Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.
Step-by-step explanation:
A straight line needs two pieces of information to be identified, a gradient and a y-intercept (technically any point will do but the y-intercept is particularly convenient if we have it).
The gradient is calculated by taking two points on the line, and dividing the change in y-coordinate by the change in x-coordinate between them. I'm going to take the points (0,-3) and (2,-2).
The change in y-coordinate is (-2) - (-3) = 1
The change in x-coordinate is (2) - (0) = 2.
Gradient = m = 1/2
Next we identify the y-intercept, the value of y when x = 0. This value is -3, and we call it c.
The equation of a line in slope-intercept form is y = mx + c. Slotting in the values for m and c we have ascertained, we find that the equation of this line is:
y = (1/2)x - 3
I hope this helps :)
Answer:
Two or more linear equations in the same variables; also called a linear system. ... A linear system with infinitely many solutions. System of Linear Inequalities. Consists of two or more linear inequalities in the same variable.
Answer: red is 13.36
Blue is 93.625
Step-by-step explanation:
Let the red marbles be y
Based on the question,red is 4times which means 4y
And blue is 7times greater than red which means 7(4y)
Blue + red=107
7(4y) + 4y=107
28y+4y=107
32y=107
Divide both sides by 32
Y=3.34
Red =4y
Red= 4(3.34)
Red =13.36
Blue= 7(4y)
Blue=7(4×3.34)
Blue= 93.625
