$22.20
multiply the amount of candles bought by the cost of each candle
= 60 × $0.37 = $22.20
Lily's car has a fuel efficiency of 888 liters per 100 kilometers.
What is the fuel efficiency of Lily's car in kilometers per liter?
Answer:
12.5
Step-by-step explanation:
Simplify the polynomial expression. 3x(-2x+7)-5(x-1)(4x-3)
A.
14x^2-14x+15
B.
-26x^2+21x-15
C.
-26x^2+56x-15
D.
-2x^2+14x-2
The answer is c. have a good day
To simplify the given polynomial expression, distribute coefficients to terms within each parentheses, combine like terms, and simplify further to obtain the simplified form of the expression: 14x^2 - 14x - 15.
Explanation:To simplify the given polynomial expression, we'll start by distributing the coefficients to the terms within each parentheses:
Now, we'll combine like terms and simplify further:
Therefore, the simplified form of the given polynomial expression is 14x^2 - 14x - 15.
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f(x)=2/3x+3
What is the value of f(12)?
[tex]f(x)=\dfrac{2}{3}x+3\\\\f(12)\to\text{put x = 12 to the equation of a function}\\\\f(12)=\dfrac{2}{3}\cdot12+3=\dfrac{2}{1}\cdot4+3=8+3=11\\\\Answer:\ f(12)=11[/tex]
Answer:
11
Step-by-step explanation:
Write the equation of the line parallel to the given line and passing through the given point.
y = 6 through (3,4)
y = 6 it a horizontal line. The line parallel to horizontal line is horizontal line with the equation y = a.
The line passing through the point (3, 4) → y = 4.
Therefore your answer is : y = 4.
Answer:
y = 4.
Step-by-step explanation:
I checked :)
x-5≥ 9 need answer plsss
Add 5 to both sides.
x−5+5≥9+5
Answer: x≥14
What is the value of x in the equation 2x + 9 = 21? (4 points)
2
6
9
15
2.
What is the value of z in the equation 5(2z + 4) = 0? (4 points)
-2
0
2
20
3.
What is the value of c in the equation 2c + 5(c – 5) = 10? (4 points)
0
2
5
10
4.
An equation is shown below:
3(4x + 5) = 12
Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Step 1: 12x + 15 = 12
Step 2: 12x = –3
Step 1: 12x + 5 = 12
Step 2: 12x = 7
Step 1: 7x + 5 = 12
Step 2: 7x = 7
Step 1: 7x + 8 = 12
Step 2: 7x = 4
5.
How many solutions can be found for the equation 3y + 5 – 2y = 11? (4 points)
Zero
One
Two
Infinitely many
answer=2x=12,x=6
2z+4=0,z=-2
Answer: answer=2x=12,x=6
2z+4=0,z=-2
Step-by-step explanation:
The ratio of side lengths of square a to square b is 2 : 3. The perimeter of square a is 16 inches. What is the area of square b?
if the ratio of sides is 2:3, the ratio of the perimeters will be the same
2 16
------- = ---------
3 P
Using cross product 2*P = 3*16
2P = 48
P = 24 inches
A furniture company currently produces 7500 chairs per month if production decreases 5% find the amount of decreases and the new number of chairs produced each month
The new number of chairs produced per month is 7125
To find the amount of decrease:
Calculate 5% of 7500 chairs: 7500 x 0.05 = 375.
The decrease is 375 chairs.
To find the new number of chairs produced:
Subtract the decrease from the original amount: 7500 - 375 = 7125.
The new number of chairs produced per month is 7125
Factor the expression over the complex numbers.
[tex] x^{2} +18[/tex]
Here we are given the expression:
[tex]x^{2}+18[/tex]
Now let us equate it to zero to find x first,
[tex]x^{2}+18=0[/tex]
Now subtracting 18 from the other side,
[tex]x^{2}=-18[/tex]
taking square root on both sides,
So we will get two values of x as ,
[tex]x=3\sqrt{-2}[/tex]
[tex]x=-3\sqrt{-2}[/tex]
Now we can write square root -1 as i,
So our factors become,
[tex]x=3i\sqrt{2}[/tex]
[tex]x=-3i\sqrt{2}[/tex]
Answer:
The final factored form becomes,
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
Answer:
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
Step-by-step explanation:
1. You must apply the Quadratic formula, which is:
[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
2. Substitute values:
[tex]a=1\\b=0\\c=18[/tex]
[tex]x=\frac{-0+/-\sqrt{0^{2}-4(1)(18)} }{2(1)}\\x=\frac{+/-\sqrt{-72}}{2}\\x=\frac{+/-6i\sqrt{2}}{2}\\x=+/-3i\sqrt{2}[/tex]
3. Finally, you obtain:
[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]
Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown. After how many hours do the two trains meet? Enter your answer in the box.
Answer: Hello mate!
first, let's do a list with all the things we know about this problem:
Both trains depart at the same time; we can define this time as t = 0 in hours.
the velocity of train A is 50mph
the velocity of train B is 60mph
both trains travel in opposite directions.
the initial distance between both trains is equal to 330 miles:
we want to know when the trains will meet each other:
The trains will meet each other when the sum of their traveled distance is equal to the initial separation between them.
the distance traveled by the train A is equal to his velocity multiplied by the time that passed since it departed.
this is: Da(t) = (50*t)mi
and the distance for the train B is: Db(t) = (60*t)mi
then, as we know, the trains will meet when Da(t) + Db(t) = 330mi
then 50*t + 60*t = 330
110*t = 330
t = 330/110 = 3h
the trains will meet 3 hours after they departed.
There are 12 people in maggies book club if 18 muffing are divided evenly among each person, how much muffin would each person get?
What is the value of the 5 in 9,9009,121.15
The value of 5 is hundredths
Please help asap 25 pts
[tex]8x > -32\qquad|\text{divide both sides by 8}\\\\x > -4\\-----------------------------------\\\\6x\leq-48\qquad|\text{divide both sides by 6}\\\\x\leq-8\\\\Answer:\ c)\ x > -4\ or\ x\leq-8[/tex]
In what diffrent ways can 440 be written as the product of two positve integers
440 = 1 x 2 x 2 x 2 x 5 x 11
(1): 1 x 440
(2): 2 x 220
(2 x 2): 4 x 110
(5): 5 x 88
(2x2x2): 8 x 55
(2 x 5): 10 x 44
(11): 11 x 40
(2x2x5): 20 x 22
No need to continue because the next number is 2 x 11 = 22 and we already have that on the right side, so we have found all of the multiplicative pairs of 440.
4 gallons of shampoo will last 3 weeks and 7 gallons of shampoo how munch more does for 12 weeks
What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56?
Answer:
[tex]a_{24}=146[/tex]
Step-by-step explanation:
The formula of a nth term of n arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
--------------------------------------
[tex]a_m=a_1+(m-1)d\\\\a_m-a_n=(a_1+(m-1)d)-(a_1+(n-1)d)\\\\=a_1+(m-1)d-a_1-(n-1)d=(m-1)d-(n-1)d=(m-1-n+1)d=(m-n)d[/tex]
Therefore
[tex]a_9-a_1=(9-1)d=8d[/tex]
[tex]8d=56-8\\8d=48\qquad|:8\\d=6[/tex]
Substitute:
[tex]a_1=8,\ d=6,\ n=24\\\\a_{24}=8+(24-1)(6)=8+(23)(6)=8+138=146[/tex]
How long will it take you to drive 120 miles at a speed of 15 per hours
All we have to do is divide 120 by 15
120 ÷ 15 = 8
Therefore, it will take 8 hours to drive 120 miles at a speed of 15 mph
Hope this helps
-AaronWiseIsBae
15miles = 60minutes
divide 15 by 120 which equals 8
8 times 60 equals 480
your answer should be 8 hours
The length of rectangular field is twice its breadth.If the perimeter of the field is 228,find the dimensions of the field
We have the equations: l = 2b and 2l + 2b = 228;
Then, 4b + 2b = 228;
6b = 228;
b = 228/6;
b = 38 (breadth);
l = 2·38;
l = 76 (length);
What is the length of the hypotenuse of the right triangle defined by the points (–3, –1), (1, –1), and (1, 2)?
First we have to see which is the right angle. This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.
So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)
The length is given by
[tex]d = \sqrt{ (1 - -3)^2 + (2 - -1)^2} = \sqrt{4^2+3^2}=\sqrt{25} = 5[/tex]
This is a 3/4/5 right triangle.
Answer: 5
Jan has a 10-ounce smoothie.Four ounces in the smoothie are vanilla yogurt,and the rest is orange juice.What are two equivalent fraction that represents the fraction of the smoothie that is vanilla yogurt?
Vista company inc. Had a beginning inventory of 100 units of product RST at a cost of $8 per unit. During the year, purchases were. Determine the cost of goods available for sale
a) The cost of goods available for sale is $16,800.
b) The calculated values for the cost of goods sold under the FIFO and LIFO methods match the values obtained using the formulas, proving their accuracy.
(a) Beginning Inventory:
100 units at $8 per unit = $800
Purchases:
Feb. 20:
600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Available for Sale
= $800 + $5,400 + $5,000 + $4,400 + $1,200
= $16,800
Therefore, the cost of goods is $16,800.
(b) Given the sales of 1,500 units,
FIFO (First-In, First-Out):
The ending inventory consists of the most recent purchases.
Ending Inventory (FIFO):
Dec. 8: 100 units at $12 per unit
= $1,200
Cost of Goods Sold (FIFO):
Beginning Inventory: 100 units at $8 per unit = $800
Feb. 20: 600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 200 units at $11 per unit
= $2,200
Total Cost of Goods Sold (FIFO):
$800 + $5,400 + $5,000 + $2,200
= $13,400
LIFO (Last-In, First-Out):
Ending Inventory (LIFO):
Beginning Inventory: 100 units at $8 per unit = $800
Feb. 20: 400 units at $9 per unit = $3,600
Cost of Goods Sold (LIFO):
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Sold (LIFO):
= $5,000 + $4,400 + $1,200
= $10,600
Average-Cost:
Total Cost of Goods Available for Sale: $16,800
Total Units Available for Sale:
Beginning Inventory: 100 units
Feb. 20: 600 units
May 5: 500 units
Aug. 12: 400 units
Dec. 8: 100 units
Total Units Available for Sale:
= 100 + 600 + 500 + 400 + 100
= 1,700 units
Average Unit Cost:
= Total Cost of Goods Available for Sale / Total Units Available for Sale
= $16,800 / 1,700 units
= $9.882 per unit
Ending Inventory:
Remaining Units: 1,700 units - 1,500 units (sold)
= 200 units
Ending Inventory = Remaining Units x Average Unit Cost
= 200 units x $9.882
= $1,976.40
Cost of Goods Sold (Average-Cost):
Total Cost of Goods Available for Sale - Ending Inventory
$16,800 - $1,976.40 ≈ $14,823.60
Therefore, under the average-cost method:
Ending Inventory ≈ $1,976.40
Cost of Goods Sold ≈ $14,823.60
Compare the calculated values with the cost of goods sold formulas.
FIFO Cost of Goods Sold:
Beginning Inventory: 100 units at $8 per unit
= $800
Feb. 20: 600 units at $9 per unit
= $5,400
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 200 units at $11 per unit
= $2,200
Total Cost of Goods Sold (FIFO):
= $800 + $5,400 + $5,000 + $2,200
= $13,400
LIFO Cost of Goods Sold:
May 5: 500 units at $10 per unit
= $5,000
Aug. 12: 400 units at $11 per unit
= $4,400
Dec. 8: 100 units at $12 per unit
= $1,200
Total Cost of Goods Sold (LIFO):
= $5,000 + $4,400 + $1,200
= $10,600
The match the values obtained using the formulas, proving their accuracy.
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The question attached here seems to be incomplete, the complete question is:
Vista Company Inc. had a beginning inventory of 100 units of Product RST at a cost of $8 per unit. During the year, purchases were:
Feb. 20 600 units at $9
Aug. 12 400 units at $11
May 5 500 units at $10
Dec. 8 100 units at $12
Vista Company uses a periodic inventory system. Sales totaled 1,500 units.
Instructions
(a) Determine the cost of goods available for sale.
(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)
To find the total variable cost for 6 jackets, calculate the average variable cost per jacket from the 7 jackets and multiply by 6. Other given economic scenarios involve calculating firm profits, break-even points, and shutdown points based on provided cost structures and market conditions.
The question relates to determining the total variable cost of 6 jackets, based on the given information that 7 jackets have a total variable cost of $300. Without specific details on how the costs change with each additional jacket, a direct calculation is not possible. However, if we assume that the variable cost per jacket is consistent, we can calculate the average variable cost per jacket by dividing the total variable cost for 7 jackets by 7, which is roughly $42.86. We would then multiply this average variable cost by 6 to find the total variable cost for 6 jackets.
For the firm with a total fixed cost of $1,000, a total cost of $4,200, and an output of 500 units, the total variable cost is $3,200. Similarly, for the firm with a total fixed cost of $1,200, a total cost of $4,000, and an output of 1,000 units, the total variable cost is $2,800. This information helps to determine the firm's break-even and shutdown price points.
Struggling with an assignment that requires finding the probability of compound events. Can anyone please explain how to find it? Thank you!
Answer:
4/9 probability
Step-by-step explanation:
Imagine winning something, there's 3 possible prizes that you get to choose from and get to keep let's say 4 days? These all written on the paper that you must pull from a box.
Your three prizes are
D1 D2 D3 D4
1. a car
2. a bike
3. skateboard.
Now if you can imagine a grid and you mark 1 dot in each day we'll end up with 12 slots total.
Let's say you don't want a skateboard you rather have a car or a bike. We need to figure out of the 12 possibility (assuming all are equal) What's the possibility of you pulling out anything BUT a skateboard?
You want at least 3 days in either or. So we must find P = (Days without skateboard)
We know it's all equal outcomes, you're going to get 1 day of that 1 item.. soo..
p (DWS) = _____
12 outcomes
Now you want how many days MORE THAN 3, can you use anything but the skateboard?
You have 3 & 4 days with a car...
You have 3 or 4 days with a bike.. Which gives us 4 of the days we do want!
Giving your final problem the looking like this .. P(DWS) = 4/9
In respects/C to KhanAcademy.
Answer:
4/9 probrabitaty
Step-by-step explanation:
Solve 24>−3r≥−9. please help
[tex]24 > -3r\geq-9\ \ \ \ |\text{change the signs}\\\\-24 < 3r\leq9\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{-8 < r\leq3}[/tex]
Inequalities are used to represent unequal expressions.
The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
Given
[tex]24>-3r \ge -9[/tex]
Divide through by -3
[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]
Negative division changes the inequality sign
So, we have:
[tex]-8<r \le 3[/tex]
Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
See attachment for the graph of [tex]-8<r \le 3[/tex]
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Ashley has sold 70% of the 20 candy bars she is suppose to sell how many candy bars does she have left
She has sold 70% of 20
= 0.70 * 20
= 14 candy bars.
So she has 20 - 14 = 6 candy bars left
Help!!!
Please help my little sister understand this question.
Answer,
-17.1Explanation,
All they are asking you to do is input the numbers, "2.5" & "-14.6" into the eqation.
So, let's do that.
-2.5 - |-14.6|
Now, all you have to do is simplify,
-2.5 - |-14.6| = -17.1
Hope this helps :-)
you can find the midpoint of a line segment using paper folding constructions
A.True
B.False
The answer should be true
Hope it helps
The midpoint of a line segment using paper folding constructions yes it is true.
What are paper folding constructions?Comparable to mirroring one side of a plane in a crease, folding paper. So, to fold is to map one half of a plane onto another while also creating a crease.
The steps used to create a mid-point are given below:-
1. The top of the paper lies in itself; hence, we can say that the line segment lies in itself.
2. You have a new line at the centre of the paper. The point at the top of this centre line is the midpoint of the line segment.
3. The edges that lie on each other translate to the endpoints lying on each other.
Therefore, the midpoint of a line segment using paper folding constructions yes it is true.
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5.4 trillion gallons of water can supply six months of supply for 100 million households, how many househods
please write the complete question for answer
Perform the indicated operations: (2/x-2)+(x/x+9)-(x+20/x^2+7x-18)
Answer:
b second option
Step-by-step explanation:
just did on edge
Answer:
B
Step-by-step explanation:
Just did it
Which graph represents the inequality y > 3 − x ?
To solve this problem you must think in this way.
First we see that function y is greater than 3-x, conclusion is the following
shaded area must be above function. That condition is satisfied by the graph 3 and 4.
Then we write inequality in the slope form y> -x+3.
We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.
The correct answer is graph number 4 ( or D.)
Good luck!!!
plzzz help
2.-A line has an x-intercept of (4, 0) and a y-intercept of (0, 12). Find the slope of the line.
________________________________________
3.-A horizontal line includes the points (0, -5 ) and ( 2, -5 ) Find the slope of the line.
Answer:
A.(0, –5)
Step-by-step explanation: