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
Jon makes $78 in 12 hours of work for his mom. How much would Jon make in 1 hour of work?
Answers
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answers
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
A survey was conducted of students at a highschool and at a college to determine students favorite subjects. The results are shown in the table. What percentage of the students are college students that prefer history?
Highschool-
history(80)
math (50)
science (70)
total(200)
College-
history (70)
math(60)
science (70)
total (200)
History total (150)
Math total (110)
science total (140)
Answers
Answer:35%
Step-by-step explanation:
So I’m not sure this is high school math because i’m still in grade school but...
So what you have to do is make a ratio
so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200
Then you want to do 70 * 200 which then you get a answer of .35
then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%
Hope this helps!
A total of 17.5% of students are college students that prefer history.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Total number of students = 400
Number of college students that prefer history = 70
Percentage is the division of the required number with the whole.
Percentage of students who are college students that prefer history is,
= (70 / 400) × 100
= 17.5%
Hence the percentage of students who are college students that prefer history is 17.5%.
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hellllp me with this plz thaks
Answers
Find the value of y given the value of x for y = 3 -4.3x when x = -3
Answers
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
Step-by-step explanation:
y=3-4.3x
y=3-(4.3*3)
y=3-12.9
y=-9.9
Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.
Answers
Hello, please help me with the following questions attached. It’s due at 11:59 pm and I really don’t know cause tbh I haven’t been paying attention in that class.
Answers
Answer: 3) 3/4 5) (0,1)
Step-by-step explanation:
For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense
1. please start to pay attention
1. an undefined slope is vertical
2. 90-70/15-3 = 20/12 = 10/6 = 5/3
3. 3/4 (rise over run)
4. slope: -1/5 y-intercept: 12
5. 1
6. y = 1/2x +b
3 = 1/2(1) +b
3 = 1/2+b
subtract 1/2 from both sides
2 1/2 = b
y = 1/2x + 2 1/2
which equaiton applies the assosiative property of multiplication
Answers
Answer:
3
Step-by-step explanation:
ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?
Answers
Answer:
6000 pieces of candy will be made in a 4 hour shift
Step-by-step explanation:
the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.
Write 2.08 x 10^2 in standard form.
Answers
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
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a=20 cm
b=48 cm
What is the length of c?
Answers
856 divided by 57 somebody please help?
Answers
Answer:
15.0175439
Step-by-step explanation:
856/57 = 15.017
Please tell me if it is correct! :)
[3.5x10^6]-[1.5x10^5] in scientific notation
Answers
Answer:
3.35 × 10^6
Step-by-step explanation:
Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.
Answers
Answer:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
We are dealing with consecutive integers; these are integers with a difference of 1 between them.let the first number = x
second number = x + 1
one - fifth of first;[tex]\frac{1}{5}[/tex]x
one - ninth of the second;[tex]\frac{1}{9}[/tex](x + 1)
for the "less" ;
[tex]\frac{1}{5}[/tex]x - [tex]\frac{1}{9}[/tex](x + 1) = 3
Multiply through by 45
45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36
what are the x-intercepts of this graph (show ur work)
Answers
Answer:
X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????
Step-by-step explanation:
See attachment for math work and answer.
You can also express the x-intercepts as points: (-2, 0) and (4, 0).
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
Answers
1. This year 60 out of 300 students at Irons Middle School signed up for art. Next year, enrollment is expected
to increase to 340 students. About how many students will likely sign up for art?
Answers
3(7 + x) verbal expression
Answers
Answer:
21+3x
Step-by-step explanation:
multiply the 3 by everything inside the parentheses
Item 10 Question 1 Solve the equation y/3=5 .
Answers
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply each side by 3
y/3 *3 = 5*3
y = 15
A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
Answers
Answer:
0
Step-by-step explanation:
The slopes of parallel lines are equal.
Since the slope of the 2nd Ave. line is horizontal, it has no slope.
This means that the new road should also have no slope.
Hope this helps.
The 2nd-eve line is horizontal then the slope of the line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.
Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 0 ) / ( -4 + 2 )
Slope = 0
Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.
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A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
Answers
I need help with the #1 question. please help me
Answers
Answer:
The answer to number 1 is geometric sequence of A>
Step-by-step explanation:
Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7
Answers
Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
Calvin starts a business and has to
take out a loan of $500. He makes
a profit of $200 during the first
month and then for the next two
months records a profit of $-20
and the fourth month made a
profit of $300. What is the total
profit for the first four months of
Calvin's business?
Answers
Answer:
-40
Step-by-step explanation:
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answers
Hope this helped! :))
Answer:
C
Step-by-step explanation:
Which expression has the greatest value?
A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2
Answers
the answer is c you just have to solve each one
A bird was flying 26 feet above a lake. It descended 28 feet to grab a fish. What integer represents the depth of the fish when the bird grabbed it
Answers
Answer:
it's -2
Step-by-step explanation:
just subtract ☺️
Answer:
-2
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answers
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
A LOT OF POINTSS
find the surface area
Answers
Answer:
He used 286.73² in. of wrapping paper.
Answer:
I got 286.73
Step-by-step explanation:
I found the area of all the shapes in the thing and added them.
Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73
Is (1,1) a solution to this system of inequalities
Answers
Explanation: It doesn’t work