137 - 16X = Y
Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:
137 - 16X = Y
Thus, for example, after 5 minutes the calculation would be as follows:
- 137 - 16 x 5 = Y
- 137 - 80 = Y
- 57 = Y
Learn more about maths in brainly.com/question/25989509
Answer:
Step-by-step explanation:
![(\sqrt[4]{9})^{\frac{1}{2}x}=(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B9%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%3D%289%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%5C%5C%5C%5C%3D9%5E%7B%5Cfrac%7B1%7D%7B4%7D%2A%5Cfrac%7B1%7D%7B2%7Dx%7D%5C%5C%5C%5C%3D9%5E%7B%5Cfrac%7B1%7D%7B8%7Dx%7D)
9514 1404 393
Answer:
$19.72
Step-by-step explanation:
The sales tax is 13% of $17.45:
0.13 × $17.45 = $2.27 . . . . . . rounded (up) to the nearest cent
Then the total Shayna will pay is ...
$17.45 +2.27 = $19.72
F = 
express the equation with F on the left side
3F - 24 = s ( add 24 to both sides )
3F = s + 24 ( divide both sides by 3 )
F =
Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
