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>

8 0

2 years ago

Read 2 more answers

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths o

ycow [4]

Answer:

Step-by-step explanation:

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,

$\angle CBD\cong \angle ACD\cong \angle CBA$
$\angle DCB\cong \angle DAC\cong \angle BAC$

So,

$\triangle ABC\sim \triangle CBD\sim \triangle ACD$

1. From the similarity $\triangle ABC\sim \triangle CBD,$ you have

$\dfrac{AB}{BC}=\dfrac{BC}{BD}\\ \\\dfrac{c}{a}=\dfrac{a}{s}$

2. From the similarity $\triangle ABC\sim \triangle ACD,$ you have

$\dfrac{AB}{AC}=\dfrac{AC}{AD}\\ \\\dfrac{c}{b}=\dfrac{b}{r}$

Hence, option A is true

5 0

2 years ago

In the equation, 6(3x+5) -4x =35 , what are some of the steps that should be taken to solve for x? Select all that apply.

Natalija [7]

You need to combine like terms and subtract 30. How you find the answer is you work the problem first 1. Distribute the 6 (18x+30)-4x=35 then 2. combine like terms 18x and -4x. (14x+30)=35 then 3. Subtract 30 from both sides (14x)=5

6 0

2 years ago