I got 64 square feet.
My work is shown in the image.
For possible questions:
1: you can find x+7 and x-2 because the sides of the square can be measured as x, and x+7 means 7 more than the original; x-2 means 2 less than the original.
2: solved via factoring. Not sure if you've learned it or not.
3: reject the negative numbers because you can't have negative sides in a square.
Answer:
First, you need to find the number 2/5 on the number line.
Now, you want to find (3/4) times (2/5)
Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)
sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)
Another way, which should give you the exact same point, is:
First locate the point (3/4) on the number line.
Now, you want to find (3/4) times (2/5)
The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)
Because the numerator is 2, you need to move, from the origin, two of these parts to the right.
The point where you end is the product (3/4)*(2/5)
1 batch = 3 3/4 cups
4 1/2 batches = (4 1/2 x 3 3/4) = 9/2 x 15/4 = 135/8 = 16 7/8
Answer:
The dimensions are:
10 units and 12 units
10 units and 14 units
Step-by-step explanation:
∵ The area of the parallelogram is 120 units²
∵ 40 < perimeter of it < 50
∵ Perimeter of it = 2(b1 + b2)
∴ 40 < 2(b1 + b2) < 50 ⇒ ÷ 2
∴ 20 < b1 + b2 < 25
∴ b1 + b2 = 21 , 22 , 23 , 24
* We can chose any sum of them
∵ The area of the parallelogram = b1 × h1 = b2 × h2
∵ b1 × h1 = 120
∴ We can chose b1 = 10 so h1 = 12 ⇒ b2 = 11 , 12 , 13 , 14
Or we can chose b1 = 12 so h1 = 10 ⇒ b2 = 9 , 10 , 11
∴ We can chose any two dimensions above
Answer:
8 + X
Step-by-step explanation: