Answer: 3.76 meters
Step-by-step explanation:
So to compare boxes, you want to convert both to price per ounce unit.
So for smaller box, we have ratio $2.89 / 17 ounces which can be reduced to $0.17 per ounce. You just divide 2.89 by 17.
Now for larger box, we have ratio $3.29 / 24 ounces which can be reduced to approximately $0.14 per ounce. 0.137083333... to be exactly.
Larger box has smaller ratio compared to smaller box therefore larger box the is better buy.
The difference per ounce is 0.17 - 0.137083333... = 0.03291666... so that's 3.3 cents cheaper per ounce.
Final answer: <span>The larger box is the better buy because it is approximately 3.3 cents cheaper per ounce.</span>
Answer:
ax² + bx + c
Step-by-step explanation:
The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.
Suppose a quadratic function:
f(x) = 2x² - 8x + 9
Use ( -b/2a , f(-b/2a) ).
-b/2a
a = 2
b = -8
-(-8)/2(2)
8/4
= 2
f(2) = 2(2)² - 8(2) + 9
f(2) = 2(4) - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
The minimum value of this quadratic function is (2, 1).
It represents a minimum value because a > 0.
ANSWER
C. x=7
EXPLANATION
The given exponential equation is

We rewrite the right hand side as 3 raised to exponent 2.

Observe that the base of both sides of the equation are equal.
We now equate the exponents.

Solve for x,


The correct choice is C.
Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be
.
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.




Number of blocks built by Colton:
.
Therefore, Colton had build 100 blocks.