(3+x)/(10+x)>=0.80 Which below is the first step in solving the rational inequality?

Answer:

The equation is: [tex]\frac{x+3}{7-x} = 4[/tex]

The solution is:   x = 5

Step-by-step explanation:

Let's write the statement given in math form using "x" to represent the unknown:

"a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4"

[tex]\frac{x+3}{7-x} = 4[/tex]

This is then the equation that represents the statement, and now for the solution  of the problem: solving for the unknown.

[tex]\frac{x+3}{7-x} = 4\\x+3=4\,(7-x)\\x+3=28-4x\\x+4x=28-3\\5x=25\\x=5[/tex]

Answer:

3+x

-------- = 4

7-x

x=5

Step-by-step explanation:

3+x

-------- = 4

7-x

Multiply each side by (7-x)

3+x = 4(7-x)

Distribute

3+x = 28 - 4x

Add 4x to each side

3+x+4x= 28-4x+4x

3 +5x = 28

Subtract 3 from each side

5x = 28-3

5x= 25

Divide by 5

5x/5 = 25/5

x = 5

Answer:

13.82 or 14 people

Step-by-step explanation:

Step 1: Set equation equal to 7500

7500 = -25x² + 1250x - 5000

Step 2: Solve

0 = -25x² + 1250x - 12500

0 = -25(x² - 50x + 500)

0 = x² - 50x + 500

When you use the quadratic formula, you should get 13.82, rounded to 14 people as your answer.

Alternatively, we can graph the expression and see where $7500 for x people is.

Hey there!

Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.

A. 36 and 49.

B. 49 and 64.

C. 64 and 81.

D. 81 and 100

As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.

Also, the square root of 82 is about 9.05, and this fits our answer.

Have a wonderful day!

The value of √82 is between 9 and 10 integers.

A number system is defined as a system of writing to express numbers.

We need to find the value of √82 is between which two integers.

The value of √82  is 9.05

Square root of eighty two is nine point zero five

9.05 is in between 9 and 10

Nine point zero five is between nine and ten.

Hence, the value of √82 is between 9 and 10 integers.

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

2/3

Step-by-step explanation:

There are 4 numbers that fit the rule, 3, 4, 7, 8 since they are either less than 5 or greater than 6. There are 6 numbers so the chance would be 4/6 or simplified, 2/3.

Answer:

2/3

Step-by-step explanation:

There are 6 options, 2 of them > 6 and 2 of them < 5

P (greater than 6 or less than 5)= 4/6= 2/3

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

[tex]y=69,000-8,300*10\\y=-14,000[/tex]

For equation d., when x = 10:

[tex]y=269,000-8,300*10\\y=186,000[/tex]

Therefore, the only possible answer is d. y ˆ =269,000−8300x

Answer:

a): m=3

b)n=-4

3):x1=4.59779

Step-by-step explanation:

3(m+2)/5=3 solve brackets first

3m+6/5=3  multiply each side by 5

5(3m+6)/5=15

3m+6=15     subtract 6 from each side

3m+6-6=15-6

3m=9

m=9/3=3

b): 8(n-1)/5=3n-4/2 brackets first

8n-8/5=3n-4/2     cross multiplication

2*(8n-8)=5(3n-4)    

16n-16=15n-20   put n together

16n-15n=-20+16

n=-4

3): x^3-2x=88

it is in the form of ax^3+bx^2+cx+d (a=1,b=0,c=1,d=-88)

the polynomial has no rational roots that can be found

to find the value of x1 , find the zero roots of x when y=0

x^3-2x-88=0

x1=4.59779 which lies between 4 and 5( use polynomiol calculator)

x^3-2x-88 by x-4.59779 ( polynomial calculator)

check : (4.59779)^3-2(4.59779)-88= 0( almost zero)

Answer:

From my knowledge I would say M= 31 km

Step-by-step explanation:

For each hour you subtract 20 kilometers.

Since the sixth hour was 51 kilometers,to find how many kilometers for the seventh hour we simply subtract 20 from 51.

51- 20 = 31

I really hope this helps:)

Answer:

2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.

Step-by-step explanation:

Given that:

Brenda starts from point [tex](-4,5)[/tex] to [tex](5,-4)[/tex]

Let point P [tex](-4,5)[/tex] and Q [tex](5,-4)[/tex].

But given that she need to stop by origin O[tex](0, 0)[/tex].

So, she travels from P to O first and then goes form O to Q.

Please refer to the attached figure for better understanding.

We need to find the distance PO + OQ to find the total distance traveled by Brenda.

We can use Distance formula :

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PO:

[tex]x_2 = 0\\x_1 = -4\\y_2 = 0\\y_1 = 5[/tex]

[tex]PO = \sqrt{(0-(-4))^2+(0-5)^2}\\\Rightarrow PO = \sqrt{(4)^2+(5)^2} = \sqrt{41}\ units[/tex]

Similarly, For OQ:

[tex]x_2 = 5\\x_1 = 0\\y_2 = -4\\y_1 =0[/tex]

[tex]OQ = \sqrt{(5-0)^2+(-4-0)^2}\\\Rightarrow OQ = \sqrt{(5)^2+(4)^2} = \sqrt{41}\ units[/tex]

So, the total distance traveled = PO + OQ = [tex]\sqrt{41}+\sqrt{41}=2\sqrt{41}\ units[/tex]

2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.

Answer:

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 623, \pi = \frac{95}{623} = 0.153[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.153 - 2.575\sqrt{\frac{0.153*0.848}{623}} = 0.116[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1525 + 2.575\sqrt{\frac{0.153*0.845}{623}} = 0.19[/tex]

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).

Answer:

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Step-by-step explanation:

In order to calculate which bank would be the better deal If Avery decides to deposit $7,000 for 5 years, we would have to make the following calculation:

simple interest rate of 32%.

Therefore, I= P*r*t

=$7,000*32%*5

=$11,200.

compound interest rate of 3%

Therefore, FV=PV(1+r)∧n

FV=$7,000(1+0.03)∧5

FV=$8,114.

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Answer:

The radius of the larger is 3 3/5 cm or 3.6 cm

Step-by-step explanation:

The ratio of the volumes is  that is related to the scale factor cubed

125/216  = (sf) ^3

Taking the cube root of each side

(125/216)^1/3  = (sf) ^3 ^(1/3)

5/6 = (sf)

That means the ratio of the radii is in the same proportion

5/6 = 3/ r

Using cross products

5r = 6*3

5r/5 = 18/5

r = 18/5 = 3 3/5

Answer:

9x^2-25

Step-by-step explanation:

You can solve this problem by using FOIL:

    - FOIL (First, Outer, Inner, Last)

First: 3x*3x= 9x^2

Outer: 3x*-5= -15x

Inner: 3x*5 = 15x

Last: 5*-5= -25

Now add what we got together:

9x^2 -15x +15x -25

Answer: 9x^2 - 25

Note: Whenever when we see conjugates(coefficients of variables are same but real numbers are opposites) like these we can ignore the outer and inner of the foil process as they cancel out.

Hope this helps!

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            Hi my lil bunny!

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[tex]9x^2 - 25[/tex]

Explanation:

[tex]( a + b) ( a - b ) = a^2 - b^2[/tex]

Substitute with 3x and b with 5:

[tex](3x + 5) (3x - 5) = (3x)^2 - 5^2\\[/tex]

[tex]= 9x^2 - 25[/tex]

∴ [tex]( 3x + 5) ( 3x - 5) = 9x^2 - 25[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

B.

Step-by-step explanation:

Hello

step 5 is wrong

because 2 + 10/2

[tex]2+\dfrac{10}{2}=\dfrac{4}{2}+\dfrac{10}{2}=\dfrac{14}{2}[/tex]

is different from (2+10)/2

[tex]\dfrac{2+10}{2}=\dfrac{12}{2}[/tex]

as there is no parentheses you have the follow the correct priorities

division first, do 10/2=5 and then the addition 5 + 2 = 7

hope this helps

Answer:

Step 5 is incorrect

Step-by-step explanation:

You dont have to solve this to figure it out.

Remember the Order of Operations:

         1. Parenthesis

                 2. Exponents

                        3. Multiplication & Division

                              4. Addition & subtraction

You can see that in step 5, they added instead of divided.

It should have gone from 2 + 10 / 2  ----->   2+ 5. And then its a different final solution as well.

Hope this helps! If not, comment on it and let me know about my error. Have a great day!!

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation [tex] \sigma [/tex] = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

[tex] S.E = \frac{\sigma}{\sqrt{n}} [/tex]

[tex]= \frac{2}{\sqrt{45}}[/tex]

[tex] = \frac{2}{6.7082} [/tex]

[tex] SE = 0.298 [/tex]

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

[tex]t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802[/tex]

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

Answer: 375%

Step-by-step explanation:

375%.  Simply do 2250/600 to get 3.75, or 375%.

Hope it helps <3

Step-by-step explanation:

x=p-2.1/2

p=perimeter

Answer: [tex]C. f(x) = 3(2^x)[/tex].

Step-by-step explanation:

If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :

[tex]Y=kf(x)[/tex]

The given function : [tex]f(x)=2^x[/tex]

If the given function vertically stretched by a scale factor of '3', then the new function will be :

[tex]Y=3f(x)=3(2^x)[/tex]

Hence, the correct option is [tex]C. f(x) = 3(2^x)[/tex].

Answer:

[tex]\large \boxed{\sf \ \ \sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=5x^3\sqrt{6} \ \ }[/tex]

Step-by-step explanation:

Hello,

First, of all, as x is positive we know that:

[tex](\sqrt{x})^2=|x|=x[/tex]

Let's simplify the expression:

[tex]\sqrt{3x^4}\cdot \sqrt{5x^2}\cdot \sqrt{10}=\sqrt{3}\cdot x^2\cdot \sqrt{5}\cdot x\cdot \sqrt{2\cdot 5}=x^3\cdot \sqrt{3\cdot 5\cdot 5 \cdot 2}\\ \\=5x^3\sqrt{6}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

700.3

Step-by-step explanation:

dont know if it's right.

Answer:

314- The unknown digit is 1

Step-by-step explanation:

16*314=5024

5024/16=314

Hope this helps ;) ❤❤❤

Answer:

slope = 1/3, equation is y = 1/3x - 2

Step-by-step explanation:

slope formula = change in y / change in x

= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3

Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.

Answer:

y=1/3x -2

Step-by-step explanation:

points (0, -2) and (6, 0)

Slope- intercept form:

y=mx+b

y=1/3x+b

y=1/3x -2

Answer:

  64π in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

where r is the radius.

The radius of a circle is half the diameter. For the circle shown, the radius is ...

  r = d/2 = (16 in)/2 = 8 in

Then the area is ...

  A = π(8 in)² = 64π in²

_____

Often, units are left off, so the appropriate choice might be 64π.

_____

If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.

Answer:

4 cm^2/cm

Step-by-step explanation:

The area of a square is given by the equation:

[tex]Area = side^2[/tex]

To find the rate at which the area increases, we just need to find the derivative of the area in relation to the side:

[tex]dA/ds = 2*side[/tex]

So, when the side length is 2 cm, the rate at which the area increases is:

[tex]dA/ds = 2*2 = 4\ cm^2/cm[/tex]

When the side length is 2 cm, the area increases at 4 cm^2/cm.

Answer:

Don't quote me i think the poulation of 3

Step-by-step explanation:

for 9 suared is 81 so it cant be squared for then it would be 81cm and the one you need can not be longer than 1cm

The minimum sample size should be 35.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Given:

Variance= 9

So, standard deviation= √9 = 3

and, The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.

Then, Sample size= Critical value x SD / Margin error

= 1.96 x √ 3 / 139

= 34.57

= 35

Hence, the minimum sample size should be 35.

Learn more about Confidence Interval here:

https://brainly.com/question/14046633

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Answer:

Answer D: Construct Y because it constructs the circumcenter.

Step-by-step explanation:

Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.

Answer:

Yes.

Step-by-step explanation:

If you write out the coordinates, you can see that you can do the Vertical Line Test and confirm that if you were to write a function, it would be an actual function. No 2 x-values can be the same y-values. The coordinates all have separate xy values (or the same exact xy values) and you can determine a function.

Answer:

YES

Step-by-step explanation:

let's organize our information :

Notice how when the chair's height is growing by 1 the same happens for the tables

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

__

For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

  1 +90/(60 -C) = 4.225

  C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

Answer:

136°

Step-by-step explanation:

x and 44° represents the measures of opposite angles of a cyclic quadrilateral.

Since, opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore \: x + 44 \degree = 180 \degree \\ \therefore \: x = 180 \degree - 44 \degree \\ \therefore \: x = 136 \degree[/tex]

Answer:

x = 136°

Step-by-step explanation:

180° = x + 44°

180 - 44 = x + 44-44

136° = x

= 136°