How many pounds of each kind of candy (hard at $2 per pound, and soft at $4 per pound) must be mixed to

Mathematics

1 answer:

Reil [10]3 years ago

6 0

Answer:

30 pounds of hard candy and 30 pouonds of soft candy

Step-by-step explanation:

$2 per pound added with $4 per pound would become $3 per pound

x pounds plus 60 - x pounds will add up to 60 pounds

(multiply the top with the bottom)

2x + 4x = 3(60)

6x = 180

x = 30

60 - 30 = 30

You might be interested in

For an A.P. ,The first two term are -3, 4. The 21st term is

Dahasolnce [82]

Answer:

The 21st term is 137.

Step-by-step explanation:

Arithmetic progression:

In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.

The nth term is given by:

$a_n = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

The first two terms are -3, 4.

This means that $a_1 = -3, d = 4 - (-3) = 7$

$a_n = a_1 + (n-1)d$

$a_n = -3 + 7(n-1)$

The 21st term is

$a_{21} = -3 + 7(21-1) = -3 + 140 = 137$

The 21st term is 137.

4 0

3 years ago

Identify the augmented matrix for the system of equations.

lord [1]

Answer:

The augmented matrix for the system of equations is $\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$ .

Step-by-step explanation:

This system consists in three equations with three variables ( $x$ , $y$ , $z$ ).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix: