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ValentinkaMS [17]
3 years ago
6

What number is 33 1/3% of 66​

Mathematics
1 answer:
Korolek [52]3 years ago
7 0

Answer: 22

22 should be the correct answer

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Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error? In S
nordsb [41]

The picture with the complete question is attached below :

Answer:

In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10

Step-by-step explanation:

90 * x - 90 * 12 = 90(x - 12)

From the question, x = 10

Hence,

90(10 - 12)

(90* 10) - (90 * 12) - - - > correct evaluation

900 - 1080

= - 180

Hence, both values in the bracket, that is 10 and - 12 should be multiplied by 90. Not just 10 alone.

3 0
3 years ago
At 4:00 am, the outside temperature was -28*F. By 4:00 P.M. it rose 38 degrees. What was the temperature at 4:00 P.M. ?
andreyandreev [35.5K]
The answer would be 10 degrees
i hope this helps
7 0
3 years ago
Solve for R= 2(r-4)=-4(r-2)+4
motikmotik

Answe

(R,r)=(-2/5,10/3)

hope it helps.

4 0
3 years ago
Read 2 more answers
The number of children at the liberty was 3 times the number of adults. The total number of people at the liberty was 48. How ma
Black_prince [1.1K]

Answer:  32

Step-by-step explanation:

48 people at the liberty and there are 3 times the number of adults 48 divided by 3 would be 16 kids and 48 - 16 would be 32

5 0
3 years ago
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interv
sleet_krkn [62]

Answer:

(0, 16]

Step-by-step explanation:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (x−8)ⁿ / (n 8ⁿ)

According to the ratio test, if we define L such that:

L = lim(n→∞) |aₙ₊₁ / aₙ|

then the series will converge if L < 1.

aₙ = (-1)ⁿ⁺¹ (x−8)ⁿ / (n 8ⁿ)

aₙ₊₁ = (-1)ⁿ⁺² (x−8)ⁿ⁺¹ / ((n+1) 8ⁿ⁺¹)

Plugging into the ratio test:

L = lim(n→∞) | (-1)ⁿ⁺² (x−8)ⁿ⁺¹ / ((n+1) 8ⁿ⁺¹) × n 8ⁿ / ((-1)ⁿ⁺¹ (x−8)ⁿ) |

L = lim(n→∞) | -n (x−8) / (8 (n+1)) |

L = (|x−8| / 8) lim(n→∞) | n / (n+1) |

L = |x−8| / 8

For the series to converge:

L < 1

|x−8| / 8 < 1

|x−8| < 8

-8 < x−8 < 8

0 < x < 16

Now we check the endpoints.  If x = 0:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (0−8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -(-1)ⁿ (-8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -(8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -1 / n

This is a harmonic series, and diverges.

If x = 16:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (16−8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° (-1)ⁿ⁺¹ (8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° (-1)ⁿ⁺¹ / n

This is an alternating series, and converges.

Therefore, the interval of convergence is:

0 < x ≤ 16

Or, in interval notation, (0, 16].

4 0
3 years ago
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