Answer:
It is the first choice, where 3 pennies are 7.5 grams
Step-by-step explanation:
The formula of a slope:

We have the points A(-6, 6) and B(12, 3). Substitute:

Therefore we have
.
Put the coordinates of the point B to the equation:

<em>add 2 to both sides</em>

Answer:

Answer:
Step-by-step explanation:
Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...
Let 2n + 5 = the second and larger number.
Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26
n + 2n + 5 = 26
Collecting like-terms on the left, we get:
3n + 5 = 26
3n + 5 - 5 = 26 - 5
3n + 0 = 21
3n = 21
(3n)/3 = 21/3
(3/3)n = 21/3
(1)n = 7
n = 7
Therefore, ...
2n + 5 = 2(7) + 5
= 14 + 5
= 19
CHECK:
n + (2n + 5) = 26
7 + (19) = 26
7 + 19 = 26
26 = 26
Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.
Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:

Solve for x

Cross multiply


Divide both sides by 25
x = 28.8