Let's call the two numbers 
and 
.
Given these variables, we can say: 
, based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute 
in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication (
)
- Subtract
from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, 
is not a solution.
Thus, 
is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
A7.45x = y
Step-by-step explanation:
We can use a ratio to solve this problem. Take the total cost of the lunches and divide by the number of lunches.
y = total cost of lunches and
x = number of lunches
74.50 y
-------------- = ------------
10 x
Using cross products
74.5 x = 10 y
Divide each side by 10
74.5/10 x= 10y/10
7.45x = y
It’s 8/15 decimal form it’ll be 0.53 hope this helped !
Volume = 5 cm * 10 cm * 2 cm
volume = 100 cm³
massa = 700 g
Densidade = massa / volume
D = 700/100
D = 7 g / cm³
Answer:
638.32 yd²
Step-by-step explanation:
The surface area of any figure can be found by calculating the area of all the sides and finding the sum. In a rectangular pyramid, there is a rectangular base (l x w) and the same two triangles on one side and another two identical triangles on the other side.
Area of rectangle: A = l x w
Area of a triangle: A = 1/2(b)(h)
Rectangle: 16 x 13.4 = 214.4 yd²
Bottom/top triangles: 14.1 x 16 = 225.6 yd²
Side triangles: 14.8 x 13.4 = 198.32 yd²
Total: 198.32 + 225.6 + 214.4 = 638.32 yd²
