Answer:
24
Step-by-step explanation:
A is 4 times that of B ie
A = 4B (1)
A is also 3 times that of C ie
A = 3C (2)
From equation 1,
B = A/4
From equation 2,
C = A/3
But the there are 38 sweets in the 3 boxes i.e
A + B + C = 38
A + A/4 + A/3 = 38
Multiply through by 12 to express in linear form
12A + 3A + 4A = 456
19A = 456
Dive both side by 19
A = 456/19
A = 24
Answer:
A
Step-by-step explanation:
The formula for the Perimeter of a rectangle is P = 2W + 2L.
Let's equate this to 60 units and substitute 11 for W and 24 units for L:
2(11 units) + 2(24 units) = 22 units + 48 units = 70 units. NO (Answer A)
Given:
Amanda sold 13 rolls of plain wrapping paper and 12 rolls of holiday wrapping paper for a total of $208.
And,
Mofor sold 4 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $55.
Let, x be the cost of one roll of plain wrapping paper and y be the cost of one roll of holiday wrapping paper.
The equations are,
![\begin{gathered} 13x+12y=208\ldots\ldots\ldots\text{.....}(1) \\ 4x+3y=55\ldots\ldots..\ldots\ldots\ldots\text{.}(2) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2013x%2B12y%3D208%5Cldots%5Cldots%5Cldots%5Ctext%7B.....%7D%281%29%20%5C%5C%204x%2B3y%3D55%5Cldots%5Cldots..%5Cldots%5Cldots%5Cldots%5Ctext%7B.%7D%282%29%20%5Cend%7Bgathered%7D)
Solve the equations,
![\begin{gathered} 4x+3y=55 \\ 4x=55-3y \\ x=\frac{55-3y}{4} \\ \text{Put it in quation (1)} \\ 13x+12y=208 \\ 13(\frac{55-3y}{4})+12y=208 \\ \frac{715-39y}{4}+12y=208 \\ 715-39y+4(12y)=4(208) \\ 715-39y+48y=832 \\ 9y=832-715 \\ 9y=117 \\ y=\frac{117}{9} \\ y=13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x%2B3y%3D55%20%5C%5C%204x%3D55-3y%20%5C%5C%20x%3D%5Cfrac%7B55-3y%7D%7B4%7D%20%5C%5C%20%5Ctext%7BPut%20it%20in%20quation%20%281%29%7D%20%5C%5C%2013x%2B12y%3D208%20%5C%5C%2013%28%5Cfrac%7B55-3y%7D%7B4%7D%29%2B12y%3D208%20%5C%5C%20%5Cfrac%7B715-39y%7D%7B4%7D%2B12y%3D208%20%5C%5C%20715-39y%2B4%2812y%29%3D4%28208%29%20%5C%5C%20715-39y%2B48y%3D832%20%5C%5C%209y%3D832-715%20%5C%5C%209y%3D117%20%5C%5C%20y%3D%5Cfrac%7B117%7D%7B9%7D%20%5C%5C%20y%3D13%20%5Cend%7Bgathered%7D)
Put the value of y in equation (2),
![\begin{gathered} 4x+3y=55 \\ 4x+3(13)=55 \\ 4x+39=55 \\ 4x=55-39 \\ 4x=16 \\ x=\frac{16}{4} \\ x=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x%2B3y%3D55%20%5C%5C%204x%2B3%2813%29%3D55%20%5C%5C%204x%2B39%3D55%20%5C%5C%204x%3D55-39%20%5C%5C%204x%3D16%20%5C%5C%20x%3D%5Cfrac%7B16%7D%7B4%7D%20%5C%5C%20x%3D4%20%5Cend%7Bgathered%7D)
Answer:
The cost of one roll of plain wrapping paper is x = $4.
The cost of one roll of holiday wrapping paper is y = $13.
Answer:
D. independent because the outcome of the first roll doesn't affect the outcome of the second roll