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2 years ago

13

The diagram shows the number of dollars each child has a family how can you redistribute the money oth at each child

1 answer:

xeze [42]2 years ago

3 0

Answer:

0.24

Step-by-step explanation:

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Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.

fredd [130]

Solution

- 89 gallons contains 40 gallons twice such that:

$89=40+40+9$

- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.

- To get the percentage we are looking for, we should use the formula:

$\frac{\text{new}}{\text{old}}\times100\text{ \%}$

New, in this case, is 89 gallons, Old is 40 gallons.

- Thus, we can calculate the percentage as follows:

$\begin{gathered} \frac{89}{40}\times100 \\ =2.225\times100 \\ =222.5\text{ \%} \end{gathered}$

Thus, the answer is 222.5%

8 0

6 months ago

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

2 years ago

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were:

Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

$Mean=\dfrac{\sum x}{n}$

$Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}$

$Mean=\dfrac{339}{10}$

$Mean=33.9$

Formula for mean deviation is

$\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}$

$\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2$

$\text{Mean deviation}=\dfrac{41.2}{10}$

$\text{Mean deviation}=4.12$

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

8 0

2 years ago

Read 2 more answers

For the following right triangle, find the side length of x. round your answer to the nearest hundredth.

tatyana61 [14]

Answer:

14.87 units

Step-by-step explanation:

The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.

10² + 11² = x²

100 + 121 = 221²

221 = x²

√221 = √x²

14.87 = x

6 0

2 years ago

What is the equivalent decimals for 1\2

DedPeter [7]

.5 is the equivalent decimal for 1/2<span />

3 0

3 years ago

Read 2 more answers