So, if he has 4 dozen eggs, ten dollars per dozen, he has spent $40 on 48 eggs. <em>This means the cost of one egg = 48/40. </em>This can simplify to <em>6/5 </em>which is equal to<em> $1.20. </em>This means the value of one egg is $1.20, including the broken ones! So if six were broken, we multiply 1.20 x 6 which equals <em>$7.20!</em>
Use this "formula" to help find percentages
<em>Part/Total = %( Percentage )/ 100</em>
Now that we know how much money has gone to waste, we can plug in the known values into this "formula."
<em>7.2/48 = x/100</em>
Solve accordingly; cross multiply, 720 = 48x; divide both sides of the equation by 48 to isolate the variable, 720/48 = 48x/48; now you have your final answer which is:
15 = x; going back to the "formula" this means 15% of his money has gone to waste. I hope this helped! :)
Answer:
Step-by-step explanation:
During the card game, the number of points that Adam scored is x. Imran scored 3 points fewer than Adam. It means that the number of points that Imran scored is
(x - 3) points
I)Shakeel scored twice as many points as imran. It means that the expression for the number of points that Shakeel scored is
2(x - 3) points
Ii) Together they scored 39 points. Therefore, the equation which may be used to find the value of × would be
x + x - 3 + 2(x - 3) = 39
x + x - 3 + 2x - 6 = 39
x + x + 2x - 3 - 6 = 39
4x - 9 = 39
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
By definition, the average rate of change is given by:

We evaluate each of the functions in the given interval.
We have then:
For f (x) = x ^ 2 + 3x:
Evaluating for x = -2:

Evaluating for x = 3:

Then, the AVR is:




For f (x) = 3x - 8:
Evaluating for x =4:

Evaluating for x = 5:

Then, the AVR is:



For f (x) = x ^ 2 - 2x:
Evaluating for x = -3:

Evaluating for x = 4:

Then, the AVR is:




For f (x) = x ^ 2 - 5:
Evaluating for x = -1:

Evaluating for x = 1:

Then, the AVR is:




Answer:
from the greatest to the least value based on the average rate of change in the specified interval:
f(x) = x^2 + 3x interval: [-2, 3]
f(x) = 3x - 8 interval: [4, 5]
f(x) = x^2 - 5 interval: [-1, 1]
f(x) = x^2 - 2x interval: [-3, 4]
Answer:
x≥38 points
Step-by-step explanation:
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?
julio has a 24 game basketball season.
he has played 8, it means there are 16 more games to go
therefore=
he has scored 256 nts, wic means there are still 608 points to go .
864-256=608
x is the points he more score per every game.
16x=608
to break the records ,he must score an extra point 1
so 16x≥608
x≥38