3.86
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Simplify 5/15: the numerator and denominator are both multiples of 5, so the fraction can be reduced to 1/3 by dividing the top & bottom by 5. 5/15 of a rectangle is the same as 1/3 of a rectangle.
Compare 1/2 and 5/7:
The simplest way is to ask if 5/7 is more than one half. Half of 7 is 3.5, and 5 is greater than 3.5, so 1/2 < 5/7.
The way that is a little more work is to get a common denominator and make equivalent fractions of 7/14 and 10/14.
Fraction to decimal of 4/5. 4 divided by 5 = 0.8
Decimal to fraction, 0.78:
0.78 = 78 hundredths = 78/100 as a fraction. They usually want fractions in the lowest terms, so divide the numerator and denominator by two, and you have 39/50.
Mixed to improper fraction 5 2/9: multiply the denominator of 9 times the whole number of 5, that equals 45. Add the 2 in the numerator, that is 47. Keep that over 9, because we are trying to figure out how many ninths we have. 5 2/9 = 47/9
Add ‘em 3/5 + 1/2:
Make equivalent fractions with a common denominator. (10 is the least/lowest common denominator). So we are adding 6/10 + 5/10 = 11/10 or 1 1/10.
Improper to mixed, 9/4:
We have 9 fourths. 4 fourths = 1 whole. So we get 2 wholes with 1/4 left over. 9/4 = 2 1/4.
Subtract ‘em, 3/10 - 1/5.
Again, need a common denominator/equivalent fraction. 1/5 = 2/10
3/10 - 2/10 = 1/10
Draw it, 1/3:
The circle is already divided into thirds. Shade one of them in.
Multiply ‘em 2/3 x 5:
Multiply the numerator times the whole number, leave the denominator alone. 2/3 x 5 = 10/3 = 3 1/3 if they want it converted to a mixed number.
Divide ‘em: 8/9 divided by 3 is 8/27
What’s the word?
4 x 1/2 = 2 (what is one half of 4?)
Word up:
3/5 divided by 3 = 1/5
Your grade? 14/14 = 100%
Please let me know if you have questions. Please mark brainliest if you can :) Thank you!
Answer:
A public communications director would make $1,196,800 over a period of 20 years.
Step-by-step explanation:
The median salary of an engineer is $73,400 per year.
Piper has researched that a public communications director makes $13,560 less than this. (so we need to take this amount from the salary of an engineer)
Therefore, we would have that a public communications director would make
73,400 - 13,560 = $59, 840 per year
Now, the problem asks us how much a public communications director will make over a period of <u>20 years</u>, thus, we have to multiply the amount she will get per year by 20.
Thus, over 20 years she would make: <u>59,840 x 20</u> = $1,196,800
Answer:
Step-by-step explanation:
We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.
For the price function be to continuous at 
, the value of both functions at must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.
Let us solve for k.
Therefore, the price function p is continuous at , when k is equal to 6.
Answer:
m = 11581.2 grams
Step-by-step explanation:
Given that,
The density of the ball, d = 0.2 g/in³
The radius of the ball, r = 24 inches
We need to find the mass of the ball in grams.
The density of an object is hiven by :
Put all the values,
or
m = 11581.2 grams
Hence, the mass of the ball is 11581.2 grams.
