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Schach [20]
3 years ago
7

Alec mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is t

he percent concentration of the final solution?
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

i tink 88 percent

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Suppose you earned $15 from your job last week. You want to save $3 and buy some books that cost $4 each. To find how many books
vova2212 [387]

Answer:

You can buy 3 books 4 x 3 = 12

Step-by-step explanation:

8 0
3 years ago
Please help, I've been trying for an hour and I don't know how to set up this problem.
labwork [276]

Given ratio of the width of Francois's wife's vegetable garden to its length is 5:8.

Let l1,w1 be the length and width of Francois's wife's vegetable garden.

Then \frac{w1}{l1}  = \frac{5}{8}

Given ratio of the width of the herb garden to its length is 3:5.

Let l2,w2 be the length and width of herb garden.

That is \frac{w2}{l2} = \frac{3}{5}

Given that length of the herb garden is same as the width of the vegetable garden.

That is l2=w1 let this common value be x.

So, first ratio is \frac{x}{l1}=\frac{5}{8}

l1 = \frac{8x}{5}

Second ratio is \frac{w2}{x} = \frac{3}{5}

w2 = \frac{3x}{5}

perimeter of vegetable garden = 2(l1+w1) = 2(\frac{8x}{5} +x) = 2*\frac{13x}{5}  = \frac{26x}{5}

Perimeter of herb garden = 2(l2+w2) = 2(x+\frac{3x}{5} ) = 2*\frac{8x}{5} =\frac{16x}{5}

Given that francois has 252ft of fencing material.

That is perimeter of vegetable garden + perimeter of herb garden = 252

                                    \frac{26x}{5} +\frac{16x}{5}  = 252

                                               \frac{42x}{5} =252

                                                  x = \frac{252*5}{42} = 30 feet

So, l1 = \frac{8x}{5} = \frac{8*30}{5} = 48 feet

And w2 = \frac{3x}{5} = \frac{3*30}{5} = 18 feet

So dimensions of vegetable garden are 48ft, 30ft.

And dimensions of herb garden are 30ft,18ft.

4 0
3 years ago
If a^b= b^a and b = 2a, what is the value of a + b?​
katen-ka-za [31]

<u>We are given:</u>

aᵇ = bᵃ

b = 2a

<u>Finding (a+b):</u>

<u>Finding a:</u>

replacing b by 2a in the first equation, we get:

(a²)ᵃ = (2a)ᵃ

(a²)ᵃ = 2ᵃ * aᵃ

a²ᵃ / aᵃ = 2ᵃ                  [dividing both sides by aᵃ]

aᵃ = 2ᵃ                          [because xᵃ / xᵇ = xᵃ⁻ᵇ]

a = 2                             [raising both sides to 1/a]

<u>Finding b:</u>

We are given that b = 2a

now that we know what a equals, we will plug that value here

b = 2(2)

b = 4

<u>Finding a+b:</u>

We found that a = 2, b = 4

a + b = 2 + 4 = 6

5 0
3 years ago
Robert wants to put lights around the edge of his deck. The deck is 46 feet long and 23 feet wide. How many yards of lights does
Korolek [52]
46 yards is the answer

5 0
3 years ago
How much air to fill a beach ball of 20 inch diameter
Scrat [10]

Answer:

68641.97317cm³

Step-by-step explanation:

V=4/3πr³

  =4/3·π·25.43

   ≈68641.97317cm³

8 0
2 years ago
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