Answer:
Step-by-step explanation:
11q + 5 <= 49
11q <= 44
q <= 4
answer is B
Using a system of equations, Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of pounds of almonds.
- Variable y: Number of pounds of hazelnut.
Considering that he makes 12 pounds, at a price of 12 x 10.35 = $124.2, the equations are given as follows:
From the first equation, y = 12 - x, hence, replacing in the second:
10.8x + 10.2y = 124.2
10.8x + 10.2(12 - x) = 124.2
0.6x = 1.8
x = 1.8/0.6
x = 3
y = 12 - x = 12 - 3 = 9.
Brian should use 3 pounds of almonds and 9 pounds of hazelnut to make the mixture.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
x=7
Step-by-step explanation:
The angle of a straight line is 180 degrees, so let's just say the other angle to the right of 15x+34 is "a" that means that 15x + 34 + A = 180, and since the sum of interior angles of a triangle is 180 degrees, that means that 29 + A + 12x + 26 = 180, and we can define A using this equation in terms of x.
Original equation (sum of interior angles)
A + 29 + 12x + 26 = 180
Combine like terms
A + 12x + 55 = 180
Subtract 12x and 55 from both sides
A = -12x + 125
Original equation (since a line is 180 degrees)
15x + 34 + A = 180
Substitute -12x + 125 as A
15x + 34 + (-12x + 125) = 180
Combine like terms
3x + 159 = 180
Subtract 159 from both sides
3x = 21
Divide both sides by 3
x = 7
X= 55° because their is a 90° angle so if you subtract the 35° angle you get 55 as the rest of the 90° angle
