You would need approximately 75.7 liters of lemonade for your event. This is calculated by using the conversion factor of 3.78541 liters per gallon.
Explanation:To calculate how many liters of lemonade you need for 20 gallons, we first need to know the conversion rate. There are about 3.78541 liters in 1 gallon. Thus, if you need 20 gallons, we can use multiplication to find this.
So, if we multiply 20 (gallons) by 3.78541 (liters per gallon), the result is approximately 75.7 liters. You would therefore need about 75.7 liters of lemonade for your event. This is a simple application of conversion factors, where the given quantity (gallons) is multiplied by a conversion factor (liters per gallon) to obtain the desired quantity (liters).
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The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3
we know that
If two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
In this problem we have
[tex]m1=\frac{2}{3}[/tex]
Substitute in the formula and solve for m2
[tex]\frac{2}{3}*m2=-1[/tex]
[tex]m2=-\frac{3}{2}[/tex]
therefore
the answer is
The slope is equal to [tex]-\frac{3}{2}[/tex]
8 ten thousands 4 thousands 3 hundreds 6 tens 7 ones in Standard form
The value of each digit in a number is known as the place value. The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiplied by 10The tenth means the tenth part of that digit which is that digit divided by 10The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form can be written as,
8 ten thousand = 8 × 10,000 = 80,000
4 thousand = 4 × 1,000 = 4,000
3 hundred = 3 × 100 = 300
6 tens = 6 × 10 = 60
7 ones = 7
Numbe = 80,000 + 4,000 + 300 + 60 +7 = 84, 367
Hence, the given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.
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What is 36 divided by 3/4?
The length of a table is 6 feet. On a scale drawing, the length is 2 inches. Write three possible scales for the drawing
Answer:
The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
Step-by-step explanation:
It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.
The scale for drawing is
[tex]Scale=\frac{\text{Length in drawing}}{\text{Actual length}}=\text{Length in drawing}:\text{Actual length}[/tex]
First possible scale for the drawing is
2 inch : 6 feet
It can be written as
1 inch : 3 feet
We know that 1 feet = 12 in
1 inch : 36 inch
We know that 1 feet = 30.48 cm
1 inch : 91.44 cm
Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
Here, we have,
It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.
The scale for drawing is
scale = length in drawn/actual length
scale = length in drawn : actual length
First possible scale for the drawing is
2 inch : 6 feet
It can be written as
1 inch : 3 feet
We know that 1 feet = 12 in
1 inch : 36 inch
We know that 1 feet = 30.48 cm
1 inch : 91.44 cm
Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
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2x+5=10
Solve for x
Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}
Supposed to angles are supplementary and one of them measures 31° what is the measure of the other angle
You are building a new house on a cartesian plane whose units are measured in miles.
Your house is to be located at the point (6,0). Unfortunately, the
existing gas line follows the curve y=√16x^(2)+6x+19.
It costs 300 dollars per mile to install new pipe connecting your house to the existing line.
What is the least amount of money you could pay to get hooked up to the system?
Which Rate Does Not Belong With The Other Three. Explain
60 mi/h
88 ft/s
500 ft/min
1,440 mi/day
88ft/s
hop this helps
A factory makes an oil mixture by mixing oils of grades A and B as follows. For every 2.3 liters of grade A oil, 1.2 liters of grade B oil are mixed in. How many liters of grade A oil and grade B oil will the factory need to make 1000 liters of their oil mixture? Explain your solution.
3
minutes to walk
37.5
meters. What is its speed?
8x__=2
10x__= 5
—
2
6x__= 3
—
2
?? Can you fill in the blanks?
i need help 7th grade 13 + p + - 4 3
Irrigation improves the yield of strawberries per acre according to the function S=-(w-2)^2 +50 where S is the number of pints of strawberries grown per acre and w is the acre-feet of water used. Strawberries sell for $3 per pint and water costs $5 per acre-foot. Graph the yield function.
Choose all the answers that apply. What is the freezing point of water? 0°C 0°F 32°C 32°F
A) a cookie jar contains 8 chocolate chip cookies, 4 peanut butter cookies, and 7 sugar cookies. you reach in (you can't see inside) and withdraw 4 cookies without replacement. what is the probability that you got exactly 2 chocolate chip cookies?
The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 68 feet, what are the lengths of the three sides?
Answer: The required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.
Step-by-step explanation: Given that the second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side.
The perimeter of the deck is 68 feet.
We are to find the lengths of the three sides of the deck.
Let x feet be the length of the shortest side.
Then, according to the given information,
the length of the second side = (x+6) feet
and
the length of the third side = (2x-6) feet.
Since the perimeter of the deck is 68 feet, so we must have
[tex]x+x+6+2x-6=68\\\\\Rightarrow 4x=68x=\dfrac{68}{4}\\\\\Rightarrow x=17.[/tex]
Therefore the lengths of the three sides are
17 feet, (17+6) feet and (2×17-6) feet
= 17 feet, 23 feet and 28 feet.
Thus, the required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.
On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.
Explanation:The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.
Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.
Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.
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Simplify the expression (1/4ab)^-2. Assume .
After simplification, the solution is,
⇒ 16a²b²
We have,
The given expression to simplify is,
⇒ (1 / 4ab)⁻²
Now, We can simplify the expression by rule of exponent as,
⇒ (1 / 4ab)⁻²
⇒ (4ab)²
⇒ 4² × a² × b²
⇒ 16a²b²
Therefore, The solution is,
⇒ 16a²b²
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Manufacturer of batteries routinely tests its products to determine lifetime (hours of continuous usage). suppose they select a sample of 30 aaa batteries and find that the average lifetime is 1500 hours.
use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
A family went on vacation and used 5.4 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
7.2 total gallons of gasoline they will need to travel 200 more miles.
What is Distance?Distance is the total speed of an object. This is regardless of direction. It is also defined as multiplying the speed of an object by the total time taken by the object to travel the length of its path.
Distance = Speed * Time
It's SI unit is metre (m).
It is a scalar quantity which has no direction. It only has magnitude means only value.
For above given example,
For 150 miles 5.4 gallons gas is used
so, for 1 mile 0.036 gallon will be used
So, For more 200 miles= 0.036*200
= 7.2 gallons of gas will be used
Thus, 7.2 total gallons of gasoline they will need to travel 200 more miles.
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pre cal/cal master needed
g(x)={ ax-3, x<-2
{ x^2 -2x, x>-2
What value would the function g(x) have point discon. at x=-2 how to find?
What is the value of x in the equation 2x – 3 = 9 – 4x?
The graph below represents the running schedule of a distance runner, who is increasing the distance she runs each week. What is the distance she will run in the ninth week?
A. 22 miles
B. 21 miles
C. 20 miles
D. 19 miles (My answer???)
Answer: The answer is (D) 19 miles.
Step-by-step explanation: We are given a graph that represents the running schedule of a distance runner, who is increasing the distance she runs each week. We are to find the distance she will run in the ninth week.
In the graph, the number of week are represented by the X-axis and the distance run is represented by the Y-axis.
Since we are to find the distance run in the ninth week, so we will have to find the value of y when the value of x is 9.
We can see from the graph that when x = 9, then y = 19, as (9, 19) is a point on the graph. So, the distance run in the ninth week is 19 miles.
Thus, (D) is the correct option.
The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded.
Then the cost of downloading 35 songs will be given as,
c = 9.95 + 0.30s
c = 9.95 + 0.30 x 35
c = 9.95 + 10.5
c = $20.45
The cost of downloading 35 songs will be $20.45.
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Simplify the equation and write the answer without negative exponents
py+7=6y+q solve for y
We know that we are solving for y.
This is a step by step procedure to get the value of y.
First: Move all terms to the left side and set equal to zero.
Second: Then set each factor equal to zero.
The application is:
Given: py+7=6y+q
-6y -7 -6y -7 = 0
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)
Answer is y = (q – 7) / (p – 6)
The solution of expression for y as,
⇒ y = (q - 7) / (p - 6)
We have to given that,
An expression is,
⇒ py + 7 = 6y + q
Now, We can simplify the expression for y as,
⇒ py + 7 = 6y + q
Subtract 6y both side,
⇒ py - 6y + 7 = 6y + q - 6y
Subtract 7 both side,
⇒ py - 6y = q - 7
⇒ y (p - 6) = (q - 7)
Divide both side by (p - 6);
⇒ y = (q - 7) / (p - 6)
Therefore, The solution of expression for y as,
⇒ y = (q - 7) / (p - 6)
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Write an equation to find two consecutive odd integers whose product is 143. (A). x(x+2)+143=0 (B). x(x+1)=143 (C.) x2+2x‒143=0 (D.) x2+x=143
How do I solve this equation? I need a refresher on Algebra.
Final answer:
To solve an algebraic equation, identify knowns, find suitable equations, simplify algebraically, substitute known values, solve for the unknown, and check if the answer is reasonable.
Explanation:
To solve an algebraic equation, follow these systematic steps:
Firstly, identify the knowns and make a list of what is given or can be inferred from the problem.
Then, find the appropriate equation or set of equations that contain the unknown you need to solve for.
Simplify the algebra by eliminating terms wherever possible. This might require algebraic rearrangement such as dividing terms or multiplying both sides of the equation to isolate the unknown.
Substitute the known values into the equation.
Solve for the unknown and make sure to include units where necessary.
Finally, always check your answer to see if it is reasonable and makes sense.
These steps should yield a solution that is both accurate and verifiable.