Given: 11-pound mixture of peanuts, almonds, and raisins
Cost:
peanuts - 1.5 per pound
almonds - 3 per pound
raisins - 1.5 per pound
mixture:
twice as many peanuts as almond; total cost of mixture is 21.
a + p + r = 11 lbs
a + 2a + r = 11 lbs
3a + r = 11
r = 11 - 3a
1.5(2a) + 3a + 1.5r = 21
3a + 3a + 1.5r = 21
6a + 1.5r = 21
6a + 1.5(11-3a) = 21
6a + 16.5 - 4.5a = 21
6a - 4.5a = 21 - 16.5
1.5a = 4.5
1.5a/1.5 = 4.5/1.5
a = 3
almonds = 3 lbs
peanuts = 2a = 2(3) = 6lbs
raisins = 11 - 3a = 11 - 3(3) = 11 - 9 = 2 lbs
<span>My answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins </span>
Answer:
B. 12.5 feet below the surface of the water
Step-by-step explanation:
-20 + (-32.5) + 40
40 - 52.5
= -12.5 feet
= 12.5 feet below the water
To arrange the slopes we need to take their absolute values.
1. U<span>ndefined slope means a vertical line, so it is going to be steepest.
2.|4/3| = 4/3
3.|-3/2| = 3/2
4. 0 means horizontal line.
</span>From flattest to steepest: 0, -3/2, 4/3, undefined.
the answer is 4.5 ft
Step-by-step explanation:
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−4
Step
