A) -180m
b) 510-180=+330m
+330/45=7.333m/s
c) total distance = 840m
average speed = 840/105
= 8m/s
1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
Answer:
area = 5220 in²
Step-by-step explanation:
It's a little difficult to ensure accuracy without a diagram of the net, but from what you have said, the net appears to comprise of:
- 2 rectangles: 35 x 24
- 2 rectangles: 24 x 30
- 2 rectangles: 35 x 30
Therefore, the total area of the net is:
⇒ area = 2(35 x 24) + 2(24 x 30) + 2(35 x 30)
⇒ area = 5220 in²
Christopher needs to create so that his time spent will be the same as his current time, the equation could be: 2.4x = 1.2x + 15
Answer:
2.25 (or
) g/mL
<u>Skills needed: Density</u>
Step-by-step explanation:
1) Briefly, let's cover what density is:
- It is 
- Measures the mass per unit of volume
- In this situation the formula for density is: 
--->
is the final mass
--->
is the initial mass
--->
is the final volume
--->
is the initial volume
2) In this case, we start out with a mass of 180 grams as stated in the problem, and also 50 mL of water initially.
This means that:
-
is 180 g
-
is 50 mL
3) Also, we end up with 270 g in mass, and 90 mL of water finally.
-
is 270g
-
is 90 mL
4) We can find density by substitute given the values above:

5) Our answer is 2.25 g/mL (since mass is grams (g), and volume is milliliters (mL) in the problem above).