Answer:
X=10, x=4
Step-by-step explanation:
first, divide 14 by 2, and square it; giving you
x^2-14x+(7)^2=-40
Because 7^2 is 49, you have to add 49 to the other side; giving you
x^2-14x+(7)^2=9
Then factor the left side; giving you (x-7)^2=9
Take the square root of both sides, giving you
(x-7)^2= plus or minus 3
Then solve to get two solutions, 10 and 4
Answer:
Step-by-step explanation:
If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.
Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.
Multiply the coefficients and the powers of 10 with each other:

The numeric part simply yields

As for the powers of 10, you have to add the exponents, using the rule

So, we have

So, the final answer is

Answer: The unit rate is $25
Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.
Then the equation y = 25x models this relation.
Here the cost is y, and the number of lodgers is x.
We want to find the unit rate.
The actual equation should be in dollars, and the number of lodgers is just a scalar number.
so the equation should be:
y = $25*x
Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.
We already know that the price per lodger is $25, so the unit rate is $25.