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
Here are six number cards -4,-2,-1,5,6,8
arrange the cards into three pairs with the same total
Answers
Answer:
5 and 6 and -1
6 and 8 and -4
5 and 8 and -2 and -1
Step-by-step explanation:
They all add up to 10.
The trick is to first figure out if you can combine 5 6 or 8 together, then use the negative numbers to subtract as needed to reach you number. If you add 5 and 6, that is 11, but -1 can make 10. When you add 8 and 6, that is 14. But good thing you have the -4 to make 10. You start with the smallest number found from adding together two numbers from the positive pile like 5 and 6.
You can make other combinations as well. 11 could work too.
please click heart to give thanks :) c
The pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.
What is addition?Addition is a mathematical operation which used to count the things when are together. The addition of two positive integers are greater than both of them while for negative integers it is less than both of them.
Given that,
The different cards having numbers on them are as below,
-4, -2, -1, 5, 6, 8.
In order to select them into three pairs having the same sum make the pair as follows,
Add each positive number to each of the negative numbers and then select the pair of numbers having the same sum.
Thus, it is obtained as,
-4 + 8 = 4
-1 + 5 = 4
-2 + 6 = 4
Hence, the required pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.
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7 less than 1/4 of x is y.
!!!ANSWER ASAP!!!
Answers
Answer: y= 1/4x -7
Step-by-step explanation:
Identify the domain of the function shown in the graph.
Answers
Step-by-step explanation:
The domain of the function is the range of x-values, which is -5 <= x <= 5. (D)
Where is the circumcenter of this triangle located?
O at a vertex of the triangle
O outside the triangle
Thing
O on a side of the triangle
O inside the triangle
Answers
Answer:
I don't see a picture but the circumcenter is usually inside the triangle.
Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim purchase?
Answers
Because 25x6=150 and he spent 200 on the console and he spent 350 total so your answer is $150
Answer:
Tim purchased 6 video games.
Step-by-step explanation:
Let's set the number of games Time purchased as x.
Due to each game costing $25, the total amount of money used on buying games would be ($25)x.
Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:
[tex]\$25x + \$200 = \$350[/tex]
[tex]\$25x = \$(350 - 200)[/tex]
[tex]x = \frac{\$150}{\$25}[/tex]
[tex]x = 6[/tex]
Therefore, Tim purchased 6 video games.
Hope this helped!
A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?
Answers
Answer:
15%
Step-by-step explanation:
975-828.75/975
Answer:
There was a 15% mark down.
Step-by-step explanation:
975 x 0.15 (15%) = 146.25
828.75 + 146.25 = 975
Check Work:
975 - 146.25 = 828.75
please help :{
Jannie has a budget of less than $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many can she buy without going over the budget? *
Answers
Answer: She can buy 6 shirts
Step-by-step explanation: You subtract 95 from 240, which gives you 145 so you do 145/22.5 which will give you 6.4444 but you can't buy .44 of a shirt so you round down and you get 6.
Alex an make one sandwich in 45 seconds. If he made 34 sandwiches for the swim team, how many minutes would it take him?
Answers
Answer:
20 minutes
Step-by-step explanation:
34 times 45 secs equals 1190 secs,
since there is 60 secs in one minute you would divide,
1190/60 = 19.8333.. mins or 19 mins and 50 secs
Which set or sub set does \large \frac{24}{8} belong?
a
Integers only
b
Rational numbers only
c
Integers and Rational numbers only
d
Whole numbers, Integers, and Rational numbers
Answers
Answer:
rational numbers
Step-by-step explanation:
PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?
Answers
Step-by-step explanation:
4 bags of bananas for $22.52
=> 2 bags of bananas for $22.52 * 2/4 = $11.26.
Hence it would cost $11.26.
If you can answer that would be nice, thank you.
What type of angle is shown here?
Answers
Answer:
I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.
Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% of the bill, how much of the total bill will patti pay
Answers
Answer:
17% of the bill
Step-by-step explanation:
Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.
35 + 48 = 83%
now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.
100% - 83% = 17%
So Patti is paying 17% of the bill
If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17
45 x 0.17 = 7.65
So Patti is paying 7 dollars and 65 cents
I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!
Answers
Answer:
The answer is A
Step-by-step explanation:
If 2 bushels of corn weigh 112 lb, how much do 8.5 bushels of corn weigh?
Answers
Answer:
476 lb
Step-by-step explanation:
112/ 2 = 56
8.5 times 56
To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))
Answers
Answer:
Awwww
Step-by-step explanation:
Thank you! I hope you know that as well :). I really needed that today so thank you
What is the value of the expression below when z=3 and w =2
10z+ 5w
Answers
30 + 10
40
40 is your answer!
5 x 2 = 10
10+30= 40
The answer is 40
99-45f+36b in factored form
Answers
hope this helps
Does 4(x - 8) + 12 = 2(2x - 9) have one solution, no solution, or infinitely many solutions?
Answers
Answer:
no solution
Step-by-step explanation:
hope this helps =)
The given equation has no solution.
What is equation?
Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.
The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).
when we find out the solution,
4(x - 8) + 12 = 2(2x -9)
Multiply x with 4 and 2 according to the equation.
4x - 32 + 12 = 4x - 18
4x - 20 = 4x - 18
now, you can see this equation has no solution as the value of x cannot be determined.
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Pepay had 0.37 inches of yarn, Riza had 0.45 inch of yarn too. Their friend Lala asked to borrow 0.25 inch of yarn that they have. What is the length of the remaining yarn?
Answers
Answer:
0.57 inches was left
Step-by-step explanation:
Here, we start by calculating the total length of the yam they have
Mathematically, that will be 0.37 + 0.45 = 0.82 inch
Now, to get what is remaining, we subtract what was borrowed
Mathematically, that is 0.82-0.25 = 0.57 inches
Algebra 1
please explain if you can :)
Answers
Answer:
hey loser we meet hahh
your good but sorry i can say good but not very good cause its not true hah
Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)
Answers
Answer:
16.4
Step-by-step explanation:
4(5.5 + 6) - 3(6 + 4)
4(11.6) - 3(10)
46.4 - 30
16.4
Answer:
The answer is 16.
Step-by-step explanation:
4(x+6)−3(y+4)
=4x+24-3y-12
=4(5.5)+24-3(6)-12
=22+24-18-12
=46-30
=16
A transportation agency has one 37-seater bus and some 12-seater buses. They have enough seats to board no more than 435 passengers on their buses. Which inequality represents the possible number of 18-seater buses they have.
A:37x+12 435
C:37x+12>435
D:37+12x<435
Answers
Answer:
I think its D
Step-by-step explanation:
Describe and correct the error made in finding BC in the diagram Shown. (Hint: It is an Isosceles triangle)
Answers
Answer:
BC = 5
Step-by-step explanation:
Since it is an isosceles, it is the base angles that are equal
Since the base angles are equal, then the sides facing these angles are equal
Mathematically, what we are supposed to have as equals should be AB and BC since they are the sides facing the base angles
Thus, BC should be 5
Find the explicit formula for 15, 12, 9, 6,
A. a= 3n - 18
B a, = -3n + 18
C a. = 3n + 18
D. a= -3n - 18
Answers
Answer:
D
Step-by-step explanation:
I need help on this....
Answers
its a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
A linear function's standard form is represented by the equation
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept(where the line crosses the y-axis).
So if a function has a slope of 7/2 which is the value of m and crosses the y-axis at 9 which is the value of b then the equation would be
[tex]y=mx+b\\y=\frac{7}{2}x+9[/tex]
So option A is our answer
PLEASE PLEASE HELP MEEEE!!!!
Answers
Answer:
The answer is D) f(x) = 1/3 x^2 -1
Step-by-step explanation:
the key is at the end, the minus 1
Answer:
The answer is D!
Step-by-step explanation:
A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
the cylinder.
Answers
Formula for the cylinder = V=πr2h
Formula for the cone = 1/3πr²H
Description:
So if the cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.
Formula:
Vcone = 3Vcone
Vcylinder = 360cm³
Vcone = 1/3 360cm³ = 120cm³
Answer: 120cm³
Hope this helps.
A 25 -pound bag of dog food costs $20.25 A35 -pound bag of the same dog food costs $27.65 Which bag of dog food is the better buy?
Answers
Answer:
The 35 pound bag
Step-by-step explanation:
If you divide the price of the 25 pound bag by the number of pounds it has you get 0.81 dollars per pound
20.25 / 25 = 0.81
However if you divide the price of the 35 pound bag by the number of pounds it has you get 0.79 dollars per pound
27.65 / 35 = 0.79
This means you get more dog food for less in the larger 35 pound bag
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
Answers
Hope this helps
Have a happy holidays
The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the start
Answers
Answer:
256
Step-by-step explanation:
