I think It’s A took the test
Answer:
What percentage of gold is in the new alloy after the recasting? 4
Step-by-step explanation:
(80/5)*(1/5)/80=0.04
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Answer:
£807.84
Step-by-step explanation:
Cost of Collins car insurance per year = £766.45
Percentage increase in price = 5.4%
How much does the insurance cost now?
Cost of the insurance now = £766.45 + 5.4% of £766.45
= 766.45 + 5.4/100(766.45)
= 766.45 + 0.054(766.45)
= 766.45 + 41.3883
= 807.8383
Cost of the insurance now = £807.84
