Answer:
A,D,E
Step-by-step explanation:
A) (5)+3=8
D)12x5=60
E) 12+5=17
Answer:
= 3.65.
Step-by-step explanation:
You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.
D + Q = 23
You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:
0.10*D + 0.25*Q = 3.65
That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.
So you have a system of linear equations:
D + Q = 23
0.10D + 0.25Q = 3.65
I'm going to multiply the bottom row by 100 to clear the decimals.
D + Q = 23
10D + 25Q = 365
Now I can multiply the top row by -10 to eliminate the D terms
-10D - 10Q = -230
10D + 25Q = 365
________________
0D + 15Q = 135
15Q = 135
Q = 9
Tom has 9 quarters.
If D + Q = 23, and Q = 9, then:
D + 9 = 23
D = 14
Tom has 14 dimes.
Always good to double check:
9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.
2.25 + 1.40
He enlarged shape B by 300%
The easiest way is a successive division by 4:
1st division: 2032/4 = 508 and 0 (0 is the 1st Remaining)
2nd division 508/4 = 127 and 0 (0 is the 2nd Remaining)
3rd division 127/4 = 31 and 3 (3 is the 3rd Remaining)
4th division 31/4 = 7 and 3 (3, is the 4th Remaining)
5th division 7/4 = 1 and 3 (3 is the 5th Remaining)
Now you write the last quotient (the 5th) , that is 1 and add to it all remaining starting from the 5th , backward to the 1st remaining,
133300
Step-by-step explanation:
6+ 7•log2 x = 21
7.log2 x = 21-6
7. log2 x = 15
log2 x = 15/7
x = 2^(15/7)
x = 4.416 = 4.42
