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Vitek1552 [10]
2 years ago
6

6 people equally share 56 gummy worms. How many gummy worms does each person get? Nine and one sixth gummy worms nine and two si

xths gummy worms ten and one sixth gummy worms ten and two eighths gummy worms
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
6 0

Answer:

nine and two sixths gummy worms

Step-by-step explanation:

54/6 = 9

56 - 54 = 2

so answer:

9 2/6 - nine and two sixths gummy worms

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Find the next term for the given sequence.52, 45, 38, 31
valkas [14]
The answer is 24. To get to each term, we can see that the value is decreasing by 7. So 31 - 7 = 24
4 0
3 years ago
The area of the base of a cube is 36 in2.<br> What is the total surface area of the cube?
irina [24]
216 in^2 ( its 2 squared but that’s how I can write it on my phone)

All the sides of a cube are the same and there are 6 sides to a cube so if we have 36 as our are of the base then we just have to multiply that by 6

36 x 6= 216

4 0
3 years ago
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters abov
Hoochie [10]

Answer:

After 3 seconds

Step-by-step explanation:

Given

h(t) = -5t^2 + 14t + 3

Required

Time the drop will hit the ground

When the drop hits the ground,

h(t) = 0

So, we have:

0 = -5t^2 + 14t + 3

Rewrite as:

5t^2 - 14t - 3 = 0

Expand

5t^2 + t - 15t - 3 = 0

Factorize

t(5t + 1) -3(5t + 1) = 0

Factor out 5t + 1

(t -3)(5t + 1) = 0

Split

t -3 = 0 or 5t + 1 = 0

Solve for t

t = 3 or 5t = -1

Time cannot be negative.

So:

t = 3

5 0
3 years ago
A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
What would 135 represent in the data set below?
Citrus2011 [14]
C. The outlier because it doesn’t fit with the rest
5 0
3 years ago
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