The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.

Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.
​

Answer:

need points

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

$10 ÷ 8 = $1.25 ($1.25 per inch)

$1.25 x 16 = $20

A 16 inch pizza will sell for $20

Hope this helped :)

Answer:

3/8

Step-by-step explanation:

3/4 x 1/2 = 3/8

3/8 x 1/1 = 3/8

Hope that helps!

Answer:

Triangle

Step-by-step explanation:

It has three side unlike the others can't have three sides

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

x = 7

Explanation:

First, we need to subtract 16 from both sides of the equation:

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 16 - 16

x² - 6x - 7 = 0

Now, we need to factorize the expression, so we need to find two numbers that multiply to -7 and add to -6. These numbers are -7 and 1, so:

x² - 6x - 7 = 0

(x - 7)(x + 1) = 0

So, the solutions of the equation are:

x - 7 = 0

x - 7 + 7 = 0 + 7

x = 7

or

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1

Therefore, the positive solution to the equation is x = 7

Answer:

(x+3) (x-20)

Step-by-step explanation:

No he is not correct .

x^2-17x-60

=x^2-20x+3x-60

=x(x-20) +3(x-20)

(x+3) (x-20)

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

I have no clue what part B is asking because I can't read it, but here is part A!

AB/PQ = 2/3

AC/PR = 2/3

BC/QR = 2/3

Step-by-step explanation:

Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.

So, AB/PQ = 6/9 = 2/3

And, AC/PR = 8/12 = 2/3

Also,  BC/QR = 10/15 = 2/3

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The mean of the probability distribution is 3.188, the sampling distribution is 2.25 and x is an unbiased estimator.

a. To find the mean (u) of a probability distribution, we calculate the expected value as follows:

u = ∑x * p(x) = (0.5 * 0.0625) + (2.5 * 0.125) + (0.25 * 0.25) + (0.25 * 0.25) + (0.25 * 0.25) = 2.25

To find the variance (o^2) of the distribution, we calculate it as follows:

o^2 = ∑(x - u)^2 * p(x) = (0.5 - 2.25)^2 * 0.0625 + (2.5 - 2.25)^2 * 0.125 + (0.25 - 2.25)^2 * 0.25 + (0.25 - 2.25)^2 * 0.25 + (0.25 - 2.25)^2 * 0.25 = 0.5625

So, o = √0.5625 = 3.188

b. The sampling distribution of the sample mean x for a random sample of n=2 measurements from this distribution is given by:

x = (x1 + x2) / n = (2.25 + 2.25) / 2 = 2.25

As n approaches infinity, the sample mean x approaches the population mean u, and the distribution of x becomes more and more concentrated around u.

c. Yes, x is an unbiased estimator of u because its expected value is equal to the population mean: E(x) = u.

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well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

Answer:

21.4

Step-by-step explanation:

Given that :

Mean number of days (m) = 30

Standard deviation (σ) = 2

Sample size (n) = 1000

First find the Zscore

Using the relation :

Zscore = (x - m) / σ

For x = 24

Zscore = (24 - 30) / 2

Zscore = - 6/ 2

Zscore = - 3

For x = 26

Zscore = (26 - 30) / 2

Zscore = - 4/ 2

Zscore = - 2

P(-3 < z < - 2)

P(z < - 3) = 0.0013499

P(Z < - 2) = 0.02275

0.02275 - 0.0013499 = 0.0214001

Hence,

n * 0.0214001

1000 * 0.0214001 = 21.4001

= 21.4

Answer:

1 is 69 degrees. 2 is 111 degrees

Step-by-step explanation:

1 is 69 because when a line intersects with 2 paralell lines, 1 and the 69 degree angle are the same degree. we know that the second angle plus 69 degrees is 180, so 180-69 is 111.

Question:

what are the options on the sides?

Answer:

1: 69 by the      ?

2: 111 by the      ?

Answer:

032.0 yd2 de nada corona por favor

Answer:

Step-by-step explanation:

Week 1 = 78

Week 2 = 100

Week 3 = 122

Week 4 = 154

Week 5 = 173

Week 6 = 194

Week 7 = 213

Week 8 = 131

Given:

A circle with a center at C.

Required:

We need to find the names of the given parts.

Explanation:

Recall that radius is a line segment extending from the center of a circle to the circumference.

Line segment AC extends from the center C of a circle to the circumference.

Recall that the arc of a circle is defined as the part of the circumference of a circle.

AE is the part of the circumference of a circle.

Recall that a straight line segment joins and is included between two points on a circle.

D and E are two points on a circle.

A straight line DE line segment joins and is included between two points D and E on a circle.

Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.

AB is tangent.

Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.

Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.

Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.

Final answer:

Answer: We can set up an equation to represent the given information:

4.563 = 4B + 127

where B is the number of residents in Town B.

To solve for B, we can first subtract 127 from both sides:

4.563 - 127 = 4B

Then divide both sides by 4:

B = (4.563 - 127) / 4

B = 1.140775

So Town B has approximately 1.140775 residents.

Step-by-step explanation:

The point in the solution set from the graph is (0, 0)

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

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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The distance from the origin to the point (-15, 36) is 39 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Note: The origin is denoted by the coordinates (0, 0).

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-15 - 0)² + (36 - 0)²]

Distance = √[15² + 36²]

Distance = √[225 + 1,296]

Distance = √1,521

Distance = 39 units.

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Recall that the general shape of a sine function is of the form

where A is the amplitude of the function, D is the midline, the number C/B is the phase shift and the number is 2*pi/B is the period of the function.

In our case, we are told that A=4 and D=3. Since we are told a value of the period, but nothing about the phase shift, we will assume that the phase shift is 0. Then, we have the following equations

and

Form the first equation, we can determine that C=0.

From the last equation, we can multiply both sides by 5*B, so we get

Finally, we divide both sides by 8, so we get

So, we end up with the following formula

Answer:

9 ft

Step-by-step explanation:

63 divided by 7 is 9.

Hope this helped!

Answer:

1/7

Step-by-step explanation:

=-3 - -1 / -2 - 12

=-2 / -14

=1/7

Answer:

1/7

Step-by-step explanation:

(x1,y1)=(12,−1)

(x2,y2)=(−2,−3)

Use the slope formula:

m=

y2−y1

x2−x1

=

−3−−1

−2−12

=

−2

−14

=

1

7

Answer:

She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.

Step-by-step explanation:

Answer:

4.99

Step-by-step explanation:

i cant remember how i got 4.99 but can show u how to check

= 55 + 4.99 = 59.99

59.99 divide 3 = 19.99666667

= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)

= 4.99 (was rounded)

Area between the three congruent tangent circles,

⇒ 6 inches²

We have to given that;

The radius of each circle is,

⇒ r = 6 inches

Hence, WE get;

⇒ AB = 12 inches

⇒ BC = 12 inches

⇒ CA = 12 inches

Now, Half of AB is,

⇒ 12 / 2 = 6 inches

Hence, WE get;

Perpendicular distance from C to AB that is D is,

⇒ CD = √12² - 6²

⇒ CD = √144 - 36

⇒ CD = 10.4

Hence, Area of ABC is,

⇒ A = 1/2 × 12 × 10.4

⇒ A = 62.4 inches²

Thus, We get;

Area of small triangles,

⇒ 60/360 × 3.14 × 6²

⇒ 1/6 × 3.14 × 6²

⇒ 18.84 inches²

Thus, Area between the three congruent tangent circles,

⇒ 62.4 inches² - 3 x 18.84 inches²

⇒ 62.4 inches² - 56.4 inches²

⇒ 6 inches²

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Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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