A group of 24 people need transportation from a hotel to a concert. They will be picked up by Uber drivers that can fit 4 passengers in their compact car and 6 passengers in their SUV’s. You would like to determine how many compact cars and SUVs could be used to transport the entire group. Let x = the number of compact cars and let y = the number of SUV's.
Write and graph an equation that models the situation.
Answers
Answer:
Step-by-step explanation:
Compact cars:
24 divided by 4 = 6
6 cars for 24 people
SUV's:
24 divided by 6 = 4
4 SUV's for 24 people
Answer:
[tex]4x+6y=24[/tex]
See below for graph.
Step-by-step explanation:
A total of 24 people need to be transported.
Let x represent the number of Uber compact cars.
And let y represent the number of SUVs.
So, the number of people that can be picked up by x compact cars is 4x.
And the number of people that can be picked up by y SUVs is 6y.
And the total is 24 people. So, the two terms must total 24. So, we can write:
[tex]4x+6y=24[/tex]
We can convert this to slope-intercept form. First, we can divide everything by 2:
[tex]2x+3y=12[/tex]
Subtracting 2x from both sides yields:
[tex]3x=-2x+12[/tex]
Finally, dividing both sides by 3 yields our linear equation:
[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]
Please refer to the below attachment for the graph.
*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.
**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.
Related Questions
Solve the question using Triangle Similarity Theorem.
Answers
3x=30
x=10
Which fraction is not equivalent to 7/8?
A. 21/24
B. 35/40
C. 15/16
D. 28/32
Hlep pls
Answers
Answer:
15/16
Step-by-step explanation:Because - 7×2=14×
8×2=16=16✓
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answers
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
A triangle has three vertices located at A(-1, 2), B(-1, 5), and C(-4, 2). List the ordered pairs of the triangle after it has been translated four units to the right, reflected over the x-axis, and then rotated 90oclockwise about the origin.
Answers
Answer:
A’ is (-2,-3)
B’ is (-5,-3)
C’ is (2,0)
Step-by-step explanation:
We have three operations to perform;
a) translate 4 units right
means that we add 4 to the x-coordinate
b) Reflect over x-axis
If we reflect over x-axis;
(x,y) becomes (x,-y)
c) Rotate 90 degrees clockwise
(x,y) becomes (y,-x)
We have the following as the solution;
A( - 1,2)
Add 4 to x-coordinate
(3,2)
Reflect over x-axis
(3,-2)
Rotate 90 degrees clockwise
(-2,-3)
for B (-1,5)
Add 4 to x-coordinate
(3,5)
Reflect over x-axis
(3,-5)
Rotate
(-5,-3)
C; (-4,2)
Add 4 units to x-axis
(0,2)
Reflect
(0,-2)
Rotate
(2.0)
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters is 25% of the large bottle?
Answers
Multiply 500 by .25 or 25% to het your answer
Answer:
The other answer is wrong
Step-by-step explanation:
Because it said that on my test...
answer the question and ill mark you brainliest!
Answers
he is yes
also i have a question, could you do me a favor?
can you answer this question just say anything bc this persoon wants to give me brainliest pls help us out https://brainly.com/question/26025079
a moving company charges $0.40 per pound. a family estimates that their belongings weight 3 tons. about how much would it cost the family to move their belongings?
Answers
Answer:
$2,400
Step-by-step explanation:
3 tons equals 6000 pounds
6000*0.40= $2,400
Find the slope (if defined) of the line that passes through the given points. (-1, 6) and (5, 5)
Answers
The solution for your question is-1/6
Answer:
- 1/6
Step-by-step explanation:
Use the following equation to calculate slope between two points:
( Y2 - Y1 ) / ( X2 - X1 )
What's Y2? Y1? X2? X1?
( -1, 6 )
-1 = X1
6 = Y1
( 5, 5 )
5 = X2
5 = Y2
So when we plug in those numbers:
5 - 6 = - 1
5 - (-1) = 6
- 1/6
Ahmed works in a factory his normal rate of pay is £12.00 per hour When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answers
Answer:
Answer is in photo
find the two angles and show work!!!
Answers
Answer:
x=23.5
Step-by-step explanation:
90=25-x/2+18
combine like terms
90=43-x/2
subtract 43 from both sides
47= -×/2
47/2= 23.5
x=23.5
or
90-25= 65
65-18=47
47/2=23.5
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answers
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
The expression 15 n + 5 n + 5 Which is another way to write this expression?
Answers
Answer:
cbdkkdfn
Step-by-step explanation:
bfnsowifnccvl
Answer:
Ok
Step-by-step explanation:
(15n+5n)+5
Please helppppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
BH = 16
Step-by-step explanation:
The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.
That means that BH is 2/3 of the length BF.
BH = (2/3)(BF)
BH = (2/3)(24)
BH = 16
Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3
Answers
The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
[tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]
We have to calculate function value when [tex]x=3[/tex].
[tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]
Thus, the function value of given function at x = 3 is 63.
Learn more about the function value here:
https://brainly.com/question/875118
the math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel
A.300 feet
B.400feet
C.500feet
D.700feet
Answers
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
To find:
The actual distance between first and second ride.
Solution:
Distance formula: Distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get the distance between first ride and second ride in the map is
[tex]d=\sqrt{(3-0)^2+(0-4)^2}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
So, the distance between first ride and second ride in the map is 5 units.
We have,
1 units = 100 ft
5 units = 500 ft
The actual distance between first and second ride is 500 ft.
Therefore, the correct option is C.
2 more because im going broke lol
Answers
You uncle wants the ratio of flowers and vegetables
planted his garden to be 3 flowers: 4 vegetables. He
has space for 91 plants. How many flowers should he
plant?
Answers
Answer:
39 flowers
Step-by-step explanation:
there are 7 parts
1 part is 13
3 parts is 39
Which of the following expressions are equivalent to 7.2 ÷ -8.1 ÷ -3.7?
Choose all answers that apply:
A. −7.2÷−8.1÷−3.7
B. −7.2÷8.1÷3.7
C. None of the above
Answers
Step-by-step explanation:
7.2 / (-8.1) / (-3.7) = Positive
A = (-7.2) / (-8.1) / (-3.7) = Negative
B = (-7.2) / (8.1) / (3.7) = Negative
Hence the answer is C, none of the above.
Answer: C
Step-by-step explanation: Khan
Please explain your answer and show your work
Answers
9514 1404 393
Answer:
A. 6b³
B. 6b +6
C. p = 0.0375(6b³ +b +1)
D. $115.54
Step-by-step explanation:
Given:
3 candles with dimensions b×b×b, b×b×2b, and b×b×3b
with wicks of lengths b+2, 2b+2, 3b+2
wick costs $0.005/cm; wax costs $0.03/cm³
selling price is material cost + 25%
Find:
A. an expression for total volume
B. an expression for total wick length
C. an expression for the purchase price of a set
D. purchase price for a set with base area 64 cm²
Solution:
A. The sum of the volumes of the three candles is ...
v = b³ +2b³ +3b³
v = 6b³
__
B. The sum of the wick lengths is ...
L = (b +2) +(2b +2) +(3b +2)
L = 6b +6
__
C. The selling price is 25% more than the cost of materials so is ...
p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375
p = 0.0375(6b³ +b +1)
__
D. The side of the base is the square root of the base area, so is ...
b = √(64 cm²) = 8 cm
Then the price of a set of candles is ...
p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54
Purchase price for a candle set with a base area of 64 cm² is $115.54.
Step by step how do you solve ratios and proportions?
Answers
Answer:
A proportion is an equality of two ratios.
...
Things to remember
Determine whether the ratio is part to part or part to whole.
Calculate the parts and the whole if needed.
Plug values into the ratio.
Simplify the ratio if needed. Integer-to-integer ratios are preferred.
what is 8:6 simplified
Answers
Answer:
4:3
Step-by-step explanation:
8/2=4
6/2=3
Answer:
its 43, or if your talking about fractions its 4/3
Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario
Answers
Answer:
8 months
Step-by-step explanation:
Given that:
Amount of money present in the bank account = $2,571.68
Automatic monthly rental payments for car loan = $321.46
Any deposits in the bank account are stopped.
To find:
The number of months taken so that the automatic payments make the value of the account as zero?
Solution:
Let the number of months taken to make the value of the account zero = [tex]m[/tex] months
To find the value of [tex]m[/tex], we need to divide the total amount initially present in bank account with the monthly rental payment amount.
Therefore, the equation to find the value of [tex]m[/tex], can be written as:
[tex]m = \dfrac{2571.68}{321.46}[/tex]
On solving the above equation, we get the value as following:
[tex]\bold{m=8}[/tex] months
if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1
can u plz telll the ans
Answers
Answer:
[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]
Step-by-step explanation:
The value of x is given:
[tex]\displaystyle x= \frac{(4/5)^{-2}}{(1/4)^2}[/tex]
We need to find:
[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]
Operating:
[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]
Squaring:
[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]
Multiplying:
[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]
Eugene ate 20% of the Christmas cookies his
grandmother made. If he ate 8 cookies, how
many are left?
Answers
Answer:
40 is the total amount of cookies
32 is the amount left
Step-by-step explanation:
If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20
8 × 100 ÷ 20 = 40
x/y * 26 = 65
quick!!!
Answers
Step-by-step explanation:
x/y×26=65
26x/y/26=65/26
x/y=65÷26
x/y=2.5
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100 subscribers. This month, 303030 new members joined the website, and 101010 members cancelled their subscription.
How much money will Kiersten’s online business earn this month?
\$
Answers
Answer:
$1200
Step-by-step explanation:
Given that:
Monthly subscription fee = $10
Last month's subscribers = 100
THIS MONTH:
New subscribers = 30
canceled subscriptions = 10
Hence,
Total number of subscribers this month :
(Last month subscription + new subscriptions - canceled subscriptions)
(100 + 30 - 10) = 120 subscriptions this month
Hence, amount earned this month will be :
(Total subscriptions this month * monthly subscription fee)
120 * $10 = $1200
Question
Precious bought 4į gallons of milk for $22. How much is one gallon of milk?
Answers
Answer:
5, remainder 2
Step-by-step explanation:
22 divided by 4 is 5 and remainder 2
divide both sides by 4
j = 5.5
please help!
Find x so that a || b
Answers
For number 2 do the same thing as number 1
96 + (6x -30) = 180 degrees
for number 3: (6x - 30) = 84
for number 4: (7x + 5) = 33 degrees
A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off. What is the price of the computer on
Black Friday? Please show your work and don’t forget the unit! Please round your answer to the nearest cent.
PLSSSS HELPPPP
Answers
Answer:
249.99-15%=212.49
Step-by-step explanation:
I did this yesterday
Brainliest me pls
Have a nice Day! <3
Answer:
$212.49
Step-by-step explanation:
You would divide 249.99 by 100 then multiply that by 85 becuase that is 15 less than 100 and makes it 15% less
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get
Answers
9514 1404 393
Answer:
8 years: Rs. 649 years: Rs. 7210 years: Rs. 80Step-by-step explanation:
The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...
216/27 = 8 . . . Rs
Then age 8 gets 8(Rs. 8) = Rs. 64
age 9 gets 9(Rs. 8) = Rs. 72
age 10 gets 10(Rs. 8) = Rs. 80