Answer:
y=2/5x
Step-by-step explanation:
The equation of the line containing the points (5,2), (10,4), and
(15, 6) are,
⇒ y = 2/5x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (5, 2) and (10, 4).
Now,
Since, The equation of line passes through the points (5, 2) and (10, 4).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 2) / (10 - 5)
m = 2 / 5
Thus, The equation of line with slope 2/5 is,
⇒ y - 2 = 2/5 (x - 5)
⇒ y - 2 = 2/5x - 2
⇒ y = 2/5x
Therefore, the equation of the line containing the points (5,2), (10,4), and
(15, 6) are,
⇒ y = 2/5x
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A random number generator is set to produce integers from 1 to 10.
About how often would you expect to get an even number in 300 trials?
You would expect to get an even number about
times.
Answer:
you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.
Step-by-step explanation:
there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150
Write an integer to show 300 feet above sea level
Answer:
[tex]300[/tex] or [tex]+300[/tex]
Step-by-step explanation:
Given
300 feet above sea level
Required
Represent as an integer
Sea level implies 0 ft.
So, when a distance (300) is above the sea level, it means that the position is:
[tex]Position = 0 + 300[/tex]
[tex]Position = 300[/tex]
Hence, the position is 300 or +300
Factor the polynomial as much as possible 25x^4-16y^14
Answer:
(4y7+5x2)(−4y7+5x2)
Step-by-step explanation:
find c and round. (geometry)
Answer:
4.24483 or 4.2
Step-by-step explanation:
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation:
Express 250 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
2 x 5 x 5 x 5
= 2 x [tex]5^{3}[/tex]
maybe they want the answer in index notation
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.
Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]
= [tex]\frac{3700-3200}{140-120}[/tex]
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
help pls I don’t get this
Answer:
x=136 degrees
Step-by-step explanation:
ok so basically the angles are the same because the line intersects both lines at the same degree.
Answer:
136°
Step-by-step explanation:
Since both line are equal in length and size and both straight then if on side is 136° then the other side must be 136°
An arithmetic sequence is described by the function f(n) = -3n + 7.
Determine the first five terms of this sequence
Answer:
the first five terms are: 4, 1, -2, -5, -8
Step-by-step explanation:
To find the first five terms, you simply input the numbers (1-5) into the equation.
[tex]-3(1)+7=4[/tex]
[tex]-3(2)+7= 1[/tex]
[tex]-3(3)+7=-2[/tex]
[tex]-3(4)+7=-5[/tex]
[tex]-3(5)+7=-8[/tex]
plz mark me brainliest. :)
18. Jackie drives 160 miles from Gary, Indiana to
Indianapolis, Indiana in 4.5 hours. At that rate,
how long would it take her to drive from Gary to
Detroit, Michigan, which is a distance of 240
miles?
Answer:
11 hours and 15 minutes (11.25)
Step-by-step explanation:
make a ratio
160:4.5
240/160=1.5
so 1 and 1/2 intervals of 4.5 hours
4.5+4.5= 9
4.5/2=2.25
9+2.25=11.25
The solution is 3.75 hours
The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the equation be represented as A
Now , the value of A is
Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours
Distance = 160 miles
Time = 2.5 hours
So , the speed = distance / time
Substituting the values in the equation , we get
Speed = 160 / 2.5
Speed = 64 miles / hour
Now , the new distance = 240 miles
So , the Time required = Distance / Speed
Substituting the values in the equation , we get
Time required A = 240 / 64
Time required A = 3.75 hours
Therefore , the value of A is 3.75 hours
Hence , the time taken with a speed of 64 mph is 3.75 hours
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2x + 8y=30 y=2 solve for x
Answer:
23
Step-by-step explanation:
2x+ 8(2)= 30
2x+ 16=30
2x=14
x=7
If y = 2x + 1, what is y when x = 3?
Answer:
x=3
y=2x+1
y=2(3)+1
y=6+1
y=7
Answer:
7
Step-by-step explanation:
y=2x+1 x=3
y=2(3)+1
y=6+1
y=7
Imagine that you are representing your classmates. What are their needs? What would you advocate for their behalf? Not math related
Answer:
As a former runner upper Senior Class Secretary I can say that your classmates need the following:
1. To be respected, even when others may not respect them.
2. They need a leader who can listen to what they have to say and DO SOMETHING about it.
3. They need the feeling of commitment when given the oppurtunity to improve.
4. They need rules, guidlines and restrictions.
(I would advocate that we have a strong leader....Is it going to be you?)
What is the length of the line segment below?
(107)
(3.1
Sam bought a Blu-ray disc for $20.00 plus sales tax of 8%.
What was the amount of tax paid?
Answer:
21.60
Step-by-step explanation:
Answer: Sales Tax Together is $21.60 the sales tax alone is $1.60
Step-by-step explanation:
Find the value of x for which is r II s. Then find m<1 and m<2
•m<1 =(75-2x)
•m<2=(89-3x)
Answer:
1) 14
2) m<1=47°
3) m<2=47°
Step-by-step explanation:
1) 75-2x=89-3x
-2x+3x=89-75
x=14
2) m<1=75-2x
75-2(14)
75-28
47
3) m<2=89-3x
89-3(14)
89-42
47
Factor completely.
x^8 - 1/81
Please show a step-by-step/explanation on how you got your answer.
Answer: x(8) - /81
Step-by-step explanation:
Answer:
Step-by-step explanation:
As before any expression of the form (a^2-b^2) will always factor to (a-b)(a+b) in this case
x^8-1/81 = (x^4-1/9)(x^4+1/9) = (x^2-1/3)(x^2+1/3)(x^4+1/9) and if we completely factor it including square roots.[tex](x-\sqrt{1/3})(x+\sqrt{1/3})(x^2+1/3)(x^4+1/9)[/tex]
what is 2x + 5 (y-1) when x=8 and y=5
Step-by-step explanation:
2x + 5 (y-1)
16+20
=36
hope it helps you
What is the distance between the points (-2, 1) and(1,3) ?Round your answer to the nearest tenth
To answer this question we're going to need to use the distance formula, which is
d = √((x2 - x1)2 + (y2 - y1)2)
We are given two points:
(x1, y1) = (-2, 1)
(x2, y2) = (-5, 3)
d = √((-5 - (-2))2 + (3 - 1)2)
= √((-3)2 + (2)2)
= √(9 + 4)
= √(13)
≈ 3.6056
Since it says to round to the nearest tenth, the distance between the 2 points is
3.6 units
d=3.6
Write equivalent fraction with the given denominator.
Answer:
20/10
Step-by-step explanation:
2x10=20
Answer:
2 = 20/10
Step-by-step explanation:
The problem wants you to write a fraction that is equalavent to 2, but that has 10 as the denominator. I chose 20, because 2 x 10 = 20.
Help ASAP! please and thank you have a great and blessed day!
Answer:
1.b
2.a
3.c
4.d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mikoto graphed (shown below) the relationship between the temperature (in °C) and her cat's change in
weight (in g) over the last 10 days.
What is the meaning of point A?
Answer:
Point a tells us at 9 degrees Celsius mikoto cat lost 2 g
Step-by-step explanation:
Thank you hope this helps❤
Answer: A
Step-by-step explanation: I got it right on khan Academy
whats the figurative language in scars to your beautiful explain
YOU WILL GET BRAINLIEST
Answer:
Scars to Your Beautiful Analysis
Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".
Step-by-step explanation:
is this it?
what is 66.6% recurring as a fraction?
Answer:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is
1
number to the right of the decimal point, place the decimal number over
10
1
(
10
)
. Next, add the whole number to the left of the decimal.
66
6
10
Reduce the fractional part of the mixed number.
66
3
5
Convert
66
3
5
to an improper fraction.
333
5
Step-by-step explanation:
Consider the function f(x)=(x^4)/4. Find f'(x).
Answer:
f'(x)=x^3
Step-by-step explanation:
f'(x)=1/4(4x^3)
=x^3
Jose and his family went to dinner at olive garden the total bill was $55.31 Jose decided to leave a 15% tip how much of a tip did the waiter receive
Answer:
The answer would be that waiter will get $8.29.
Step-by-step explanation:
You would do 55.31 multiplyed by 0.15 to get the answer.
Please help me solve |3b+9| -16 = -52
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
In 2010, the population of a city was 224,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
people 2010:
224,000
people in 2015:
224,000(1+0.06) =237,440
people in 2020
237440(1-0.04) =227,942
The population increased between 2010 and 2015, with 4000 being the nearest 100 persons.
What is the percentage?
percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given, In 2010, the population of the city was 224,000. From 2010 to 2015, the population grew by 6%. hence,
Population by 2015 = 224,000 * (1.06) = 2,37,440
Also given, From 2015 to 2020, it fell by 4%. Hence,
Population by 2020 = 237,440 * 0.96 = 227942
Thus, the population difference between 2010 and 2020 = 227942 - 224,000
the population difference between 2010 and 2020 = 3942
Therefore, the population growth from 2010 to 2015, to the nearest 100 people is 4000.
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A small pouch contains 8 black marbles, 5 white marbles and 12 red marbles. What is the parabolic of not drawing a red
A) 36%
B) 48%
C) 52%
D) 71%
PLEASE HELP GIVE BRAINLY
Ignore the bottom but can someone help me and give me the right answer please also put how you got the answer so show your work please!!!!
Answer:
4x-15
Step-by-step explanation:
5(x-3)-x
first we want to distribute 5 to x and -3
5xx=5x 5x-3=-15
now we have
5x-15 - x
then we just have to combine like terms and the only alike terms are 5x and -x
5x-x=4x
so the answer is 4x-15
Answer:
5x-15-x
4x-15is your answer