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Sever21 [200]
4 years ago
12

the directions on a bottle of vinegar say "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution". the ratio o

f vinegar to water is 1 to 16. How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?
Mathematics
2 answers:
Hoochie [10]4 years ago
7 0
The mixture is 1 cup of vinegar to 1 gallon of water.
Since 1 gallon is 16 cups, it could also be
1 cup of vinegar to 16 cups of water.
If we had 80 fluid ounces of water, we'd have to change the water to 5 fluid ounces to keep the mixture the same. (It's still 1 part vinegar, 16 parts water)
Natali5045456 [20]4 years ago
3 0
The ratio for this is 1:16, with the amount of water being 16 times more than the amount of vinegar.
If the water has a volume of 80 fluid ounces, then the vinegar will be 80/16. This = 5 so the amount of vinegar in this ratio to make this cleaning solution is 5 fluid ounces. In other words, 5:80
Hope this helps :)
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Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

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3 years ago
A car starts 40 meters away from home and every minute the car travels an additional 1000 meters. What
barxatty [35]
The equation would be y=1000x+40
5 0
3 years ago
adam is a scuba diving. he descends 5 feet the same distance 4 more times .what is adam final elevation
a_sh-v [17]
Adam descends 5 feet Multiply 5 by four and then you get 30 feet
4 0
3 years ago
Read 2 more answers
Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan
atroni [7]

Answer:

4696.0 in.^3

Step-by-step explanation:

The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.

The volume of a cylinder is given by the formula

V=\pi r^2 h

where

V is the volume

r is the radius of the base

h is the height of the cylinder

In this problem, we have:

h = 24.90 in. is the height of the can

d = 15.50 in. is the diameter of the can, so the radius is half of this value:

r=\frac{d}{2}=\frac{15.50}{2}=7.75 in.

Therefore, the volume of the trash can is:

V=\pi (7.75)^2 (24.90)=4696.0 in.^3

5 0
3 years ago
At a popular Italian restaurant chain, a bowl of spaghetti without tomato sauce contains 400 kilocalories. A standard serving si
MariettaO [177]

Answer:

The answer is 3.6 servings per meal.

Step-by-step explanation:

Each meal of spaghetti has 400 kcal. We can get the amount of servings just simply dividing the meal by the standar serving size:

Servings= \frac{400 Kcal}{1 meal} \frac{1serving}{110Kcal} =3.6 \frac{servings}{meal}

5 0
4 years ago
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