A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented twice as many large cars as small cars, which altogether can hold 48 people. Graphically solve a system of equations in order to determine the number of small cars rented, x,x, and the number of large cars rented, yy.

Answers

Answer 1

Answer:

The students rented 3 small cars and 6 large cars.

Step-by-step explanation:

Since a group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip, and each small car can hold 4 people and each large car can hold 6 people, and the students rented twice as many large cars as small cars, which altogether can hold 48 people, to determine the number of small cars rented, X, and the number of large cars rented, Y, the following calculation must be performed:

4X + 6Y = 48

4x4 + 6x8 = 16 + 48 = 64

4x3 + 6x6 = 12 + 36 = 48

Thus, the students rented 3 small cars and 6 large cars.


Related Questions

Please help!

Goes through the points (1, 11) and (1, -2)

Use the slope formula

Y2 - Y1
m=————-
X2 - X1

Answers

The answer is undefined. After plugging the points in you get 13/0 which is undefined.

2 7/9 × 1 1/5 ÷ 2 1/2

Answers

Answer

5/36 ([tex]\frac{5}{36}[/tex])

Answer:

22/35

Step-by-step explanation:

27/9 = 3

3 × 11/5 ×2/21

=22/35

40 students where has their favorite shoe color
how many chose blue?

Answers

Answer:

8 students

Step-by-step explanation:

There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.

Please mark as Brainliest.

⚡✨

Which statement is true? pls help :)

Answers

Answer:

The First Choice

Step-by-step explanation:

1/4 is equal to .25

.25 x 4= 1.00

25 x 4= 100

(+6) ÷ (+2) =
answer choices
+12
+8
+4
+3
-3

Answers

Answer:

+3

Step-by-step explanation:

(+6) ÷ (+2)

=6/2

Divide the numbers; 6/2=3

=3

Hope this helped!!!

what is the are of this?

Answers

Answer:

Ok first of all you start out splitting the shape into seperate rectangles, in this case 2. take those 2 rectangles and find the area of them. Say we start from the smaller rectangle. 2 x 4 = 8 so the area of the smaller rectangle is 8. Keep that in mind. Next we have to multiply 10 x 5 because that is the labeled number of meters and that equals 50. So add 50 + 8 = 58

Step-by-step explanation:

Your answer is 58 meters

Really hope i helped and have a wonderful day! :)

Answer:

58 m³

Step-by-step explanation:

To find the area of irregular shapes like this, it is easy to split the shape into 2 individual shapes, find the area of both, then add the areas to find the total.

Now, we'll split it into 2 rectangles with areas of:

2 x 4

10 x 5

To find area, you multiply the length of one side by the other. The first rectangle's area is (2 x 4) and the other rectangle's area is (10 x 5).

10 x 5 = 50

2 x 4 = 8

50 + 8 = 58

The area of the figure is 58 m³.

Find the volume of a right circular cone that has a height of 18.5 in and a base with a diameter of 17.5 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

Step-by-step explanation:

volume of cone formula: V = 1/3 πr²h

r = 1/2 d

r = 1/2 (17.5)

r = 8.75 in

V = 1/3 (π8.75²)(18.5)

V = 1483.26 in²

For her birthday, Gale received $200. She would like to spend all or some of the money to take
guitar lessons. After an initial $50 fee to cover rental equipment, each guitar lesson will cost $25.
Write an inequality to determine how many lessons Gale could take using her birthday money.
Highlight your inequality in green. Then, solve the inequality.

Answers

Answer:

The inequality that can be used to determine the number of guitar lessons Gale could take using her birthday money is:

[tex]25x + 50 \leqslant 200[/tex]

The solution to the inequality is:

[tex]x \leqslant 6[/tex]

She can take at most, 6 guitar lessons

Step-by-step explanation:

Total amount Gale received is $200

For rental equipment, she paid $50

Each guitar lesson will cost $25

Let x represent the number of lessons she could take, then the total amount she will spend must bot exceed $200

The guitar lesson will cost a total of 25x

So, her total spending will be:

[tex]25x + 50[/tex]

This must be at most $200

[tex]25x + 50 \leqslant 20[/tex]

Solving the above inequality:

[tex]25x \leqslant 200 - 50 = 150[/tex]

[tex]x \leqslant \frac{150}{25} = 6[/tex]

Find the volume of the square pyramid. The work has been started for you.


V = 1

3

Bh


B = 6.5(6.5) = 42.25 m2

Answers

Complete question

A square pyramid. The square base has side lengths of 6.5 meters and the height of 6 meters.

What is the volume of the pyramid?

Answer:

84.5m³

Step-by-step explanation:

The volume of a square. Pyramid is given as :

V = 1/3 * base * height

Base = l² ; l = side length

Base = 6.5² = 42.25 m²

V = 1/3 * 42.25 * 6

V = 42.25 * 2

V = 84.5

The volume of square pyramid = 84.5m³

Kenzie will save 15% if she opens a credit card. She wants to buy a jacket for $120. How much will she save if she opens a credit card?​

Answers

Answer:

i think its 102 or 120-18

Step-by-step explanation:

i think cauee 10% of 120 is 12 and half of ten percent is 5 and 5% is 6

Answer:

she will save $18

Step-by-step explanation:

find 10% of the number. then find 5%. add the two answers together and you get $18.

10% of $120 = $12

5% of $120 = $6. (half 10%)

$12 + $6 = $ 18

Over which interval does f(t) have positive average rate of change?

A) -8,-2
B) -5,-1
C) -9,-8
D) 2,4

Answers

Answer:

D) 2,4

Step-by-step explanation:

The only answer with positive numbers

Answer:

D) 2,4

Step-by-step explanation:

Solve the following system of equations using elimination

Answers

Answer:

Well elimination is basically multiplying a number to make it possible for it to cancel out

We can multiply the first equation by 2

2(x+2y=-1)

This would be

2x+4y=-2

Its still the same thing but just with non simplified numbers

We can now do any method really to solve

I will just do the subtraction method

2x+4y=-2

-2x+y=4

Solve

2x-2x=0

4y-y= 3y

-2-4= -6

3y= -6

Now solve

y=-2

To find x subsitute in “y” and find ”x”.

x+2*-2=-1

x-4=-1

x=3

y= -2

x= 3

6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

3x + 2y = 4
X + 2y = -4
Notice the equations are NOT in slope-intercept form.
Rewrite them in slope intercept form y = mx + b.

Answers

3x + 2y = 4
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2

x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2

You place two wooden support beams under a shelf, as shown. Find the value of x

Answers

Answer:

17x

Step-by-step explanation:

so first 2x is 2 x x = 2x

then +10 =12x then 5 + x = 5x so 5x + 12x = 17x

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.

Answers

Answer:

22

Step-by-step explanation:

if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22

Answer pls it's due

Answers

wanna b my bestie :plead:

What is x abc def

A. 45
B. 60
C. 75
D. 30

Answers

Answer:

C

Step-by-step explanation:

C. 75

60 + 45 = 105
180-105= 75

therefore 75 is your answer


Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?

Answers

Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while

Jack can write it in 16 hours. How long will it take them to write the program together?

Answer: 9.6 hours

Please help me.
Please simplify it and group it in like terms.

3a+6+2a-4+a-2=​

Answers

Answer:

6a

Step-by-step explanation:

Answer:

6a

Step-by-step explanation:

3a+2a+a= 6a

6-4-2=0

6a+0=6a

please help, tysm if you do :D

Answers

Answer:

3c + 14d

Step-by-step explanation:

Hello There!

We can simplify this expression by combining like terms

Now what are like terms?

They are terms that have the same variable ex. 4a and 2a are like terms as they have the same variable (a)

Now lets look back at the expression and see if there are any like terms

which there are (4c and -c) and (6d and 8d)

so lets combine them

4c - c =3c

6d + 8d = 14d

so the simplified version would be 3c + 14d

Answer:

B) 3c+14d

Step-by-step explanation:

We use the addition property for the following question

First we rearrange the following problem and we get

4c-c+6d+8d

The easiest way is to just add and subtract or if you want have a better understanding, you can factor our the like terms which gives us

(4-1)c+(6+8)d

and then we can simplify to get

3c+14d

Trigonometry, please answer ASAP, Convert the radian measure to degrees.
12

Answers

Um can u attach a photo of the question bc no one can see it

Answer:

687.549 deg

Step-by-step explanation:

12 rad = 687.549 deg

The inverse of the function f(x) = { x + 10 is shown.
h(x) = 2x-0
What is the missing value?
O 1
O 5
O 10
O20

Answers

Answer:

D) 20

Step-by-step explanation:

the missing value is 20

the last option

The equation h(x) = 2x - 0 = x - 10 is satisfied by the value x = -10; the omitted integer is 10.

What is a function?

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables. The independent variable's value and the dependent variable's value both change in the function.

Determine x in terms of f(x) in order to determine the inverse of the function f(x) = x + 10:

f(x) = x + 10

f(x) - 10 = x

x = f(x) - 10

Since h(x) is the opposite of f(x), replace x with h(x):

h(x) = f⁻¹(x) = x - 10

Since h(x) is the opposite of f(x), replace x with h(x):

To identify the missing value, compare the expression for h(x) to the supplied function, h(x) = 2x-0. We can see that the appropriate expression for h(x) is:

h(x) = 2x - 0 = x - 10

Find the value of x that allows this equation to be solved:

2x - 0 = x - 10

Simplifying and solving for x,

x = -10

Therefore, the missing value is O 10, since x = -10 satisfies the equation h(x) = 2x - 0 = x - 10

To know more about function follow

https://brainly.com/question/18465990

#SPJ7

82,78,86,82,94,84,90.What is the mode

Answers

the mode will be 82!! hope this helps

Answer:

82 ☺️

Step-by-step explanation:

True or False: When conducting a survey of a group of people, you must interview every person in that population A Truc B False​

Answers

A. its true.........

The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?

Answers

Answer:

That one

Step-by-step explanation:

It's kinda obvious if you look at the choices.

Answer:

8+14

Step-by-step explanation:

You spin the spinner twice what is the probability of landing on a three and then landing on a number greater than three

Answers

Answer:

2/4

Step-by-step explanation:

picture is shown !

Complete the remainder of the
table for the given function rule:
y = -2x + 9

please help

Answers

It should be 17, 26, 35, 44, 53

Answer:  17; 13; 9; 5; 1

Step-by-step explanation:

y = -2x + 9

When x = -4, y = 17

When x = -2 , y = -2x + 9 = -2(-2) + 9 = 13

When x = 0 , y = -2x + 9 = -2(0) + 9 = 9

When x = 2 , y = -2x + 9 = -2(2) + 9 = 5

When x = 4 , y = -2x + 9 = -2(4) + 9 = 1

PLEASE HELP QUESTION IN PHOTO WILL GIVE BRAINLIST!

Answers

Answer:

13x degrees

Step-by-step explanation:

brainliest????!!!

match the answer to the equation

Answers

1: no solution

2: infinitely many solutions

3: one solution

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