X/49 = 21/x
x^2 = 21(49) = 1029
x = √1029 = 32.1
x = 32.1
If we work it through:
70mph is 11mph less than 3 times the fastest running speed for a man.
So 70 + 11 = 81mph is 3 times the fastest running speed for a man.
Can you see where to go from here?
Answer:
is there more to the problem
Answer: The fraction of the gifts were for birthdays = 
.
Step-by-step explanation:
Given: fraction of gifts for weddings = 
fraction of gifts for baby showers = 
Rest of the gifts = 
![=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B100-30-37%7D%7B100%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BMaking%20like%20fractions%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B100-67%7D%7B100%7D%5C%5C%5C%5C%3D%5Cdfrac%7B33%7D%7B100%7D)
Hence, the fraction of the gifts were for birthdays = .
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
