Answer:
£10 pounds
Step-by-step explanation:
135+70+35 = 240 pounds between all 3
3:2:1 ratio means 6x represents all of them
6x=240
x=£40 each 1
3(40) = £120 Sarah
2(40) = £80 Gemma
1(40+ = £40 Beth
Gemma received 10 pounds.
Answer:
$11,250
Step-by-step explanation:
Normally, when I work "mixture" problems, I like to choose the variable so it represents the amount of the largest contributor. Here, that would be the amount invested at 15%.
Unfortunately, the question asks for the amount invested at 7%. Using a variable to represent that amount means that there will be negative numbers involved. Care must be taken in the arithmetic.
Let x represent the amount invested at 7%. Then 16000-x is the amount invested at 15%. The total interest for one year is ...
0.07x + 0.15(16000 -x) = 1500 . . . . sum of interest amounts at each rate
-0.08x +2400 = 1500 . . simplify
-0.08x = -900 . . . . . . . . subtract 2400
x = 11250 . . . . . . . . . . . . divide by -0.08
The bank loaned $11,250 at 7%.
Y = 0.5x + 16.5
parallel so y = 0.5x + c
12 = 0.5 * -9 + c
12 = -4.5 + c
c = 16.5
y = 0.5x + 16.5
Mark brainliest please
Find the perimeter of the painting because that's what the frame will be:
2(5)+2(6)=P
10+12=P
22=P
Multiply 22 by 5 because the painting has a perimeter of 22 feet and each one foot will cost 5 dollars
22*5=110
The frame would cost $110
Answer:
<em>BC = 27</em>
Step-by-step explanation:
The point B is the midpoint of AC
=> AB = BC
=> 4x - 5 = 11 + 2x
Let's calculate x to work out BC
Transferring the components containing x to the left side, and other components to the right side:
=> 4x - 2x = 11 + 5
Simplifying both sides:
=> 2x = 16
=> x = 8
Working out BC:
=> BC = 11 + 2x = 11 + 2(8) = 11 + 16 = 27
Hope this helps!
