Rewrite in simplest terms:(10x+3y)−(2x−4y)

It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.

It should be noted that an equation is used.to show the relationship between the expressions that are given.

It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.

This will be equated to this:

3x = 9x - 30

Collect like terms

9x - 3x = 30

6x = 30

Divide

x = 30 / 6

x = 5

Note that y = 3x = 3 × 5 = 15

Therefore, it should be noted that when the value of y is 15 and only the first step is correct.

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Answer:

40

Step-by-step explanation:

40

Answer:

x<6

Step-by-step explanation:

The Product(multiplication) of -2 and a number(x) minus(-) six IS(=) greater than(>) -18.

Which gives you: -2x-6>-18

First step is to get the -2x by itself so we add 6 to both sides.

-2x>-12

We then want to get x by itself so we divide by -2 on both sides. Don't forget to flip the inequality sign because we are dividing by a negative.

x<6

Answer:

the incidence rate is 28.47

Step-by-step explanation:

The computation of the monthly incident rate of active cases is shown below:

Incidence rate is

= 1325 ÷  (47175 - 642) × 1000

= (1325 ÷ 46533 ) ×  1000

= 28.47

hence, the incidence rate is 28.47

Answer: I'm sorry, I am not able to create or upload spreadsheets in this platform due to recent restrictions. However, you can easily create this table in a spreadsheet program like Microsoft Excel and use built-in functions to find the desired information.

To answer the questions:

a. To find the percentage of the total that Labor makes up, you would divide the total Labor expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.

b. To find the percentage of the total that Business 4's expenses make up, you would divide Business 4's Total expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.

c. To find Business 5's labor cost as a percentage of the total labor expenses, you would divide Business 5's Labor expenses by the overall Labor expenses, then multiply by 100 to express the answer as a percentage.

d. To find the percentage of Business 5's expenses that Supplies make up, you would divide Business 5's Supplies expenses by Business 5's Total expenses, then multiply by 100 to express the answer as a percentage.

Step-by-step explanation:

The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

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Answer:

C

Step-by-step explanation:

We want to evaluate the definite integral:

\(\displaystyle \int_0^1 (x+2)(3x^2+12x+1)^{1/2}\, dx\)

Again, notice that the radicand is quite similar to the outside factor. So, we can use u-substitution again. We will let:

\(\displaystyle u=3x^2+12x+1\)

Then:

\(\displaystyle \frac{du}{dx}=6x+12\)

Hence:

\(\displaystyle du=6x+12 \, dx\)

And we can divide both sides by 6:

\(\displaystyle \frac{1}{6}\, du=x+2\, dx\)

Note that the limits of integration of our original integral (from x = 0 to x = 1) is in the domain of x. Since we changed variables, we should also change the limits of integration to u. So:

\(u(0)=3(0)^2+12(0)+1=1\)

And:

\(u(1)=3(1)^2+12(1)+1=16\)

Hence, our new limits of integration is from u = 1 to u = 16.

Perform the substitution:

\(\displaystyle =\int_{1}^{16} u^{1/2}\Big(\frac{1}{6}\, du\Big)\)

Simplify:

\(\displaystyle =\frac{1}{6}\int_1^{16}u^{1/2}\, du\)

Integrate:

\(\displaystyle =\frac{1}{6}\Big(\frac{2}{3}u^{3/2}\Big)\Big|_{1}^{16}\)

Simplify:

\(=\displaystyle \frac{1}{9}\Big(u^{3/2}\Big|_1^{16}\Big)\)

Evaluate:

\(\displaystyle =\frac{1}{9}\Big(16^{3/2}-1^{3/2}\Big)=\frac{1}{9}(64-1)=7\)

The answer is C.

A. The equation that relates these variables is:

d = s * t. B. The biker would travel 10 miles in 20 minutes. C. The biker would bike for 96 minutes to travel 48 miles. Rounded to the nearest tenth, this is 96.0 minutes.

a. Let's define the variables:

t = time in minutes

d = distance traveled by the biker in miles

s = speed of the biker in miles per minute

The equation that relates these variables is:

d = s * t

b. If the biker travels for 20 minutes, we can use the equation above to find the distance traveled:

d = s * t

d = s * 20 (since t = 20 minutes)

We need to know the speed of the biker to calculate the distance traveled. Let's assume that the biker's speed is 0.5 miles per minute (which is equivalent to 30 miles per hour):

d = 0.5 * 20

d = 10

Therefore, the biker would travel 10 miles in 20 minutes.

c. If the biker traveled 48 miles, we can rearrange the equation above to find the time:

d = s * t

t = d / s

We need to know the speed of the biker to calculate the time. Let's assume that the biker's speed is still 0.5 miles per minute:

t = 48 / 0.5

t = 96

Therefore, the biker would bike for 96 minutes to travel 48 miles. Rounded to the nearest tenth, this is 96.0 minutes.

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Answer:

530

Step-by-step explanation:

200+6(55)

6x55=330

200+330=530

Answer:

slope: 0.5x

Step-by-step explanation:

1. -x +10

2. -1/ 2 = -0.5

3. 10/2 = 5

4. y = 0.5x + 5

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer: 5 units

Step-by-step explanation:

\(C(3,4)\ \ \ \ \ D(-1,1)\\\\L_{CD}=\sqrt{(x_D-x_C)^2+(y_D-y_C)^2}\\\\L_{CD}=\sqrt{(-1-3)^2+(1-4)^2} \\\\L_{CD}=\sqrt{(-4)^2+(-3)^2} \\\\L_{CD}=\sqrt{16+9} \\\\L_{CD}=\sqrt{25} \\\\L_{CD}=5\ units\)

Answer:  12 m²

Step-by-step explanation:

Find height first:

It would be a 3-4-5 triangle, (or you could use Pythagorean theorem) so the height would equal 4.

Equation:

\(\frac{1}{2}bh\) = \(\frac{1}{2}\)(6)(4) = 12 m²

Answer:

190.625 ft^2

Step-by-step explanation:

A = bh = (15.25) * (12.5) = 190.625 ft^2

Answer:

190

Step-by-step explanation:

All you have to do is multiply the dimensions(...that's what the formula states)

So, 15.2 × 12.5 = 190ft^2

NEVER FORGET YOUR UNIT, in this case it's ft^2(always 2/square when it's area)

You're very welcome and good luck :)

Answer:

Slope = –3

Step-by-step explanation:

From the question given above, the following data were obtained:

x coordinate:

x₁ = –3

x₂ = 3

y coordinate:

y₁ = 14

y₂ = –4

Slope =?

Next, we shall determine the change in the x coordinates. This can be obtained as follow:

x₁ = –3

x₂ = 3

Change in x coordinate (Δx) =?

Δx = x₂ – x₁

Δx = 3 – (–3)

Δx = 3 + 3

Δx = 6

Next, we shall determine the change in the y coordinates. This can be obtained as follow:

y₁ = 14

y₂ = –4

Change in y coordinate (Δy) =?

Δy = y₂ – y₁

Δy = –4 – 14

Δy = –18

Finally, we shall determine the slope. This can be obtained as follow:

Change in x coordinate (Δx) = 6

Change in y coordinate (Δy) = –18

Slope =?

Slope = Δy / Δx

Slope = –18 / 6

Slope = –3

Answer:

Step-by-step explanation:

B(0, -14) ⇒ x₁ = 0 & y₁ = -14

F(4,6) ⇒  x₂ = 4 & y₂ = 6

\(Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)\)

                \(=\left(\dfrac{0+4}{2},\dfrac{-14 + 6}{2}\right)\\\\\\= \left(\dfrac{4}{2}, \dfrac{-8}{2} \right)\\\\\\=\left(2, -4 \right)\)

The probability P(not purple) is (a) 64%

From the question, we have the following parameters that can be used in our computation:

2 red, 4 green, 10 yellow, and 9 purple marbles.

This means that

P(not purple) = (not purple)/Total

Substitute the known values in the above equation, so, we have the following representation

P(not purple) = (2 + 4 + 10)/(2 + 4 + 10 + 9)

Evaluate

P(not purple) = 64%

Hence, the probability is 64%

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Answer:

volume = 360 inches³

Step-by-step explanation:

The can itself is a cylinder. The volume of a cylinder can be calculated as follows

volume of a cylinder  = πr²h

where

r = radius

h = height

1/3 of the height was cut off that means  1/3 × 12 = 4 inches of the height was cut off.  The new height of the can will be 12 - 4 = 8 inches. Therefore,

volume = πr²h =

base area which is the area of a circle = πr² = 45 inches²

volume = 45 × 8

volume = 360 inches³

Given

To find the solution set of the linear quadratic system of equations.

Explanation:

It is given that,

From, the figure the points C and E are the solution sets of the linear quadratic system of equations.

Answer:

Fudge: 16.69230766

Peanut: 14.30769228

Step-by-step explanation:

7/5x+6/5x = 31/5

13/5x = 31/5

13x=31

x=2.38461538

Multiply x by 7 for fudge and 6 for peanut.

Answer:

s + 1 = 2s

s = 1

Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

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Answer:

x = 6

Step-by-step explanation:

2x + 7 = 19

     -7     -7

2x = 12

*divide both sides by 2*

x = 6

10+6+9+13+7= 45

and divide it by 5

the answer is 9

the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it

Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways

With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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