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vagabundo [1.1K]
3 years ago
15

To find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Exp

lain your reasoning.
PLZ HELP ASAP
Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer: See explanation

Step-by-step explanation:

We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.

In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).

Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:

r-6 = 9

r = 9 + 6

r = 15

Check: 3r - 18

3(15) - 18 = 45 - 18 = 27

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otez555 [7]
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3 years ago
Part 10, What is the area of this figure? NO LINKS!!!​
Tamiku [17]

Answer:

shaded area  = 601 mm²

Step-by-step explanation:

Area of rectangle = Length * Breadth

Area of first section = 12 * 16 = 192 mm²

Area of 2nd middle section = 8 * ( 16 - 10 ) =  48 mm²

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Area of total therefore = 192 mm² + 48 mm² + 361 mm²

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8 0
2 years ago
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Aleks04 [339]
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5 0
3 years ago
How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Fantom [35]
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
4 0
3 years ago
What is the domain of the function graphed below?
I am Lyosha [343]

Answer:

x < 7

Step-by-step explanation:

the domain is the number range or interval of x the function is defined for to generate a y-value.

the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.

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so, it is fully defined for all x < 7.

4 0
3 years ago
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