Answer:
(D)
Step-by-step explanation:
The given fractions are:
.
We have to find the product of the given fractions, that is:
=
Simplifying the mixed fractions, we get
=
=
Converting the answer into mixed fraction, we get
=
which is the required answer.
Multiplication property of equality
<h3>
Answer: You are correct. </h3>
The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.
Well, we know that the first one is correct because those are the only two shapes up there. The second one is correct because a*b*c is equal to the rectangular prism, while 1/2(a*b*[d-c]) is equal to the triangular one.
Keeping in mind that 1/2*d = c, the third one is also correct because when you simplify the equation, you get
This is equal to the volume because the overall height is 2, but since it's a triangular prism, we take away one half. Because it's all multiplication, we can actually arrange all the values. But the point is that the third one is right, too, leaving the last one to be wrong.
So the last one has to be the answer. Whew!
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
<em>Distribute the -2 to 2x and 2. </em>
3. Simplify the left side: 6-4x>14
<em>Do 10-4 </em>
4. Subtract: -4x>8
<em>Subtract 6 from both sides to get x by itself</em>
5. Divide: x< -
<em>You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.</em>
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
