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.
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)
positive correlation.
negative correlation.
none of these.
no correlation.
Combine the like terms to create an equivalent expression. \large{5t+10-4-t}5t+10−4−t5, t, plus, 10, minus, 4, minus, t
Answer:
2(2t+3)
Step-by-step explanation:
Given the expression;
5t + 10 - 4 - t
Combining the like tems;
5t - t + 10 - 4
= (5t-t) + (10-4)
= 4t + 6
Factor out 2
= 2(2t+3)
This gives the required expression
Answer:
4t+6
Step-by-step explanation:
Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8
Answer:
Option: A
Step-by-step explanation:
Hope it helps you!
Which functions are symmetric about the y-axis? Check all of the boxes that apply. On a coordinate plane, a cosine curve has a maximum of 1 and minimum of negative 1. On a coordinate plane, a parabola opens to the right with a vertex at (0, 0) On a coordinate plane, a parabola opens up.
Answer:
1st box
3rd choice
Step-by-step explanation:
Those are the only choices that are symmetric about the y-axis
The 2nd choice isn't because it doesn't reflect over the y-axis
A graph is a way to represent a lot of data in a visual format. The functions that are symmetric about the y-axis are graphs 1 and graph 3.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The y-axis is the vertical axis of the graph, therefore, the functions that are symmetric about the y-axis are the graph of function 1 and the graph of function 3.
Hence, the functions that are symmetric about the y-axis are graphs 1 and graph 3.
Learn more about Graph:
https://brainly.com/question/14375099
#SPJ2
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
b) John returns from holiday with these notes.
Note
Number
of notes
The exchange rate is £1 = $1.29.
$50
5
Work out how much he will get in total
when he changes these notes.
$20
2
$10
7
$5
3
14)
Sub Answer
acer
Answer:
£290.70
Step-by-step explanation:
Number of notes of $50 = 5
Total value = 50 × 5 = $250
Number of notes of $20 = 2
Total value = 20 × 2 = $40
Number of notes of $10 = 7
Total value = 10 × 7 = $70
Number of notes of $5 = 3
Total value = 5 × 3 = $15
Total value of all notes with John = 250 + 40 + 70 + 15
= $375
Since, $1.29 = £1
Therefore, $1 = £[tex]\frac{1}{1.29}[/tex]
Therefore, $375 = £ [tex]\frac{375}{1.29}[/tex]
= £290.70
Elyssa bought a rectangular aquarium . The measurements , in feet (ft) , are shown below. How much water will it take to fill the aquarium?
Answer: The answer is 34 13/20.
Step-by-step explanation:
I did it and was correct for me! Hope it helps ❤️
Answer:
34 13/20
Step-by-step explanation:
The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?
Answer:
180cm^3
Step-by-step explanation:
Given data
Height b=15 cm
Base a= 6cm
The expression for the volume of a pyramid is
V=a^2h/3
Substitute
V= 6^2*15/3
V= 36*5
V=180cm^3
Hence the volume is 180cm^3
No need for an explanation it is option
Answer:
II) 78
Step-by-step explanation:
2x - 6 + 7x + 15 = 90
9x + 9 = 90
9x = 81
x = 9
<ABC:
7x + 15
7(9) + 15
78
Answer and Step-by-step explanation:
To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.
2x - 6 + 7x + 15 = 90
Combine like terms.
9x + 9 = 90
Subtract 9 from both sides.
9x = 81
Divide both sides by 9.
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(9) + 15
Multiply 7 and 9 together.
63 + 15
Add 63 and 15 together.
78
The measure of ABC is 78.
That means the answer is II) 78.
#teamtrees #PAW (Plant And Water)
A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?
Answer: 44 matches
Step-by-step explanation:
Let's take the given information
They won 37 matches
1/9th of their matches resulted in a draw
1/9 out of 90 is 9
You can take 90/9 and you will get 9
Now let us add 37+9 and you get 47
Now take 90-47
44 Matches lost
22/45 or 44/90
A bag contains 8 red, 6 green, and 3 blue popsicles. John is going to draw out a popsicle without looking in the bag.
What is the probability that he will draw either a green or a blue popsicle?
Answer:
52.94117647 %
Step-by-step explanation:
there is 17
6 + 3 = 9
9/17 = .5294117647
The system of equations n=2p+3 and n=5p is graphed.what is the solution to the system of equations
Answer:
n=7 and p=2
Step-by-step explanation:
Graph is not given,
we have n=2p+3 and n=5+p
that's 2p+3=5+p
P=5 - 3
P=2
so the solution is n=7 and p=2
Answer:
(2,7)
Step-by-step explanation:
someone help me pls ♀️
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 7 anchors and 2 floats
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
PLZ HELP!!!! solve for x
Answer:
64 degrees
Step-by-step explanation:
Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees
so first, combine 90 and 26 degrees
90+26= 116
then subtract 116 from 180
180-116= 64 degrees
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
Answer:
3
Step-by-step explanation:
[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]
What is the sum of the first 10 terms of the sequence 2, 6, 18,54...?
Answer:
This is a sequence where you multiply that number 3 times. For example, 2 x 3 = 6. 6 x 3 = 18. 18 x 3 = 54 and so on. Therefore, multiplying 3 by the number is the Answer.
help with this question please
Answer:
A; x< 5
Step-by-step explanation:
A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.
Need help fast for 1 2 3 and 4 for please and thank you
The formula for the area of a circle is [tex]\pi r^2[/tex]
So if we have the first one...[tex]3.14*5^{2}[/tex]≈78.5
Now you can solve the other ones with this formula! Good luck!
x²-x-2=(x-2)
its quadratic equation
please guys help meee
i dont know how to solve it
Answer:
x= (2,0)
hope it helps!!
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?
Answer:
.12%
Step-by-step explanation
2.61-2.49= 0.12
.12%
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
Find the value of x. Write your answer in simplest form.
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
Problem
3. The diagram shows the distance a tortoise can
walk if it walks at a constant pace for 15
minutes. At the same rate, how many
kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Minutes H
0
15
Meters
+
400
0
Explanation is in the file
tinyurl.com/wpazsebu
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answer:
Its - 2..................
I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y
Answer:
B,F, C
Step-by-step explanation:
I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
