Answers: 12-x=3 | x+3y=27 | 4y-10=14 | 1/3xy=18
Explanation: x=9 and y=6
12-(9)=3 | (9)+3(6)=27 | 4(6)-10=14 | 1/3(9)(6)=18
Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
1/2 + 1/2 + 2/3 + 3/4 + 47/48 + 48/49 +49/50 = 5.35542517007
This decimal form is ≈ to 5 2/5