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.

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.

9514 1404 393

Answer:

Step-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

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.

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

The function value of given function at x = 3 is 63.

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

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

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

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

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%

Answer:

The other answer is wrong

Step-by-step explanation:

Because it said that on my test...

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

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

Answer:

Answer is in photo

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

Answer:

39 flowers

Step-by-step explanation:

there are 7 parts

1 part is 13

3 parts is 39

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

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)

Answer:

5, remainder 2

Step-by-step explanation:

22 divided by 4 is 5 and remainder 2

Answer:

cbdkkdfn

Step-by-step explanation:

bfnsowifnccvl

Answer:

Ok

Step-by-step explanation:

(15n+5n)+5

Step-by-step explanation:

x/y×26=65

26x/y/26=65/26

x/y=65÷26

x/y=2.5

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

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.

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]

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

Answer:

$2,400

Step-by-step explanation:

3 tons equals 6000 pounds

6000*0.40= $2,400

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

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

Answer:

15/16

Step-by-step explanation:Because - 7×2=14×

8×2=16=16✓