Answer:
Clayton = $16.56
Danielle = $9.36
Step-by-step explanation:
from this we can form an equation using two data points
Using (125, 7.50) and (150, 9)
put in the formula (y-y1)/(x-x1) = (y2-y1)/(x2-x1)
x1 = 125, x2 = 150 , y1 = 7.5-, y2 = 9
(y - 7.5)/(x- 125) = (9-7.50)/(150-125)
(y - 7.5)/(x- 125) = 1.5/25= 0.06
y = 0.06(x-125) + 7.5
y = 0.06 x - 7.5 + 7.5
y = 0.06x
we can use the equation to solve both questions
Clayton needs 23 ft = 276 inches
y = 0.06(276) = $16.56
Danielle needs 12ft = 156
y = 0.06(156) = $9.36
Answer:
Just answering so the other person can get brainliest.
Step-by-step explanation:
Katie draws 14 pictures in 24 minutes. At this rate, how many pictures can she draw in 312 minutes?
Answer:
Hi there! the answer should be: Katie can draw 182 pictures in 312 minutes
Step-by-step explanation:
312 ÷ 24 = 13
14 x 13 = 182
hope this helped qwq
In 9 hours, Ali reads 3 chapters of a book. What is his rate in chapters per hour
Answer: 1/3 chapters
Step-by-step explanation:
3 chapters / 9 hours = 1/3
what is 0.0832 divided 0.64
Answer:
0.13 is the answer
Step-by-step explanation:
just do it
A recipe calls for 3 cups of milk for every 2 cups of flour. If you have 15 cups of milk, how many cups of flour will you need?
Consider the infinite geometric series infinity sigma n=1 -4(2/3)^n-1. In this, the lower limit of the summation notion is "n=1". PLEASE show your work I dont understand
1)write the first four terms of the series 2) does the series diverge or coverge 3) if the series has a sum find the sum
Answer:
To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:
n=1: -4(2/3)^0 = -4(1) = -4
n=2: -4(2/3)^1 = -4(2/3) = -8/3
n=3: -4(2/3)^2 = -4(4/9) = -16/9
n=4: -4(2/3)^3 = -4(8/27) = -32/27
So the first four terms of the series are -4, -8/3, -16/9, -32/27.
To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:
r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3
Since the absolute value of the common ratio is less than 1, the series converges.
To find the sum of the series, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
where a is the first term and r is the common ratio. Substituting the values we found:
S = -4 / (1 - 2/3) = -4 / (1/3) = -12
So the sum of the infinite geometric series is -12.
Answer:
a) The first four terms of the series are:
-4, -8/3, -16/9, -32/27
b) The series converges.
c) The sum of the infinite geometric series is -12.
Step-by-step explanation:
Given infinite geometric series:
\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)
Therefore, the formula for the nth term of the sequence is:
\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)
where:
-4 is the first term, a.2/3 is the common ratio, r.Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.
\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)
\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)
\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)
\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)
A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.
Use the infinite geometric series sum formula to find sum of the infinite series.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:
\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)
Therefore, the sum of the given infinite geometric series is -12.
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Is y=-(2)/(5)x proportional?
Answer:
y=5x is proportional.
Step-by-step explanation:
Answer:
10 is the awnser to the question ( mark as best awnser)
.....................
Answer: 258 cubic inches
Answer:
258 cubic inches
hope you like it : )
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Which of the following explains the student's error?
Multiple choice questions.
cross out
A)
The two angles must equal 90°, so 2x+6+60=90
C)
The two angles do not equal 180°. They are vertical angles, so 2x+6=60
D)
The student should have added 66 to both sides of the equation instead of subtracting 66.
Part B
Fill in the blank question.
What is the correct solution?
The correct explanation for the student's error is: (C) The two angles do not equal 180°. They are vertical angles, so 2x+6=60
Vertical angles are pairs of angles formed when two lines intersect. These angles are opposite each other and have equal measures. However, the student incorrectly assumed that the vertical angles were supplementary angles (adding up to 180°).
As a result, they set up the equation as 2x + 6 + 60 = 180, which does not apply to vertical angles. This is why option C explains the error by stating that the two angles are vertical angles, and the correct equation should be 2x + 6 = 60.
To solve the correct equation for 'x', which is 2x + 6 = 60, follow these steps:
Start with the equation: 2x + 6 = 60Subtract six from both sides of the equation: 2x = 54Divide both sides by 2: x = 27The correct solution is x = 27, which means that the value of 'x' that satisfies the equation 2x + 6 = 60 is 27. This correctly reflects the measure of the angle within the given context.
In summary, the student's error stemmed from misunderstanding the nature of vertical angles and incorrectly assuming that they were supplementary angles. By recognizing the correct characteristics of vertical angles and applying the appropriate equation, the solution can be accurately determined as x = 27.
Learn more about angles:
https://brainly.com/question/1309590
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
please help me and thanks
Answer:
x=34
Step-by-step explanation:
90-22=68
68÷2=34
Answer:
THE ANSWER IS 68
Step-by-step explanation:
Because there is a 90 degree angle but split up into 2 parts so you do 90-22 degrees and get the answer which is 68
At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in a survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? BIG SHOUTOUT TO THE PERSON FROM LAST QUESTION!!!
Answer:
The probability of being selected on Friday was 90/500 = 9/50. Since the probability of being selected on Saturday is the same as it was on Friday, we can use this probability to calculate how many customers will be selected to participate in the survey on Saturday.
If there are 700 customers at the store on Saturday, then we can calculate the number of customers that will be selected for the survey as follows:
Probability of selection = 9/50 Number of customers = 700
Number of customers selected for survey = Probability of selection * Number of customers = (9/50) * 700 = 126 customers
Therefore, we can expect that 126 customers will be selected to participate in the survey on Saturday.
Step-by-step explanation:
The table shows the results of randomly selecting a colored cube from a bag 80 times. The cube was returned to the bag after each selection.
Based on these results, what is the expected probability of randomly selecting a red cube from the bag in one attempt?
A) 0.20
B) 0.04
C) 0.24
D) 0.30
I need help with this
Answer:
Step-by-step explanation
Area = √s(s-a)(s-b)(s-c)
= √23×(23 - 14)×(23 - 13)×(23 - 19)
= 90.994505328619 feet2
Which expressions are equivalent to 2(3/4x + 7) - 3 (1/2x - 5) Check all that apply.
1) -1
2) 29
3) 2(3/4x + 7) + (-3) [1/2x + (-5)]
4) 2(3/4x) / 2 (7) / 3(1/2x) / 3(-5)
5) 2(3/4x) / 2(7) / (-3)(1/2x) / (-3)(-5)
Please hurry, the assignments due soon! The "/" stand for division btw-
Answer:
3
Step-by-step explanation:
5 stars + Brainliest.
I already have questions 9-12 but help with
In 1983 about 17,000,000 visitor hours were spent on boating. To the nearest million, about how many hours were spent on fishing? (right screenshot)
Answer:
20,159
Step-by-step explanation:
In 1983, there was a total of 37,159 million people fishing and boating. To find out only fishing, we need to subtract the 17,000 million people who boated (37,159 - 17,000 = 20,159) Now we know how many people fished in 1983, 20,159 million people.
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
What are the angle measurements??
I NEED HELP FAST please
a) The step where Mardie first made an error is given as follows: Step 1, as the negative sign means that the sign of each term inside the parenthesis should be changed.
b) The correct expression is given as follows: -8.6b + 28.
How to simplify the expression?The expression in the context of this problem is defined as follows:
(-3.78b + 12) - (4.82b - 16).
The negative sign before the parenthesis means that the sign of each term inside the parenthesis is changed, hence:
-3.78b + 12 - 4.82b + 16.
This is the step where Maddie made the first error.
Then, to simplify the expression, we combine the like terms, as follows:
b(-3.78 - 4.82) + 12 + 16 = -8.6b + 28.
More can be learned about simplification of expressions at https://brainly.com/question/723406
#SPJ1
Which point is a solution to the system of linear equations?
y = −x + 2
x − 3y = 6
(−1, 3)
(0, 2)
(2, 0)
(3, −1)
How many solutions does the system of linear equations represented in the graph have?
One solution at (2, −3)
One solution at (−3, 2)
No solution
Infinitely many solutions
Answer:
(2, -3)
Step-by-step explanation:
their is one solution at (2,-3) because that is where the two lines intercept eachother
Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}
Answer: domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
Step-by-step explanation:
DOMAIN: {4}
RANGE: {2,5,7,9}
FUNCTION? NO!
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.
Jake, Becky, and Max are meeting at Charley's Pizza for dinner and then plan to go to a movie. When they arrive at the pizza place, each one of them has a different coupon. They decide to use the coupon that will give them the best deal. Jake's coupon is $19.99 for a pizza and pasta meal deal; Becky's coupon is for two large one-topping pizzas--each at of the menu price; and Max's coupon is for three medium one-topping pizzas -- each at off the menu price. According to the menu, a medium one-topping pizza is $8.99, and a large one-topping pizza is $14.89. They also spend $1.25 each for sodas and $5.00 on the tip. At the movie theater, Max has a coupon that's good for off a third movie ticket when you purchase two other movie tickets at the regular price. The regular price of each movie ticket is $9.80.
Although Jake, Becky, and Max plan to split the cost of the pizza and movie, they decide that with the coupons, it's just easier if one of them pays at each place. So, the friends agree that Jake will pay for the pizza and Becky will pay for the movies. At the end of the night, they'll figure out how much Max owes both Jake and Becky.
If Jake gives the server $30 at the pizza place, he should receive back ______
$1.50 in change (after leaving the tip).
A: More than
B: less than
C: Exactly
Which of these place values is found to the left of the 1 in 10?
tenths
thousands
hundreds
ones
Answer: hundreds
Step-by-step explanation: uh yeah its just that i guess
another math question
Answer: .50 cents
Step-by-step explanation:
We can model the function by subtracting one number over another. \(9.70-9.20=.50\)
This gives the additional charge per minute.
Help! I don't understand rate of change??
Hi :)
Rate of change is the change in the y divided by the change in x
Here's the formula
R = (∆y / ∆x )
R = rate of change
∆y = change in y
∆x = change in x
Answer the question below please!! :D
Liz wants to find 5.292 ➗ 36. In which place should she write the first digit of the quotient?
Answer:
0.147
Step-by-step explanation:
A basketball player plays 2,181 minutes the first year of his career, 2,583 minutes the second year of his career, and 2,716 minutes the third year of his career. How many minutes has he played in three years?
Answer:
7,480 minutes.
Step-by-step explanation:
2,181 + 2,583 + 2,716 = 7,480 minutes.
Answer: 7,480
Step-by-step explanation: obviously you
have to add so 2181+2583+2716=