Answer:
(2, 4.5 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 30 → (1)
5x - 2y = 1 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate y
10x - 4y = 2 → (3)
Add (1) and (3) term by term to eliminate y
16x + 0 = 32
16x = 32 ( divide both sides by 16 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 4y = 30
12 + 4y = 30 ( subtract 12 from both sides )
4y = 18 ( divide both sides by 4 )
y = 4.5
solution is (2, 4.5 )
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
We want to find the tenth term of this sequence.
We substitute n=10 to get:
Simplify the exponent
Simplify the power
Therefore the 10th term is 262,144
Answer:
Mix blue with black or darker blue.
Step-by-step explanation:
In order to make blue darker you need a darker shade of color, using either dark blue or black will acomplish this.
Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:
Cross multiply:
Answer
wherever the decimal is, put it directly on top of the dividing line thing. Now that the decimal looks like a regular whole number you can divide like you usually would. Whenever you do regular long division, your answer is always going to be on the top of the line. Your answer should have a decimal in it ... and that should be your answer.