Answer:
a. $3600
b. 6:5
Step-by-step explanation:
Put the question into an equation:
8x - 1/4 x 8x = 5x + 450
(simplify before solving) 6x = 5x + 450
(solve) 6x-5x = 450
x = 450
This means that Jimmy had 8 x 450 $ to start with = 3600
you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!
Now ratio of new amounts:
Jimmy now has: $2700
John still has: $2250
so ratio is 2700:2250
simplify to 6:5
Hope this helps
Please mark brainiest
Answer:
b) g(x) is stretched horizontally and reflected over the x-axis.
Step-by-step explanation:
The given parent function is
The transformed function is
We want to see how the transformed graph compares with the parent graph.
The negation inside means all x-coordinates we're negated.
This means, there is a reflection in the y-axis.
The factor of 2 within the function means a horizontal stretch by a factor of 1/2.
The correct answer is B.
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
Answer:
y=(1/3)x+5
Step-by-step explanation:
Slope-intercept: y=mx+b
m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)
y=(1/3)x+b
plug in one of the points (3,6)
6=(1/3)(3)+b
6=1+b 5=b
