The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.
a. Write an equation that represents the situation.
Answer:
If the cost y is proportional to the number of hours x:
y = kx where k is the constant of proportion.
Given $27 for 3 hours, find k
27 = 3k
k = 9
Your equation is: y = 9x
From this, given a value for y or x you can plug it in to find the other.
Step-by-step explanation:
Answer: [tex]\frac{27}{3}[/tex]
Step-by-step explanation:
0.6x = 5.4 what is x
Answer:
x = 9
Step-by-step explanation:
0.6x = 5.4 (divide each side by 0.6)
x = 9
Solve the equation for y:
3 + 5y/2
= X
Answer :
y = [tex]\frac{2}{5} ( x - 3)[/tex]
Step-by-step explanation:
6 + 5y = 2x
or, 5y + 6 - 6 = 2x - 6
or, 5y = 2x - 6
or, 5/5 y = 2 ( x - 3) / 5
or, y = 2/5 ( x - 3)
therefore, y = [tex]\frac{2}{5} ( x - 3 )[/tex]
A table is made using the following two patterns.
Pattern 2: Starting number: 12, Rule: Add by 8
Pattern y: Starting number: 60, Rule: Divide by 2
Complete the table for the given patterns.
2
Y
12
60
Step-by-step explanation:
add 8 to each x coordinate and divide 60 by 2 and then divide that by 2
The complete table for the given pattern is,
x: 12, 20, 28.
y: 60, 30, 15.
To complete the table for the given patterns, we can follow the specified rules for each pattern:
Pattern x: Starting number: 12, Rule: Add by 8
To generate the numbers in this pattern, we start with the given starting number, which is 12. Then, we apply the rule of adding 8 to each successive number.
12 + 8 = 20
20 + 8 = 28
So, the completed table for Pattern x would be:
x
12
20
28
Pattern Y: Starting number: 60, Rule: Divide by 2
For this pattern, we start with the given starting number, which is 60. Then, we apply the rule of dividing each successive number by 2.
60 ÷ 2 = 30
30 ÷ 2 = 15
So, the completed table for Pattern Y would be:
Y
60
30
15
By following the respective rules for each pattern, we have filled in the missing values in the table.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
help asap ok i’ll give brainlist
Answer:
70
Step-by-step explanation:
63+47=110
180-110=70
Answer: x= 70
Step-by-step explanation:
A triangle=180 degrees
We know 2 of these degrees
Add them together
63+47=110
Now subtract 110 from 180
180-110=70 degrees
A scooter travels 30 feet in 2 seconds at a constant speed. b. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds.
Answer:
15 feets ; 45 feets ; 60 feets ; 75 feets
Step-by-step explanation:
Given that:
Moving at a constant speed ; Distance traveled in 2 seconds = 30 feets
The traveling speed = distance / time
Traveling speed = 30 feets / 2 seconds
Traveling speed = 15 ft/s
Distance traveled = traveling speed * time
Distance traveled after 1 second :
Time = 1 second
15ft/s * 1s = 15 ft
Distance traveled after 3 second :
Time = 3 second
15ft/s * 3s = 45 ft
Distance traveled after 4 second :
Time = 4 second
15ft/s * 4s = 60 ft
Distance traveled after 5 second :
Time = 5 second
15ft/s * 5s = 75 ft
Connor wants to save up money to buy his math teacher a PS5 for the holidays. After 4 weeks, he has $178 saved up. After 9 weeks, he has $338.
1) Write a sentence describing what changed between these two moments in time.
2) How much is Connor having each week?
3) How much did Connor already have when he decided to start saving?
Answer:
1.) Over these two moments he has saved up more money to buy a PS5 for his teacher
2.) $32 dollars per week
3.) $178
Step-by-step explanation:
2.) 338-178= 160/5= $32
3.)$178
Answer:
338 and 172
Step-by-step explanation:
e Explore It!
A group of college students developed a
solar-powered car and entered it in a
race. The car travels at a constant speed
of 100 meters per 4 seconds.
Answer:
50m/s
Step-by-step explanation:
Since we are not told what to find, we can as well look for two speed of the car in meter per seconds
If the car travels at a constant speed of 100 meters per 4 seconds, the we can say;
100 meters = 4seconds
Since we want to know the speed in metres per second, we will say;
X meters = 1second
Equating both
100 meters = 4seconds
X meters = 1seconds
Cross multiply
4×X = 200×1
4X = 200
Divide both sides by 4
4X/4 = 200/4
X= 50
Hence the of the car in meter per seconds is 50meters per second
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Do not include units (students) in your answer.
Answer:
We have 250 sixth-grade students are at the school
Step-by-step explanation:
Let the total number of sixth graders be represented as x
Therefore we solve the question nas shown below:
40% of x = 100 sixth grade students that prefer Hip -pop
= 40/100 × x = 100
= 40x /100 = 1000
Cross y
40x = 100 × 100
40x = 10000
x = 10000/40
x = 250 students
Hence, we have 250 sixth-grade students are at the school
In the first event, the eighth graders are running a baton relay race with three other classmates. The teams top speed for each leg is 56.8 one seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to protect his teams best time for the race. Each leg of the race from part a is the same distance. Calculate the teams average time for each leg of the race. Show your work
Answer:
The best time is 56.81 seconds
Average leg time is 58.3825 seconds
Step-by-step explanation:
Here, we want to start by stating the team’s best time for the race
The team’s best time for the race is the smallest time spent on a lap
From the times given, the best time is 56.81 seconds
Now, we want to calculate the average time
We simply add up all these and divide by count
Mathematically, that will be;
(56.81 + 59.22 + 57.39 + 60.11)/4 = 58.3825 seconds
If EF = 2x – 11, FG = 4x - 16, and EG = 27, find the
values of x, EF, and FG. The drawing is not to
scale.
Answer:
x=9
EF=7
FG=20
Step-by-step explanation:
2x-11 + 4x-16=27
6x-27=27
+27 +27
6x=54
6x/6=54/6
x=9
EF= 2(9)-11
18-11=7
FG=4(6)-16
36-16=20
10. Use the following information to answer the questions: Today, everything at the mall is on sale. The store offers a 10% discount.
a. The regular price of a T-shirt is $27. What is the discount price?
b. If the regular price of an item is x dollars, what is the discount price in dollars? Write an equation
c. The discount price of a socks is $13.50. What is the regular price?
Answer:
a. The T-shirt on discount is $24.30
b. x = 0.9r
c. The regular price of the socks is $15
Step-by-step explanation:
If everything in the mall is at a 10% discount then you must multiply every regular sale by 0.9(90%). To get the regular price of the socks, you must divide by 0.9(10%).
Matilda needs at least $100 to in her savings account to keep it open. She already has $330 but withdraws $11 a month for fun. Write and solve an inequality to find how many months she will be able to keep her account open. Interpret the solution.
Step-by-step explanation:
Step one:
given data
we are told that she wants her balance to be at least $100
y=100-------1
the expression relating her current balance and spending rate is
let y be the total and m be the number of months
y=330-11m----------2
Required
the number of months m
equating 1 and 2 we have
100=330-11m
11m=330-100
11m=230
m=230/11
m=20.9
m=21 approx
This means that she will keep her account open for 1 year 9 months
An amusement park has 32000 visitors per day when it charges $70 per person. For each $2 increase in price, the park loses about 800 visitors answer. How much should the park charge to maximize the daily revenue? What is the maximum daily revenue?
Answer:
Maximum daily revenue = $2,249,600
Step-by-step explanation:
If you approach this problem with a trail and error mindset you can quickly calculate that if you take an increase of $6 per ticket or $76 per ticket, then subtract the equivalent loss of visitors which would be 800 * 3 or 2,400 then you get 29,600 visitors. By simply multiplying this number by the cost of the tickets you achive 2,249,600 daily. This could be wrong as I did not use a formula.
The Ta-Da Theatre company recorded the number of annual auditions since 2015 in the table shown.
Based on this information, what is the best prediction of the number of auditions that will be held in 2025?
A: 72
B:23
C: 107
D: 61
ILL GIVE YOU BRAINIEST
PLEASE HELP MEEEE
Answer:
Luh Goop
Step-by-step explanation:
Your Mom
Which number line plots the integers -12, -3, and 7?
-15
-10
-5
0
5
10
A
-15
-10
-S
0
S
10
.
-15
-10
-5
0
S
10
-15
-10
-5
0
5
10
Answer:
A
Step-by-step explanation:
I took the test
NEED HELP ON THIS ANSWER BE SEROUIS PLEASE!
Answer: C, a = 250t + 500
Step-by-step explanation: First, we can simply take out 500 out of 1500 to show the first deposit. Now we can do 1000 / 4 to get 250 a month.
This gives us a = 250t + 500
Hope this helps :)
Hcf of two numbers is 2 and lcm is 54 if one of the number is 27 find the other number
Answer:
4
Step-by-step explanation:
Given that:
Let the two numbers = a and b
H. C. F of the two numbers = 2
L.C.M of the two numbers = 54
If a = 27 ; b =?
The product of a and b = product of their L. C. M and H. C. F ;
HENCE ;
27 * b = 2 * 54
27b = 108
b = 108/27
b = 4
Hence, second number is 4
on a math test the students are given a triangle
Step-by-step explanation:
so, what should we do of that triangle. sorry, i think ur question is incomplete.
A Red bucket has 200 L of water and has been filled at a rate of 6 liters per minute A blue bucket hats 500 L of water and is being drained at a rate of 6 L per minute how many minutes will it take for the two buckets to have the same amount of water
Answer:
Both buckets will have the same amount of water after 25 minutes
Step-by-step explanation:
Equations
Let's call:
t = number of minutes elapsed for both buckets
The red bucket already has 200 L of water and it's flowing in at a rate of 6 liters per minute. Thus, the volume of water in this bucket is:
R = 200 + 6t
The blue bucket has 500 liters of water and is being drained at 6 liters per minute. The volume can be modeled by the equation:
B = 500 - 6t
The condition for both buckets to have the same amount of water is:
R = B
200 + 6t = 500 - 6t
Adding 6t and subtracting 200:
6t + 6t = 500 - 200
12t = 300
t = 300/12
t = 25 minutes
Both buckets will have the same amount of water after 25 minutes
What is the image of ( -7,5) after a reflection over the line y = -x?
Answer:
(-5, 7)
Step-by-step explanation:
(x,y) over y= -x = (-y, -x)
(-7, 5) is turned to (-5, 7)
Weight of 8 bags of sugar is 400 kg. The weight of 30 such bags will be ------------------------------------
Answer:
1500 kg
Step-by-step explanation:
8 bags = 400 kg
1 bag = 400/8
= 50 kg
30 bags = 30×50
= 1500 kg
Answer:
Step-by-step explanation:
First of all, calculate the weight of 1 bag of sugar first.
400/8=50
So 1 bag of sugar is 50 Kg.
There are 30 bags of sugar so multiply 50 by 30
You will get 1,500Kg for 30 bags of sugar.
The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!
I NEED HELP PLEASE ANYONEEEEEE
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
2−x+10−4x=5
what is X?
Answer:
7/5
Step-by-step explanation:
2−x+10−4x=5
2−x+10−4x=5
2+−x+10+−4x=5
(−x+−4x)+(2+10)=5(Combine Like Terms)
−5x+12=5
−5x+12=5
−5x+12−12=5−12
−5x=−7
−5x /−5 = −7 /−5
x= 7 /5
-4.75 = z/2
It's not that urgent, but I would appreciate it if you helped me!
WILL MARK BRAINLIEST IF YOU GET IT RIGHT.
Answer:abd
Step-by-step explanation:
Answer:
A B and D
Step-by-step explanation:
these numbers could represent percents like 95% off 85% off or 55% off
so if n represents 1 item you would do 0.95(1) which equals 0.95 off of the original price which would make it 0.05
hope this makes sense
Change the vertex form to standard quadratic form
Answer:
3x square-30x +29=0. i think thats the equatiom
When solving the following system of
equations, which variable would be the easiest
to solve for?
5.2 + 3y = 22
4x – 2y = 16
O the y in the first equation
the x in the second equation
the x in the first equation
the y in the second equation
Answer:
The y in the second equation
Step-by-step explanation:
The y in the second equation is preceded by a negative coefficient, therefore it will be positive when added to the other side. All the numbers in the equation are even and easily divided by 2 as well. 2 is also the smallest number in the equation, so the remaining numbers will remain whole.
Shawn drinks ½ of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
if she drinks half in 2/3 of an hour that's 3 ounces and about 1.5 ounces every 1/3 of an hour so she would drink 4.5 ounces in an hour
Will give brainliest!!
please help!!
In emails to subscribers of a weekly newsletter, Mikayla found that approximately 72% of the emails are left unopened. If she sends out 5,896 emails each week, approximately how many emails are unopened?
Answer:
4245.12 emails are unopened
Step-by-step explanation:
