Answer:
1/3
Step-by-step explanation:
We require the quantities to have the same dimensions.
Using the conversion
1 metre = 100 cm, then
2.1 m = 2.1 × 100 = 210 cm
The fraction can then be expressed as
70/210← divide numerator/ denominator by 70
= 1/3 ← in simplest form
2.1 times 10 = 21 feet
to convert feet into yards you must divide by 3
21/3 = 7 yards
The volume of the cylinder is between 5 and 6 gallons.
<h3>What is the volume of the cylinder?</h3>
A cylinder is a three-dimensional shape that is made up of a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
- h = height
- n = 22/7
- r = radius
22/7 x 28 x (15^2) = 19,800 cubic centimeters
First convert the volume to liters = 19,800 / 1000 = 19.8
Now convert to gallons = 19.8 / 3.785 = 5.23 gallons
Please find attached the complete question. To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
