Answer:
Answer:£23.85 is your answer.
x+2.5%ofx=£977.85
x(1+2.5/100)=£977.85
x=£977.85/(1.025)=954
saving money will be =£977.85-954=£23.85
Answer:
Step-by-step explanation:
y = 1/3x + 6
y = 1/4x + 3
this is just a matter of substitution...subbing in one y for the other
y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work
1/3x + 6 = 1/4x + 3
1/3x - 1/4x = 3 - 6
4/12x - 3/12x = -3
1/12x = -3
x = -3 * 12
x = - 36
now sub that back into either of ur original equations to find y
y = 1/3x + 6
y = 1/3(-36) + 6
y = - 12 + 6
y = - 6
solution is : x = -36 and y = -6 or (-36,-6)
Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y

Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42
I think you forgot to include that T is the midpoint of SV, but what this would mean is that ST = TV.
5x + 2 = 3x + 12
Subtract 2 from both sides.
5x = 3x + 10
Subtract 3x from both sides.
2x = 10
Divide both sides by 2.
x = 5
Now plug that x into ST.
ST = 5(5) + 2
ST = 25 + 2
ST = 27
First question:. A and D. Second question: B and C .