Answers
Answer:
[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer
[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer
Step-by-step explanation:
To solve any equation for one of its variable do that:
Separate the variable on one side and the other terms on the other sideMake the coefficient of the variable = 1∵ [tex]\frac{2m+b}{g}=k[/tex]
→ Multiply both sides by g to take g to the right side
∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]
∴ 2m + b = kg
→ Divide both sides by k, to move k to the left side
∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]
∴ [tex]\frac{2m+b}{k}=g[/tex]
→ Switch the two sides
∴ [tex]g=\frac{2m+b}{k}[/tex]
∵ ax + bx = c
→ Take x as a common factor from the both terms on the left side
∴ x(a + b) = c
→ Divide both sides by (a + b) to move it to the right sides
∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]
∴ [tex]x=\frac{c}{(a+b)}[/tex]
Related Questions
At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Winner is paid :
Monthly pay while on tour = $5000
Pay per CD sold =. $2
A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.
(Monthly pay * number of months) + (pay per CD * number of CD's)
Earning = 5000m + 2n
B) How much will the winner earn after the first month if 500 CDs are sold?
m = 1, n = 500
5000(1) + 2(500) = $6000
C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?
m = 3
74000 = 5000(3) + 2n
74000 = 15000 + 2n
74000 - 15000 = 2n
59000 = 2n
n = 59000 / 2
n = 29500 CD's
D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
n = Gold = 50000 ; m = 6
5000(6) + 2(50000)
30000 + 100000 = 130,000
Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?
Answers
Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12
Answers
what is the answer to
-6+n=6
How do you solve it
Answers
Answer:
n=12
Step-by-step explanation:
-6+n=6
n=6+6
n=12
Is 0.88 a terminating decimal
Answers
hope this helped you
Answer:
no
Step-by-step explanation:
its a equation not a decimal making it false.
Which expressions are equivalent to 5 the power of 18
Answers
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
Me after jumping in joy after I found out Netflix is facing criminal charges
Answers
lol same tbh even tho ion have netflix anymore
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Answers
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer:
d+m=120
d=2m
Step-by-step explanation:
a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=
Answers
Step-by-step explanation:
hope this helps you!! :))
The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
What is angle ?Angle is the space between two lines or surfaces that meet, and is measured in degrees.
So,
According to the question;
[tex]\angle x =65^0[/tex]
([tex]\angle x[/tex] is vertically opposite of the given angle [tex]65^0[/tex])
[tex]\angle y = 71^0[/tex]
(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)
We know that,
Sum of all angles of triangle is equals to [tex]180^0[/tex].
i.e.
[tex]x+y+z=180^0[/tex]
we have,
[tex]65+71+z=180[/tex]
[tex]z=180-136[/tex]
[tex]z=44^0[/tex]
So, the value of [tex]z[/tex] is [tex]44^0[/tex].
Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
To know more about angle click here
https://brainly.com/question/7116550
#SPJ2
Will Give Brainliest if Correct
Answers
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]
So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]
So, the answer for part (b) is -3/26.
Step-by-step explanation:
So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.
Solution of a:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]
Answer of a:[tex]0[/tex]
Solution of b:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]
Answer of b:[tex]-\frac{3}{26}\\[/tex]
What is the equation of the following graph
Answers
Answer:
y=1 is the equation! :))
Step-by-step explanation:
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)
Answers
Answer:
Step-by-step explanation:
7 ) -3p=-48
p=-48/-3
p=168) -98=7t
t=-98/7
t=-149) -4.4 y =-4
y=-4/-4.4
y=1.110) 2.8 c=4.2
c=4.2/2.8
c= 1.5MARKING BRAINLIEST, PLEASE HELP.
In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?
Answers
Answer:
360 degrees
Step-by-step explanation:
a rectangle has a total of 360 degrees and all the x and y values are at the corners so...
It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)
Answers
Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
Please help i’ll give brainliest
Answers
Answer:
C
Step-by-step explanation:
Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.
I hope this helps!
Answer:
60⁰..................
Use the graph to find the midpoint between O and H.
(4, -1)
(-2, 8)
(8, -2)
(-1, 4)
Answers
Answer:
(-1, 4)
Step-by-step explanation:
-5+3/2 = -1
6+ 2/2 = 4
(-1, 4)
Please help Math answers
Answers
Answer:
on example 1, both are right triangles.
Adrian bought 20 chicken wings for $44.00. How much does each wing cost?
Answers
Answer:
my crushes name is Adrian but the answer is $2.20
Step-by-step explanation:
yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}
Answers
For the following right triangle, find the side length x.
Answers
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
-2, -7, -12,-17, ...
find out the nth term
Answers
Answer: -42
Step-by-step explanation:
Add 5 to each number until you reach the ninth term.
Answer:
-42 is the ninth term
Step-by-step explanation:
You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:
-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)
Evaluate the expression for z = 3.
z2
Answers
Answer:
6
Step-by-step explanation:
z=3
z2= 3*2 = 6
Good luck
Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.
Answers
Answer:
The answer is "More accurately is the left hand".
Step-by-step explanation:
In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.
solve 3(x-4)=16+5x show work
Answers
Answer:
hi… I think it's written that way
Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has
$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for
writing the check?
Answers
Answer:
she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store
Step-by-step explanation:
We are told she wrote a check to the grocery store for $156.00.
And that when she looked at her check register later that day, she had only $122.66.
This means she doesn't have sufficient balance for the grocery.
It means the bank will pay the overdraft and it attracts charges which may vary for different banks.
Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answers
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
What Is 2+4? I need to know.
Answers
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
Please help me idk this
Answers
Answer:
Step-by-step explanation:
SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot
Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!
Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.
SO. Step number one: put the numbers in order from least to greatest.
Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:
0|2 = 2
0|3 =3
0|4 =4
0|5 =5
0|9 =9
1|0 =10
1|2 =12
1|5 =15
1|5 =15
1|8 =18
2|0 =20
2|2 =22
3|5 =35
3|8 =38
4|1 =41
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
Answers
Answer:
Examine the diagram. It is not drawn to scale.
A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
In the diagram shown, m∠1 = 30° and m∠5 = 120°.
What is the sum of the measures of ∠4, ∠5, and ∠6?
✔ 360
degrees
Identify the following angle measures.
m∠2 =
✔ 60
degrees
m∠4 =
✔ 150
degrees
m∠6 =
✔ 90
degrees
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠4 = 180° (sum of angles in a straight line)
30 + m∠4 = 180°
m∠4 = 150°
m∠2 + m∠5 = 180° (sum of angles in a straight line)
120 + m∠2 = 180°
m∠2 = 60°
m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)
30 + 60 + m∠3 = 180°
m∠3 = 90
m∠3 + m∠6 = 180° (sum of angles in a straight line)
90 + m∠6 = 180°
m∠6 = 90°
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
Find out more on angle at: https://brainly.com/question/25770607
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12