Below is the step-by-step solution to the prob-

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Answer:

Step-by-step explanation:

-4 + 4x = -pq

Add 4 to both sides

4x = -pq + 4

Divide both sides by 4

x = $\frac{-pq + 4}{4}$

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Arada [10]

Answer: C. “BEC”

Step-by-step explanation:

5 0

2 years ago

The coffee counter charges ?"$11.00" per pound for kenyan french roast coffee and ?"$13.00" per pound for sumatra coffee. How mu

zloy xaker [14]

Answer: The answer is 13 ponds of each type should be used.

Step-by-step explanation: Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.

Let 'x' pound and 'y' pound of kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.

So, we have

$x+y=26,~~~~~~~~~~~~~~~~~~~~~~(A)\\\\11x+13y=12\times 26.~~~~~~~~~~(B)$

Multiplying equation (A) by 11 and subtracting from equation (B), we have

$13y-11y=12\times26-11\times26\\\\\Rightarrow 2y=26\\\\\Rightarrow y=13,$

and from equation (A),

$x=26-13=13.$

Thus, 13 pounds of each type of coffee should be used.

8 0

3 years ago

Are the equations lxl – 3 = 7 and [x] = 10 equivalent?

zvonat [6]

They're not equivalent.

$|x|$ (vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).

$[x]$ (square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as $\lfloor x \rfloor$ --- it depends on what your textbook/source says).

To solve $|x| - 3 = 7$ , you first transform it into the equivalent equation $|x| = 10$ . Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.