Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
Answer:
55%
Step-by-step explanation:
341 divided by the amount of total students is 55%
Answer:
<h2>y = 7</h2>
Step-by-step explanation:
We know that the sum of the measures of angles on one side of the parallelogram is 180°.
We have the equation:
(6x - 12) + (132 - x) = 180
6x - 12 + 132 - x = 180 <em>combine like terms</em>
(6x - x) + (-12 + 132) = 180
5x + 120 = 180 <em>subtract 120 from both sides</em>
5x = 60 <em>divide both sides by 5</em>
x = 12
Opposite angles in the parallelogram are congruent.
Therefore:
6y + 18 = 6x - 12
Put the value of x to the equation and solve it for y:
6y + 18 = 6(12) - 12
6y + 18 = 72 - 12
6y + 18 = 60 <em>subtract 18 from both sides</em>
6y = 42 <em>divide both sides by 6</em>
y = 7
Answer:
7 feet and 24 feet
Step-by-step explanation:
In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.
Let x feet and y feet be the lengths of triangle's legs.
By the Pythagorean theorem,

The area of the right triangle is half the product of its legs, thus

Solve the system of two equations:

From the second equation:

Substitute it into the first equation:

The length of the leg cannot be negative, so

Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.
75 •
.75 =
.5625
.75 •
.75 •
.75 =
.4219
(i'm sorry if i'm wrong)