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4 years ago

A mathematical phrase involving numbers and operation symbols but not variables

1 answer:

5 0

That would be the definition of a numerical expression.

An algebraic expression, on the other hand, would have variables.

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The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Als

Scrat [10]

Basing on the table, in each row, if you divide the cost by the number of people, all of them will yield 55. This means that each person, whether as an individual or in a group, must pay $55 in order to rent a fishing charter boat.

The answer is letter D.

3 0

4 years ago

One number is 2 more than 3 times another. Their sum is 22. Find the numbers.

ivolga24 [154]

Make a system of equations.

$\sf~x=3y+2$
$\sf~x+y=22$

Re-arrange the 2nd equation:

$\sf~x+y=22$

Subtract y to both sides:

$\sf~x=-y+22$

Plug in -y + 22 for 'x' in the first equation.

$\sf~x=3y+2$

$\sf~-y+22=3y+2$

Subtract 3y to both sides:

$\sf~-4y+22=2$

Subtract 22 to both sides:

$\sf~-4y=-20$

Divide -4 to both sides:

$\sf~y=\boxed{\sf5}$

Plug this into any of the two equations to find 'x':

$\sf~x+y=22$

$\sf~x+5=22$

Subtract 5 to both sides:

$\sf~x=\boxed{\sf17}$

So one of the numbers is 5 and one of them is 17.

6 0

3 years ago

How does the graph y=-6x^2 -4 different from y=-6^2

Aloiza [94]

Answer: $y=-6x^2$ never touches the y-axis

$y=-6x^2-4$ touches the y-axis at -4

Step-by-step explanation:

Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis

4 0

3 years ago

Wasim's mom asks him to clean his room every 6 days, and wash his windows every 15 days. If he does them both today, when is the

White raven [17]

Answer:

30 days

Step-by-step explanation:

We solve the above question using Lowest Common Multiple Method.

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 6:

6, 12, 18, 24, 30, 36, 42

Multiples of 15:

15, 30, 45, 60

Therefore,

LCM(6, 15) = 30

Therefore, the NEXT time he will be cleaning his room and washing his windows on the same day is in 30 days time

6 0

3 years ago

two planes, which are 1965 miles apart, fly toward each other. their speeds differ by 55mph. if they pass each other other in 3

Alexus [3.1K]

The speed of the planes are 300 miles per hour and 355 miles per hour.

<u>Solution:</u>

Given, Two planes are 1965 miles apart, flying toward each other.

Their speeds differ by 55 mph.

They pass each other in 3 hours,

We have to find what is the speed of each?

Let the speed of 1st plane be s miles per hour, then speed of the other plane will be s + 55 miles per hour.

And, distance travelled by 1st plane be d, then distance travelled by other plane will be 1965 – d miles

Now, we know that, distance = speed $\times$ time

So, for 1st plane ⇒ $\mathrm{d}=\mathrm{s} \times 3$

For 2nd plane ⇒ $1965-d=(s+55) \times 3$

By using 1st plane equation

1965 – 3s = 3s + 165

1965 – 165 = 3s + 3s

6s = 1800

s = 300

So, speed of 1st plane is 300 miles per hour, then speed of 2nd plane will be 300 + 55 = 355 miles per hour.

Hence, the speed of the planes are 300 miles per hour and 355 miles per hour.

4 0

4 years ago