Answer:
Step-by-step explanation:
y = 3x - 5
y = 1/3x + 3
3x - 5 = 1/3x + 3....multiply everything by 3 to get rid of the fraction
9x - 15 = x + 9
9x - x = 9 + 15
8x = 24
x = 24/8
x = 3
y = 3x - 5
y = 3(3) - 5
y = 9 - 5
y = 4
solution is : x = 3 and y = 4...or (3,4) <==
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
The denominator can be 3 if the numerator is 1
This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780 divide both sides by 20 and you get x=39. the answer is 39
Answer:
7446.4375
Step-by-step explanation:
105.25
x 70.75
-------------
52625
First, we will want to start with the hundredths place. multiply 5×5. We get 25. Put the 5 down and carry the 2 above 2 in 105.25. Next, we multiply 2 in 105.25 with 5 in 70.75. 2×5 is 10, then we add the carried 2, and 10+2 is 12. We put the 2 down below, and carry the 1 above 5 in 105.25. Next, we multiply the 5 in 105.25 times 5. 5×5 is 25. We then need to add the carried 1 to 25 to get 26. We put the 6 down and put the 2 over 0 in 105.25. Next, we multiply 0 in 105.25 with 5 in 70.75. 0×5 is 0, plus our carried 2 from before, so 2. We don't need to carry anything since it's only the ones digit, so we put the 0 down. Next, we multiply the 1 in 105.25 with 5 again in 70.75. 1×5=5. Since we have no carries we can put the 5 down without adding anything. If this seemed confusing, let me simplify it for you. You basically start with the bottom number's "digit". For us, that's 70.75, and 5 would be the "digit." (The last digit from the bottom number.) We then multiply this "digit" by every number from the top number's digits. For example, we'd multiply 70.75's 5, with 105.25's 5 first, then continue on going left from there. I hope this helped! If it just confused you more please let me know. (Also remember to put a 0 when you start multiplying with your second digit on the bottom number)
