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3 years ago

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Mathematics

1 answer:

zloy xaker [14]3 years ago

6 0

Answer:

The statement, one fifth of the square of a number is written as

$\frac{1}{5} {x}^{2}$

Hope this helps you

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Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent

docker41 [41]

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

$2(x-3)=2x-6$

Then, by evaluating it, you would get:

$2x-6=2x-6$ by distribution over subtraction.

$2x-6+6=2x-6+6$ by the additive property of equality

$2x=2x$ Simplify.

$x=x$ by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

4 0

3 years ago

Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form

agasfer [191]

Answer:

The equation of the line would be y = 5x - 28

Step-by-step explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28

7 0

3 years ago

Three dice are rolled. Let the random variable x represent the sum of the 3 dice. By assuming that each of the 63 possible outco

tamaranim1 [39]

<h3>Answer: 1/8</h3>

In decimal form, 1/8 = 0.125 which converts to 12.5%

==================================================

Work Shown:

The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.

Here are all of the ways to add to 11 if we had 3 dice

sum = 1+4+6 = 11
sum = 1+5+5 = 11
sum = 1+6+4 = 11
sum = 2+3+6 = 11
sum = 2+4+5 = 11
sum = 2+5+4 = 11
sum = 2+6+3 = 11
sum = 3+2+6 = 11
sum = 3+3+5 = 11
sum = 3+4+4 = 11
sum = 3+5+3 = 11
sum = 3+6+2 = 11
sum = 4+1+6 = 11
sum = 4+2+5 = 11
sum = 4+3+4 = 11
sum = 4+4+3 = 11
sum = 4+5+2 = 11
sum = 4+6+1 = 11
sum = 5+1+5 = 11
sum = 5+2+4 = 11
sum = 5+3+3 = 11
sum = 5+4+2 = 11
sum = 5+5+1 = 11
sum = 6+1+4 = 11
sum = 6+2+3 = 11
sum = 6+3+2 = 11
sum = 6+4+1 = 11

There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.

So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.

7 0

3 years ago

Kahlia needs $468.75 to buy herself a new chromebook. She plans to wash 125 cars in her neigborhood to earn enough money to but

mixer [17]

Answer:

468.75 / 125 = $3.75 per car wash.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Sally sells sea-shells by the seashore. After 6 days, she has made

nasty-shy [4]

Answer:

the right answer is$2.66

8 0

3 years ago