In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
x+1
Step-by-step explanation:
We know that x^2 -6x-7 is the product of two binomials.
We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.
Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.
Using this information, we can identify the other number is 1, so the length is x+1.
Answer:
y = -.5x -.5
Step-by-step explanation:
All you do is plug in the x and y in the point to the equation, y = mx + b. Since the coordinate is (5, -3), this in the equation would look like -3 = -.5(5) +b. (all you need to find is the y-intercept, or b.) Solve it out to get -3 = -2.5 + b. Add 2.5 to each side of the equation, you're left with b = -.5. Now, put that back into the original equation, and get y = -.5x -.5. I think this is right, you can go back through and check once more if you'd like.
1.905 rounded to the nearest tenth is 1.9
8. 1,728 i did 12×18÷2=108×32=345÷2= 1,728
