The equation is y = 15x + 90. The initial value is 90. Rate of change is: 15.
To host a party at a local restaurant, you must pay $90 to rent it and $15 per guest.
How to Write a Linear Equation?To write a linear equation that models a situation in slope-intercept form, y = mx + b, find the following:
Initial value/y-intercept (b), which is the value of y when x = 0.Rate of change / slope (m), which is the ratio of change in y / change in x.Given the table above, the value of y when x = 0 is 90. This means the initial value (b) = 90.
Using two pairs of values from the table, (0, 90) and (6, 180):
Rate of change (m) = (180 - 90) / (6 - 0) = 15
Substitute m = 15 and b = 90 into y = mx + b, to write the equation:
y = 15x + 90.
The graph of y = 15x + 90 is shown below.
The complete table is:
x | y
0 90
3 135
6 180
9 225
12 270
Learn more about the linear equation on:
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A. Without using pencil and paper to actually find the products, how will the product of 3 x 10.6 compare to the product of 2.7 x 10.6? Explain your answer.
B. How will the product of 2.7 X 10.6 compare to the product of 3 X 10.6? Explain your answer.
how do i answer these i forgot all this-
Answer:
Step-by-step explanation:
in A , because we are multiplying a number by the same number in each case, 10.6 we know, that the 3 as compared to the 2.7 , will make a bigger number 3*10.6 is greater than 2.7 * 10.6 , it's just a quick way to make sure our answer is good
in B, as above, we know that 2.7*10.6 will be less than 3*10.6 see?
$? Kim spent 41/100
Answer:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Step-by-step explanation:
Answer:
$0.27
Step-by-step explanation:
In total, Kim has .68 cents to spend.
She spend .41 cents.
0.68-0.41=0.27
Therefore, Kim has a total of .27 cents left over.
Find the mean for the scores: 3.850; 5,300: 8,540; 4.300; 5,360.
Answer:5470
Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.
a) 2x – 7x +3y if x= 3, y= -4
b) y + 3xy if x= 7, y= 5
c) 5x3 + 2y2 if x= 2, y =3
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
C. Alternate Interior angles.
Step-by-step explanation:
Alternate interior angles are inside parallel lines, and on opposite sides of the transversal line that crosses the parallel lines.
It's not A, because corresponding angles are in the same position on parallel lines. Angles 2 & 6 are corresponding angles. It's not B, because the two are not next to each other, forming a straight line. 6&7 are straight angles, and 5&6 are straight angles.
Deena works at a customer service call center. She fields an average of 5 calls per hour. Employees are encouraged to field more
than 200 calls per week Deena has already fielded 75 calls this week.
How many more hours, x, does Deena need to work this week to reach the weekly goal of fielded calls if she continutes to field an
average of 5 calls per hour? Select the inequality that includes the fewest number of hours Deena can work this week and still
reach the weekly goal.
1. She needs to field 240 calls, but has already done 96. => 240-96=144
2. She fields six calls per hour, and how many hours will it take. This is a hint for division. 144/6=24
3. Therefore, x, where x is the minimum number of hours Deena will need to answer 144 more calls, is at least 144.
4. Answer: c. x>24
Please help As Soon As Possible
Answer:
12, sorry if I'm wrong
Step-by-step explanation:
hope it helps
Answer:
Both are correct
Step-by-step explanation:
Tan = Opposite / Adjacent
Tan A = 3/4....... therefore she is correct
Tan C = 4/3........therefore she is also correct
Please mark as brainliest for further answers :)
A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A
Answer:
50 square meters should be your answer
Step-by-step explanation:
The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)
if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]
let us break this down into two pieces:
4π = 12.5663706144
2[squared] = 4
Then when we multiply our answers:
12.5663706144 * 4 = 50.2654824576
since it says to round it to the nearest whole number, we can round this to 50
I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!
Please rate and heart if my answer helped you!!!!
C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)
Answer:
[tex]P(C\ or\ D) = 1[/tex]
Step-by-step explanation:
Given
[tex]P(C) = \frac{3}{7}[/tex]
[tex]P(D) = \frac{4}{7}[/tex]
Required
[tex]P(C\ or\ D)[/tex]
Since the events are mutually exclusive, then:
[tex]P(C\ or\ D) = P(C) + P(D)[/tex]
So, we have:
[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]
Take LCM
[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]
[tex]P(C\ or\ D) = \frac{7}{7}[/tex]
[tex]P(C\ or\ D) = 1[/tex]
A food truck at the fair had 24 pies to sell. Each pie was cut into pieces and each piece was cut into 1/8 of a pie. How many pieces of pie did the food truck have to sell?
Answer:
192
Step-by-step explanation:
Ben ate 3/8 of a pizza. The remaining fraction of the pizza is ____
Answer:
fnndmd
Step-by-step explanation:
cnbbzbznznzxjjdjdjdkkxkxnxndnxnxnxnnxnxjxjxnxkxkxkkxmxmzmzmzmxmxmbald mfmd
Find the slope and y-intercept from the following graph of a linear equation.
What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi
Answer:
2pi
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Step-by-step explanation:
how do you do stuff like 20 x 0.4?? i forgot
Answer: the answer is 8.0
Step-by-step explanation: what i do is 20*4 which is 80 and i just add the decimals back in hoped this helped :))
Find the exAct length of a line segment whose endpoints are (4,-5) and (6,-2).
Answer:
Square root of 13
Step-by-step explanation:
distance between two points = under root (x2-x1)^2 + (y2-y1)^2
here, (x1,y1)=(4,-5) & (x2,y2)=(6,-2)
Substitute values and finally you can get it..
If n12=1536
then n=
Hellllllllllllllppppp
Answer:
this should help you understand...
Step-by-step explanation:
plz help I will give the brainlist David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture frame?
Answer:
32
Step-by-step explanation:
Distributive property 3x(x - 1)
how do u do this?step by step
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
A 14
B 8
C 11
D 20
I'm pose to simplify it
The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
find y when x = 3.
Answer:
D=24
Step-by-step explanation:
y inversely as x
x=k/y
By cross multiplication
k=xy
k=12*6
k=72
finding y
72=3y
y=24
The value of y given the inverse proportional relationship between the variables is b24.
What is the inverse proportion?When two variables vary inversely, as one of the variable increases, the other variable decreases.
The equation that represents inverse proportion : x = k / y
where b = constant of proportionality
k = xy
k = 12 x 6 = 72
y = k / x
72 / 3 = 24
To learn more about inverse proportion, please check: https://brainly.com/question/27233899
I have the answer for this geometry question just how to I solve it. Quickest and correct and semi-long explanation gets brainliest and 100 points. HURRY PLEASE!!!
Answer:
75
Step-by-step explanation:
If the area of ABCD is equal to 45, then the perimeter of EFG is equal to x * 1.5 = 45. 45 / 1.5 = 30, so the perimeter of EFG is equal to 30. This means that each side is equal to 10.
The height of the equilateral triangle EFG creates two 30-60-90 triangles, each with a hypotenuse of 10 and a short side equal to 5. We know that the long side of the 30-60-90 triangle (here the height of EFG) is equal to √3 times the short side, or 5√3.
We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3.
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)
Answer:
C.
Step-by-step explanation:
Frosted:
6*6*6+10*10*6
This equals 816
Not frosted:
6*6+10*10
This equals 136
Subtract
816-136= 680 sq inches
$1400 is placed in account with an animal interest-rate of 7.25% to the nearest 10th of a year how long will it take for the account value to reach 4600$
Decide whether the integral is improper.
[infinity]
â« ln(x3) dx
0
Answer:
Yes, It is improper.
Step-by-step explanation:
Your answer is correct. The limits of integration are finite. The integrand is not continuous on [1, ∞). At least one of the limits of integration is not finite. The integrand is continuous on [1, ∞).
A carnival game involves drawing a card from a deck of 40 cards, replacing it, shuffling the deck, and drawing another
card. Thirty of the cards are blank and ten are labeled 8 tokens. Your prize is the sum of the cards you draw. What is the
expected payoff for this game?
4 tokens
2 tokens
8 tokens
O tokens
Answer:
4 tokens.
Step-by-step explanation:
The expected value of a given event is calculated as:
EV = (x₁*p₁ + x₂*p2 + ... + xₙ*pₙ)
Where xₙ is the n-th outcome, and pₙ is its probability.
In this case, our experiment is:
You draw two times.
We have 30 cards with no prize
We have 10 cards with a prize.
A total of 40 cards.
As we draw two times (and the first time we draw a card we put it back in the deck) we can consider the events as independent, so we can find the expected value per draw.
Now we can define:
x₁ = drawing a blank card = 0 tokens
The probability will be equal to the quotient between the number of blank cards and the total number of cards
p₁ = 30/40 = 3/4
x₂ = drawing a prized card = 8 tokens.
The probability will be equal to the quotient between the number of prized cards and the total number of cards:
p₂ = 10/40 = 1/4
Then the expected value per draw is:
EV = ( (3/4)*0 tokens + (1/4)* 8 tokens) = 2 tokens.
And we have two draws, then the expected value of two draws is two times the expected value per draw, this means that the expected value in our case is:
expected value = 2*(2 tokens) = 4 tokens.
The correct option is the first one, counting from the top.
evaluate y-x when y= -9 and x = -5
Answer:
-5
Step-by-step explanation:
Find the missing angle
Answer:
x+63=90(complementary angle)
x=90-63
x=27
jackson spent 8.55 for 3 bags of chips.how many bags of chips can he got for $30
Answer:
10
Step-by-step explanation:
is 2+2=4 or is it 2+2=22
Answer:
[tex]2+2=4[/tex] obviously...
Pls mark brainliest!Answer:
well it depends
Step-by-step explanation:
if you wanna be hallarius then 22 but the real mathmatics is 4
PLS GIVE BRAINLIEST