2x-y=4
Therefore: y=2x-4
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5x-10/4(2x-4)=10
5x-5/2(2x-4)=10
5x-5x+10=10
10=10
------------------------
*Problem can't be solved.
Answer:
(4x -14)/3
Step-by-step explanation:
Assuming you intend mixed number coefficients, only the coefficients of x can be combined.
(-2 1/4)x +(3 7/12)x -(4 2/3) = x(-2 1/4 +3 7/12) -(4 2/3)
The mixed numbers are added in the usual way.
(-2 1/4) +(3 7/12) = (-2 +3) +(-1/4 +7/12) = 1 +(-3/12 +7/12) = 1 4/12 = 1 1/3
So the expression simplifies to ...
(1 1/3)x -(4 2/3)
This might be better written as ...
(4x -14)/3
_____
<em>Comment on mixed numbers</em>
It is hard to write mixed numbers so they can be properly interpreted in an algebraic expression. In general, they are better written as improper fractions or as decimal numbers (if the decimal terminates).
Answer:
1. 24 quarts. 2. 85 seconds.
Step-by-step explanation:
1. We need to know how many 2/3 are in 4.
if 3/3 are in 1 cup, then 12/3 are in 4 cups.
there are 6 twos in 12, so there are 6*2/3 cups in 4 cups.
Each 2/3 needs 4 quarts of green, and we have six times that.
6*4 = 24, so we need 24 quarts of green paint.
2. The 12.75 miles would go in the "d" or distance part of the equation.
d = 0.15t
12.75 = 0.15t (divide both sides by 0.15)
12.75/0.15 = 0.15t/0.15
t = 85, so 85 seconds.
12.75 miles isn't the distance between the two cities, it's much farther, so this answer makes sense.
Using the binomial distribution, it is found that about 75 batteries each day are defective.
For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
In this problem:
- 3 out of 20 batteries are defective, hence p = 3/20 = 0.15.
- Each day, 500 batteries are produced, hence n = 500.
Then, the expected number of defective batteries in a day is given by:
E(X) = np = 500(0.15) = 75.
More can be learned about the binomial distribution at brainly.com/question/14424710
Answer:
b = √45
Step-by-step explanation:
From the figure we get, There are two right angled triangle.
In large triangle 'b' is the base, height = 6 and hypotenuse = 9
<u>To find the value of b</u>
Hypotenuse² = Base² + Height²
Here,
9² = b² + 6²
b² = 9² - 6² = 81 - 36 = 45
Therefore, b = √45
