<h3>
Answer: -5 < x < 2</h3>
Explanation:
The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"
-4 < -2x < 10
-4/(-2) > x > 10/(-2) .... inequality signs flip
2 > x > -5
-5 < x < 2
This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Answer:
4.4%
Step-by-step explanation:
47.9 divided by 11 is 4.3545454545...
Round the 4.35454545.. to the closest
This is 4.4 percent
Answer:
The answer is D
That's the only equation will get us one point
