Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and number of nights is shown in the graph.
What is the cost per night?
writ e an equation to represent this.
Answer:
Cost per night: 75
Equation: [tex] y = 75x + 50 [/tex]
Step-by-step explanation:
An equation to represent the situation can be written in the slope-intercept form, [tex] y = mx + b [/tex], where,
m = slope of the graph, which is the rate per night.
b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.
Let's find m, using two points on the line, (2, 200) and (4, 350)
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75 [/tex]
✅The cost per night = 75
y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.
Substitute m = 75, and b = 50 into [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = 75x + 50 [/tex]
A running trail is 63 miles long. Leigh plans on
running this trail over the course of 4 days. How
much of the trail will she have to run each day?
Answer:
63/4 or 15 3/4 miles each day
Step-by-step explanation:
Answer:15.75
Step-by-step explanation:63/4 = 15.75
Find the solution(s) of the quadratic equation x2 + 2x -15 = 0.
A)x= -5,3
B)x= 5,3
C)x= -5 -3
D)x= 5,-3
Answer:
The answer is A.
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+2x−15=0
Step 1: Factor left side of equation.
(x−3)(x+5)=0
Step 2: Set factors equal to 0.
x−3=0 or x+5=0
x=3 or x=−5
Answer:
x=3 or x=−5
The solutions of the given quadratic equation are x=-5 and x=3. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is x²+2x-15=0.
By using splitting middle term method, we get
x²+5x-3x-15=0
x(x+5)-3(x+5)=0
(x+5)(x-3)=0
x+5=0 and x-3=0
x=-5 and x=3
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
#SPJ2
Change 0.568 into a fraction.
Answer:
568/1000
Step-by-step explanation:
Jackson earned $59,630.00 of taxable income last year. If the federal income tax rate was 24%, then how much federal income tax did Jackson pay on his taxable income last year?
A.
$14,311.20
B.
$15,503.80
C.
$14,907.50
D.
$13,714.90
Answer: its A i think
Step-by-step explanation
If two sides of your triangle are 6cm and 18cm, what is the range of values that the third side could be?
Answer:
The ranges of the value can be from 12-24
Step-by-step explanation:
Hope this helps <3
Tell me if you want an explanation.
Answer:
17cm
Step-by-step explanation:
We are given two sides, so we can use the Pythagorean theorem [ a² + b² = c² ] to solve for the third side. Let a = 6 and c = 18.
6² + b² = 18²
36 + b² = 324
b² = 288
√b² = √288
b ≈ 17cm
Best of Luck!
2. (07.02)
Help fast plz!!!How many solutions can be found for the equation 12x + 8 = 12x + 8? (4 points)
Zero
O One
O TWO
Infinitely Many
Answer:
Infinitely Many
Step-by-step explanation:
When 0.575 is divided by 0.8, the quotient is
Answer:
0.71875
Step-by-step explanation:
Answer:
0.71875
Step-by-step explanation:
you can plug this into a calculator to get the answer.
remember, the quotient is basically whatever answer you get from dividing something from something else.
A robot can complete 7 tasks in 3/5
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
Answer:
1 and 2/3 tasks
Step-by-step explanation:
a) A robot can complete 7 tasks in 3/5 hours.
This means ;
7 tasks = 3/5 hours
1 task = ?
perform cross- multiplication as;
{1*3/5} /7
3/35 hours
b)
3/5 hours = 1 task
1 hour = ?
{1*1} / 3/5
1 / 3/5
1 * 5/3
1 and 2/3 tasks
6.5
9.9
Find the measurement of the missing side. Round the answer to its second decimal place.
Your answer:
A. 7.47
B. 7.46
C. 7.476
D. 7.40
Answer:
i know its hard on computer
Step-by-step explanation:
find the missing lengths and leave answers as radicals in simplest form
Answer:
A and B are 4
Step-by-step explanation:
because of the 45 45 90 theorem. knowing the rule allows you to solve it really easily
Find the y-intercept of the following equation. Simplify your answer.
10x + y = 8
Solve the linear equation 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
(2.25 - 7.75) + (-11j + 1.5j) = 0.5j - 1
-5.5 -9.5j = 0.5j - 1
-9.5j -0.5j = -1 + 5.5
-10j = 4.5
j = 4.5/-10
j = -0.45
Answer:
A. j=-0.45
Step-by-step explanation:
he waves just keep coming! Meg compared the locations of the treasures to try to collect them more quickly. Which statements are true? Check all that apply.
Negative 1 greater-than negative three-fourths
Negative one-half less-than 0
Three-fourths less-than negative 1
Negative one-fourth = one-fourth
Negative 1 less-than one-fourth
Answer:
B
Step-by-step explanation:
ii took the testy ton edge2020!
Answer:
It is B and E.
Step-by-step explanation:
Please trust me you will get it right.
Find the product of 4.1x10*2
Answer: 410
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
4.1*(10*2) is equal to 82 because 10*2 as we all (should) know is 20, and 4.1*20 is 82! I hope this is the answer you wanted!
A boy owns 7 pairs of pants, 4 shirts, 3 ties, and 8 jackets. How many outfits can he wear to school if he must
wear one of each item?
Answer:
the answer is 3
Step-by-step explanation:
because if he has to wear one he has to wear ties otherwise he wont be able to wear anymore ties after three days.
Which number is IRRATIONAL?
Answer:
√27
Step-by-step explanation:
√9, √36, and √81 are rational
Look at the following numbers:
-7, 0, 7, 14
Which pair of numbers has a sum of 0?
O 0,7
O-7,7
07, 14
O-7, 14
Please help please help!!!!!!
A,B,C,or ,D???
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[tex] {5}^{ {3}^{5} } = {5}^{3 \times 5} = {5}^{15} [/tex]
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Thus the correct answer is (( B )) .
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4) Ben and his friends are going to play putt-putt. At one location, they can pay $2.00
rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus
$6.00 per game. How many games would they have to play in order for either location to
cost the same amount?
!I need the equation!
!and the x= answer!
Answer:
Either location costs the same when they play 4 games
Step-by-step explanation:
The total cost for playing putt-putt consists of fixed rentals and a variable amount per game.
On one location Ben and his friends can pay $2 rentals plus $7.50 per game.
If x is the number of games played, then the total cost at this location is:
C1(x) = 7.50x + 2
At another location, it would cost $8 for rentals plus $6 per game. The second function is:
C2(x) = 6x + 8
It's required to find the number of games x in order for either location to cost the same amount.
It can be done by equating both cost functions:
7.50x + 2= 6x + 8
Subtracting 2 and 6x:
7.50 - 6x = 8 -2
Operating:
1.5x = 6
Dividing by 1.5:
x = 6 / 1.5
x = 4 games
Either location costs the same when they play 4 games
Please help me .only answer if you know
Answer:
B) is the answer
Step-by-step explanation:
Find the constant of proportionality (k) for this relationship. Using the value for , enter an equation in the form of s = kw that represents the relationship between the number of weeks(w) and the total savings (s).
A car is traveling at a constant speed the graph shows how far the car traveled in miles during a given amount of time
Bill can make 400 sandwiches in 2 ½ hours. What is his unit rate?
Answer:
160 sandwiches/hour
Step-by-step explanation:
To find his unit rate, divide 400 by 2.5, since he can make 400 sandwiches in 2.5 hours:
400/2.5
= 160
This means he can make 160 sandwiches in 1 hour.
So, his unit rate is 160 sandwiches/hour
Write 1/5 as a fraction before it was reduced
Work out the balance for £240 invested for 20 years at 7% per annum
Step-by-step explanation:
It depends in the type on interest
Simple Interest
PxRxT
£240 x 0.07x 3 = £50.4
£240 + £50.4 = £290.4
Compound Interest
Px(1+R)^T
£290.4 x (1 + 0.07)³ = £355.7524872= €355.76
22 divided by 4/5
please help me every time i do this it isn’t right
Answer:
what form is the question?
Kimmy earns a 20% commission on all sales plus a base salary of $30,000. Her total income last year was $80,000. Which equation can be used to calculate Kimmy’s total sales?
PLEASE HELP );
Answer:
I = 30,000 + 0.20 =80,000
Step-by-step explanation:
If you pose a question as Which equation can be used to calculate Kimmy's total sales,
then that suggests that we're to be given several options from which to choose.
Anyoneee?? Mean Median and mode
Answer:
mode is the most occuring number which is in this case 11
you get the median by putting them in order from least to greatest and them marking them out until you get to the middle but if there are two numbers in the middle you add them and then divide by two and that is your median but in this case your median is 11
you get the mean by adding all the numbers together and dividing by how many numbers there are so in this case you are dividing by 9 and when you add oall of these numbers together you get 98 and 98/9 is 10.8888888889 which you would round and get 10.9
hope this helps
How far would a runner that ran 200 meters in minute run in 3 minutes at the same rate?
Answer:
I think 200x3
Step-by-step explanation:
200x3 = 600
Answer: 600 meters
Step-by-step explanation: 3/1 x 200/1 = 600 meters
