A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.Which complex fraction represents the unit rate in miles per hour

Density can be defined as:

Where:

m is mass

V stands for volume

To isolate the mass, we derive:

Volume can be expressed as:

We then use the following conversion:

After applying the conversion, we arrive at:

Additionally, we have these conversions:

When we apply these conversions for density, we conclude:

Finally, the mass of the water required is:

Answer:

A total of 1190 kilograms of water is needed to fill the waterbed.

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)

Answer:

- 8

Step-by-step explanation:

Given the expression

(3x² - 5)(4 + 4x²)

Each term from the second factor is multiplied by every term in the first factor, meaning

3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses

= 12x² + 12 - 20 - 20x² ← combine like terms

= 12 - 8x² - 20

The coefficient for the x² term is - 8

Answer:

The length of each individual chain link is calculated as 5.33 cm.

Step-by-step explanation:

Initial data: the chain consists of 1000 links

the overall length recorded is 0.0533km.

1km = 1000m

1m = 100cm, thus 1km = 100000cm

So, the total length in centimeters = 0.0533* 100000

Total length in cm = 5330 cm

To find out the length of a single chain link, we do:

length of one chain link = 5330/1000

Thus, the length of a single chain link equals 5.33 cm.

Answer:

The total price for one loaf of bread combined with one package of cheese is $6.5.

Step-by-step explanation:

Given:

Mason purchased 6 loaves of bread and 3 cheese packages for a total of $27.

The price of one cheese package exceeds the price of one loaf of bread by $1.50.

To find: The sum cost of a single loaf of bread plus one cheese package.

Solution:

Let the price per loaf of bread be $x.

The cost for 6 loaves is $6x.

Let the price per cheese package be $y.

The cost for 3 cheese packages is $3y.

We know the total for both is $27:

6x + 3y = 27  ----(A)

Also, the cheese package costs $1.50 more than a loaf of bread:

y = x + 1.50 ----(B)

Using substitution, plug (B) into (A):

6x + 3(x + 1.50) = 27

6x + 3x + 4.5 = 27

9x + 4.5 = 27

9x = 22.5

x = 2.5

Therefore, the price of one loaf of bread is $2.5.

Now substitute $2.5 for x in (B):

y = 2.5 + 1.50 = 4

So, one cheese package costs $4.

Hence, the combined price is $2.5 + $4 = $6.5

Therefore, the combined cost of one loaf of bread and one package of cheese equals $6.5.