Answers
[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]
[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]
[tex]\tt6-6x=16x+48 [/tex]
[tex]\tt6-6x-16x=48 [/tex]
[tex]\tt6-22x=48 [/tex]
[tex]\tt-22x=42 [/tex]
[tex]\tt\:x=\frac{42}{-22} [/tex]
[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]
Method used :-
◇ ✖ Cross multiplication ❌
________
Hope it helps ⚜
Step-by-step explanation:
Given equation is [{(2-2x)/4} = {(4x+12)/3]
On applying cross multiplication then
Since, (a/b) = (c/d)
⇛ab = bc
Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).
Now,
⇛3(2-2x) = 4(4x+12)
Multiply the number outside the bracket with numbers and variables in the bracket.
⇛6 - 6x = 16x + 48
Shift the variable value on LHS and constant on RHS.
⇛-6x - 16x = 48-6
Subtract the values on LHS and RHS.
⇛-22x = 42
Shift the value (-22) from LHS to RHS.
⇛x = 42/-22
Write the obtained answer in lowest form by cancelling method.
⇛x = (42÷2)/(-22÷2)
Therefore, x = 21/-11 = -(21/11)
Answer: Hence the value of x for the given problem is -21/11.
VERIFICATION:
If x = -21/11 then the equation is
[{(2-2x)/4} = {(4x+12)/3]
Substitute the value x = -21/11 in expression, then
⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]
Multiply (-2) from (-21) to get 42 on LHS.
⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]
Again multiply 4 from (-21) to get 81 on RHS.
⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]
Take the LCM of the denominator 1 and 11 is 11 on LHS
⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]
Multiply the numerator on both LHS and RHS.
⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]
Add the numerator numbers on both LHS and RHS
⇛[{(64/11)}/4 = [{(48/11)}/3]
Now, conver the division fraction in multiply fraction on both LHS and RHS.
⇛[{(64/11) * 4} = {(48/11) * 3}]
Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.
⇛(16/11) = (16/11)
LHS = RHS
Please let me know if you have any other questions.
Related Questions
Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?
Answers
Kenneth collected 60 bins of bottles.
Solution:
(7 2/5) * (7 5/6) = 60.05
Which expression is equivalent to 45 divided by (2 - x)
Answers
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.
Answers
The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
To learn more about net present value, please check: https://brainly.com/question/13739943?referrer=searchResult
Would anyone help me with this please, worth 20 pts.
Answers
Answer:
Below in bold.
Step-by-step explanation:
The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.
So the perimeter = 3*5 + π r
= 15 + 2.5π
= 22.85 in to the nearest hundredth.
Holding the price level constant, we would expect that if the multiplier is 1.5, the cumulative effect of this change in M on AD will be: $ billion
Answers
What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?
A. Y=3x +4
B. Y= 3x - 14
C. Y= 3x - 4
D. Y= 3x + 12
Answers
Answer:
C. y=3x-4
Step-by-step explanation:
I just know trust me
For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?
Answers
If AD = 12 and BD = 14, what is CD?
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
a. 7
b. 10.29
C. 12.54
d. 16.33
Answers
Answer: D. 16.33
Step-by-step explanation:
What is 6 3/4 percent of 800
Answers
Answer:
54
Step-by-step explanation:
6 3/4 = 6*4 + 3 / 4
= 27/4
=> 27/4 /100 * 800
=> 27/400 * 800
=> 27 * 2
=> 54
What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?
Answers
Answer:
y - intercept = 5
Step-by-step explanation:
Equation: y = mx + b
Input the given values
3 = -1(2) + b
3 = -2 + b
5 = b
-Chetan K
Identify the measure of MN in the diagram.
Answers
three-quarters the product of two numbers x and y
Answers
Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
What is an equation of the line that passes through the points (-2,1) and (6,-7)
Answers
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
Answers
So the answer is 24.25
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
For more about the number system,
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Anna can jump 35 times in one minute. This is
70% as many as Alexander can jump in one
minute. How many times can Alexander jump in
a minute?
Answers
Answer:
Alex can jump 50 times in one minute.
Step-by-step explanation:
1.) Start off by creating your equation.
It says that Anna can jump 35 times in one minute. It continues to say, that this value IS 70% as many as Alexander can jump in one minute. Thus, your equation should look like this:
x represents the number of jumps Alexander can do in one minute
35 = 0.70x
2.) Solve for x
35 = 0.70x
35/0.70 = x
50 = x
I hoped this helped. Good luck!
Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8
Answers
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
1.2×2.8
= (2-0.8)(2+0.8)
= (2)^2 - (0.8)^2
= 4 - 0.64
= 3.36
Answer:3.36
Hope it helps.
Do comment if you have any query
Please help answer this! I will give you 10 pts! :DD ( please don't say non-sense I really need the answer! )
Answers
Answer:
angle a = angle bac = 90 degrees
angle b = angle abc
angle c = angle acb
Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20
Answers
Answer: The Chocolate shop
Step-by-step explanation:
We should get the cost per one pack for each store.
For the Sweet Store we divide 3.00 by twelve for the cost of one which is:
3 divided by 12 = 0.25
One pack at a sweet store is $0.25
Now do the same for the other stores:
4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)
5.40 divided by 18 = 0.3
7.20 divided by 36 = 0.2
Sweet Store: one pack is $0.25
Delicious Treats: one pack is $0.21
Sugar Factory: one pack is $0.30
Chocolate Shop: one pack is $0.20
Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.
PLZ HElp 24nanjoshua PLZZZZ
Answers
Answer: 11/14
Step-by-step explanation:
1/7 = 2/14 (when you time 2 at the top and at the bottom)
2/14 + 9/14 = 11/14
Just do 2/14+9/14=11/14
The first term of an arithmetic sequence is 4. The rule a↓n=a↓n+1 + 5 can be used to find the next term of the sequence.
a 4
b 5
c 9
d -1
Answers
Answer:
c. 9
Step-by-step explanation:
Using the rule, substituting 4 for a↓1, we find the next term to be ...
[tex]a_2 = a_1 +5\\\\a_2=4 +5\\\\\boxed{a_2=9}[/tex]
If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is
Answers
=====================================================
Explanation:
Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.
According to the table, there are...
A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".
Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".
The probability we want is therefore 4/26 = 2/13
The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154
See attachment for the sample space of a roll of two dice.
From the attached sample space,
The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.
So, we have:
[tex]n(A) = 26[/tex]
[tex]n(A\ n\ B) = 4[/tex]
The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:
[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]
This gives
[tex]Pr = \frac{4}{26}[/tex]
[tex]Pr = 0.154[/tex]
Hence, the probability is 0.154
Read more about probability at:
https://brainly.com/question/251701
150-5r is greater than or equal to 87.5
Find the value of r?
Answers
Answer:
R=12.5
Step-by-step explanation:
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
Answers
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
SLOVE I GIVE BRAINLEST
18+ -27
A. -45
B. -9
C. 9
D. 48
Answers
Answer:
B: -9
Step-by-step explanation:
When you add a negative number, you subtract that number.
[tex]18+-27=18-27=-9[/tex]
= 18-27
= - 9
Answer will be B
A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d
Answers
Answer:
d = 22
Step-by-step explanation:
Substitute given slope and A to the equation y = mx + b to find b
y= mx + b
10 = 4.2 +b
10 = 8 + b
10 - 8 = 8 - 8 + b
b = 2
Then we have y = 4x + 2 when we substitute b and m.
They give x value of point B, we can plug it in and find y value which is d in this question.
y = 4x + 2
y = 4.5 +2
y = 22
Therefore, d = 22
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answers
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
Can someone give more explanation
Answers
You just have to underline the word that connects two sentences .
for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.
1.= under line so
2.= under line yet
3.= under line but
4.= under line so
Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations
Answers
Answer: 35
Step-by-step explanation:
Please help!!
Determine whether the inverse of F(x) is a function.
Answers
Answer:
Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.
Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.
The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.
There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?
Answers
Answer: The answer is to this math question is 18.75% of the students play the soccer after school.
Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:
Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]
Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.
Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]
Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.
Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.
I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.