Joe made 24 quarts of orange juice. How many liters of orange juice did Joe make?
1 gallon = 4 quarts
1 gallon = 3.785 liters
Answers
So u multiple 24 by 3.785
Then divide by 4
Ur answer is 22.71 liters
i checked the answer he had he is right :>
Related Questions
For how many positive integer values of N will the expression 18/N + 2 be an integer?
Answers
N can have 6 different positive integer values.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is :
18/N +2
An integer is a whole number that includes all positive numbers, negative numbers and zero.
An integer cannot be a fraction.
The value of N has to be determined for the expression such that, the value of the expression is a positive integer.
For the expression to be positive integer, the 18/N should be an integer value, so the number N should completely divide 18.
The factors of 18 is 1,2,3,6,9,18.
If N is any value among these, it will divide 18 to give a integer and the value of the expression will be a positive integer value.
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Match the graph with the correct equation.
y – 1 = –4(x + 5)
y + 1 =-1/4 (x + 5)
y – 1 =-1/4 (x + 5)
y – 1 =-1/4 (x – 5)
Answers
slope = 2/-8 = -1/4
passing thru (-5, 1)
y - 1 = -1/4(x +5)
answer
y - 1 = -1/4(x +5) Third choice
About 145 out of 300 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
Answers
0.483333... * 300 = 145.
Therefore it is 145%.
Hope this helps
In March Tom had -£165 in his bank account. In April he had -£156.
In which month did he have the least amount of money in his account?
Answers
Answer:
March.
Step-by-step explanation:
We have been given that in March Tom had -£165 in his bank account. In April he had -£156.
We know that the a biggest negative number has least value as biggest negative numbers lie on the extreme left on the number line.
Since -£165 is more negative than -£156, so -£165 is the least amount.
Therefore, Tom had least amount of money in his account in March.
Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his target by 10%, he would need 1 more mark to reach his actual score. If he increased his target by 15%, this target would exceed his actual test marks by 3. What is his actual test score.
Answers
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5 g(x)
0 −1 g(x) = 4x + 3
1 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answers
3-(-1)/1-0, which then equals 4/1 which equals 4, and g(x) also has a slope of 4. So, the slopes in both functions are equal.
Part B: g(x) has a a greater y-intercept.
y=mx+b where b is the y-intercept and in the equation g(x)=4x+3, b=3 which makes 3 the y-intercept. Now, for the other function, the y-intercept is when x=0, and when x=0, f(x) (or y) equals -1 and 3>-1 so g(x) has the greater y-intercept.
1. What shape is the graph?
2. What direction does the graph open?
3. Where is the graph increasing/decreasing?
4. What are the intercepts?
5. Are there any special points?
6. Is there a line of symmetry?
Answers
1. Triangular, 2. Upwards, 3. (- ∞, 3),(3, ∞), 4. (-1, 0) and (-3, 0), and (0, 1),
5. (-3, -1), 6. symmetry is along the x-axis.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A modulus function | x + 2 | - 1.
The shape of the graph is triangular.
The graph opens in the upwards direction positive y-axis.
The graph is decreasing at the interval (- ∞, 3) and it is increasing at an interval (3, ∞).
The x-intercepts of the graph is (-1, 0) and (-3, 0), and The y-intercepts of the graph is (0, 1).
The special point of the graph is (-3, -1) where the graph is increasing from decreasing.
Yes, the line of symmetry is along the x-axis.
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PLEASE HELP!! IM REALLY CONFUSED
Answers
Determine the slope of the line that contains the given points. t(6,3),v(8,8)
Answers
m=y2-y1/x2-x1
Plug the numbers in. We will use (8,8) for x2 and y2, and (6,3) for y2 and y1.
m=8-3/8-6
m=5/2
The slope of (6,3) and (8,8) is 5/2
hope this helps:)
The slope of the line that contains the given points T(6, 3) and V(8, 8) will be 2.5.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
T(6, 3) and V(8, 8)
The slope is given as,
m = (8 - 3) / (8 - 6)
m = 5 / 2
m = 2.5
The slope of the line will be 2.5.
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What is the measure of a base angle of an isosceles triangle if its vertex angle measures 40°?
a) 70°
b) 65°
c) 140°
d) 75°
Answers
The sum of the angles or any triangle is always going to be 180°
So if the vertex angle is 40°, then each base angle is:
180 = 40 + 2x
x = (180 - 40) / 2
x = 70°
The answer is A.
Bye :-)
Answer:
The Answer Is A. edge 2020
Step-by-step explanation:
I need help with this question:
3c + 17, for c=5
Answers
The variable c = 5 meaning we can replace the value of c in the equation with 5. Solve the equation now as you normally would.
3 (5) + 17 = 15 + 17 = 32
The answer is 32 and if this helps please give brainliest to help me reach expert ;)
If the federal reserve decreases the reserve rate from 7% to 5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $30,000?
Answers
30,000÷0.07=428,571
If the federal reserve rate is 5% the money supply would be
30,000÷0.05=600,000
The affect
600,000−428,571=171,429
Increase by 171429
Answer:
The total affect of the decrease in the interest rate = $29400
Step-by-step explanation:
The initial amount of money which has been deposited into the account = $30000
The rate at which the initial money was deposited = 7%
But it is given that the federal reserve decreases the reserve rate from 7% to 5%
Now, we need to find the affect of this decrease on the deposited money
The rate of change in the interest rate = 7 - 5 = 2%
So, The affect of this decrease = 2% of 30000
= $600
So, The money becomes = 30000 - 600
Therefore, The total affect of the decrease in the interest rate = $29400
When writing an equation in exponential form , how can you tell by the number in parentheses if it's exponential growth or exponential decay?
Answers
The multiplier is 100%+4%=104% = 1.04
The growth formula is
y = A₀(1.04)ˣ
Where A₀ is the initial value
One example of a decay is a decrease of 12% per annum
The multiplier is 100% - 12% = 78% = 0.78
The equation for the decay is
y = A₀(0.75)ˣ
The difference between these two equations is that for the growth, we have a multiplier that is bigger than 1, whereas, for the decay, we have a multiplier that is less than 1.
The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence.
Answers
1/ab, 1/a^3, b/a^5, b^2/a^7, b^3/a^9
Hope this helps!
Answer:
the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
Step-by-step explanation:
A geometric serie is a succession of terms on which every terms is the result of the last term multiply to a common ratio. for example, a geometric serie with inicial terms equal to 2 and the common ratio is 3, the four first numbers of the serie is given by
2, 6, 18, 54
Where every term is calculate as:
first term = 2
second term = first term x common ratio = 2 * 3 = 6
third term = second term x common ratio = 6 * 3 = 18
fourth term = third term x common ratio= 8 * 3 = 54
Then, with this exercise we have the same situation, the first term is [tex]\frac{a}{b^{2} }[/tex] and the common ratio is [tex]\frac{b}{a^{2} }[/tex], so we get:
first term = [tex]\frac{a}{b^{2} }[/tex]
second term = first term * common ratio = [tex]\frac{a}{b^{2} } *\frac{b}{a^{2} } = \frac{1}{ab}[/tex]
third term = second term * common ratio = [tex]\frac{1}{ab} *\frac{b}{a^{2} } =\frac{1}{a^{3} }[/tex]
fourth term = third term * common ratio = [tex]\frac{1}{a^{3} } *\frac{b}{a^{2} } = \frac{b}{a^{5} }[/tex]
fifth term = fourth term * common ratio= [tex]\frac{b}{a^{5} } *\frac{b}{a^{2} } = \frac{b^{2} }{a^{7} }[/tex]
sixth term = fifth term * common ratio= [tex]\frac{b^{2} }{a^{7} } *\frac{b}{a^{2} } = \frac{b^{3} }{a^{9} }[/tex]
so, the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
Help me with this plz
Answers
Add each pair of monomials and match it to the correct sum.
Tiles
-15u3 + 5u3
10u3 + (-5u3)
10u3 + 5u3
5u3 + (-10u3)
Answers
5u^3
15u^3
-5u^3
Answer:
-10u^3
5u^3
15u^3
-5u^3
Step-by-step explanation:
Given tiles
-15u^3+5u^3
10u^3+(-5u^3)
10u^3+5u^3
5u^3+(-10u^3)
Monomial : that type of polynomial in which only one term .
Adding of polynomial : when we add two polynomial then the coefficient of like terms will be added and sum of unlike terms remain . There is no change in the power of like terms and unlike terms.-15u^3+5u^3coefficient of like terms means same viable with same power -15 and 5 .
Therefore, coefficient of these two terms added and no change in power of u^3
-15u^3+5u^3=-10u^3Similarly, 10u^3+(-5u^3)=5u^310u^3+5u^3=15u^35u^3+(-10u^3)=-5u^3Marie worked 2 weeks during her college she earned $280 the first week and 245 the second week. If 1/2 of her total earnings went to taxes and 1/4 went to college tuition how much money did she have left
Answers
Marie's total earnings for the two weeks were $525. She paid $262.5 to taxes and $131.25 to college tuition, leaving her with a balance of $131.25.
Explanation:To find out the amount left, we need to first calculate Marie's total earnings for the two weeks by adding what she earned each week. $280 for the first week plus $245 for the second week gives her a total earnings of $525.
Marie gave half of her earnings to taxes, which is 0.5 * $525 = $262.5. After that, she spent one-fourth of her earnings on college tuition, which equals 0.25 * $525 = $131.25. Summing up both amounts, we find that she spent $262.5 + $131.25 = $393.75 on taxes and tuition.
To find out the amount Marie has left, we subtract the total expenses from her total earnings. Thus, $525 - $393.75 = $131.25 is the total amount she has left after paying her taxes and tuition.
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After calculating her total earnings, subtracting the amounts for taxes and tuition, Marie had $131.25 left. Her total earnings were $525. 1/2 went to taxes, and 1/4 went to tuition.
First, find her total earnings for the two weeks:
Total Earnings = $280 + $245 = $525
Next, calculate how much went to taxes. Since 1/2 of her total earnings went to taxes:
Taxes = 1/2 x $525 = $262.50
Then, calculate how much went to college tuition. Since 1/4 of her total earnings went to tuition:
College Tuition = 1/4 x $525 = $131.25
Finally, subtract the amounts for taxes and tuition from her total earnings to find out how much money she had left:
Money Left = $525 - $262.50 - $131.25 = $131.25
Marie had $131.25 left after paying taxes and college tuition.
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
48 miles
56 miles
104 miles
128 miles
Answers
warehouse location (24,-32)
airport location (-24,32)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)=
Sqrt(24--24)62 +(32--32)^2) =
sqrt(48^2 +64^2) =80
then distance from airport to the factory = -24 to 24 = 48
80+48 = 128 miles total
The perimeter of the rectangle below is 86units . Find the length of side XY
Answers
what is the domain of the function on the graph?
a. all real numbers
b. all real numbers greater than or equal to - 2
c. all real numbers greater than or equal to - 5
d. all real numbers greater than or equal to 0
Answers
Answer:
Option a is correct.
Step-by-step explanation:
The given graph is of the function f(x)=|x|-2
Domain are the values that x will take in the given function x can take all the values whether fraction, integer the function will always be defined.
Hence, the domain of the function is all real numbers.
Therefore, Option a is correct.
Answer: Domain are all real number [a].
Step-by-step explanation:
Given : graph .
To find : what is the domain of the function on the graph.
Solution : We have given that a graph of function f(x) : |x| - 2.
Domain : The domain of a function is the set of its possible inputs,that is the set of input values where for which the function is defined.
Therefore, the domain are all real number [a].
Mrs. Patil bought 4 packs of pencils for her class. Then she bought 3 more packs of pencils. There are 12 pencils in a pack. How many pencils did she buy?
Answers
each pack contains 12 pencils..
so 7 packs each containing 12 pencils ...
7(12) = 84 total pencils <===
What's the verbal expression for the algebraic expression 15+r ?
Answers
So, it would be read as "15 plus r".
If the radius of a circle is multiplied by 3 what happens to the area of a circle
Answers
Therefore;
if the Radius is multiplied by 3
Area = pi multiplied by (r*3)^2
Area = pi multiplied by 9 r squared
Thus;
multiplying the radius by 3 increases the area by 3 squared or 9
---
==> The area increases by a factor of 9 <==
--------------------------------------...
I hope this is helpful.
On Tuesday, Pizza Hut sold 60 plain pizzas at $5 each; 20 meatball pizzas at $8 each; 25 Sicilian pizzas at $9 each; and 33 large crust supremes at $10 each. What were the total dollar sales for Pizza Hut on Tuesday? A. $790 B. $1,015 C. $1,115 D. $1,511
Answers
Explanation:
60x5 = 300
8x20 = 160
25x9 = 225
33x10 = 330
300+160+225+330= 1015
so....
the answer is B. 1015
Suppose you are standing 500 feet away from a tree and you see a hawk hovering directly above that tree. The angle of elevation from you to the hawk is 24°. To the nearest foot, at what height is the hawk hovering?
Answers
tan(24)= x/500
The x will be your answer for the height, which is 222.614.
Coins are marked with the letters A-G. What is the probability of selecting a coin with a vowel on it?
a. 28.6%
b. 16.7%
c. 33.8%
d. 18.9%
Answers
Out of these, 2/7 letters are vowels.
2 / 7 ≈ 0.286
0.286 * 100 = 28.6%
Therefore the correct answer is A.
you take A and E which is 2 and you divide it by 7 because A-G is 7.
Solve for a:
3/5a = 1/4
Answers
a = 1/4 * 5/3
a = 5/12
3a=5/4 divide both sides by 3
a=5/12
Which of the relations given by the following sets of ordered pairs is not a function?
a. {(5,2),(4,2),(3,2),(2,2),(1,2)}{(5,2),(4,2),(3,2),(2,2),(1,2)}
b. {(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}{(−4,−2),(−1,−1),(3,2),(3,5),(7,10)}
c. {(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}{(−8,−3),(−6,−5),(−4,−2),(−2,−7),(−1,−4)}
d. {(−6,4),(−3,−1),(0,5),(1,−1),(2,3)}
Answers
Answer:
The answer is the B)
Step-by-step explanation:
By the definition, in a function, a value in the first set of numbers only have a value in the second set of numbers, so for every pair of numbers, we have to review if the first number for this pair only appears one time in all the function.
All the set ot values agrees with this definition except the B, because the third and fourth pair have the same first value (3)
If the probability of an event is 2/7, what must be the probability of its complement?
Answers
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Let
x------->the probability of its complement
we know that
The Complement Rule states that the sum of the probabilities of an event and its complement must equal [tex]1[/tex]
so
in this problem
[tex]\frac{2}{7}+x=1[/tex]
solve for x
Adds [tex]-\frac{2}{7}[/tex] both sides
[tex]x=1-\frac{2}{7}[/tex]
[tex]x=\frac{5}{7}[/tex]
The probability of its complement is 5/7
What is the complement of a probability event?The complement of a probability event is the event that contains all of the universal elements of the event but is not found in the provided event.
From the given information:
The provided event (x) = 2/7The complement of an event is mathematically calculated as:
P(C') = 1 - (x)
P(C') = 1 - 2/7
P(C') = 5/7
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Jason is a used-car salesman who sells domestic and foreign cars. He earns $7,000 for each domestic car sold and loses $3,500 for each foreign car sold. Due to certain business commitments, Jason has to sell at least 10 foreign cars each month. He needs to make at least $17,000 each month to cover his expenses. Which graph shows the number of cars he has to sell each month to at least cover his expenses?