Equation 1: x + y = 40 ; therefore y = 40 - x
Equation 2: 25x + 15y = 900
Find x first:
25x + 15 (40 - x) = 900
25x + 600 - 15x = 900
10x = 900 - 600
x = 300÷10
x = 30 hours Chris needs to spend for tutoring job
y = 40 - 30
y = 10 hours Chris needs to spend for referencing job
Answer:
4
Step-by-step explanation:
Please find attached my workings (Brainly equation editor is not working for me at the moment)
Triangles are congruent when they can be changed by a series of transformations
Answer:
<h3>a) 3/4</h3><h3>b) 4:3</h3>
Step-by-step explanation:
Find the diagram attached.
Given the scale factor of circle A to circle B as 3/4
A:B = 3:4
Total ratio = 3+4 = 7
Area of bigger square A = 45sq. units;
The Total area can be gotten using the expression;
where;
x is the total area of both circles.
Get x;

Area of circle B = 78.75 - 45 = 33.75
Let the fraction required be y
45 * y = 33.75
y = 33.75/45
y = 3375/4500
y = 45/60
y = 3/4
Hence the area of circle B is 45 * <u>3/4</u> of circle A
b)The ratio of circle A to Circle B is expressed as;
Ratio = Area of circle A/Area of circle B
Ratio = 45/33.75
Ratio = 45 * 100/3375
ratio = 4500/3375
Ratio = 4:3
Hence the ratio of circle A to Circle B is 4:3
We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0
y^2-3y=0
y(y-3)=0
y1=0 -----------y2=3