A linear equation that represents the model is: x + 6 = 10; x = 4
<h3>How to solve linear equations?</h3>
Let us first define the variables based on the attached image of the ball balance:
Let x = number of balls that contains the square.
On the left side, we have; square + 6 balls
On the right side, we have; 10 balls
To balance this, we have;
x + 6 = 10
x = 10-6
x = 4
Thus, a linear equation that represents the model is:
x + 6 = 10; x = 4
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Answer:
In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and
discussed a few of their functional properties from that perspective. In this section, we explore
the algebraic properties of logarithms. Historically, these have played a huge role in the scientific
development of our society since, among other things, they were used to develop analog computing
devices called slide rules which enabled scientists and engineers to perform accurate calculations
leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit
analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.
We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as
the inverse of an exponential function.
Step-by-step explanation:
Hope this helps
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
Answer:
7 for $32.76
Step-by-step explanation:
23.60/5 is $4.72
32.76/7 is $4.68
Answer:Mean is greater than the median and the range is 6
Step-by-step explanation: Mean is the average 5+6+7+11+11/5 = 8
Mode is the number occurring most 11
Median is the middle number 7
Range is the highest -lowest 11-5=6
