Answer:
1
Step-by-step explanation:
-3x+9=3(2x+3)+3(x-4)+1
Distributive property in the parenthesis
-3x+9=6x+9+3x-12+1
Combine Like Terms
-3x+9=9x-2
Get the x’s on one side
-3x+9=9x-2
+3. +2 +3. +2
11=11x
Divide by 11 on both sides
11/11=1
Answer:
*read explanation for both questions*
Step-by-step explanation:
So the first one asks <em>”the first number in a pattern is 6, the pattern follows the rule ’</em><em>multiply by 4’ </em><em>“</em>
The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.
That’s the pattern fo the first one
The second one asks <em>“The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”</em>
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When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.
For this case we have the following equation:
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65
5*(n-2) = 29
5n-10=29 (distributive property)
5n-10+10=29+10 (do operations to both sides to isolate variable)
5n/5 = 39/5 (further isolate)
n = 7.8 (answer)
Your number is 7.8.
Answer:
5π m
Step-by-step explanation:
Using the pythagorean theorem we can figure out that the third side is 5m
A^2 + B^2 = C^2
3^2 + 4^2 = C^2
9 + 16 = C^2
25 = C^2
√23 = √(C^2)
C = 5m
Side C is also the diameter of the circle, so the radius is 5/2, or 2.5
From that we can use the circumference formula, Circumference = 2π<em>r</em>
Circumference = 2 π (2.5) = <u>5π m</u>