Answer:
M = -3/2
C = 1/2
Explanation:
3 x + 2 y − 1 = 0
-> 2y = 1-3x
y=-3/2x+1/2
so M = -3/2 and C = 1/2
What fraction goes in the box to make it correct? 5/12×□=1
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]
[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]
[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]
[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]
[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]
[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]
[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]
[tex]\large\textbf{SIMPLIFY IT!}[/tex]
[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
2. A high school wants to double the size of its parking lot by expanding the existing lot as
shown below. By what distance should the lot be expanded?
x ft
kin
75ft
old parking lot
165ft
school
300 Ft
75 ft xft
The parking lot is located along the front and one side of the school
building.
The distance x with which the lot should be expanded is 60 feet.Reasons:
The given dimensions in the compound are;
Length of the school and the old parking lot = 300 + 75
Width of the school and the old parking lot = 165 + 75
Length of the school, the old and new parking lot = 300 + 75 + x
Width of the school and the old and new parking lot = 165 + 75 + x
Area of the new parking lot the school wants = Double the old parking lot
In terms of areas, we have;
New compound - School = 2 × (old compound - school)
Which gives;
(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)
2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500
Simplifying gives;
81,000 = x² + 615·x + 40,500
x² + 615·x + 40,500 - 81,000 = 0
x² + 615·x - 40,500 = 0
Factorizing with a graphing calculator gives;
(x - 60)·(x + 675) = 0
Therefore;
x = 60 or x = -675
Given that x is a natural number, we have, the correct value is; x = 60;
The distance with which the lot should be expanded, x = 60 feet.
Learn more about writing equations here:
https://brainly.com/question/20475360
https://brainly.com/question/7107994
The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.
Answer:
y=12x+3
Step-by-step explanation:
when parallel the slopes need to be the same but the y-intercept has to change
FOOTBALL Tyrell plays running back
and kicks field goals for his team. He
scores 6 points for a touchdown and
3 points for a field goal. In his last
game, he scored 24 points. This can be
represented by the function
6x + 3y = 24. Find the x- and
y-intercepts. Interpret the x- and
y-intercepts.
=
Answer:
x-intercept(s):
4,0
y-intercept(s):
0,8
Step-by-step explanation:
What percent of 55 is 44?
The number 44 is 80% of the number 55.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the numbers are 55 and 44. The percentage will be calculated below,
55 x X% = 44
X% = ( 44 x 100 ) / 55
X% = 80%
Therefore, the number 44 is 80% of the number 55.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ6
Describe how you will know if two variables are proportional in a table
Answer:
The graph of a straight line through the origin with a slope equal to the unit rate.
solve pls brainliest
Answer:
$30
Step-by-step explanation:
Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.
Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.
A school is arranging a field trip to the zoo. The school spends 515.84 dollars on passes for 30 students and 2 teachers. The school also spends 282.90 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
26.16
Step-by-step explanation:
I need to understand this better so Can I please get a step by step explanation? i will give brainiest
Answer:
10 inStep-by-step explanation:
The sides r, 10 and 20 are parallel to each other as all three are perpendicular to same line.
The triangles are similar as two sides are on same lines and another one is parallel as described above.
Work out the value of r using ratios of corresponding sides:
(r + 10)/(10 + 20) = r/10(r + 10)/30 = r/10r + 10 = 3r2r = 10r = 5 inNow, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:
(x + r)/r = (x + 2r + 10)/10(x + 5)/5 = (x + 20)/102(x + 5) = x + 202x + 10 = x + 20x = 10It’s multiplication and I need help
Answer:
tell me the question
Step-by-step explanation:
please mark me as brainlest
Solve w + 1∕4 < 7∕8.
Question 10 options:
A)
w < 5∕8
B)
w = 5∕8
C)
w > 5∕8
D)
w ≤ 5∕8
Answer:
w < 5/8
Step-by-step explanation:
The average 8- to 18-year-old spends____ per day on average in front of a screen doing very little to
no physical activity.
A. O hours
B 30 minutes
0. 1 hour
D 3 hours or more
Please select the best answer from the choices provided.
Answer:
3 hours or more
Step-by-step explanation:
why because of the games and entertainment
I willl mark brainiest plz answer send right answer get points
Answer: Option D
Step-by-step explanation:
Soup : 15/5 is 3 x 7 is 21
Peanut: 35/7 is 5 x 5 is 25
3. What is the area of the figure?
Answer:
981.75
Step-by-step explanation:
The area of a circle is πr^2, but this a semi circle, so you need to half it.
Jake took 4 piano lessons last month. For each lesson, he memorized 2 major scales and x minor scales.
b and c are the answers i think....
Identify the domain of the exponential function shown in the following graph :
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
someone solve all of this will give brainliest to first person that does (only answer circled numbers)
PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST
Answer:
1. is a solution
2. is a solution
3. not a solution
4. not a solution
5. not a solution
6. is a solution
7. is a solution
8. not a solution
Step-by-step explanation:
7.
Quentin takes piano lessons
each month. Last month, he
took 4 piano lessons and paid
$104. This month, he plans to
take 2 piano lessons. How much
will Quentin pay this month?
Answer:
52$
Step-by-step explanation:
104 / 4 = 26$ per lesson
2 piano lessons = 26 x 2 = 52$
I need help answering asap!
Answer:
4 is. R=11.94 D= 23.88
5 and 6 I am not sure tbh
7 D=60.50 R=30.25
8 D=60 C=120
Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?
From the graph, the solutions of the function represents the instants in which the ball hits the ground.
In the graph, we have that:
The x-axis is the time, ins seconds.The y-axis is the height of the ball, in feet.The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.
For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613
A line has a slope of 6 and passes through the point (2, 7) . What is its equation in slope "y-intercept" form?
Answer:
C
ON THE EDGE
Step-by-step explanation:
HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)
Answer: 1. 24
2. 32
3. 22
4. 16
5. 14
6. 34
7. 44
8. 30
9. 24
10. 50
Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest
the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area
Answer:
Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.
Step-by-step explanation:
Easy math stuff- Geometry- **Requires big bran**
Answer:
8.2 CM
Step-by-step explanation:
ACCORDING TO THE MODEL
radius = 9*2 - 8*2
Diameter = 2 times radius
ok I cant too hard to explain because Im typing so its 8.2cm so
X-2y=2 in slope intercept form
Answer:
I believe it's written y = 1/2x - 1
Hope this helps :)
what is the reciprocal of 4/15
Answer:
15/4
Explanation:
To find the reciprocal of a fraction, switch the denominator and the numerator, which will give you the reciprocal of a fraction.
Hoped this helped.
[tex]GeniusUser[/tex]
1. If you drink milk, then you grow?
Answer:
false
Step-by-step explanation:
we can drink water and still grow
Pls solve I need this today
Answer:
25
Step-by-step explanation:
-3/1x+1=10
Somebody answer please
Answer:
Step-by-step explanation:
3
+
1
−
1
=
1
0
−
1
3
=
9
3
3
=
9
3
=
3 answer