Ask question

Ask question

All categories

2 years ago

9

3. There are about 1.61 kilometers in 1 miles. Let x represent a distance measured in kilometers and y represent the same distan

ce measured in miles. Write two equations that relate a distance measured in kilometers and the same distances measured in miles.

2 answers:

WINSTONCH [101]2 years ago

5 0

We have been given that there are about 1.61 kilometers in 1 miles.

Let x represent a distance measured in kilometers and y represent the same distance measured in miles.

We can set two equations from the given information as:

$x=\frac{1}{1.16}*y$ (Number of kilometers in terms of number of miles)

$y=1.61*x$ (Number of miles in terms of number of kilometers)

Therefore, $x=\frac{1}{1.16} y$ and $y=1.61*x$ will be our equations.

ArbitrLikvidat [17]2 years ago

3 0

Answer:

1.61

Step-by-step explanation:

You might be interested in

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

vampirchik [111]

<span>The <u>correct answer</u> is:

This is the average number of days the house stayed on the market before being sold for $150,000.

Explanation<span>:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.

This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.</span></span>

4 0

2 years ago

Read 2 more answers

11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c

raketka [301]

probability that a dessert sold at a certain cafe contains chocolate is 86%.

The probability that a dessert containing chocolate also contains nuts is 30%.

Find the probability that a dessert chosen at random contains nuts given that it contains chocolate

P(nuts given chocolate) = .30/.86 = .349 or 34

6 0

2 years ago

The sport of korfball is played by teams of eight players. Each team has fourmen and four women on it. Halliday High School has

Alex Ar [27]

Answer:

There are 11550 possible selections

Step-by-step explanation:

Given

$Men = 7$

$Women = 11$

Required

How many ways can 4 men and 4 women be selected

The keyword in the question is SELECTION and it means COMBINATION;

So, number of selection is:

$Number = Men * Women$

$Number = ^7C_4 * ^{11}C_4$

This gives

$Number = \frac{7!}{(7-4)!4!} * \frac{11!}{(11-4)!4!}$

$Number = \frac{7!}{3!4!} * \frac{11!}{7!4!}$

$Number = \frac{7 * 6 * 5 * 4!}{3!4!} * \frac{11 * 10 * 9 * 8 * 7!}{7!4!}$

$Number = \frac{7 * 6 * 5}{3!} * \frac{11 * 10 * 9 * 8}{4!}$

$Number = \frac{7 * 6 * 5}{3 * 2 * 1} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = \frac{7 * 6 * 5}{6} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = 7 * 5 * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}$

$Number = 7 * 5 * \frac{7920}{24}$

$Number = 7 * 5 * 330$

$Number = 11550$

Hence;

<em>There are 11550 possible selections</em>

6 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

steposvetlana [31]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

5 0

2 years ago

Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).

poizon [28]

Answer:

C)

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

=4(81) +5(-27) -15(9) -45

= 324 - 135 - 135 -45

=9

6 0

2 years ago

Read 2 more answers