Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
d. 31.
Step-by-step explanation:
11^3 = 1331
31.
Answer:
A
Step-by-step explanation:
i solved it
Answer:
After 23 years , the capital will get three times as big
Step-by-step explanation:
Firstly, let us write the compound interest formula
P = I( 1 + r)^n
Since we are considering a capital rise of 3 times
If I, the initial value is x, the P
value later will be 3x
Interest rate is 5/100 = 0.05
so we need the value of t
This will be;
3x = x(1 + 0.05)^t
3= 1.05^t
ln 3 = t ln 1.05
t = ln 3/ln 1.05
t = 23 years
Answer:
Percentage = 14.2%
Step-by-step explanation:
<u>Given the following data;</u>
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92


<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>
<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>