Answer:
(a) $16.25
(b) 7
Step-by-step explanation:
Rent of 1 raft for 1 day= $10
So, rent for 1 raft for half-day=10/2=$5
Charge for 1 person for half-day river trip =$15
Flat rate for half-day river trip=$200
(a) There is 4 member of the Kaplan on the trip.
One raft can hold up to 10 people, so, they need to take 1 raft on rent.
Rent of 1 raft for half-day =$5
Charge for 4 persons for half-day river trip =$15x4=$60
Total cost for the half-day trip for 4 persons=5+60=$65
Cost for half-day trip for 1 person= $65/4=$16.25
(B) Let there are n peoples on the river trip.
For the number of people up to 10, they need to take one boat on rent.
Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)
=5+15n.
Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)
=5+100
The condition for which the flat-rate cost is less expensive than the per person rate cost is
[tex]5+100<5+15n[/tex]
[tex]\Rightarrow 100<15n[/tex]
[tex]\Rightarrow n>\frac{100}{15}[/tex]
[tex]\Rightarrow n>6\frac{2}{3}[/tex]
As n is the number od person which cant be a fractional value, so
n=7,8,9,... or [tex]n\geq7[/tex]
So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.
Is y=x+3.75 proportional
Answer:
NO
Step-by-step explanation:
if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.
Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.
That means that the relationship is NOT proportional.
The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.
Hope this helps and pls do mark me brainliest if you can:)
Answer: No
Step-by-step explanation:
The equal y=x+3.75 is expressed in slope intercept form meaning it doesn't fit the proportional equation which is y=kx and k is the slope.
Because of the y-intercept of the line it makes it not proportional .
The table below shows Britney's distance, in miles, from her destination after different time intervals in hours: Time (hours) (x) 2 4 1 3 6 5 7 Distance from destination (miles) (y) 1,000 880 1,060 940 760 820 690 What is the correlation coefficient for the data, and what does it represent? (5 points) 0; it represents no correlation between x and y 0.999; it represents a linear positive correlation between x and y −0.999; it represents a linear negative correlation between x and y 0.999; it represents a linear negative correlation between x and y
Answer:
-0.999
Step-by-step explanation:
Answer:
-0.999
Step-by-step explanation:
took test
5(2x+3)+3x=4(x+7)+5 show your work
Answer:
X = 2
Step-by-step explanation:
Can someone help me!! what is the smallest positive counterclockwise roation if the point is rotated at 272 degrees clockwise
Given:
The point is rotated at 272 degrees clockwise.
To find:
The smallest positive counterclockwise rotation for the given clockwise rotation.
Step-by-step explanation:
Clockwise rotation = 272°
We need to subtract the given clockwise rotation from 360° to get the smallest positive counterclockwise rotation, because one complete circle is 360°.
Counterclockwise rotation = 360° - Clockwise rotation
= 360° - 272°
= 88°
Therefore, the smallest positive counterclockwise rotation is 88°.
i need help with this equation
-17 = -7c + 4
Answer: c = 3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Subtract 4 from both sides.
-17 - 4 = -7c
Step 2: Simplify -17 - 4 to -21.
-21 = 7c
Step 3: Divide both sides by -7.
[tex]\frac{-21}{-7}[/tex] = c
Step 4: Two negatives make a positive.
[tex]\frac{21}{7}[/tex] = c
Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.
3 = c
Step 6: Switch sides.
c = 3
~I hope I helped you! :)~
Convert the scientific notation into a standard form number,
1.23 x 10-5
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]
[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left
[tex]a\cdot10^n[/tex] - move the decimal point n place to the right
Examples:
[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]
f(x) = 4x^2 - 7x + 7 find f(7)
Answer:
ummmm what grade do you are
Answer:
f(7)=140
Step-by-step explanations:
Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different company that charges $70 per day and $0.30 per mile. How many miles do they have to drive before Hana and Peter pay the same price for the rental for the same number of miles?
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.
They will drive 200 miles before paying same amount.
Let the number of miles that they will drive together and pay the same amount be represented by x.
Since Hana's car rental company charges $50 per day and then $0.40 per mile, this can be represented as:
= 50 + (0.40 × x)
= 50 + 0.40x
Since Peter rents a car from a different company that charges $70 per day and then $0.30 per mile, this will be:
= 70 + (0.30 × x)
= 70 + 0.30x
Then we will equate both Hana's and Peter's equation together and this will be:
50 + 0.40x = 70 + 0.30x
Collect like terms
0.40x - 0.30x = 70 - 50
0.1x = 20
x = 20/0.1
x = 200
In conclusion, they will drive 200 miles before paying thesame amount
Read more on:
https://brainly.com/question/17671517
Please if anyone can answer?
Answer:Oof your stuff looks hard!
Step-by-step explanation:
Answer:
n = - 7
Step-by-step explanation:
[tex] \frac{2m + 5}{n + p} = 9 \\ \\ plug \: m = 2 \: and \: p = 8 \\ \\ \frac{2 \times 2 + 5}{n + 8} = 9 \\ \\ \frac{4 + 5}{n + 8} = 9 \\ \\ \frac{9}{n + 8} = 9 \\ \\ n + 8 = \frac{9}{9} \\ \\ n + 8 = 1 \\ \\ n = 1 - 8 \\ \\ n = - 7[/tex]
Identify equations, expressions, and inequalities
Identify whether each phrase is an expression, equation, or inequality.
HUH PLEASE HELP
Answer:
the middle one goes to the top, top one goes to the middle and bottom stays there
Step-by-step explanation:
(-3,7) and (8,-6) found distance
the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fathoms relative to sea level. which was deeper, the first mission, or the second. (i’m in modern high school which means i get collage questions, i only have 1 hour left to get this done, someone help!)
Answer:
The first missionStep-by-step explanation:
The depth readings are
The first mission: - 2 3/4 fathomsThe second mission: - 2 5/8 fathomsComparing the readings
- 2 3/4 = - 2 6/8 and - 2 5/8Absolute values compared
2 6/8 > 2 5/8Indicating the greater value on the first mission
As per above, the first mission was deeper
Help me pls i need this to get through my homework
Answer:
x is greater than negative 4, and less than or equal to 5
Step-by-step explanation:
Answer: X is greater than negative 4 and less than 5
Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.
7TH GRADE ME PLZZ thanks
Answer:
-2/6 or -1/3
Step-by-step explanation:
write 125 as a repeated multplication of 5 then write the power
Answer:
5×5×5=5³
Step-by-step explanation:
Answer:
A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.
Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.
I Mark got 54 out of 66 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form
Please help
Answer: The answer would be 2/11
Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11
Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?
The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given that,
Evan earned $26 for 4 hours of babysitting.
If total earnings y for babysitting x hours then,
y = (26/4)x ⇒ y = 6.5x will be the equation.
The unit rate of the function is y/x = $6.5/hour.
Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".
For more information about the graph of a function
brainly.com/question/27757761
#SPJ2
The segments shown below could form a triangle.
A. True
B. False
Answer:
the answer is true :A
select all values that make the equation true 2(x-8)=x+5x
x= -4
x= -16
x= -2
x= -0
Answer:
x = -4
Step-by-step explanation:
2(x-8)=x+5x
Combine like terms
2(x-8) = 6x
Divide by 2
2(x-8)/2 = 6x/2
x-8 = 3x
Subtract x from each side
x-8-x = 3x-x
-8 = 2x
Divide by 2
-8/2 = 2x/2
-4 =x
PLEASE HELP! IM IN 8TH AND I NEED SOMEONE TO EXPLAIN <3
Answer:
can u help me then i will help u:/
Step-by-step explanation:
Answer:
y=10x+35
so for 4 yoga classes, it is $75
so for 8 yoga classes, it is $115
so for 12 yoga classes, it is $155
Step-by-step explanation:
So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35
Explanation for 4 yoga classes: y=10(4)+35 which is 75
Explanation for 8 yoga classes: y=10(8)+35 which is 115
Explanation for 12 yoga classes: y=10(12)+35 which is 155
Hope this helps!
Which ordered pair is a solution and f the equation? y-3=5(x-2)
Answer:
135=
3=5−10
Step-by-step explanation:
im not good at this but my mom said to try so i its not right
Which statements below are TRUE about perpendicular lines? I. Perpendicular lines intersect II. Perpendicular lines create right angles III. Perpendicular lines are collinear IV. Perpendicular lines never intersect V. Perpendicular lines are coplanar
Answer:
Step-by-step explanation:
Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°
Since they are inclined at 90° to each other, hence they create right angles.
The lines can also lines on the same plane to form a right angles. This are called coplanar lines.
From the above explanation, the following are true;
I) Perpendicular lines intersect
II) Perpendicular lines create right angles
V) Perpendicular lines are coplanar
They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.
11. A car is travelling at the average speed of 50 km/hr. How much distance would it travel in
1 hour 12 minutes?
What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP
a)1/2
b)-1/2
c)2
d)-2
e)3/2
Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]
y1/x1 represents the first number in the bracket
y2/x2 represents the second number in the bracket
Calculation
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]
m= 6/-12
m= -0.5 or -1/2
Therefore, the answer is B.
can 7in and 1lb be in the same unit
Answer:
Yes
Here you gooooooo
BRAINLIEST !!! HOW MANY BURGERS CAN YOU MAKE WITH 1 BILLION BURGERS ??
each cow can make 1,200 burgers !
explain
Answer:
Well if Your asking for burgers the question makes no sense but if your asking how many cows it takes to make 1 billion burgers it would be 833,333 or round it 833,334
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
Answer:
In an hour and 5 minutes
(or 60 seconds but it will only overlap for a second)
Explanation:
After 60 minutes it will be an hour and the clock will show 1o'clock, after 5 minutes, the minute hand will be at the "1" so they will over lap at 1:05
Answer: 5.45
(the way I solved it is in the picture)
The ratio y/x is called the all of these EXCEPT which one?
1. Unit Rate
2. Constant of proportionality
3. multiplicative inverse
4.constant multiplier
AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. if i rent a car and drive 25 miles, how much will I have to pay?
Answer:
$74.74
Step-by-step explanation:
$49.99 + $0.99 (25) =
$74.74
is 48 a perfect cube? why?
Answer:
yes, because it is an even number
Step-by-step explanation:
Answer:
So the square of 48 is not perfect square
Step-by-step explanation: