First, let's find the least common denominator, or LCD of both of them. of the two fractions.
7 and 3 both go into 21.
Now, multiply the two fractions to get the LCD. Remember, whatever you do to the bottom you must do to the top.
2/7 * 3/3 = 6/21 quart
Michael drank 6/21 quart of milk.
1/3 * 7/7 = 7/21 quart
Joel drank 7/21 quart of milk.
Add together 7/21 and 6/21 to get 13/21, the total amount of milk they both drank from the quart.
Now, subtract 13 from 21 to find how many quarts are left. Simplify if necessary.
21 - 13 = 8/21 quart
Since you can't simplify, there is 8/21 quart of milk left.
Hope I helped! <3
The merchant is required to charge him $3.6 in state sales tax
<h3>How much is the merchant required to charge him in state sales tax?</h3>
The given parameters are
Shoe price = $60
Sales tax = 6%
The above means that:
Sales tax = 6% * Shoe price
So, we have:
Sales tax = 6% * $60
Evaluate
Sales tax = $3.6
Hence, the merchant is required to charge him $3.6 in state sales tax
Read more about sales tax at:
brainly.com/question/9437038
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Answer:
GCF: 2x
Factored: 2x(x+3)(x-3)
Step-by-step explanation:
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
Converse: If you play an instrument, then you play the tuba. False
Inverse: If you don't play the tuba, then you don't play an instrument. False
Contrapositive: If you don't play an instrument, then you don't play the tuba. True
