Answers
You can do this as direct proportion problem.
The number of gallons filled is proportional to the number of hours, and the rate of filling is:
rate = number of gallons / number of hours
From the two data in the second column you have:
number of hours = 3/4 h = 0.75 h
number of gallons = 637 + 1/2 gallons = 637.5 gallons
=>rate = 637.5 gal / 0.75 h = 850 gal/h
In the second column you have the number of hours and want to find the number of gallons, so assuming direct proportionality:
number of hours = 1/4 = 0.25
rate = 637.5 / 0.75 = x / 0.25
=> x = 0.25 * rate = 0.25 h * 850 gal/h = 212.5 gallons.
And from the third column:
number of hours = 1 + 1/2 hours = 1.5 hours
rate = x / 1.5 => x = 1.5h * rate = 850gal/h * 1.5h = 1275 gallons
With that you have already solved a. and b.
You should know how to answer c. and d. This is how:
c. number of gallons = 5.5 hours
number of gallons = rate * number of hours = 850 gal/h * 5.5 h = 4675 gal.
d. number of gallons = 100 gal
rate = 100 gal / number of hours => number of hours = 100 gal / rate
=> number of hours = 100 gal / 850 gal/h = (2/17) h
Pass to minutes => (2/17) h * 60 min/h ≈ 7 min
Related Questions
Estimate the quotient 24 3/7÷3 7/13
Answers
Round off the fractions! 3/7 rounds off (down) to 0 and 7/13 (being greater than 1/2) rounds up to 1. Then we have (24 + 0) / (3+1) = 24/4 = 6.
Unfortunately, this is "quite far" from the actual quotient, 6.9037.
We could experiment: Let 24 3/7 become 24 1/2 and 3 7/13 become 3 1/2.
(24 1/2) / (3 1/2) = (25/2) / (7/2) = 49/2 / (7/2) = 7 (which is "close" to the actual value, 6.9037.
Let's conclude that the estimation is between 6.9 and 7.0.
Antonio is ready to move out of his parent's house and live on his own. He found a great apartment that has all utilities included. His job as an assistant plumber requires him to have a car, but his hours are flexible enough to give him time on the weekends to have fun with his friends. What is the best way Antonio's budget can be modified to help him save enough for the $200 down payment and make the $500 monthly rental payment? Monthly Budget Old Budget New Budget Income Wages $1500 $1500 Expenses Food Cell Phone Savings Entertainment Car Expenses . $250 $175 $200 $200 $300 . $____ $____ $____ $____ $____ Net Income $375 $____ a. Antonio could keep his budget the same and hope he gets a raise at work. b. Antonio could reduce his monthly entertainment expenses by $100 to help pay the monthly rent. He could take $200 out of savings once for the deposit. c. Antonio could live at his parent’s house for one more month and save his net income. After one month of living at home, he would have enough additional money for the deposit and one year’s rent at the apartment. d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.
Answers
Answer:
d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.
Step-by-step explanation:
As you can see, Antonio´s expenses add up to a total of $1,125 a month
Expenses:
Food $250
Cellphone $175
Savings $200
Entertainment $200
Car $300
Total: $1175
So he has $375 each month free to pay for the rent, he is $125 short of making it to the $500 monthly rent, so he only has to cut expenses for $125 dollars, by reducing his food expenses $75 and his entertainment expenses $50 he makes the $125 that he is lacking and is able to afford the $500 monthly rent.
WILL GIVE THE BRAINLIEST ANSWER!!!
Select the postulate that is illustrated for the real numbers.
25 + 0 = 25
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
Additive identity
The multiplication inverse
Answers
The answer is additive identity because you're adding a number plus 0 and the result is the number u added.
hope that helps
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 kilometers underneath the surface. Write an interger for the position of each layer relative to the surface
Answers
mantle layer of earth begins about 70 kilometers underneath the surface
outer core begins about 2970 kilometers underneath the surface
Since we need to find the position of each layer relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.
Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.
Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value.
Best way to work out planet torrid take 6 years to complete one orbit , planet monde blanc takes 9 years in the year 2035 both planets are lined up perfectly.
How many years will it be before the two worlds are line up again ?
Answers
but, in short, what I can make out is, when do 6 and 9 have the same LCM, least common multiple, or a factor that's common to both 6 and 9, and therefore meet at such.
well, let's do a prime factoring of 6, is 2 and 3 only, ok,
now a prime factoring of 9, is 3 and 3 only, ok.
now, we have 3 as common to both, so, to get an LCD or LCM, we'll use repeated factors but once only for each instance for each.
therefore [tex]\bf \stackrel{9}{3,3}\qquad \stackrel{6}{2,3}\qquad \stackrel{LCM}{3,3,2}\implies 18[/tex]
so, after 18 years.
[tex]\bf \cfrac{6}{18}\implies \cfrac{1}{3}\impliedby \textit{torrid will be orbiting one-third of the way} \\\\\\ \cfrac{9}{18}\implies \cfrac{1}{2}\impliedby \textit{monde blanc will be orbiting half-way}[/tex]
alyssa received 30,000 from an inheritance and invests in a certificate of deposit paying 5% annual interest and the rest in apple inc. offering an annual return of 11%. if the annual income from her income from her investment is 2220.00, how much did alyssa invest in each?
Answers
Wich is bigger two thirds of 30 or one fifth of 25?
Answers
two-thirds of 30 = 20
one-fifth of 25 = 5
two-thirds of 30 is bigger
hope this helps
A composite number can be written as the product of prime numbers
Answers
Since it is not prime, it has a prime factorization, making this statement true.
Final answer: True
A city's sales tax is 0.07write this decimal as a fraction and tell how many cents of tax are on each dollar
Answers
the point (4,7) is on the graph of y=x^2+c. what is the value of c?
Answers
So y = 7 = 4^2 + c
c = 7 - 16
c = -9
The value of c in the equation y = x² + c, given the point (4,7) lies on the graph, is found to be -9 after substituting the point's coordinates into the equation and solving for c.
To find the value of c in the equation y = x² + c, where the point (4,7) is on the graph, we substitute the x and y values from the point into the equation. This gives us:
7 = 4² + c
7 = 16 + c
Now, we subtract 16 from both sides to solve for c:
c = 7 - 16
c = -9
Therefore, the value of c is -9.
4 1
__ / ( - __ )
5 15
Answers
that means:
[tex] \frac{4/5}{-1/15} = -\frac{4*15}{1*5} =- \frac{4*3*5}{5}=-4*3=-12[/tex]
I hope you got satisfied
what is the improper fraction of 7/2
Answers
Did you mean in mixed fraction form? It would be 3 1/2, then.
Ratio of the number of students in art class to the number of students in gym class was 2:7, however art class is small, and gym class is large, students changed for the second semester. Now the students in art class to the number students in gym class is 5:4. If 75 students are in art class in second semester, how many were in art class and gym class first semester?
Answers
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105
Ten subtracted from seven times a number is 25 what is the number ?
Answers
7x-10=25
add 10 to both sides
7x=35
divide both sides by 7
x=5
The number is 5.
the length of a rectangle is 6 units shorter than 1/4 of the width x. Write an expression for the perimeter of the rectangle.
Answers
Perimeter= Length x Width
Width=x
Length= x/4 -6
P=LxW
P=(x/4-6)x(x)
What is 681,542 rounded to the nearest hundred thousand.
Answers
the 400ths power of number is 9^1000 what is the number
Answers
12-5x-4kx=y solve for x
Answers
[tex]-5x-4kx=y-12[/tex]
[tex]-x(5+4k)=y-12 [/tex]
[tex]-x= \dfrac{y-12}{5+4k} [/tex]
[tex]x=- \dfrac{y-12}{5+4k}[/tex]
A line can be defined in general form by the equation Ax+By = C where A, B and C are constants. You may assume that both A and B are non-zero. Then the slope of the line is , its x intercept is , and its y intercept is . Of course your answers will depend on A, B, and C. Remember that mathematics, and WeBWorK, are case sensitive, so make sure to use upper case letters A, B and C.
Answers
y=mx+b
m=slope
b=y intercept
the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0
so
for the slope, solve for y
Ax+By=C
minus Ax both sides
By=-Ax+c
divide both sides by B
[tex]y=\frac{-A}{B}x+\frac{C}{B}[/tex]
the slope is [tex]\frac{-A}{B}[/tex] and the y intercept is at [tex]y=\frac{C}{B}[/tex]
find x intercept
set y=0
Ax+By=C
Ax+B(0)=C
Ax=C
divide both sides by A
[tex]x=\frac{C}{A}[/tex]
the x intercept is at [tex]x=\frac{C}{A}[/tex] or the point [tex](\frac{C}{A},0)[/tex]
slope is [tex]\frac{-A}{B}[/tex]
the x intercept is at [tex]x=\frac{C}{A}[/tex] or the point [tex](\frac{C}{A},0)[/tex]
the y intercept is at [tex]y=\frac{C}{B}[/tex] or the point [tex](0,\frac{C}{B})[/tex]
Final answer:
The slope of a line in general form can be found by rearranging the equation to solve for y. The x-intercept is obtained by setting y = 0 and solving for x, while the y-intercept is obtained by setting x = 0 and solving for y.
Explanation:
The slope of a line defined in general form by the equation Ax+By = C can be found by rearranging the equation to solve for y, resulting in y = (-A/B)x + (C/B). The coefficient of x, -A/B, represents the slope of the line. The x-intercept can be found by setting y = 0 and solving for x, resulting in x = C/A. Similarly, the y-intercept can be found by setting x = 0 and solving for y, resulting in y = C/B.
without using a calculator order the numbers from least to greatest square root of 200, 15, and 14
Answers
Next is 15 = 3.8
Largest is 200 = 14. 1
To order the numbers from least to greatest, estimate their square roots: 14 < 14.14 < 15.
Explanation:To order the numbers from least to greatest, we need to compare their square roots. Without using a calculator, we can estimate the square roots to determine the order.
The square root of 200 is approximately 14.14.The square root of 15 is approximately 3.87.The square root of 14 is approximately 3.74.Therefore, the order from least to greatest is 14 < 14.14 < 15.
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Chris said that it is 31 days until his birthday. how many hours until his birthday? minutes? second?
Answers
744 hours* 60 minutes per hour = 44640 minutes
44640 minutes * 60 seconds per minute = 2678400 seconds
Hope this helps!
A tank initially contains 200 gallons of brine, with 50 pounds of salt in solution. brine containing 2 pounds of salt per gallon is entering the tank at the rate of 4 gallons per minute and is is flowing out at the same rate. if the mixture in the tank is kept uniform by constant stirring, find the amount of salt in the tank at the end of 40 minutes. the amount of salt in the tank at the
Answers
Final answer:
The amount of salt in the tank at the end of 40 minutes is still 50 pounds.
Explanation:
To find the amount of salt in the tank at the end of 40 minutes, we need to calculate the change in the amount of salt in the tank over that time period.
The tank contains 200 gallons of brine with 50 pounds of salt in solution. Brine containing 2 pounds of salt per gallon is entering and exiting the tank at a rate of 4 gallons per minute.
Since the rate of flow in and out of the tank is the same, the amount of salt in the tank remains constant. Therefore, the amount of salt in the tank at the end of 40 minutes is still 50 pounds.
If the machine has a probability of failure of 0.01, what is the probability of more than 1 failure occurring in a batch of 20 envelopes?
Answers
see attachment for full solution
What is -9/10 - 7.1?
Answers
Since -9/10 is a fraction, you could turn it into a decimal, which would be -0.9.
Now we have -0.9 - (-7.1)
A negative minus a negative is the same as adding.
-0.9+(-7.1)=-8
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Answers
as a percent this is (25.5 * 100) / 210 = 12.14% Answer
Final answer:
Larry's new solution has an approximate salt concentration of 11.33%. This was calculated by adding the initial mass of salt in the solution (10.5 g) to the extra salt added (15 g), resulting in a new total mass of salt (25.5 g), then dividing by the total mass of the new solution (225 g), and finally multiplying by 100%.
Explanation:
To find the percent of salt in Larry's new solution, we first need to calculate the total mass of the solution and how much of that mass is salt. Initially, we have 210 grams of a 5% salt solution. To find out how much salt that is, we use the percentage:
210 g × 0.05 = 10.5 g of salt
Now, Larry adds 15 grams of salt to this solution, so we add that amount to the initial salt mass:
10.5 g + 15 g = 25.5 g of salt
The total mass of the new solution is the sum of the mass of the original solution and the added salt:
210 g + 15 g = 225 g
Finally, to find the mass/mass percent concentration of the new solution, we divide the total mass of salt by the total mass of the solution and multiply by 100%:
((25.5 g / 225 g) × 100% = 11.33%
So, the percent of salt in Larry's new solution is approximately 11.33%.
frank finished his history assignment 1/5 hours then he completed his math assignment in 2/3 hours what is the total amount of time Frank's been doing these two assignments write your answer in simplest fraction form
Answers
2/3 = 10/15
3/15 + 10/15 = 13/15
13/15 cannot be simplified any further
The total amount of time Frank's been doing these two assignments will be 13 / 15 hours.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Frank finished his history assignment in 1/5 hours then he completed his math assignment in 2/3 hours.
Then the total amount of time Frank's been doing these two assignments will be
⇒ 1/5 + 2/3
⇒ (3 + 2 x 5) / 15
⇒ 13 / 15 hours
The total amount of time Frank's been doing these two assignments will be 13 / 15 hours.
More about the fraction number link is given below.
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Is the number of calories you have burned since midnight at any time during the say a function\?
Answers
Graph a line passing through the point left (−3,6) and having the slope one third. Give the slope-intercept form of the equation of the line if possible.
Answers
passing through the point left (−3,6)
y = mx + b
6 = 1/3(-3) + b
b = 6 +1
b = 7
equation
y = 1/3(x) + 7
hope it helps
The equation of the line passing through the point (-3,6) with a slope of a third is y = 1/3x + 7. The graph of this line can be drawn by plotting the y-intercept at (0,7) and using the slope to plot other points.
Explanation:The provided point through which the line passes is (-3,6) and the slope is a third. The general slope-intercept form of the line is y = mx + b, where m is the slope and b is the y-intercept. That is, it represents the point where the line intersects the y-axis.
Let's use this information to find the equation of the line. We know that y = mx + b. We can substitute the slope (m=1/3) and the point (-3, 6) into this equation: 6 =(1/3)(-3) + b.
Solving this for b gives us b = 6 + 1 = 7. Therefore, the equation of the line in slope-intercept form is y = 1/3x + 7.
To graph the line, you can start by plotting the y-intercept at (0,7) on the y-axis, then rise 1 unit and run 3 units (since the slope = rise/run = 1/3) from the y-intercept point to plot the second point. Connect these points to draw the line.
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0.8 is 10 times as great as wich decimal?
Answers
The normal body temperature of a camel is 37° C this temperature varies by up to three degrees C throughout the day write and solve an absolute value inequality that represents the range of normal body temperatures in degrees celsius of a camel throughout the day
Answers
Let x represent the normal body temperatures in degrees celsius of a camel, the absolute value inequality that represents the range of normal body temperatures in degrees celsius of a camel throughout the day is given by
|x - 37| ≤ 3
The absolute value inequality is solved as follows:
|x - 37| ≤ 3
-3 ≤ x - 37 ≤ 3
-3 + 37 ≤ x ≤ 3 + 37
34 ≤ x ≤ 40.