Answer:
[tex]y=\frac{3}{5}x+5[/tex]
Step-by-step explanation:
The equation for a line in slope-intercept form is:
[tex]y=mx+b[/tex]
Let's go through what each variable represents:
"y": y-coordinate for any point on the line
"m": slope of the line
"x": x-coordinate for any point on the line
"b": y-intercept (where the line intercepts the y-axis; represented by only the y-coordinate since the x-coordinate is 0)
Given:
Slope = 3/5
Passes through point (5, 8) --> x = 5, y = 8
Find:
y-intercept
We have determined what the question has given us, and what we need to find. Now, we can substitute the given values into the equation:
[tex]y=mx+b\\8=\frac{3}{5}(5)+b\\8=\frac{15}{5}+b\\8=3+b\\$Subtract 3 from both sides\\$b=5[/tex]
Therefore the equation of the line is:
[tex]y=\frac{3}{5}x+5[/tex]
PLEASE HELP !!!!!!!!!
Which decimal is greater than 62.24
A. 61.99
B. 62.07
C. 62.15
D. 62.27
Answer:
the answer should be D
Step-by-step explanation:
62.27 is greater by 0.03
What is the difference of
(1/3-6m)-(1/4n-8)
The equation is (1/3-6m)-(1/4n-8).The equation's difference is -6m-1/4n+25/3.
Given that,
The equation is (1/3-6m)-(1/4n-8)
We have to find the difference of the equation.
What is difference?
Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math.
The difference in mathematical notation is minus (-).
To difference between whole numbers and natural numbers, take the following steps:
The values are initially arranged vertically according to their place values. Additionally, make sure that the larger number is on top and the smaller one is at the bottom.
Starting at the ones place, begin removing the numerals.
Take the equation,
(1/3-6m)-(1/4n-8)
Taking least common multiple.
(1-6×3m)/3-(1n-8×4)/4
By multiplication
(1-18m)/3-(n-32)/4
Taking the least common multiple.
4(1-18m)-3(n-32)/3×4
By multiplication
(4-72m-3n+96)/12
Now by adding
(-72m-3n+100)/12
By dividing
-6m-1/4n+25/3
Therefore, The difference of the equation is -6m-1/4n+25/3.
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WILL GIVE BRAINLIEST
Match the equations of the lines with their graphs
The basketball team earned $215 by washing cars. They want to buy basketballs that cost $39 each. How many can the team buy?
Answer:
The team can buy 5 basketballs
Step-by-step explanation:
215 / 39 = 5.51
or
5 with a remainder of 20 dollars.
We simply cannot buy 0.51 of a basketball, unless you bring a saw...
Answer:
they can buy 5 balls, and they will have 20 dollars left over.
Step-by-step explanation:
to solve, divide 215 by 39, so 215/39 which gives us 5.512. and since we cant have half of a ball, and we do not have enough capital to buy another ball, we settle for the 5. it isnt important, but to get the leftover money, just multiply 5 by 39, or 5x39 to get 195. then subtract the original value to get 20 dollars.
hope this helps, please rate and mark as brainlest.
What is the difference?
Answer:
29√5
Step-by-step explanation:
Randy is checking to determine if the expressions 2 x + 2 + 4 x and 2 (3 x + 1) are equivalent. When x = 3, he correctly finds that both expressions have a value of 20. When x = 2, he correctly evaluates the first expression to find that 2 x + 2 + 4 x = 14.
Please find attached full question
Answer and explanation:
Find attached answer and explanation
Need help ASAP! Tysmm
Answer:
Square
A=bh
A=6(6)
A=36m²
Triangle
A=½bh
A=4(3)(½)
A=12(½)
A=6m²
total
36-6=30m²
Find the volume of the cylinder. Find the volume of the cylinder with the same radius and double the height
Answer:
πr² x h and πr² x 2h
Step-by-step explanation:
Volume of Cylinder = base area x height
Volume of Cylinder = πr² x h
Volume with same radius but double the height:
Volume = πr² x 2h
Which table shows a constant rate of change?
Answer:
C
Step-by-step explanation:
It goes up by 225 each time. The others go up by different numbers each time.
WILL MARK YOU BRAINLIEST!!!!! Please help me with my geometry.
Answer: i believe your answer is c! i hope that helps!
Step-by-step explanation: im sorry ifs not, im not the gratest at this:(
Which type of motion is this an example of?
150 m/sec
1.acceleration
2.velocity
3.speed
Answer:
3. Speed
Step-by-step explanation:
acceleration is measured in m/s^2
velocity is speed plus direction
speed in measured in m/s
could u vote me brainliest plz, im trying to level up. thx:)
hello people ~
factorise: x² + 9x + 20
Answer:
[tex](x+4)(x+5)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+9x+20[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot 20=20[/tex]
[tex]b=9[/tex]
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
[tex]\implies x^2+4x+5x+20[/tex]
[tex]\implies (x^2+4x)+(5x+20)[/tex]
Factor the parentheses:
[tex]\implies x(x+4)+5(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies (x+4)(x+5)[/tex]
[tex]\\ \rm\rightarrowtail x^2+9x+20[/tex]
Use mid term splitation[tex]\\ \rm\rightarrowtail x^2+4x+5x+20[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+5(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+5)(x+4)[/tex]
Done!
Write a linear equation that passes through
the point (2, -9) and has a slope of -5 in
slope-intercept form.
Answer:
f(x)=-5(2)-9
Step-by-step explanation:
linear equation- f(x)=m(x)-y
x- the x intercept
y- the y intercept
m- slope
x=-5, y=-9 , m=-5
Help me someone please
Answer: 8 1/8 in
Hope this helps, tell me if thats wrong!
What is the equation of the line that passes through the point (2, -1) and has a slope of ?
Answer:
y = 3/2x - 4
Step-by-step explanation:
help with functions and relations
Answer:
It does NOT represent a function
Step-by-step explanation:
This DOES NOT represent a function because in the diagram 1 is connected to 8 and -3. If it was a function the number would connect to only one of them.
1) The cost of carpeting a floor with area 120 m² is Rs 3840. What is the cost of
carpeting the floor if its area is increased by 10² m??
Answer: 4,160
Step-by-step explanation:
cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place
Answer:
339.3m²
Step-by-step explanation:
Formula is volume= X radius² X height
First find radius, which is 1/2 of the diameter. 6/2= 3 is the radius
Then set up the equation: ()(3²)(12)
Put into calculator to get 339.3 (rounded to the tenths)
The volume of the cylinder will be 339.12 cubic meters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The cylinder has a base diameter of 6 m and a height of 12 m. Then the radius of the cylinder is calculated as,
r = d / 2
r = 6 / 2
r = 3 m
Then the volume of the cylinder is calculated as,
V = 3.14 x 3² x 12
V = 339.12 cubic meters
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1,000 to 1200 what is the percentage difference?
Answer:
20%
Step-by-step explanation:
200÷1000×100
.......
Help please 9a
I can’t solve it
Step-by-step explanation:
answer in the image here I hope it's good for you
Mrs Atkins is going to choose two students from her class to take part in a competition.
She can choose from 16 girls and 14 boys.
(a)
Work out the number of different ways of choosing one girl and one boy.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
[tex]16\times 14=224[/tex]
Therefore, the required number of different ways is 224.
a. The number of different ways of choosing one girl and one boy is 226
Calculation:Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
So, the number should be
[tex]= 16 \times 14[/tex]
= 224
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Simplify this question
2/4x+4 - 2x/2
Answer:
[tex] \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Step-by-step explanation:
[tex] \frac{2}{4x + 4} - \frac{2x}{2} [/tex]
[tex] = \frac{2 \times 2}{(4x + 4) \times 2} - \frac{(2x) \times (4x + 4) }{2 \times (4x + 4)} [/tex]
[tex] = \frac{4}{8x + 8} - \frac{8 {x}^{2} + 8x }{8x + 8} [/tex]
[tex] = \frac{4 - (8 {x}^{2} + 8x) }{8x + 8} [/tex]
[tex] = \frac{4 - 8 {x}^{2} - 8x }{8x + 8} [/tex]
[tex] = \frac{4 \times (1 - 2 {x}^{2} -2x ) }{4 \times (2x + 2)} [/tex]
[tex] = \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes? Plss answer asap (30 brainlist for the correct answer)
Answer:
1000 metres
Step-by-step explanation:
2 mins= 100 meters
20mins=
100meters × 20mins
2 mins
=1000 meters
Can some one help
It is about a scatter plot
Answer:
1: 3 billion
2: 1/1/14
Step-by-step explanation:
Hope this helps! Have a nice day!
|60| ___ |-60|
A =
B
Answer:
A= B/3600
B= 3600A
Step-by-step explanation:
A soccer goalie kicks the soccer ball. The quadratic function y = −16t2 + 64t gives the time t seconds when the soccer ball is at a height 0 feet. How long does it take for the soccer ball to return to the ground?
Answer:
The correct answer is 4 sec
Step-by-step explanation:
The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.
What is a polynomial function?A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.
The highest power to a variable is the degree of the polynomial expression.
When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
How do we solve the given question?We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.
We are asked how long it takes for the soccer ball to return to the ground.
To calculate the time for the ball to return to the ground, we take height y = 0.
Our equation therefore is,
0 = -16t² + 64t
or, 16t² - 64t = 0
or, t² - 4t = 0
or, t(t-4) = 0
∴ Either, t = 0; Or, t-4 = 0 ⇒ t = 4.
∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.
∴ The ball takes 4 seconds to return to the ground.
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Triangle JKL is similar to triangle MNO. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
O
11
K
15
M
58.8
Answer:
43.1
Step-by-step explanation:
Similar shapes have sides of the same proportions. This means that one shape is just an enlargement of the other.
In this case, triangle MNO is an enlargement of triangle JKL so we can work out a scale factor.
To work out the scale factor, we can do 58.8 ÷ 15 = 3.92. To find side NO, all we have to do is multiply 11 by 3.92 to get 43.12 ≈ 43.1 (rounded to the nearest tenth).
Hope this helps!
Write m2 - 20m + 72 = -3 in vertex form.
Answer:
yes I am telling you about the India is so much of drugs that this is because I 6
Step-by-step explanation:
just see attached answer
There are 8/5 polka dots many are there?
Answer:
1 3/5
Step-by-step explanation:
this is a mixed number
8/5= 1 3/5