Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
x⁴(4x+1)
4x⁵+x⁴
degree is 5
Step-by-step explanation:
Given the simultaneous equation
5c+4p=18.40 ..... 2
2c+4p=11.20.......2
According to the equation given 7c+8p=29.60, we will see that the two equation was added to get the required equation in question. Note that this equation 7c+8p=29.60 cannot help us to solve the simultaneous equation because the resulting equation is one equation with two unknown variables. For us to get a solution to the simultaneous equation, we need to reduce the system of equation to just an equation and a variable. This can be gotten by taking the difference of the two equation as shown: (Elimination method)
Equation 1 - equation 2 will give;
(5c-2c)+(4p-4p) = 18.40-11.20
3c+0 = 29.60
3c = 29.60
Divide both sides by 3
3c/3 = 29.60/3
c = 9.87
Substitute c = 9.87 into equation 2
From 2: 2c+4p = 11.20
c + 2p = 5.60
9.87 + 2p = 5.60
2p = 5.60 - 9.87
2p= -4.27
p = -4.27/2
p = -2.135
You can see that what helped in solving the system of equation is by eliminating one of the variables first using the Elimination method.
The last time David filled up his truck with gas, he paid $27.44 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
