Simplifying
3x2 + -5 = 70
Reorder the terms:
-5 + 3x2 = 70
Solving
-5 + 3x2 = 70
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 3x2 = 70 + 5
Combine like terms: -5 + 5 = 0
0 + 3x2 = 70 + 5
3x2 = 70 + 5
Combine like terms: 70 + 5 = 75
3x2 = 75
Divide each side by '3'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5} and that’s it.
Answer:
∠c = 33°
∠b= 147°
Step-by-step explanation:
A line is 180°, and ∠c + 147° make up a linear pair.
180 - 147 = 33°
∠c is 33°.
∠b and 147° angle are vertical angles, meaning that they have the same angle measure.
∠b = 147°.
The answer to this question has to be 8
Answer:
<em>Peter now has 54 baseball cards</em>
Step-by-step explanation:
<u>Percentages</u>
Assume Peter had x baseball cards in his collection. The 35% of his initial collection is
35 * x / 100= 0.35x
We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation
0.35x=14
When we solve for x, we'll know how many baseball cards Peter had before
x=14 / 0.35 = 40
Peter had 40 cards, he added 14 new baseball cards, so he now has 40+14=54
Peter now has 54 baseball cards
Answer:
A) amount of snowfall in a blizzard
Step-by-step explanation:
Both continuous and discrete data are quantitative.
The difference is that
- Continuous data can take any value. You obtain it by measurement.
- Discrete data can take only certain values. You obtain it by counting.
The amount of snowfall in a blizzard is continuous data. It can take any value such as 100.3 cm or 250.5 cm
.
B) is wrong. The number of students who pass a math quiz is discrete data. You can't have half a student.
C is wrong. The number of languages an individual speaks is discrete data. You can't speak half a language.
D) is wrong. The number or treadmills in a gym is discrete data. You can't have half a treadmill.
