Answer:
7/12
Step-by-step explanation:
The equation of direct variation is,

Substitute the values of <em>y</em> and <em>x</em>.

So, the obtained equation will be <em>y</em>=1.35(x).
Let's check with the values of <em>x</em>.
1) If <em>x</em>=4

2) If <em>x</em>=2

3) If <em>x</em>=-2
Answer:
The second choice is correct.
Step-by-step explanation:
The softball cannot be anything under 180 grams because that would go past the ten gram limit. As well as the ball cannot go any higher than 200 grams.
Answer: 12.65 cm
Step-by-step explanation:
Use the Pythagoras theorem,
a^2 + b^2= c^2
You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length
c^2 - b^2 = a^2
14^2 - 6^2 = 160
Square root 160 to find the missing length
12.65
Hope this helped :)
Answer:
C. $97
Step-by-step explanation:
The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.
average wage for 15 days = (sum of wages for the 15 days)/15
The amount of wages during a number of days is the product of the average wage of those days and the number of days.
First 7 days:
average wage: $87
number of days: 7
total wages in first 7 days = 7 * $87/day = $609
Last 7 days:
average wage: $92
number of days: 7
total wages in last 7 days = 7 * $92/day = $644
8th day:
wages of the 8th day is unknown, so we let x = wages of the 8th day
total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)
total wages of 15 days = 609 + x + 644 = x + 1253
average wage for 15 days = (sum of wages for the 15 days)/15
average wage for 15 days = (x + 1253)/15
We are told the average for the 15 days is $90/day.
(x + 1253)/15 = 90
Multiply both sides by 15.
x + 1253 = 1350
Subtract 1253 from both sides.
x = 97
Answer: $97