Part A
The coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.
Part B
To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve it.
25 × 7.50 = $187.5.
0.20 × 300 = $60
Total: $187.50 + $60 = $247.50 + $40 = $287.50
Part C
If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.
Answer:
2/3
Step-by-step explanation:
Do 1/3 divided by 4/5 first.
So we are going to flip 4/5 to 5/4. The equation is now:
1/4+1/3 times 5/4
Now we are going to do the multiplication since multiply and division is before adding and subtraction.
1/3 times 5/4 = 5/12
Now we have to add 1/4+5/12
With adding ( and subtracting) we have to find the common denominator which is 12
So now we have 3/12 + 5/12 = 8/12 which reduces to 2/3
Answer:
1327
Step-by-step explanation:
V=πr²h
π(6.5)²(10)
π(42.25)(10)
π(422.5)
1327.322896
Answer:
y = -3x +7
Step-by-step explanation:
Slope intercept form is y = mx + b, and needs two things, the slope (m) and the y-intercept (b) of a line. The slope is the rise/run and the y-intercept is where the line crosses the y-axis.
From the graph, it is easy to see the y-intercept (b). The line crosses the y-axis at 7.
Next, you need to fine the slope. All you have to do is pick a point on the line and plug it into the equation y = mx + b, since you already have the y-intercept.
Let's pick an easy point like (2, 1). x = 2 and y = 1
y = mx + b
1 = m(2) + 7
To isolate m, you can first subtract 7 on both sides.
Simplifying, you would get:
-6 = m(2)
To solve for m, you just need to divide both sides by 2.
So, m = -3.
Now, you have everything you need! m = -3 and b = 7.
The equation is y = -3x +7.