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m_a_m_a [10]
3 years ago
9

The sum of -7.68 and it’s additive inverse is??

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
The answer is 0. the additive inverse of a negative number is the same number but positive. to find the sum means to add them together. for example take 2 and -2. 2 is the additive inverse of -2. if you add 2+-2 the answer comes out to 0
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Write two ratios that are equivalent to 9/12
umka21 [38]
Two ratioa that are equivalent to 9/12 are
3/4
18/24
3 0
3 years ago
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Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.
bagirrra123 [75]

Answer:

The shape can be broken into a rectangular prism and a triangular prism.

The volume of the ramp is 24 feet cubed.

Step-by-step explanation:

The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.

The volume of a rectangular prism = Bh

where

B = base area

B = length × width

h = height

volume = 1.5 × 4.8 × 2 = 14.4  ft³

The volume of a triangular prism = base area + slant height

volume = 1/2 b × h × l

where

b = base of the triangle

h = height of the triangle

l = slant height of the prism

volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6  ft³

The volume of the ramp = 14.4 + 9.6 = 24 ft³

5 0
3 years ago
Read 2 more answers
Please help me <br>solve 3x+1/2=3/8+x​
gavmur [86]

Answer:

x= -\frac{1}{32}

Step-by-step explanation:

First move the x on the right side the the left side. Now your equation is

2x+\frac{1}{2}=\frac{3}{8} Next move 1/2 to the right side. Now your equation is 4x=\frac{-1}{8}. Next divide both sides by 4 to isolate "x." Now your equation is x= -\frac{1}{32}

Hope this helped and have a great day.

(brainliest please)

6 0
2 years ago
Can u help me with this please
luda_lava [24]
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7 0
2 years ago
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
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