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Lubov Fominskaja [6]

2 years ago

15

A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car

s that each take one driver and four passengers. If there are five drivers in the group, how many ways can they travel to the concert?

1 answer:

trapecia [35]2 years ago

7 0

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

$5\times 4\times 3\\\\=60$

Hence, there are 60 ways that they can travel to the concert.

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Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o

zhuklara [117]

Answer:

Therefore, we use the linear depreciation and we get is 17222.22 .

Step-by-step explanation:

From Exercise we have that is boat $250,000.

The straight line depreciation for a boat would be calculated as follows:

Cost boat is $250,000.

For $95,000 Deep Blue plans to sell it after 9 years.

We use the formula and we calculate :

(250000-95000)/9=155000/9=17222.22

Therefore, we use the linear depreciation and we get is 17222.22 .

8 0

2 years ago

It takes Evan 6 3/4 hours to mow 3 lawns. it takes him 2 1/3 hours to mow Mr. Smiths yard and 1 3/4 hours to mow Ms. Lee's yard.

Ratling [72]

Answer: $2\frac{2}{3}\ hours$

Step-by-step explanation:

Given: The total time taken by Evan to mow the 3 lawns = $6\frac{3}{4}=\frac{27}{4}\ \text{hours}$

Time taken by Evan to mow the first lawn = $2\frac{1}{3}=\frac{7}{3}\ \text{hours}$

Time taken by Evan to mow the second lawn = $1\frac{3}{4}=\frac{7}{4}\ \text{hours}$

Now,Time taken by Evan to mow the third lawn = $\frac{27}{4}-\frac{7}{3}-\frac{7}{4}$

⇒Time taken by Evan to mow the third lawn = $\frac{81-28-21}{12}$

⇒Time taken by Evan to mow the third lawn = $\frac{32}{12}=\frac{8}{3}=2\frac{2}{3}\ hours$

Hence, the time taken by Evan to mow the third lawn = $2\frac{2}{3}\ hours$

7 0

2 years ago

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conf

notka56 [123]

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

6 0

2 years ago

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.

Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

$AB=\sqrt{(4-1)^2+(1-1)^2}=3$

You know that A'B'=6, then the scale factor of dilation can be calculated with:

$k=\frac{A'B'}{AB}$

Substituting values, you get:

$k=\frac{6}{3}\\\\k=2$

This matches with the option C.

8 0

2 years ago

Read 2 more answers

vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangula

irina1246 [14]

Answer:

<em>5,598 cans are required to empty the vessel</em>

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

$V = \pi r^2h$

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

$V_1 = \pi 1.4^2*1.5$

$V_1=9.236\ m^3$

Converting to cubic cm:

$V_1=9.236*1,000,000\ cm^3$

$V_1=9,236,282\ cm^3$

The volume of each rectangular tin can is:

$V_2=33*10*5=1,650\ cm^3$

$V_2=1,650\ cm^3$

The number of cans required to empty the vessel is:

$V_1/V_2=9,236,282/1,650 = 5,598$

5,598 cans are required to empty the vessel

5 0

2 years ago