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Veseljchak [2.6K]
3 years ago
11

10x -15x + 5= -45 + 20

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

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Ms. Carson's art class made a large rectangular mural. The length of the mural is 9 feet, and it's area is 72 square feet. What
lorasvet [3.4K]
You do the reverse and divide the 2 values to find out the last one

72/9 = 8

Do you get it?
8 0
3 years ago
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Find the LCM of the numbers using prime factorizations. 36,60
alexandr402 [8]
36=2*2*3*3=2²*3²
60=2*2*3*5=2²*3*5

LCM(36,60)=2*2*3*3*5=2²*3²*5=180
5 0
3 years ago
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
Please HELP!!! Due tonight and I’m so worried.
ExtremeBDS [4]

Answer:

third one should be about f

6 0
3 years ago
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A cone has a diameter of 3 inches the cone holds 12 cubic inches of water to the nearest in what is the height
LUCKY_DIMON [66]

Answer:

5 inches

Step-by-step explanation:

A cone's volume can be found using the formula V = \frac{1}{3} \pi r^2 h. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

V = \frac{1}{3} \pi r^2 h \\12 = \frac{1}{3} \pi (1.5)^2 h \\12 = \frac{1}{3} \pi (2.25) h\\12 = 2.355h\\5.10 = h

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.

3 0
3 years ago
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