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jarptica [38.1K]
2 years ago
13

\frac{1}{2} + \frac{1}{4} " alt=" \frac{1}{2} + \frac{1}{4} " align="absmiddle" class="latex-formula">
can you please tell me how to do easy way can you please show me in numbers how to multiply ​
Mathematics
2 answers:
Dafna1 [17]2 years ago
7 0

we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.

2 = 2 * 1

4 = 2 * 2 * 1

well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.

\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}

Luba_88 [7]2 years ago
6 0
Answer: 3/4

Explanation: Find a common denominator (bottom number) for both fractions. 4. Multiply the 1 and 2 in 1/2 to get 2/4. Then just add the numerators (top number). This gives you 3/4.
I noticed you also said show me how to multiply. For fractions, you just mutiply the numeration and denominator apart.
1 x 1 1
- - = -
2x 4 8
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Please help I don’t know what to do explanation would help thank you
Dafna1 [17]

Answer:

5.62 I used a calculator to find the answer

4 0
4 years ago
Jazz and Catherine can eat 50 pounds bag of peanuts in 30 days jazz himself it's 50 pounds of peanuts two weeks last time then C
Cerrena [4.2K]

Answer:

  67.8 days

Step-by-step explanation:

We assume the problem statement is supposed to read ...

Jazz and Corbin can eat 50 pounds of peanuts in 30 days. Jazz by himself eats 50 pounds of peanuts in two weeks less time than Corbin does by himself. How many days will it take for Corbin to eat the 50 pounds of peanuts by himself?

__

Let c represent the number of days it takes Corbin to eat 50 lbs of peanuts. Then c - 14 will be the number of days it takes Jazz to eat 50 lbs of peanuts. Working together, they eat 50 lbs of peanuts in 30 days, so ...

  Jazz's peanuts per day + Corbin's peanuts per day = total peanuts per day

  50/c + 50/(c-14) = 50/30

Multiplying by (3/5)c(c-14), we get ...

  30(c -14) + 30c = c(c -14)

Subtracting the left side gives ...

  c^2 -14c -60c +420 = 0

  c^2 -74c +1369 = 1369 -420 . . . . subtract 420, add 1369 to complete the square

  (c -37)^2 = 949 . . . . . . . . . write more compactly

  c = 37 +√949 ≈ 67.8 . . . . square root and add 37

It will take 67.8 days for Corbin to eat 50 lbs of peanuts by himself.

5 0
3 years ago
there are 435 representatives in the U.S house of representatives. Approximately 12.2% of the representatives are from Californi
tankabanditka [31]
435(12.2/100)

5307/100

53.07 :P  people are integers so about 53 representatives are from California  (Precisely why we have a Senate with two from each state LOL)
4 0
3 years ago
5x-3y=20 line perpendicular
Galina-37 [17]

Answer:

y=(-3/5)x

Step-by-step explanation:

5x-3y=20

-3y=-5x+20

y=(5/3)x-(20/3)

perpendicular lines have opposite reciprocal slopes

5 0
3 years ago
Read 2 more answers
George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T
pentagon [3]

Answer:

Part A) \$12,220.00

Part B) \$12,134.08

Part C) The simple interest investment is better than the compounded  interest investment at the end of three years.

Part D)  see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074

substitute in the formula above

A=10,000(1+0.074*3)

A=10,000(1.222)

A=\$12,220.00

Part B) Determine the value of the compound-interest investment at the end of three years

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4

substitute in the formula above

A=10,000(1+\frac{0.065}{4})^{4*3}  

A=10,000(1.01625)^{12}  

A=\$12,134.08

Part C) Which investment is better over the first three years?

Compare the two investment

\$12,134.08 < \$12,220.00

The compounded  interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded  interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

A=10,000(1+0.074t)  ----> simple interest formula as a function of the time t

A=10,000(1.01625)^{4t}   ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0
3 years ago
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