Expand and simplify: (2x + 5y) (3x − 2y)

Answer:

Order from greatest to least: 10.5, [tex]3\pi +1[/tex], [tex]\sqrt{105}[/tex]

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

[tex]\sqrt{105} =10.2469507[/tex]

*round to the nearest tenth*

[tex]\sqrt{105} =10.2[/tex]

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = [tex]\sqrt{105}[/tex]

Your answer is

10.5 , 3[tex]\pi[/tex] + 1, [tex]\sqrt{105}[/tex]

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

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Answer:

Step-by-step explanation:

X=2,-6

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer:

option 3

Step-by-step explanation:

Answer:

it is the middle one

Step-by-step explanation:

i did it

Answer: 8.21, 8.7, 8.84, 9.1

Step-by-step explanation:

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

[tex]In(8x)=[In]8 + [In]x[/tex]

part a

The x-intercept

part b

2

The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

And, The value of slope will be 2.

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

She spends them at a rate of two every minute until she runs out.

Now,

Since, She spends them at a rate of two every minute until she runs out.

And, The number of quarters Mia has is graphed over time.

We know that;

Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.

Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

So, The slope = 2/1

                       = 2

Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.

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Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

Answer:

(2/3, 13/3)    (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

 x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5.  Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13.  Then y = 13/3, and the solution is

(2/3, 13/3)      There is exactly one solution.

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)

Answer:

Most simplified version is 1 3/7

Step-by-step explanation:

First step is turn everything into a fraction 4 into a fraction is 4/1

4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7

Here we have a problem with the multiplication of fractions.

We will find that:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

First, two things we need to remember:

[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]

Also, an integer number N can be written as:

[tex]N = \frac{N}{1}[/tex]

Now we want to solve:

[tex]4 \cdot\frac{5}{14}[/tex]

Using the above relations we get:

[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]

Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.

We can see that both are multiples of 2, so if we divide both by 2 we get:

20/2 = 10

14/2 = 7

Then we have:

[tex]\frac{20}{14} = \frac{10}{7}[/tex]

Now 7 and 10 do not have common factors, so we can't simplify it anymore.

Concluding, we get:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

If you want to learn more, you can read:

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Answer: 5 outfits

Step-by-step explanation: 17.63x2=35.26

                                             437.63+35.26+18.11=491

                                              680-491=189

                                              189 divided by 35.19= 5 (rounded)

Answer:

I think the answer is 60

Step-by-step explanation:

If you do the base times the hieght it should get you the answer.

Data: 25, 25, 26, 26, 27, 27, 28, 28, 29, 29

Answer:

18

Step-by-step explanation:

A left skewed data is one which it's tail is to the left of the distribution. This means the data is negatively skewed. One of the difference various characteristics of a left skewed data wh in could help find an answer to the question is that, for a left skewed distribution, the mean of the data is lower lesser than other measures of center and the mean falls to the left side of de of the peak. Hence, to create a data that is left skewed, we add the value from the options which will decrease the initial value of Mean.

From. The options ; adding 34 and 32 will increase the value the mean.

However, adding 18 will decrease the value value of the initial mean and hence, shift to the left of the peak.

Answer:

40 ft^2

Step-by-step explanation:

Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.

area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft

area = 48 ft^2 - 6 ft^2 - 2 ft^2

area = 40 ft^2

Answer: 40 ft^2

y=2x+23

2x is the for the number of people added every month and 23 is for the number you start with

The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).

Let's represent x is the number of months and y is the number of members.

The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).

Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

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Answer:

Gjdkv7fyfkg4kftirfkb8

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

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Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

x^5y^5

Step-by-step explanation:

here's your solution

=> if base are same then power get added in multiplication

=> so, x^2 * y^4 * x^3 * y^1

=> x^2 * x^3 * y^4 * y^1

=> x^5*y^5

hope it helps