The decimal for 77/200 is 0.385
46 = 5k - 59
46 + 59 = 5k
105 = 5k
105/5 = k
21 = k
k is 21
Answer:
hypotenuse length is 26
Step-by-step explanation:
a²+b²=c²
10²+24²=c²
100+576=c²
√676=26
Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
Question 1:
All provided options would give the best deal on an item
Answer: Option d [all of the above]
Question 2:
When an item's price is knocked off by 15%, it means the item has only 85% of its original value left to pay. Hence, a discount of 15% means multiplying the original price by 85%
Answer: option C