1. 
of students ride the bus to school. Note that
2. 
of students walk to school.
3. The fraction of students that ride the bus or walk to school is
Answer: the fraction of students that ride the bus or walk to school is 
Answer:
Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
<u>We have:</u>
- (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
- 4(2x + 1)² = 4x² + 4(x + 1)² + 48
- (2x + 1)² = x² + (x + 1)² + 12
- 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
- 2x² + 2x - 12 = 0
- x² + x - 6 = 0
- (x - 2)(x + 3) = 0
- x = 2, x = -3
<u>The numbers are:</u>
Answer:
(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)
Step-by-step explanation:
We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)
<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
brainly.com/question/4167122
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