<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.
1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:
A2=LxW
L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)
2. When you substitute the values of L and W into the formula, you obtain:
A2=(27 cm)(21 cm)
A2=567 cm</span>²
<span>
3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:
A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches
4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:
(9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
How many of the patches can Leia cut from 33 pieces of the fabric?
The answer is: 297 triangular patches</span>
To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:
m + b = 24
b = 2m - 3
To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.
m + b = 24
m + 2m - 3 = 24
To simplify, we must first combine the variable terms on the left side of the equation using addition.
3m - 3 = 24
Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.
3m = 27
Finally, we should divide both sides by 3 in order to get the variable m alone.
m = 9
Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).
Hope this helps!
Answer:
(x+8)-x
Step-by-step explanation:
if amy is 8 more than ben
we dont know ben, so he is x
you have to subtract ben from amy
so amy is 8 more than ben, you have to add 8 to ben, who is x
To do this you first have to set this up vertically.
First you multiply through with the 2 (44×2=88). Then next, you have to multiply through with the 1 (44×1=44) But since this is the second line, you have to add the 0 to the end (440).
Now you simply add 88+440=528.
