If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!
C. all horses that are diagnosed with enteroliths
Simplifying
8x + -6 = 7x + 10
Reorder the terms:
-6 + 8x = 7x + 10
Reorder the terms:
-6 + 8x = 10 + 7x
Solving
-6 + 8x = 10 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-6 + 8x + -7x = 10 + 7x + -7x
Combine like terms: 8x + -7x = 1x
-6 + 1x = 10 + 7x + -7x
Combine like terms: 7x + -7x = 0
-6 + 1x = 10 + 0
-6 + 1x = 10
Add '6' to each side of the equation.
-6 + 6 + 1x = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 1x = 10 + 6
1x = 10 + 6
Combine like terms: 10 + 6 = 16
1x = 16
Divide each side by '1'.
x = 16
Simplifying
x = 16
HOPE I HELPED!!! :)
Answer:
(-2, -18) and (2, 10)
Step-by-step explanation:
the answer is -18 and 10
Answer:
The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
Step-by-step explanation:
The image related to the exercise is necessary, to be able to solve therefore the attached one.
We have the following information:
Perimeter of the triangle = 58 units
Hypotenuse = 24 units
We have that the other two sides are equal and have x units, therefore we have the following:
x + x + 24 = 58
2 * x = 58-24
2 * x = 34
x = 34/2
x = 17
Now the triangle rotates around line k
, and then it will result in a cone, which is a three-dimensional shape.
Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
