Given:
A train is traveling at a constant speed in miles per hour.
The table of value is:
Hours (x) Miles (y)
1 20
2 100
3 180
4 260
5 340
To find:
The equation for the given data table.
Solution:
It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.
Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]
[tex]y-20=\dfrac{80}{1}(x-1)[/tex]
[tex]y-20=80(x-1)[/tex]
Add 20 on both sides.
[tex]y=80(x-1)+20[/tex]
[tex]y=80x-80+20[/tex]
[tex]y=80x-60[/tex]
Therefore, the correct option is D.
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.
will give brainliest! question in pic! help asapp!
Answer: D
Step-by-step explanation:
Answer:
[tex]6x^{2}+10x-12[/tex]
Step-by-step explanation:
Brainliest for the correct answers
Answer:
a) 3a + 8b = 93
Hope this helps!
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
Micki bought 4 gallons of apple cider. How many quarts did she buy?
Answer:
16
Step-by-step explanation:
There are four quarts in a gallon. 4x4=16.
Answer:
4 quarts per gallon
4 quarts times 4 gallons= 16 quarts
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
What does S in Math means?
Step-by-step explanation:
subtract
i think this
I’ll really appreciate it if you help me out with this one .
Answer:
Linear Function
Step-by-step explanation:
Every time x goes down by 2 y drops by 4. This represents a pattern and has a definitive slope. (It has a constant rate of change.)
Graph the equation y = 4x − 5 using slope and y−intercept.
on a graph
what is 1257÷45 I really need help
Exact Form:
419/15
Decimal Form:
27.93...
Mixed Number Form:
27 14/15
Hope this helps(:
find the area of the composite figure 12 yd height 10 yd base
Answer:
120 yd^2
Step-by-step explanation:
1. 12x10= 120
2. 120 yd ^2
Please Help! Evaluate this expression 10.82-9.99
A. 0.53
B. 0.83
C. 1.01
D. 1.23
Could 85, 13 and 84 be the side length of a right triangle?
Answer:
No because the side lengths won't equal the hypotenuse
Step-by-step explanation:
85^2 + 13^2 ≠ 84^2
In Holborn School there are
460 students in Key Stage 3
320 students in Key Stage 4
165 students in Key Stage 5
Nimer is carrying out a survey.
He needs a sample of 100 students stratified by Key Stage.
Work out the number of students from Key Stage 3 there should be in the sample.
(2 marks)
students
Submit Answer
Skip for Now
Answer:
Total students = 460+320+165=945
Key stage 3 ... asafraction = 460 divide by 945
the number in a sample of 100 = 460 divide by 945 x 100= 48.67
So 48 or 49 (are both, acceptable answers).
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
Pls help me I need this done . Look at picture . What is the measure of..
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
help with my khan academy assignment please
1
Identify the shape and find the area. (Round your answer to the tenths place if needed)
10
Shape
Perimeter = 17
Apothem = 4.2
Area =
NEXT
Answer:
Pentagon and I think the area is 19.89 so if you round it, that will be 19.9
what problem can be solved using 3/5 divided by 5/8
Answer: 24/25
Step-by-step explanation:
= 3/5 ÷ 5/8
= 3/5 × 8/5
= 24/25
Help please! I know this is easy but I don’t know what to do!
Answer:
b
Step-by-step explanation:
100 points! Please help! If the total perimeter of the triangle is 5x 3+ 4x 2− x – 3, what is the length of the third side of the triangle? (This will require subtraction) Please show steps
Answer:
What is the length of the third side of the triangle? The Answer Is -9
Step-by-step explanation:
Always use your calculator and type in your equation " 5 x 3 + 4x 2− x – 3" i think this helped but i have no idea good luck though
30% of what number is 7.5??
Answer:
x = 25
Step-by-step explanation:
the question can be given as x * .3 = 7.5, or rearanged into
7.5/0.3 = x
75/3 = x if you multiple the fraction by 10/10
x = 25 in this case
A bag contains 3 white balls, 4 green balls, and 5 red balls. A ball is drawn at random. How many total number of outcomes are there?
Answer:
12
Step-by-step explanation:
5+4+3 = 12
Answer:
12 is the total outcome.......
Step-by-step explanation:
3+4+5=12 is the ans.....
hope this will help u.....
The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.
Answer:
3x+4x+5x=36
12x=36
x=36/12
x=3
3x=3 into 3=9
4x=4 into 3=12
5x=5 into 3=15
Please help fast! will mark brainliest and give a lot of points
put the following expressions into words-no solving.
3/4x(6+4)
1/2x(5-3 1/2)
Put the following into expressions-no solving
One-third the sum of 6 and 3
Four times the quotient of 3 and 4
One fourth the difference between 3 1/2 and 1/2
Answer:
Please help fast! will mark brainliest and give a lot of points
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an arc of 270°, what is the area covered by the beam?
Answer:
Area covered by beam = 530 mi² (Approx.)
Step-by-step explanation:
Given:
Radius = 15 mi
Arc angle = 270°
Find:
Area covered by beam
Computation:
Area of sector = [θ/360][π][r²]
Area covered by beam = [270/360][22/7][15²]
Area covered by beam = [0.75][3.1428][225]
Area covered by beam = 530 mi² (Approx.)
Please help me ASAAAPPPP I need help rn !
Answer:
1099 in.²
Step-by-step explanation:
2πr²+2πrh
2×3.14×5×5+2×3.14×5×30
157+942
1099 in.²
Answer:
1099 in. ²
Step-by-step explanation:
because of how its measured