Answer:
-9
Step-by-step explanation:
2t + 8= -10
2t= -10-8 you bring 8 and it turns to a negative and. then you just minus it negative 10.
2t= -18. you divide both by 2
t= -9
First, convert all of the fractions to decimals:
2.5x - .75 (2x + 5) = .375
Then distribute the parenthesis:
2.5x - 1.5x + 3.75 = .375
Subtract the 1.5x:
1x + 3.75 = .375
Subtract 3.75 from both sides:
1x = -3.375
Convert back to fraction:
1x = -3 375/1000
Simplify:
X = -3 3/8
<h3>Answer:</h3>
- no
- yes
- no
- yes
- yes
<h3>Explanation:</h3>
The distributive property is useful both for collecting terms and for eliminating parentheses.
1. 3x +1/4 -x +1 1/2 = x(3 -1) +(1/4 +1 2/4) = 2x +1 3/4 ≠ 4x +1 3/4 (no)
2. 2(3x+1) = 2·3x + 2·1 = 6x +2 = 2 +6x (yes)
3. 3(x+1) -(1+x) = (x+1)(3 -1) = 2(x+1) = 2x +2 ≠ 2x +3 (no)
4. 4(x+1)-x-4 = 4x +4 -x -4 = x(4-1) +(4-4) = 3x +0 = 3x (yes)
5. 5.5 +2.1x +3.8x -4.1 = x(2.1 +3.8) +(5.5 -4.1) = 5.9x +1.4 = 1.4 +5.9x (yes)
To find the total surface area, you need to find the area of the three rectangles and two triangles of that prism.
Area of the two triangles
= 2 x 1/2 x 12 x 5
= 60
Area of the bottom rectangle
= 12 x 24
= 288
Area of the standing rectangle
= 5 x 24
= 120
To find the area of the sloping rectangle, you need to find the length of one side of it. You do that by finding the hypotenuse of the triangle.
So, hypotenuse of the triangle
= square root of (5 squared + 12 squared)
= 13
Area of sloping rectangle
= 24 x 13
= 312
Total surface area of prism
= 60 + 288 + 120 + 312
= 780.
Hopefully that helped. :)
Answer:
There is no insufficient sufficient evidence to support the claim that the rate of polio is less for children given the vaccine than it is for children given a placebo.
