6 bananas are to be selected from a group of 8. In how many ways can this be done

What is the slope of the original line?

Zina [86]

Answer:

What is the slope of the original line? -1.

What is the equation of the line that is parallel to the given line and passes through the given point? y + 3=-1 (x+3)

7 0

3 years ago

Read 2 more answers

A Lamborghini veneno and a ford pinto leave cities 1040 miles apart, speeding towards each other, The veneno’s speed is 180 mile

Kisachek [45]

Answer: The speed of the veneno is 220 miles per hour.

Step-by-step explanation:

We have the relation:

distance = speed*time.

We can model this situation as:

The cars will pass eachother when the sum of their distances traveled in the given time, 4 hours, is equal to the initial separation between them, 1040 miles.

So we have:

Sv = speed of the veneno.

Sp = speed of the pinto.

Sv*4hours + Sp*4hours = 1040 miles.

Now, we know that:

Sv = Sp + 180mph.

We want to find the speed of the veneno, so we should write:

Sp = Sv - 180mph.

Then we can replace this in our equation as:

Sv*4h + Sp*4h = 1040mi

(Sv + Sp)4h = 1040mi

(Sv + (Sv - 180mph))*4h = 1040 mi

(2*Sv - 180mph)*4h = 1040mi

2*Sv*4h - 720mi = 1040mi

Sv*8h = 1040mi - 720mi = 1760mi

Sv = 1760mi/8h = 220 mi/h

The speed of the veneno is 220 miles per hour.

3 0

3 years ago

The Jackson family plans to travel to the beach for summer vacation. The family spends $67.50 for 23 gallons of gasoline. The di

erik [133]

Answer:

$1,029 on the trip.

Step-by-step explanation:

$67.50/23 = $2.94 per gallon

350 × $2.94 = $1,029

4 0

2 years ago

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

3 years ago

Can someone please put these in order from least to greatest? Thanks

Virty [35]

Answer:

Luna wanna play among us with me (sorry I’m bored) the code is: PXQMKF

Step-by-step explanation:

3 0

3 years ago