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mario62 [17]
3 years ago
15

• What can you say about the values of 180 and 2x2x3x3x5?

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

2×2×3×3×5 are the prime factors of 180

Step-by-step explanation:

If you draw a factor tree, you would find that 2x2x3x3x5 are the prime factors of 180

hope this helps :)

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Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?
Firlakuza [10]

Answer:

  12

Step-by-step explanation:

Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...

  10d +100(16-d) = 520

  -90d +1600 = 520 . . . . . eliminate parentheses, collect terms

  -90d = -1080 . . . . . . . . . . subtract 1600

  d = -1080/-90 = 12 . . . . . divide by the coefficient of d

Lily has 12 ten-cent coins.

4 0
3 years ago
Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation 6\sin\left(\dfrac{\pi }{5}x\right)=5 by 6:

\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.

Then

\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,

x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.

Since \arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},

four smallest positive solutions are

1. \dfrac{5}{3.2}\approx 1.568,\ k=0;

2. \dfrac{-5}{3.2}+5\approx 3.432,\ k=1;

3. \dfrac{5}{3.2}+10\approx 11.568,\ k=2;

4. \dfrac{-5}{3.2}+15\approx 13.432,\ k=3.

3 0
3 years ago
I'll probably post alot of math, that's what I need to get 80% in today and I have like 50%
ExtremeBDS [4]

Answer:

Step-by-step explanation:

1. (6/a)x + 5 = 4

(6/a)x = -1

  6x = -a

x = -a/6

2. 2ax + 7 = 13

2ax = 6

ax = 3

x = 3/a

3. -ax - 20 = -14

-ax = 6

x = -6/a

5 0
3 years ago
Prime factor of 2080
MariettaO [177]

Answer:

2 x 2 x 2 x 2 x 2 x 5 x 13

Step-by-step explanation:

The Prime Factorization is:

2 x 2 x 2 x 2 x 2 x 5 x 13

In Exponential Form:

25 x 51 x 131

CSV Format:

2, 2, 2, 2, 2, 5, 13

7 0
3 years ago
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It is d because corona virus
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