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4 years ago

2 Points

Mathematics

1 answer:

LiRa [457]4 years ago

5 0

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

8a+2p=36 (Multiply by 2 to make the coefficient of p 4)

16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

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Find a general solution of y" - 6y' +10y=0.

babymother [125]

Answer:

$y(x) = e^{3x} [Acos x+Bsin x]$

Step-by-step explanation:

Given is a differential equation

$y" - 6y' +10y=0.$

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$m^2-6m+10 =0$

The above quadratic cannot be factorised hence use formula

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Hence general solution would be

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3 years ago

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Novosadov [1.4K]

Answer: 0.7506

Step-by-step explanation:

Given :Mean : $\mu=\text{ 7.8 grams}$

Standard deviation : $\sigma =\text{ 0.2 grams}$

The formula for z -score :

$z=\dfrac{x-\mu}{\sigma}$

For x= 7.65 ,

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For x= 8.2 ,

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The p-value = $P(-0.75$

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3 years ago

Paula wants to save at least $800 for a trip. Which inequality shows the least amount she must save each month for 9 months to a

ElenaW [278]

Answer:

Step-by-step explanation:

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3 years ago

What can be concluded from the pie chart?

QveST [7]

The information that can be concluded from the pie chart is in 2018, more than one-fourth of the revenue collected for state and local governments in Florida came from sales taxes.

A pie chart is a circular graph that is used to show information. The circle is divided into sectors used to represent a numerical proportion. A pie chart adds up to 100%.

The pie chart in this question shows the sources of state and local revenue for Florida in 2018. The circle is divided into seven sectors that represent the sources of revenues.

The following can be deduced from the pie chart:

Excise taxes represent 1.2% of 100% of the circle. This is the smallest source of revenue for the state of Florida. Corporate income taxes represent 2% of the circle. Income from excise tax was less than income from corporate income taxes.

The sector that represents property tax is 13.7% and the sector that represents sales tax is 26.1%. Sales tax was a greater source of revenue when compared with property tax.

The proportion of sales tax to total revenue is 26.1%. This is more than 25%(1/4) of total revenue.

To learn more about pie charts, please check: brainly.com/question/5870339?referrer=searchResults

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3 years ago

On a map, 1cm represents 65 km. If two cities are 1950 km apart, how many centimeters apart would they be on this map?

kakasveta [241]

Answer:

30 cm.

Step-by-step explanation:

We can solve this problem by making a proportion:

1 cm/65 km = x cm/1,950 km

By cross-multiplying, we can solve for x:

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7 0

3 years ago