Answer:
30 gallons of each brand
Step-by-step explanation:
1 gallon of 60% + 1 gallon of 80% = 2 gallons 70% (60/2 = 30)
Answer:
14
Step-by-step explanation:
f(-2) = 2(-2)² - 8(-2) + 6 = 30
f(-1) = 2(-1)² - 8(-1) + 6 = 16
f(0) = 2(0)² - 8(0) + 6 = 6
f(1) = 2(1)² - 8(1) + 6 = 0
f(2) = 2(2)² - 8(2) + 6 = -2
Answer:
684/1525
Step-by-step explanation:
Given
cosA = 24/25
SinB = 11/61
Sin(A+B) = SinAcosB + CosAsinB
Get SinA
Since
Cos A = adj/hyp
adj = 24
hyp = 25
opp² = 25² - 24²
opp² = 625 - 576
opp² = 49
opp = √49
opp = 7
sinA = opp/hyp
sinA = 7/25
Also if SinB = 11/61
opposite = 11
Hypotenuse = 61
adj² = 61² - 11²
adj² = 3,721 - 121
adj² = 3600
adj = √3600
adj = 60
Cos B = adj/hyp
CosB = 60/61
Sin(A+B) = SinAcosB + CosAsinB
Sin(A+B) = 7/25(60/61) + 24/25(11/61)
Sin(A+B) = 420/1,525 + 264/1,525
Sin(A+B) = 684/1525
1. The puppy gained 3/8 pounds each week, for 4 weeks. To find out how much the puppy gained altogether, you multiply 3/8 by 4.
In order to do that, we have to turn 4 into a fraction. We can simply write it as 4/1.
Now, we multiply the two fractions together. When you multiply fractions, you multiply the numerators (top numbers) together, and the denominators (bottom numbers) together.

3 x 4 = 12
8 x 1 = 8
The puppy gained 12/8 pounds during the 4 weeks.
3. Ivana has 3/4 pounds of meat and makes 3 patties, all weighing the same.
To figure out how much each patty weighs, we first have to turn 3 into a fraction. Much like the first problem, we can simply write it as 3/1.
Then, we have to divide 3/4 by 3/1. In order to do that, we multiply 3/4 by the reciprocal of 3/1. The reciprocal is the fraction flipped upside down, so in this case, the reciprocal of 3/1 is 1/3.
Now, we multiply.

3 x 1 = 3
4 x 3 = 12
we can simplify 3/12 by dividing the numerator and denominator by 3
3 ÷ 3 = 1
12 ÷ 3 = 4
Each patty weighs 1/4 pounds