Working attached below. Hope this helps! Any questions let me know :)
Let the number be x
5 x = 8 + 3x
2 x = 8
x = 4 Ans
Answer:
Step-by-step explanation:
<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule
<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule
<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule
Now, the sequence of these three transformation has the rule
I put the wrong answer oof
Answer:
a. 8
b. 2, 3, 4
Step-by-step explanation:
We have to:
Pedro's age = 14 years
Elisa's age = 3 years
The years to elapse = x
Pedro's age = 14 + x
Elisa's age = 3 + x
14 + x = 2 * (3 + x)
14 + x = 6 + 2 * x
14 - 6 = 2 * x - x
x = 8
Eight years must pass before Pedro's age is twice Elisa's
Now the second question:
Let x be the smallest number
Let x + 1 be the consecutive number
Let x + 2 be the consecutive number
x + (x + 1) + (x + 2) = 2 * (x + 2) +1
x + x +1 + x + 2 = 2 * x + 4 + 1
3 * x +3 = 2 * x + 5
3 * x -2 * x = 5 - 3
x = 2
So:
x = 2
x + 1 = 2 + 1 = 3
x + 2 = 2 + 2 = 4
Therefore the numbers are 2, 3, 4 are consecutive and equality is true