1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.
2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.
¿Cómo determinar y estimar tiempos de vaciado de una piscina?
En este problema tenemos el caso de dos piscinas de diferente capacidad, la primera piscina tiene una capacidad de 240 000 litros de agua y la segunda piscina tiene una capacidad de 160 000 litros de agua. Ambas cuenta con un desagüe que desaloja a una tasa de 500 litros de agua por cada minuto de operación.
El tiempo total de vaciado es igual a volumen de la piscina dividido por la tasa de vaciado, entonces:
Piscina grande (V = 240 000 L, Q = 500 L / min)
t = V / Q
t = (240 000 L) / (500 L / min)
t = 480 min
Piscina pequeño (V = 160 000 L, Q = 500 L / min)
t = V / Q
t = (160 000 L) / (500 L / min)
t = 320 min
1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.
2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.
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Janayea wanted to change 0.079 to a percent. She changed it to 79%. Which statement is true?
A) Janayea Is Correct?
B) Janayea should have moved the decimal point 0.079 two places to the left to get 0.00079%.
C) Janayea should have moved the decimal point of 0.079 two places to the right to get 7.9%.
Answer:
Janayea should have moved the decimal point 0.079 two places to the left to get 0.00079%.
Write an addition equation using numbers to represent
the verbal equation in problem 1.
The addition equation to represent the problem represented on the number-line is given by [tex]-5+8=3[/tex].
The number line is a visual representation of the real numbers along a straight line. Every point on a number-line contains a real number.
The integers that we see on this number line represents the round scores of the game Luis is playing.
At the beginning of second round Luis's team has a score of -5 , but he scored 8 points in the second round.
So the addition equation for representing this particular situation is given by :
Score in round 1 + points scored by Luis in round 2= Score in round 2
So the addition equation :
[tex]-5+8=3[/tex]
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A surveyor is estimating the distance across a river. The actual distance is 279.8 m. The surveyor's estimate is 300 m.
Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.
Absolute Error = ___ m
Percent Error = ___%
Answer:
Absolute error = 20.2m
% error = 6.73%
Step-by-step explanation:
Absolute error = 300-279.8= 20.2m
% error = 20.2 ÷ 300 = 6.73%
The area of a rectangular painting is 8712 cm^2.
If the width of the painting is 98 , what is its length?
100 POINTS!!!!
Answer:
The length is 88.90 cm
=========================
Area equation of a rectangle
A = lw, where A - area, l - length, w - widthGivenA = 8712 cm²w = 98 cmFind the length8712 = 98ll = 8712/98l = 88.90 (rounded)Answer:
Length = 88.9 cm
Step-by-step explanation:
Formula we use,
→ A = L × W
Then the value of its length is,
→ A = L × W
→ 8712 = L × 98
→ L = 8712/98
→ L = 88.8979591837
→ [ L = 88.9 cm ]
Hence, the length is 88.9 cm.
A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects
to use 28 feet of lumber to make it.
Width:
feet
Height:
feet
Question Help: Video
Answer:
w= 3 feet
h= 5 feet
Step-by-step explanation:
H=height; W=width=2H-7ft
W=2H-7ft
2H+4W=22ft Substitute for W
2H+4(2H-7ft)=22ft
2H+8H-28ft=22ft Add 28 ft to each side.
10H=50ft
H=5 ft ANSWER 1: The bookshelf is 5 feet high.
W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft
ANSWER 2: the bookshelf is 3 feet wide.
CHECK:
2H+4W=22ft
2(5ft)+4(3ft)=22ft
10ft+12ft=22ft
22ft=22ft
Hope this helps!
If you drive 263 miles and have 11 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 314 miles you have 8 gallons left.
What is your rate?
The Fuel efficiency rate in miles per gallon is; 104.67 MPG
How to calculate Fuel efficiency rate?
Let the initial amount of gallons be x
Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.
Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons
Therefore the Fuel efficiency rate which is in miles per gallon is;
MPG = 314/3
MPG = 104.67 MPG
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Which mixed number is equivalent to the improper fraction?
37
3
O A. 12
OB. 3/1/2
O C. 10
3
OD. 12/
Answer:
Mixed fractions is equivalent to improper fraction both A and C
A. 12 1/3
C. 10 7/3
The sales tax in Jorge's state is 7%. Jorge bought a Ford Mustang having a sales tax of $1,928.22. What was the cost of the car?
The cost of the car is $27,546
How to calculate the cost of the car ?The sales tax is 7%
Jorge bought a ford mustang having a sales tax of $1,928.22
Therefore the cost of the car can be calculated as follows
1928.22÷ 7/100
= 1928.22/0.07
= 27,546
Hence the cost of the car is $27,546
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The Burger Joint expects to serve 250 hamburgers on Saturday evening. Each hamburger weighs 6
ounces before it is cooked. The chef orders ground beef in bulk by the pound from Outwest Meats,
ready to be formed into hamburger patties by the kitchen staff. How much ground beef will the chef
need to order to prepare for Saturday?
Answer:150 ounces
Step-by-step explanation:
Determine the solutions of the equation:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15
The solutions of the equation are x = 15 and -20
How to determine the solutions of the equation?The equation is given as
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite properly as
|2/5x + 1| - 7 = 0
Add 7 to both sides of the equation
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
This gives
2/5x = 6 and 2/5x = -8
Multiply both sides by 5/2
x = 15 and -20
Hence, the solutions of the equation are x = 15 and -20
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Answer:
x = 15 and -20
Step-by-step explanation:
Anna solves the expression 6(5+3) and gets the result 48. Jojo solves the same expression and gets the result 33. Who is correct?
Answer:
Anna is correct.
Step-by-step explanation:
Using PEMDAS, you need to add the terms in the parentheses first.
After adding, you get 8×6 = 48
Jojo made the mistake of multiplying 6 and 5 first, and then adding 3.
Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?
29 parcels can be made from 290 magazines and books
How many parcels can be made from 290 magazines and books?The given parameters are
1 parcel = 6 magazines and 4 books
This can be rewritten as:
1 parcel = 10 magazines and books
For 290 magazines and books, we have
x = 290 magazines and books
This means that
x = 290 magazines and books
1 parcel = 10 magazines and books
Cross multiply
x * 10 = 290 * 1
This gives
x = 29
Hence, 29 parcels can be made from 290 magazines and books
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In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.
Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
Given that In a municipal election, two candidates, A and B, ran for the position of Mayor, and 25000 people voted. Voters were supposed to vote for only one candidate. A received 12000 votes, B received 10,000 votes, and 1000 cast votes for A and B both.
Number of votes for A=12,000
Number of votes for B=10,000
1000 cast votes to Both A and B, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1000
Total people cast vote= sum of votes for every party
Total people cast vote=12,000+10,000+1000
Total people casted vote=23,000
Therefore, Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
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Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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Tony is hoping to find a job in management with an annual salary of $37,297. What will be his monthly pay rounded to the nearest cent?
Answer:
$3,108.08 per month
Step-by-step explanation:
Calculator shows the answer as 3,108.0833 with the 33 repeating. Rounding to the nearest cent (100ths place) gives $3,108.08
Suppose you are drawing a scaled copy of a triangle with one of the sides measuring 5 centimeters. If
you are using a scale factor of 2, how long will the corresponding side of the scaled copy be?
It will be 10
It will be
cm²
How long will the corresponding side of the scaled copy be if you use a scale factor
ctor of /?
It will be 12-1/2
long.
1³/?
How long will the corresponding side of the scaled copy be if you use a scale factor of
mm²
long.
vlong.
Answer:
spam
Step-by-step explanation:
spam spam spam
A set of three scores consists of the values 3, 7, and 2. Σ2(X – 3) =
Answer:
6
Step-by-step explanation:
[tex]\sum 2(X-3)=2(3-3)+2(7-3)+2(2-3)=0+8-2=6[/tex]
6 less the quantity 9 times a number
hi
with " x' a number then :
6 -9X
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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PLEASE ANSWER AND will report if your answer is wrong/incorrect
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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Show two methods for finding the quotient 3/8 divided by 3/4
Step-by-step explanation:
9/32 or 0.28125
hehhehehehehehhehehehe
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} } =\dfrac{0.375}{0.75}=\dfrac{375}{750} =\dfrac{1}{2} =0.5\\\\--------------------------------\\\\\dfrac{\dfrac{3}{8} }{\dfrac{3}{4} }=\dfrac{3}{8} * \dfrac{4}{3} \\\\\\=\dfrac{4}{8}\\\\=\dfrac{1}{2}\\\\=0.5\\[/tex]
what is the answer to 2 1/5 - 1 3/10=
Answer: 1/10
Step-by-step explanation:2 * 1/5 is 2/5 and 1*3/10 is 3/10 and when you subtract them you get 1/10
Answer:9/10
Step-by-step explanation:get 2 1/5 into a improper fraction thats 11/5 then multiply by to for the common demontor thats 22/10
get 1 3/10 into a improper fraction 13/10
then minus 22-13 thats 9
then bring in the bottom 9/10 hope that helps
Divide the fractions. ½÷⅞
Answer:1/2 / 7/8 = 8/14 = 4/7
Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7
3/4 - 5/8 step by step
Answer:
1/8
3/4 - 5/8
*2/2
6/8 - 5/8 = 1/8
Step-by-step explanation:
(33) MOVIES Chaz has a collection of 15 movies downloaded on his media player. He decides to download 3 more movies each month. The function M(t) = 15 + 3t counts
the number of movies M(t) he has after t months. How many movies will he have after
8 months?
Answer: 39
Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months
15+3(8)
15+24
=39
The sum of two numbers is -316. One number is 94 less than the other. Find the numbers
The average annual wage of workers from a certain country for selected years from 2011 projected through 2021 can be modeled by y= 2286x + 38,620, with y equal to the average annual wage
in dollars and x equal to the number of years after 2010. When does the model project that the average annual wage of workers in the country will be at least $68,400?
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest integer as needed.)
A. in the year
and before
B. in the year
and after
OC. in the year
The average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
In the question it is given that
model of the average annual wage (y) = 2286x + 38620 ...(i)
where x = number of years after 2010,
It is also given that the average annual wage(y) must be at least 68,400 .
which means y ≥ 68400
Substituting value of y from equation (i) we get ,
2286x + 38620 ≥ 68400
Simplifying the inequality further we get ,
2286x ≥ 68400 - 38620
2286x ≥ 29780
x ≥ 29780/2286
x ≥ 13.02 ≅ 13
Hence , the average annual wage will more than the specified value from the year, 2010+13 = 2023 .
Therefore , the average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
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Choose the correct statement.
-2 < -3
1 = -1
5 > -6
The statement 5 > -6 is the correct statement.
In this question, we have been given some mathematical statements.
We need to select the correct statement.
We know that, on the number line , numbers to the right are greater than numbers to the left.
Consider 1st statement
-2 < -3
If we see these numbers on the number line, then -2 is right to -3. This means, -2 is greater than -3.
So, above statement is False.
Consider 2nd statement
1 = -1
If we see these numbers on the number line, then we can observe that both the numbers are not equal.
So, above statement is False.
Consider 3rd statement
5 > -6
If we see these numbers on the number line, then 5 is right to -6. This means, 5 is greater than -6.
So, above statement is True.
Therefore, the statement 5 > -6 is the correct statement.
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never got taught this.
Answer:
|-5| is equal to 5 because absolute value is the distance from 0
Step-by-step explanation: