Choose what the expressions below best represent within the context of the word problem.

The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number?

x represents
the ones
digit
2x represents
the tens
digit

Answer:

x = 2

Step-by-step explanation:

2x2=4

4+2=6

6=6

There hope that is what you are looking for

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The commission paid to the salesperson would be $1110.

What is a commission?

A commission is a fee or percentage of the value of a sale that is paid to a salesperson as a form of compensation for their work in making the sale.

In this case, the commission paid to the salesperson at Kings Park Auto Giant is based on the profit of the sale and is determined by the piecewise function c(p), where p is the profit. To determine the commission for a specific sale, you would need to use the profit of that sale in the piecewise function and perform the calculations.

In the case provided, the car was purchased for $32,090 and sold for $33,200. The profit would be the difference between these two prices, which is $33,200 - $32,090 = $1,110. With this information, the commission that would be paid to the salesperson can be determined by plugging the profit, $1,110, into the commission function c(p) and performing the calculations.

Hence, the commission paid to the salesperson would be $1110.

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Answer:

11x+15

Step-by-step explanation:

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

By algebra properties, the sum of four mixed numbers is equal to the mixed number \(8\,\frac{37}{40}\).

In this problem we find a sum of four mixed numbers. The simplification process consists in transforming each mixed number into a fraction and apply algebra properties. Then,

\(9 \,\frac{1}{2}\) = 9 + 1 / 2 = 18 / 2 + 1 / 2 = 19 / 2

\(3\,\frac {7}{8}\) = 3 + 7 / 8 = 24 / 8 + 7 / 8 = 31 / 8

\(4\,\frac{4}{5}\) = 4 + 4 / 5 = 20 / 5 + 4 / 5 = 24 / 5

\(1 \,\frac{1}{2}\) = 1 + 1 / 2 = 2 / 2 + 1 / 2 = 3 / 2

(19 / 2 - 31 / 8) + (24 / 5 - 3 / 2)

(76 / 8 - 31 / 8) + (48 / 10 - 15 / 10)

45 / 8 + 33 / 10

450 / 80 + 264 / 80

714 / 80

357 / 40

320 / 40 + 37 / 40

8 + 37 / 40

\(8\,\frac{37}{40}\)

The sum of mixed numbers is equal to \(8\,\frac{37}{40}\).

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Answer:

The last one is correct.

Step-by-step explanation:

[] Rewrite 4/5 as 8/10

[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days

Have a nice day! - This is only correct if your models look like the ones I have attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: 4

Step-by-step explanation:

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

the answer is b I know how to kill

The true statement is \(m\angle PKQ=\frac{1}{2} m\angle PCQ\)

The correct answer is an option (B)

"It is an angle formed by two chords in a circle which have a common endpoint."

"It states that an angle inscribed in a circle is half of the central angle that is subtends the same arc on the circle."

For given question,

The diagram shows circle C.

An angle PCQ is the central angle.

∠PKQ and ∠PNQ are inscribed angle.

Using inscribed angle theorem,

\(m\angle PKQ=\frac{1}{2} m\angle PCQ\)

Also,

\(m\angle PNQ=\frac{1}{2} m\angle PCQ\)

Therefore, the true statement is \(m\angle PKQ=\frac{1}{2} m\angle PCQ\)

The correct answer is an option (B)

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The profit in 2012 must be 4.5(in hundreds of dollars) to break even.

Profit for a company is defined as the difference between the revenue and cost of a product.

Let us take an example to learn more about profit.

A company sells a product at a price of 'S' dollars and the company spends 'C' dollars to manufacture the product. Here C includes the cost of raw materials, labor cost, transport etc.. Now the net profit for the company for selling one unit of this particular product is given by

Profit=S-C

In the given chart it is shown the profit of the company is given as

2.5,1.75,-3.3 and -1.4 (in thousands of dollars) over 4 years.

Net profit over four years=\(2.5+1.75-3.3 -1.4=-0.45\)

So over the past four years the company incurred a loss of

\(=0.45\times 1000\\\)

\(=450\) dollars

Now the company needs to break even in 2012.

So net profit must be zero over 5 years.

Therefore Profit in 2012=0-(-450)=450 dollars

Profit=4.5 (hundreds of dollars)

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

i think -4/-5 = rise/run

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Answer:

Carlos did 49 more jumping jacks than John.

Step-by-step explanation:

Carlos = 138

John = 89

138 - 89 = 49

Answer:

43 degrees

Step-by-step explanation:

85 degrees + 25 = 110 and the angle sum for a right triangle will always equal 180 degrees. The outside angle is 62 degrees, so 62 +70= 132. 180-132 is 48. Now you want to solve the angle sum for the shorter wider triangle. We know one angle is 89 degrees, plus the 48 degrees= 137. Now to find ? do 180-137=43. The missing angle for ? is 43 degrees.

I hope this helps :)

Answer:

0.1000:00.500

Step-by-step explanation:

because in the numbers there is no ten thousand in 1000 that is why the decimal is there it is also applied to the 500

Answer:

0.06

Step-by-step explanation:

6% = 0.06

0.06  as a decimal Hope this helped!

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

308

Step-by-step explanation:

70/100 x 440 = 308

Answer:

81+27= candidates

candidates-37=81

The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).

acc to our question,

Hence,The preceding quadratic equation can be factored as follows: (X + 2 ) (X - 49) (X - 49).

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Answer:

(-4,3)

Step-by-step explanation:

the coordinate (4,-3) is just at the 4th quadrant in which the value of x is positive and the value of y is negative

the quadrant (4,3) is on the first quadrant and the value expressed with the letter A

the coordinate (-4,-3) is a coordinate on the quadrant in which both values are negative

Step-by-step explanation:

4y(3x+2)–2(3x+2)

(4y–2)(3x+2)

2(2y–1)(3x+2)

The Factor of given equation  \(4y(3x+2)-2(3x+2)\)   is    \((2y-1) (6x+4)\) .

Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.

We have,

 \(4y(3x+2)-2(3x+2)\)  

So, first simplify the expression,

      \(12xy+8y -6x-4\)

⇒    \(12xy-6x+8y-4\)

⇒     \(6x(2y-1)+4(2y-1)\)

From we can see that \((2y-1)\) is common in both terms,

Therefore,

⇒    \((2y-1) (6x+4)\)

So,    \((2y-1) (6x+4)\)  is the factor of the given expression.

Hence, we can say that the Factor of given equation \(4y(3x+2)-2(3x+2)\)   is    \((2y-1) (6x+4)\) .

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Answer:

-1/2

Step-by-step explanation:

2/3 becomes 4/6

4/6 to go to 1/6 is -3/6 or -1/2 (simplified)