4 · 4 +11
2. Multiplication and Division →solve the multiplication 4·4 =16
4 · 4 +11 =
16 +11
3. Addition and Subtraction →add 16+11 = 27
16 +11 =
27
a desk is on sale for $380, which is 40% off the original price. which equation can be used to determine the amount of money saved, s, in dollars, when purchasing this desk on sale?
you save $253.33 if you purchase this desk on sale.
How to find the money saved?
We know that the price in sale of the desk is $380, and this is given by a discount of the 40% of the original price.
So, if the original price is defined by the variable P, the amoun you save by buying the discounted deck is:
P - $380
Now, remember that the discounted price should be written in terms of P as:
$380 = P*(1 - 0.4) = P*0.6
Where 0.4 is the decimal form of 40%.
With that we can find the value of P as:
P = $380/0.6
Then the amount that you save is given by:
P - $380 = $380/0.6 - $380 = $253.33
We conclude that you save $253.33 if you purchase this desk on sale.
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Which of the following is a factor of x3 − 1331?
x − 11
x2 − 11x + 121
x2 + 22x + 121
None of the above
Based on the information, the option that is a factor of x³ - 1331 is A. x - 11.
What are factors?It should be noted that factor simply means the number that divides another number. In contrast to multiples, which are multiplied by another number to produce particular numbers, factors are the numbers that split the supplied number exactly.
It should be noted that when we factor out 1331, we will get the values of 11 × 11 × 11. Therefore, it should be noted that the expression will become x³ - 11³.
Therefore, it should be noted that the formula that will be applied will be:
a³ - b³ = (a - b)(a² + an + b²)
Therefore, applying the formula illustrated will give:
x³ - 11³
= (x - 11)(x² + 11x + 11²)
= (x - 11)(x² + 11x + 121
Therefore, the option that is a factor of x³ - 1331 is x - 11.
Based on the information, the option that is a factor of x³ - 1331 is A. x - 11. In conclusion, the correct option is A.
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Answer:
A
Step-by-step explanation:
(x-9)^2+(y+1)^2=15 but translated left 2, up 7
Answer:
if i got locked away , i will always remember , animals , flower , human
Step-by-step explanat
ion:
Answer:
Step-by-step explanation:
6. Max earns television time by completing chores at home. For every 4 chores he completes, he earns 30 minutes of
television time. If Max wants to watch a movie that is 120 minutes long, how many chores does he need to complete
to earn enough television time? Show or explain your reasoning.
7. In science class, students create walking robots. Brian's robot can walk 12 feet in 4 minutes. Isabelle's robot can
walk 20 feet in 8 minutes.
Do the two robots walk at the same speed? If not, whose robot walks faster? Explain or show your reasoning
Answer:
Step-by-step explanation:
Im pretty sure u know this... but i'll do it anyway to get points.
6. 4 chores = 30 minutes of television time
He needs 120 minutes of television time
So he will need to multiply both sides by 4 to get the amount of chores he needs to do to watch the movie.
Therefore, he does 16 chores( 4 x 4 ) to earn enough television time.
7. Make the amount of minutes the same to see how the speed they walk at.
If we convert Isabelle's robot' s speed to feet in 4 minutes, we can just compare both robots normally.
20/2= 10 feet in 4 minutes(Isabelle's robot) < 12 feet in 4 minutes(Brian's robot)
Therefore, Brians robot walks faster.
what is the gcf of 28+35 in distributive property
Answer:
Step-by-step explanation:
dude its just 28+35=61
Why might Randy put a pile of books under his feet when he's sitting and typing for a long period of time?
Question 4 options:
to keep his chair from rolling away
to make sure the books he needs are nearby
to make sure he's at least 20 inches from his monitor
to keep his feet from dangling
(Please help, I'll brainliest as soon as I can! =D)
Answer:
the answer is to make sure he is at least twenty inches from his monitor.
Step-by-step explanation:
HELP ME ANSWER THESE MATH QUESTIONS PLEASE! I WILL GIVE BRAINLYEST!!!
Answer:
Answer:
1. C and d.
A.13/ 5 miles north and 8 miles east
B.8?( The question makes 80% no sense)
3. 51? (Not sure on this once since 51 isn’t really a child).
4.up 5 back 1 up 5 back 1 (is the pattern)
I hope i got it right! <3
Shane completed his science project early, he will receive an extra 5% on top of his regular score. He will also receive 10 bonus points. He received a regular score of 80%. Find his score graphically for g(x)=x+0.05
Based on the fact that Shane gets an extra 5% of his regular score, solving for his mark graphically with the equation, g(x) = x + 0.05 will give us the attached graph.
What graph represents Shane's information?The equation for Shane's score is g(x) = x + 0.05.
When interpreted, this graph means that for every point on the x-axis, the corresponding y-value will be 5% more than the x-value.
A score of 74 on the x-axis would correspond with 79 on the y-axis for instance. This is what is shown in the attached graph which makes it the correct graph.
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Can somone help me with these fractions will give u brainliest :'(
Answer:
<
<
>
Step-by-step explanation:
Answer: >,<,>
Step-by-step explanation:
A rectangle measures 10 inches by 10 feet. What is the area of the rectangle, in square inches?
Use the dimensional analysis method (that is, do your computation with units).
square inches
Use conversion factors in the References section of this course if you need them.
Answer: it's 100
Step-by-step explanation:
^-^
8. Fiona buys different amounts of gas at $2.25. She has a graph which shows the
different amounts she should pay. What constraints are there on the domain of
the function?
Fiona has a function that shows the amount of money she has to pay ( f(.) as a function of the gas the buys (g).
So, the function can be written as: f(g).
As each litter costs $2.25 we can say that;
f(g) = 2.25g
Lets try to find put which constraints the function f(g) has in its domain, it is, what are the restrictions for the values of g.
Is evident that g cannot be negative, as one cannot buy negative liters of gasoline. We can buy any positive amount of gasoline, doesn't matter if it is an integer number or not. it is possible to buy 5 liters and also to buy 5.45454545545454 liters. A zero amount of liters is also possible, having zero cost.
Thus, as any positive or zero value is positive, but negative values are not, we can restrict the domain to every non-negative real number:
Therefore ,Domain(f) = [0, infinite ) or
Domain(f) = Real non negative.
Domains have to be purchased, and they are registered where they are purchased and paid for. You have a Domain Registrant, much like a house has a Home Owner. This person pays the mortgage to keep the house, just like a Domain Registrant has to pay for the domain yearly to keep it.
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Julia studied math for 3 and 1/3 hours during the 4 days before her last math test. What was the average amount of time she studied each day? Hours
Answer:50 min a day
Step-by-step explanation: julia studied 50 min a day
please help me i need to figure out which one fast
Answer:
<1≅<3 <2≅<5 <3≅<6
Linear functions model situations that are continually increasing or continually decreasing. Quadratic functions model situations that increase and then decrease, or vice versa.
Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense, and why?
A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.
When should polynomial functions should be used?Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.
One possible example is the velocity of the Formula 1 car during a lap, as follows:
Initially, the velocity increases during the start-finish straight.On the approximation to first turn, the velocity decreases as the car breaks.Coming out of the turn, the velocity increases again.At the next breaking point, the velocity decreases.This behavior keeps happening until the end of the lap.
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Write the equation of the line that passes through (5, −2) and is perpendicular to y equals 5 thirds times x minus 3 period y equals negative 3 fifths times x plus 1 y equals negative 3 fifths times x plus 19 fifths y equals 3 fifths times x minus 5 y equals 5 thirds times x minus 31 thirds
The equation of the line is: y = -3/5x + 1.
How to Write the Equation of a Line?The slope (m) of two lines that lie perpendicular to each other are negative reciprocals.
Given, y = 5/3x - 3, the slope (m) of the line is 5/3. The negative reciprocal of 5/3 is -3/5.
Thus, the line that is perpendicular to it will have a slope (m) of -3/5.
Substitute m = -3/5 and (a, b) = (5, -2) into y - b = m(x - a):
y - (-2) = -3/5(x - 5)
y + 2 = -3/5x + 3
y + 2 - 2 = -3/5x + 3 - 2
y = -3/5x + 1
Thus, the equation of the line is: y = -3/5x + 1.
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Answer: A a aa a a a a a
Step-by-step explanation:
Simplify each expression. Match the correct value with each expression. Values may be duplicated
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
The values of the expression are 34, 2,18 and 11 respectively
Simplifying equations and expression using PEDMASThe meaning of the expression PEMDAS is as shown below;
P is the parenthesis
E is the expoenent
M is the multiplication
D is the division
A is the addition
S is the subtraction
Simplifying the given expression
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
2 + 32 =2 + (30 + 2)
2 + 32 = 2 + 30 + 2
2 + 32 = 34
For the expression 18 - 17 + 1
18 - 17 + 1 = 1 + 1
18 - 17 + 1 = 2
For the expression 24 ÷ 4 × 3 (Division first then multiplication)
24 ÷ 4 × 3 = (24 ÷ 4) × 3
24 ÷ 4 × 3 = 6 × 3
24 ÷ 4 × 3 = 18
For the expression 21 – 5 × 2
21 – (5 × 2)= 21 - 10
21 – 5 × 2 = 11
Hence the values of the expression are 34, 2,18 and 11 respectively
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LOTS OF POINTS PLS ANSWER
Answer:
continuous it is continuous
The hypotenuse of right triangle is 130 miles long. The difference between the other two sides is 46 miles.
The required value of the missing side is 66 miles and 20 miles.
What is Pythogoras theorem?It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:
[tex]{\displaystyle a^{2}+b^{2}=c^{2}[/tex]
Now it is given that,
Length of Hypotenuse = 130 miles
Let length of one side = x
Since the difference between the other two sides is 46 miles
Thus, length of second side = x - 46
Applying the pythagoras theorem we get,
Hypotenuse² = one side² + second side²
Putting the values we get,
130 = x² + ( x - 46 )²
Expanding the brackets we get,
16,900 = x² + x² - 92x + 2116
Solving we get,
16,900 = 2x² - 92x + 2116
Or, we can write
2x² - 92x + 2116 - 16,900 = 0
Thus we get,
2x² - 92x - 14784 = 0
Dividing the whole equation by 2 we get,
x² - 46x - 7392 = 0
Solving the above quadratic equation,
x² + 112x - 66x - 7392 = 0
x( x + 112) - 66 (x + 112) = 0
Taking common we get,
(x - 66) (x + 112) = 0
Thus,
x = 66 , -112
Since the length cannot be negative, then
x = 66 miles
Length of second side is
66 - 46 = 20 miles
Thus, the required value of the missing side is 66 miles and 20 miles.
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The complete question is :
The hypotenuse of right triangle is 130 miles long. The difference between the other two sides is 46 miles. Find the missing sides.
vanna bought 4 CDs that were each the same price. Including sales tax, she paid a total of $57.20 Each CD had a tax of $0.80 What was the price of each CD before tax?
Answer:
multiply 57.20×4
Step-by-step explanation:
57.20×4once done you will get 228.20Diego is making a stack of Pennie’s. He starts with 5 and then adds them 1 at a time. A penny is 1.52 mm thick.
The stack of pennies is an illustration of linear equation.
The equation for n pennies is: h(n) = 7.6 + 1.52nh(n)=7.6+1.52n .
h(1.52) does not make sense
(a) Complete the table
From the question, we have:
Start = 5Start=5 ---- the number of penny he started with
Thick = 1.52Thick=1.52 --- the thickness of a penny
The height of n pennies is calculated using:
h(n) = (Start + n) \times Thickh(n)=(Start+n)×Thick
So, we have:
h(n) = (5 + n) \times 1.52h(n)=(5+n)×1.52
h(n) = 7.6 + 1.52nh(n)=7.6+1.52n
When n = 0;
h(0) = 7.6 + 1.52 \times = 7.6h(0)=7.6+1.52×=7.6
When n = 1;
h(1) = 7.6 + 1.52 \times 1 = 9.12h(1)=7.6+1.52×1=9.12
When n = 2
h(2) = 7.6 + 1.52 \times 2= 10.64h(2)=7.6+1.52×2=10.64
When n = 3
h(2) = 7.6 + 1.52 \times 3= 12.16h(2)=7.6+1.52×3=12.16
b) h(1.52) does not make sense.
This is so because:
n will always be a whole number because it represents the number of pennies
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An oceanside surf shop sells a bodyboard for $34.95. The wholesale cost of the bodyboard is $21.18. What is the percent of markup? Round to the nearest percent.
Answer: 14%
Step-by-step explanation:
What is the scale in first graph? In the second? Image above
Please help I’ll give you brainlist answer
Answer:
The first one is a scale by 1
The second one is a scale of 2
The third one is scale of 5 starting at 100
Step-by-step explanation:
The point (—7,0) is on the graph of the function y=f(x). Which point cannot be on the graph of y=f(x)?
• (0,0)
• (0,-7)
• (-7,-7)
• (7,0)
Find the polynomial of degree 3, with constant coefficient -12 and zeros -3, -1, and 2.
The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the polynomial equation?The given parameters are
Degree of polynomial = 3Zeros = -3, -1, 2Constant coefficient = -12The sum of multiplicities of the polynomial equation must be equal to the degree.
This means that the multiplicity of each zero is 1
The equation of the polynomial is then calculated as
P(x) = Coefficient * (x - zero)^ multiplicity
So, we have
P(x) = -12(x - (-3))(x - (-1))(x - 2)
This gives
P(x) = -12(x + 3))(x + 1)(x - 2)
Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)
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12 a of 1/2 - 6a square ÷ 3a + (a+a)
The value of the expression is 6a.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
⇒ 12 a of 1/2 - 6a square ÷ 3a + (a + a)
Now, It can be written as;
12a of 1/2 - 6a² ÷ 3a + 2a
And, Solving by BODMAS rule as,
12a of 1/2 - 6a² ÷ 3a + 2a
12a * 1/2 - 6a² ÷ 3a + 2a
12a * 1/2 - 2a + 2a
6a - 2a - 2a
6a
Hence, The value of the expression is 6a.
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a ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t^2 find the values of t for which the rockets height is 25 meters
The value of t for which the rockets height is 25 meters is 40.7 seconds
How to calculate the time?From the information, the ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t².
Therefore, the values of t for which the rockets height is 25 meters will be:
h= 4 + 36t - 16t².
where h = 25
25 = 4 + 36t - 16t².
Collect like terms
25 - 4 - 36t + 16t² = 0
16t² - 36t -21 = 0
Using almighty formula
t = 40.7 seconds.
Therefore, the value of t for which the rockets height is 25 meters is 40.7 seconds
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Determine the range of f(x) = |x + 5|.
{y | −∞ < y < ∞}
{y | −5 < y < ∞}
{y | 0 ≤ y < ∞}
{y | 5 ≤ y < ∞}
The range for the given function f(x) = | x + 5 | is {y | 0 ≤ y < ∞}
What is a function?A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The independent variable = domain
The dependent variable = Range
We have a function,
f(x) = | x + 5 |
Let,
f(x) = y
x = -7, y = | -7 + 5 | = | -2 | = 2
x = -5, y = | -5 + 5 | = 0
x = -6, y = | -6 + 5 | = | -1 | = 1
x = -4, y = | -4 + 5 | = 1
x = -3, y = | -3 + 5 | = 2
x = -2, y = | -2 + 5 | = 3
x = -1, y = | -1 + 5 | = 4
x = 0, y = | 0 + 5 | = | 5 | = 5
x = 1, y = | 1 + 5 | = | 6 | = 6
x = 2, y = | 2 + 5 | = | 7 | = 7
x = 3, y = | 3 + 5 | = | 8 | = 8
..
..
..
We see that as x takes any value y increases.
x = domain, and y = range
y = 0, 1, 2, 3, 4, 5, ,,,,,,,∞
Thus the range is {y | 0 ≤ y < ∞}
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Answer:
c
Step-by-step explanation: