Answer:
- c = -4.5
- z = 20
- x = -12
- a = -4/7
Step-by-step explanation:
A way to do this that will always work is ...
- eliminate parenthses and collect terms
- subtract any constants from the left side
- subtract any variable terms from the right side
- divide by the coefficient of the variable
1.
- 8c -11 -6c = -2
- 2c -11 = -2
- 2c = 9
- c = 4.5
2.
- 3z +4 -2z -9 = 15
- z -5 = 15
- z = 20
3.
- 12 -4x +18 = 36 +4x +18 -6x
- 30 -4x = 54 -2x
- -4x = 24 -2x
- -2x = 24
- x = -12
4.
- 36a -9a -5 = 6a -17
- 27a -5 = 6a -17
- 27a = 6a -12
- 21a = -12
- a = -12/21 = -4/7
Answer:
4 possible outcomes
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
In this problem
<em>The probability of choose a blue card is
</em>
substitute
<em>The probability of choose a green card is
</em>
substitute
<em>The probability of choose a red card is
</em>
substitute
<em>The probability of choose a yellow card is
</em>
substitute
The sum of the probabilities of the 4 possible outcomes is equal to
----> represent the 100%
Answer:
1 1/24
Step-by-step explanation:
5/12 + 5/8
We need a common denominator of 24
Convert the first number to have a denominator of 24
5/12 *2/2 = 10/24
Convert the second number to have a denominator of 24
5/8*3/3 = 15/24
Add the two converted numbers together
10/24 + 15/24
25/24
Change from an improper fraction to a mixed number
24/24 + 1/24
1 1/24
The answer is 4.5 miles. Hope it helps!
Answer:
65°
Step-by-step explanation:
To obtain Angle A, we use the cosine rule ;
Cos A = (b² + c² - a²) / 2bc
Cos A = (12² + 14² - 14²) / 2(12)(14)
Cos A = 144 / 336
A = Cos^-1(144/336)
A = 64.62°
A = 65°
