Answers
[tex]\sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex] or [tex]\sf \dfrac{54a-52}{24}[/tex]
======================================
[tex]\sf \rightarrow 7\left(\dfrac{5}{14}a-\dfrac{5}{21}\right)-\dfrac{1}{12}\left(3a+6\right)[/tex]
use distributive method
[tex]\sf \rightarrow \dfrac{5a}{2}-\dfrac{5}{3}-\dfrac{a}{4}-\dfrac{1}{2}[/tex]
group terms
[tex]\rightarrow \sf \rigtharrow \dfrac{5a}{2}-\dfrac{a}{4}-\dfrac{5}{3}-\dfrac{1}{2}[/tex]
make the denominators same
[tex]\rightarrow \sf \rigtharrow \dfrac{2(5a)}{4}-\dfrac{a}{4}-\dfrac{2(5)}{6}-\dfrac{3(1)}{6}[/tex]
simplify
[tex]\rightarrow \sf \rigtharrow \dfrac{10a-a}{4}-\dfrac{10+3}{6}[/tex]
answer in separate constants
[tex]\rightarrow \sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]
make the denominators same
[tex]\rightarrow \sf \dfrac{6(9a)}{24}-\dfrac{4(13)}{24}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{54a}{24}-\dfrac{52}{24}[/tex]
join both fractions
[tex]\rightarrow \sf \dfrac{54a-52}{24}[/tex]
Answer:
[tex]\boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
Step-by-step explanation:
[tex]7(\dfrac{5a}{14} - \dfrac{5}{21} ) - \dfrac{(3a + 6)}{12}[/tex]
Step-1: Simplify the distributive property
⇒ [tex]\dfrac{35a}{14} - \dfrac{35}{21} - \dfrac{(3a + 6)}{12}[/tex]
Step-2: Make common denominators
⇒ [tex]\dfrac{35a \times 3}{14 \times 3} - \dfrac{35 \times 2}{21 \times 2} - \dfrac{7 \times (3a + 6)}{12 \times 7}[/tex]
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{7 \times (3a + 6)}{84}[/tex]
Step-3: Simplify the distributive property
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a + 42}{84}[/tex]
Step-4: Rewrite (21a + 42)/84 in a different way
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a}{84} + \dfrac{42}{84}[/tex]
Step-5: Add/Subtract if necessary
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}}[/tex]
Step-6: Simplify the fractions
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}} = {\dfrac{9a}{4} - \dfrac{49}{42}} = \boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
Related Questions
how many faraday passes through a resistance in a circuit carrying a current of 1.68 A for 2 days (1F = 965000 (principal quantum number) is 3 A. FB. 2F C. 3F D. 4F
Answers
Answer:
b
Step-by-step explanation:
solve this system of equations 2x+4y=-48
Answers
Answer:
x=-24-2y
y=-12-x/2
Step-by-step explanation:
To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.
To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.
Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even? a. Mary sells 54 units; Jay sells 51 units; Abby sells 43 units b. Mary sells 54 units; Jay sells 43 units; Abby sells 51 units c. Mary sells 43 units; Jay sells 51 units; Abby sells 54 units d. Mary sells 43 units; Jay sells 54 units; Abby sells 51 units Please select the best answer from the choices provided
Answers
The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.
What is a break even point?The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.
Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,
Cost price C=$61.25Sells price S=$142.50Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.
Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,
[tex]n=51+43+54\\n=148[/tex]
Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,
[tex]R=148\times142.50\\R=21090[/tex]
The cost price is $61.25. Thus, the cost of production of 148 units is,
[tex]R=148\times61.25\\R=9065[/tex]
Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells units; Abby sells 54 units. Thus, the total cost,
[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]
The total cost is equal to the total revenue. This point is break even point.
Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.
Learn more about the break even point here;
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Answer:
c.
Mary sells 43 units; Jay sells 51 units; Abby sells 54 units
Solve the system of equation.
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answers
Answer:
Equation 1: x + 3y = 17
Equation 2: -x + 2y = 8
Add Equation 2 to Equation 1:
x + 3y = 17
+ -x + 2y = 8
5y = 25
Divide both sides by 5:
[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]
[tex]\sf \implies y=5[/tex]
Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat
need for 18 muffins?
A. 3 cups flour and 3/4 cup butter
B. 2 3/4 cups flower and 1/8 cup butter
C. 2 cups flower and 1/2 cup butter
D. 2 1/4 cups of flower and 3/8 cup butter
Answers
Answer:
D
Step-by-step explanation:
To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.
Calculating the Surface Area of Prisms
4 yd
2 yd
5 yd.
3 yd
3 yd.
Find the surface area of the prism above.
I need help please someone!!
Answers
360 yd
Multiply all numbers to get 360 yd
i need help please i am giving 100 points and brainliest
Answers
Answer:
-3
Step-by-step explanation:
-7x + 4x = 9
-3x = 9
x = 9/(-3)
x = -3MARK ME AS BRAINLIST2nd: divide -3 on BOTH sides which would look like:
-3x=9
- -
-3 -3
which would then equal
x= -3
PLEASE HELP ME 100 POINTS AND BRAINLY!!!
Answers
Answer:
1. 220 minutes
2. $45.6
Step-by-step explanation:
Find the area of the figure below. Show all work for each step. Work should inc
radical. Take your time and be thorough. Include units in final answer.
(-5√2+5√5) ft
(3√2 + 4√5) ft
Answers
Answer:
[tex]5\sqrt{10} +70[/tex] ft
Step-by-step explanation:
AREA = LENGTH x WIDTH
[tex](-5\sqrt{2}+5\sqrt{5})(3\sqrt{2} +4\sqrt{5} )[/tex]
[tex]-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)[/tex]
[tex]-30-5\sqrt{10} +100[/tex]
[tex]5\sqrt{10} +70[/tex]
Important things to keep in mind:
[tex]\sqrt{2} (\sqrt{2} )=2(2)=4[/tex] Radical goes away (same #)[tex]\sqrt{2} (\sqrt{5})=\sqrt{10}[/tex]show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.
thankyou! :)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given function is :
[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]
here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.
but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]
Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%
Answers
Answer:
what is the question?
do you have to find how much she is investing?
find the measure of angles 1, 2, 3, 4, 5 ,6 and 7
Answers
Answer:
angle1=70
angle2=65
angle4=115
angle7=45
angel6=45
angle5=45
Step-by-step explanation:
110+angle1 = 180
angle1 =180-70
angle1 = 70
115+angle2=180
angle2=180-115
angle2=65
angle4=115 because lines are parallel
angle1+angle2+angle7=180 because triangle
70+65+angle7=180
135+angle7=180
angle7=180-135
angle7=45
angel6=45
angle5=45
Can somebody help me I’m confused on how solving the equation
Answers
Answer:
You answer is.
(d)YesA = -9Step-by-step explanation:
Example Problem.
y = 2^ (x - h) + k
y = 8^(x-0) - 9
The h = 0 so there no transition left/right.
There is a k = -9 which means transition down/up but it is a negative so down.
Domain: all real number ( -inf , +inf)
Range: (k, inf) -> (-9, +inf)
k = -9 is also y=-9 that the graph can't pass.
Select the correct answer.
The parallelogram has an area of 20 square inches. What are the dimensions of the parallelogram, to the nearest hundredth of an inch?
40°
4 in
h
OA. I = 2.57 in, h = 7.78 in
OB. I = 6.22 in, h = 3.23 in
Answers
The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.
What are the dimensions of the parallelogram?Trigonometry would be used to determine the base and the length of the parallelogram.
Base: cos 40 = adjacent /hypotenuse
0,7660 = adjacent / 4
adjacent = 4 x 0.7660 = 3.06 in
Length = area / base
20 / 3.06 = 6.54 in
To learn more about parallelograms, please check: https://brainly.com/question/15259486
Find 13x2/5
Please answer this in 5 min
Answers
Answer:
5.2 I hope this helps. Im not the best at math...
Answer:
the answer should be like 5.2 or something close to that.
Step-by-step explanation:
i tried doing the math no promises that its right..
Which of the following quadrilaterals is also a parallelogram?
Answers
Answer:
RECTANGLEA rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.
Well has -55.00 in his account if he saves $2.50 his mom gives him lunch every day, how many days will it be until he has a balance of at least $0
Answers
Answer:
22 days
Step-by-step explanation:
55 divided by 2.5=22 days
Answer: 22 Days
Step-by-step explanation:
-55.00/2.50= -22
But since you can’t have a negative answer then you have to make it positive for your amount of days! So it would take that person 22 days to have 0 in his account!
- I hope this helped! I tried my best but definitely double check with your teacher for this answer!
You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?
Answers
7=10%x
7•10=x
x=70
What is the median for the following set of data?
4, 4, 6, 10, 12, 13, 15, 16
a 12
b 10
c 11
d 16
Answers
Answer:
C
Step-by-step explanation:
The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.
Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2
[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]
are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6
Answers
Answer:
perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.
Justify the first step that David took in verifying that x = 5 is a solution for the equation
8x – 13 = 2x + 17.
8x – 13 = 2x + 17
8(5) – 13 = 2(5) + 17
A.
David multiplied 8 by 5.
B.
David subtracted 13 from both sides.
C.
David replaced x with 5.
D.
David added 17 to both sides.
Answers
Answer:
Step by step I don't see the correct first step.
Step-by-step explanation:
Solve for x:
8 x - 13 = 2 x + 17
Hint: | Move terms with x to the left hand side.
Subtract 2 x from both sides:
(8 x - 2 x) - 13 = (2 x - 2 x) + 17
Hint: | Combine like terms in 8 x - 2 x.
8 x - 2 x = 6 x:
6 x - 13 = (2 x - 2 x) + 17
Hint: | Look for the difference of two identical terms.
2 x - 2 x = 0:
6 x - 13 = 17
Hint: | Isolate terms with x to the left hand side.
Add 13 to both sides:
6 x + (13 - 13) = 13 + 17
Hint: | Look for the difference of two identical terms.
13 - 13 = 0:
6 x = 17 + 13
Hint: | Evaluate 17 + 13.
17 + 13 = 30:
6 x = 30
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 30 by 6:
(6 x)/6 = 30/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 30/6
Hint: | Reduce 30/6 to lowest terms. Start by finding the GCD of 30 and 6.
The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:
Answer: x = 5
Drag each equation to the correct location on the table.
Match the inequalities with the value of a for which they hold true.
2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
4 + 3a + 8 < 16
3a − 2a + 1 > 2
14 + 5a < 12a + 1
Answers
a=1
-2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
a=2
-4 + 3a + 8 < 16
14 + 5a < 12a + 1
3a − 2a + 1 > 2
I’m confused can someone help?
Answers
Answer:
(a) check the first one, and the second one
(b) check the last one
Step-by-step explanation:
This is quite easy actually.
(A)3x+24 = 3 * x + 3 * 8
3(x+8) using distribute property.
3x + 24
You cannot simplify 3x+24 any further
And 3(8x+1) just doesn't work
since it's multiplying
The "*" is an X sign
(B)The first, second, and third are not correct
But the last one is.
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Question 2-14
Andy and Brett are selling tickets to their high school baseball game
• A total of 234 tickets were sold to the game
• Student tickets cost $5 each
. General tickets cost $ each
. The total revenue from ticket sales was $1268
Which statements are true? Choose all that are correct
The total revenue from the student tickets was $925.
A total of 185 student tickets were sold.
Olfg is the number of general tickets sold and s is the number
11
student tickets sold, the total revenue generated by the student and general tickets can be represented by the oquation 58 + 79 = 1,268
O Atotal of 98 general tickets were sold.
The revenue from the general tickets was greater than the revenue from the student tickets.
Ifg is the number of general tickets sold and s is the number of student tickets sold, thens + g = 234
POUS
Type here to search
O
BI
Answers
Answer:
the 1st, 2nd and 6th statements are true.
and probably the 3rd statement is true.
I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.
but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.
if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.
Step-by-step explanation:
g = number of general tickets sold
s = number of student tickets sold
so, in total
g + s = 234
tickets were sold.
and the revenue was
7g + 5s = $1,268
out of these 2 basic equating we get
g = 234 - s
and then
7(234 - s) + 5s = 1,268
1,638 - 7s + 5s = 1,268
-2s = -370
s = 185
g = 234 - s = 234 - 185 = 49
so, we know
185 student tickets were sold for 5×185 = $925
49 general tickets were sold for 7×49 = $343
PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray
What is the sum of their ages now?
Answers
Answer: The sum will be x+y because their ages are variables.
Step-by-step explanation:
Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To find the number of cards c that Spencer had originally, he solved the equation Ask Your Teacher. How many baseball cards did Spencer originally have?
Answers
Answer:
64 cards
Step-by-step explanation:
16*4 = 64
Answer:
64!!
Step-by-step explanation:
Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!
Hope this helps! (brainliest please)
Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?
Answers
Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
An item on sale costs 60% of the original price. If the original price was $30, what is the sale price?
si
Х 5 ?
Answers
Answer: $18
Step-by-step explanation:
60% of original cost means 40% is taken off
40% = 0.4
30 x 0.4 = 12 so that is how much will be taken off
30-12= 18
$18
Reason Does the division 25/6 have a remainder?
How do you know?
Answers
Answer:
Yes
Step-by-step explanation:
If you divide 26 by six, you get s decimal smaller than 5. Remember, 5*5=25. 6*5=30, so that doesn't work. 6*4=24, so that does. Then you get four with a remainder of one.
Linda counted different colored leaves on a tree. She counted 8 red leaves. She also counted 3 times as many yellow leaves as red leaves. How many yellow leaves did Linda count?
Answers
to find the number of yellow leaves you'll have to multiply number of red leaves she counted by 3.
8×3
=24
Linda counted 24 yellow leaves.
Linda counts 24 yellow leaves in total
How to determine the number of yellow leaves?The number of red leaves is given as:
Red = 8
The statement 3 times as many yellow leaves as red leaves means that:
Yellow = Red * 3
So, we have:
Yellow = 8 * 3
Evaluate the product
Yellow = 24
Hence, Linda counts 24 yellow leaves in total
Read more about products at:
https://brainly.com/question/10873737