Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
Learn more about Linear Functions here:
https://brainly.com/question/20286983
#SPJ2
Complete question:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0
aleena bought 15 kg of fruits she brought 3kg 750 g of apples 4kg 250g of mangoes and rest were oranges find the weight of oranges
pls urgent will surely mark u the brainliast
Answer:
8.950 kg
Step-by-step explanation:
Lemme know if incorrect
Write the number in scientific notation. 10700000
Answer: [tex]107^{5}[/tex]
There are 5 zeros left of the seven (7).
So, 5 is the exponent/base number.
Add a 5 as a base/exponent.
107[tex]5[/tex] should now be the answer.
Hope this answer helps you!
Answer:
1.07 × 10^7
Step-by-step explanation:
Hope This Helps!
Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6
Answer: -6 You answered your own question-
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Anyone Need Help Urgent
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
a)To find how much it can hold.
b)Number of cement bags required to plaster it
c)To find the number of smaller tanks that can be filled with water from it ? .....I will mark as BRAINLIEST.... Thank you!
Answer:
c
Step-by-step explanation:
1. How much carpeting is needed in a room that measures 11 feet by 12 feet?
132 feet²
For this question, you have to find area.
Area is length x width
so multiply 11 x 12
You will get 132 feet²
What’s the highest common multiple?
Answer:
HCF = 90
Step-by-Step explanation:
2 × 3⁴× 5 = 810
2³× 3²× 5²= 1800
Find the prime factorization of 810
810 = 2 × 3 × 3 × 3 × 3 × 5
Find the prime factorization of 1800
1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5
To find the HCF, multiply all the prime factors common to both numbers:
Therefore, HCF = 2 × 3 × 3 × 5
HCF = 90
What value of x will make the triangles similar by the SSS similarity theorem?
x =
Answer: 28 is correct!!
Step-by-step explanation:
Answer:
The answer is x=28.
Step-by-step explanation:
I hope this helps.
HELP ME PLEASE ITS GEOMETRY PLEADE HELP
Answer:
Step-by-step explanation:
Let the complement = x
Let the angle = 5*x
x + 5x = 90
6x = 90
x = 90/6
x = 15
So the complement = 15
The angle itself is 5*15 = 75
The distance from Mason's house to Kevin's house is about 5 × 105 inches. The distance from Mason's house to Chloe's house is about 8 × 107 inches. The distance from Mason's house to Chloe's house is how many times as great as the distance from Mason's to Kevin's house?
Answer:
Distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
Step-by-step explanation:
Let the distance from Mason's house to Chloe's house is x times as great as the distance from Mason's to Kevin's house.
Distance from Mason's house to Kevin's house= [tex]5 \times 10^5[/tex] inches.
Distance from Mason's house to Chloe's house =[tex]8 \times 10^7[/tex] inches
ATQ
[tex]8 \times 10^7= x \times 5 \times 10^5 \\\frac{8 \times 10^7}{5 \times 10^5}=x\\160=x[/tex]
So, distance from Mason's house to Chloe's house is 160 times as great as the distance from Mason's to Kevin's house.
Hence distance from Mason's house to Chloe's house is 160 as great as the distance from Mason's to Kevin's house.
On a map of Texas, one inch represents 75 miles. The distance between
San Antonio and Houston is 2.7 inches on the map. What is the distance
from San Antonio to Houston according to the map?
A 175 miles
B. 202.5 miles
C. 225.5 miles
D. 270 miles
Answer: B. 202.5 miles
Step-by-step explanation:
Multiply the scale ratio by the number of inches given on the map.
2.7 × 1 inch and 2.7 × 75 miles 2.7×75=202.5
2.7 inches represents 202.5 miles
y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.
y-6 =4 (1-4)
y-6=-12
y=-6
Answer:y= -6
1500 divided by 3500 would be?
Answer:
0.42857142857
Step-by-step explanation:
correct me if im wrong
A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item
Answer:
The cost of a can of popcorn is $10.
The cost of a box of cookies is $5.
The cost of a can of popcorn is $20
Step-by-step explanation:
First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.
Defining the variables:
x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcornAmy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:
2*x + 3*y + 1*z=65 Equation 1
Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:
4*x + 6*y + 3*z=140 Equation 2
Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:
8*x + 8*y + 5*z=250 Equation 3
Then the system of equations is formed by these three equations.
A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.
Isolating z from Equation 1:
[tex]z=65-2*x-3*y[/tex] Equation 4
Replacing in Equation 2:
4*x + 6*y + 3*(65 -2*x-3*y)=140
4*x + 6*y + 195 - 6*x - 9*y= 140
-2*x - 3*y=140-195
-2*x - 3*y=-55
2*x + 3*y= 55
and isolating x:
[tex]x=\frac{55-3*y}{2}[/tex] Equation 5
Replacing in Equation 4:
[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]
z=65 - (55-3*y) - 3*y
z= 65 -55 + 3*y - 3*y
z= 10
So the cost of a can of popcorn is $10.
Replacing equation 5 and the value of z in equation 3:
8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250
[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250
4*(55 -3*y)+ 8*y + 5*10=250
4*55 - 4*3*y + 8*y + 50=250
220 - 12*y + 8*y + 50=250
-12*y + 8*y= 250 -220 - 50
-4*y= -20
[tex]y=\frac{-20}{-4}[/tex]
y= 5
So the cost of a box of cookies is $5.
Finally replacing the value of y in Equation 5 you get the value of x:
[tex]x=\frac{55-3*5}{2}[/tex]
[tex]x=\frac{55-15}{2}[/tex]
[tex]x=\frac{40}{2}[/tex]
x=20
Finally, the cost of a can of popcorn is $20
Nedd help for this one
Answer:
20, -7, -14, 10, -5, 8
20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)
38 + (-26) - add like terms
12
12/6 -divide sum by number of values
2 - answer
hopes this helps
Step-by-step explanation:
I really need your help please help
Answer:
A and D
Step-by-step explanation:
If you simplify for A it is 8x +8
If you simplify for D it is 8x+8
Answer:
A & D
Step-by-step explanation:
Simplify all of them and then see which one has the same answer and those two are the answers
Angles R and S are complementary. The measure of angle R equals 35 degrees.
What is the measure of angle S ?
Answer:
55 degrees
Step-by-step explanation:
I hope this helps, all you need to do is subtract 90 from 35 and your answer is S in which 55 degrees.
Answer: 55°
Step-by-step explanation:
complementary means the angles make up an angle of 90°, therefore to find the missing angle you do, 90-35 which equals 55
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in the amount in his checking account.
Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$
Answer: He would have $100 in his bank account from the information provided .
The quadratic function that approximates the height of a javelin throw is h(t) = -0.08t2 +4.48, where t is the time in seconds after it is thrown and h is the javelin's height in feet. How long will it take for the javelin to hit the ground?
What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}
Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
ice cream store marks up price by 16% how much of original price was 1.25
Answer:
0.128
Step-by-step explanation:
Unit 2 Review
1. Natalie drove to her parents' house which is 252 miles away. It took her 4.5 hours. What was her
unit rate of speed?
A. 62 miles per hour
B. 58 miles per hour
C. 56 miles per hour
D. 55 miles per hour
Solve the equation 5x+9=4.
Answer: x=−1
Step-by-step explanation: hope this helps!
03.02) If g(x) = x2 + 2, find g(3). (2 points) 9 8 11 6 4. (03.02) If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) 32 12 14 10 5. (03.02) Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points) c(x) = 1.50 + 1.25x c(x) = 1.50x + 1.25 c(x) = 2.75 c(x) = (1.50 + 1.25)x 6. (03.02) Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points) This is the average number of days the house stayed on the market before being sold for $150,000. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold. The house sold for $150,000. The house stayed on the market for an average of 150 days before being sold.
Answer:
slipknot is the answer to all your problems
Step-by-step explanation:
there is no explanation
-2x +4=8x-6 equations/inequalities
Answer:
x = 1
Step-by-step explanation:
Given
- 2x + 4 = 8x - 6 ( subtract 8x from both sides )
- 10x + 4 = - 6 ( subtract 4 from both sides )
- 10x = - 10 ( divide both sides by - 10 )
x = 1
Which of the following ordered pairs are y-intercepts? Check all that apply
(4,0)
(-1, 1)
(0,0)
(0,-7)
(-2,-2)
(0,-0.25)
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.
Answer:
here's the answer
Step-by-step explanation:
What is the slope of the line? (SOMEONE PLEASE HELP
Answer:
3/4
Step-by-step explanation:
Can Yu Mark Brainliest Plz
(6x + 9) - (4x + 6) I need help
6x+9-4x-6
2x+3
assuming you simplify, hope this helps!