Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
find the value of
tan 45º . tan- 30° tan 60°
Answer:
Find the exact value of tan 45º = 1/1 = 1.
Find the exact value of cos 30º = √3/2.
Find the exact value of csc 60º = 2√(3)/3
Step-by-step explanation:
math
How many 1/ 3 pound hamburger patties can be made from 4 pounds of ground beef?
Answer:4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Each pound is equal to 3 of the 1/3 pound patties
multiply 3 by 4 and you get 12.
a circle has a diameter of 7.6 feet
find the measure of the angle indicated with a?, and enter the number only
9514 1404 393
Answer:
45°
Step-by-step explanation:
Arc YZ is the difference between the given arcs and 360°:
126° +144° +YZ = 360°
YZ = 360° -270° = 90°
The inscribed angle (?) is half the measure of the arc it intercepts:
? = 90°/2
? = 45°
given H(x)=4(x+3), which of the following is the value of H(-2)?
Answer:
H(-2)=4
Step-by-step explanation:
H(x)=4(x+3)
Let x =-2
H(-2)=4(-2+3)
=4(1)
= 4
50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation:
Wich statement best explains the relationship between the numbers divisible by 6, 2, and 3? what's the answer?
Answer:
oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.
Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars
Debra tutors history. For each hour that she tutors, she earns 50 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H . Then use this equation to find Debra's earnings after tutoring for 19 hours.
2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1
Answer:c
Step-by-step explanation:
- 5/6e (the fraction) - 2/3e (the fraction)=-24
Answer:
I believe this is the correct answer. e = 16
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12
Answer:
y = 1.5x
Step-by-step explanation:
An equation that represents a proportional relationship can be written as y = kx.
Where,
k = constant of proportionality or unit rate = y/x
Using a pair form the table of values, say (-2, -3),
k = y/x = -3/-2 = ³/2 = 1.5
Substitute k = 1.5 into y = mx
The equation that represents the table would be:
y = 1.5x
The proportionality constant is 2/3 and the required equation is y = 2/3x
Tables and valuesThe standard equation of a line is expressed as y = mx + b
where:
m is the slope of the line
b is the intercept
From the given question, we are to find the rate of change (slope) from the give table.
USing the coordinate points from the table (-2, 0) and (-3, 0)
Also recall that;
y = kx
-2 = k(-3)
k = 2/3
Hence the proportionality constant is 2/3 and the required equation is y = 2/3x
Learn more on rate of change here: https://brainly.com/question/8728504
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!
Answer:
line X
Step-by-step explanation:
LESSON 7 DEVELOP
MODEL IT: PLACE-VALUE CHARTS
Use place-value charts to show multiplying and dividing by powers of 10.
3 Complete each row with the product shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
.
0
0
0
5
.
0.005 X 10'
0.005 X 102
0.005 X 10
4 Complete each row with the quotient shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
DIS
5
0
.
0
0
5 + 10
How
digits
the do
when
5 - 102
any d
5 - 10
I thin
What is the slope of the line that passes through
the points (-8, 2) and (-8, -4)?
Answer:
The slope is undefined
Step-by-step explanation:
as - 4-2/-8-(-8)
Is - 6/0
what is the value of x?
Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).
Step-by-step explanation: Hope This Helps :)
For a example, the value 12 is the X coordinate. And Also called Abscissa.
Find the difference write the answer in simplest form 11/18 -1/6
Answer:
4/9
or
0.4
Step-by-step explanation:
Tyler mows 7 lawns every week. He earns $10 for mowing each lawn. How much will he earn in 6 weeks?
Answer:
The Answer Would Be $420
Step-by-step explanation:
time 7 by 10 and get 70,
times 70 by 6 to get your final answer of $420
Please help with this
Answer:
Alternate interior angles or
Congruent
Step-by-step explanation:
Angle 3 and angle 6 are alternate interior angles
Alternate interior angles are congruent
An isosceles triangle has two sides of length n where n is an integer greater than 1. What is the smallest possible integer length of the third side?(1 point)
⌊n/2⌋+1
n−1
1
0
Answer:
1
Step-by-step explanation:
The answer is 1 because of the triangle inequality theorem. In order for the shape to be a triangle, two of the sides need to be smaller than one. The two sides we know of is n, n is equal to an integer greater than 1. So, in order for the triangle to be a triangle, the third side has to be at least 1. I also had the same question on my assignment.
Can somebody help me with my math I’ll give u brainlest
Answer:
yess!!
Step-by-step explanation:
''-''
Answer:
where are questions
Step-by-step explanation:
Question 16 please help me
What is (x-2)-(x-5)? Plz I will mark u brainliest.
Answer: 3
This is the simplified way
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
Alexandra’s soccer team played 25 games and won 22 of
them. What percent did the team win?
Answer:
88%
Step-by-step explanation:
25*4=100. this means we have to multiply 22*4, which gets us 88%
Answer:
0.88%
Step-by-step explanation:
25 divided by 22
Abigail took a science test and got 36 correct and 4 incorrect answers. What was the percentage of correct answers?
Answer: 88.89
Step-by-step explanation: You put the correct answers over the number of answers in total 32/36 then you divide: Multiply the denominator (bottom) of the fraction by a number to make the denominator equal 100.
Multiply the numerator (top) of the fraction by the same number.
Answer:
90%
Step-by-step explanation:
First you have to find out what is the total amount of questions so 36+4=40
Anyway the answer is 90
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x