Answer:
Step-by-step explanation:
Let x = the number of pepper plants, then (x + 6) = the number of tomato plants. Since the ratio of tomatoes to peppers is 5:2, we have the following:
5/2 = (x + 6)/x
2x + 12 = 5x
12 = 3x
4 = x = the number of pepper plants
We are given with two dimensions of a can of paint in which I assume is a cylinder: 14 cm diameter and 16 cm height. In this case, the formula to be used is V = pi*d^2*h/4. substituting the given data above, V = pi*14^2*h/16 equal to 2462 cm^3. units must be consistent throughout to achieve the right answer.
Answer:
Let bags of pecans cost = x
Make an equation :
Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)
Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)
Cost for pecans = 3x
Cost for almonds = 5(x + 3) = 5x + 15
Price of pecans + price of almonds = total cost
Solve for x:
3x + 5(x + 3) = 55 (remove brackets)
3x + 5x + 15 = 55 (add like terms)
8x + 15 = 55
8x + 15 - 15 = 55 - 15 (get rid of the 15)
8x = 40
8x/8 = 40/8
x = 5
bags pecans cost is $5
bags of almonds is $5+$3 = $8
Answer:
$15.02
Step-by-step explanation:
Given data
Total cost= $16
tax= 6.5%
let the actual cost of the slippers be x
6.5/100*x+ x= 16
0.065x+x= 16
1.065x= 16
divide both sides by 1.065
x= 16/1.065
x= 15.02
Hence the actual cost of the slippers is $15.02
As an overview, an arithmetic series has a common difference (d) while a geometric series has a common ratio (r). Common difference is calculated by subtracting two consecutive numbers. Common ratio is calculates by dividing two consecutive numbers.
1.) Geometric series (r = 1/2)
2.) Neither
3.) d = 3
19 - 16 = 3; 22 - 19 = 3; 25 - 22 = 3
4.) d = 2.8
5.8 - 3 = 2.8; 8.6 - 5.8 = 2.8; 11.4 - 8.6 = 2.8
5.) r = 4
24/6 = 4; 96/24 = 4; 384/96 = 4
6.) r = 4
12/3 = 4
