Answer:
72 inches²
Step-by-step explanation:
Let 
be equal to the width of the rectangle.
Let 
be equal to the length of the rectangle.
Plug in 12 inches as the length
Therefore, the width of the rectangle is 6 inches.
Plug in 12 inches as the length and 6 inches as the width.
Therefore, the area of the rectangle is 72 inches².
I hope this helps!
Answer:851
Step-by-step explanation:
*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
Answer:
.4 is the answer
Step-by-step explanation:
This is a right triangle problem. We have one leg as .5 in length and the other leg as 1.2 in length. The "straight" way to your grandma's house is the hypotenuse. We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water. The hypotenuse is found with Pythagorean's Theorem. It will be filled in and solved as follows:
and c = 1.3
That's the straight distance. You had to go out of your way to the tune of .5+1.2 which is 1.7 miles. You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4
Answer:
-2
Step-by-step explanation:
12 -2 x 7 = -2
