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wlad13 [49]
3 years ago
12

Evaluate the expression. Write your answer in scientific notation.

Mathematics
1 answer:
joja [24]3 years ago
5 0
1. 7.8 x 10^3
2. 4.8 x 10^8
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Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
4 years ago
Eight less than four times a number is less than 56.What are the possible values of that number
Gemiola [76]
We have the next inequation
8-4x<56

-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12

Solution: x>-12  or  (-12,+∞)
4 0
4 years ago
Workout to the simplest:<br><img src="https://tex.z-dn.net/?f=%20%20%5Cint%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20ln%28%20%7Bx%7D%
Roman55 [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the
fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0
3 years ago
Solve for n. 1/2n+3/4n=12
sveta [45]
First you add 1/2 and 3/4:
5/4n

5/4n = 12 so you divide both sides by 5/4
That gives you the answer of n= 9.6.

Hope this helped :)
7 0
4 years ago
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