Answer:
Step-by-step explanation:
Let the sides of the triangle be a, b and c.
<u>We have:</u>
- P = a + b + c = 29
- a = 2b - 5
- c = b + 6
<u>Substitute values and solve for b:</u>
- 2b - 5 + b + b + 6 = 29
- 4b + 1 = 29
- 4b = 28
- b = 7
<u>Find a and c:</u>
- a = 2*7 - 5 = 14 - 5 = 9
- c = 7 + 6 = 13
<u>The sides are:</u> 7, 9, 13
Answer:
.925528227816363717263662772636
Answer:
(1,7.5)
Step-by-step explanation:
(x₁ + x₂ / 2 , y₁ + y₂ / 2)
(-2 + 4 / 2 , 6 + 9 / 2)
(2 / 2 , 15 / 2)
(1,7.5)
Answer:1/10
Step-by-step explanation:
To convert a ratio to a fraction, you divide the number on the left by the number on the right. This gets you (3/5)/6. When dividing fractions by whole numbers, you need to convert the whole number to a fraction. I converted 6 to 6/1, so that gave me (3/5)/(6/1). You then multiply the top number by the bottom number to get the numerator of the answer, and the middle 2 numbers multiplied is the denominator. The answer is (3x1)/(5x6), or 3/30, which can be simplified to 1/10.
In five quarts, we have 2 quarts of acid and 3 quarts of water
total = (2 + 3) = 5 quarts
concentration = 2 / 5
We want a 30% concentration
total volume = 2 + x
.30 = 2 / (2+x)
.6 + .30 x = 2
.30x = 1.4
x = 4.66666 gallons of water
(or we need to add 1.666666 gallons of water)
Double Check:
acid concentration = 2 / (2 + 4.666666)
acid concentration = .30
