Mr.Lee can paint 20 chairs in t hours. He uses 3 liters of paint for every 12 chairs that he painted.

Measure of ∠CEA = 91°

The arc of a circle is defined as the part or segment of the circumference of a circle.  A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle.

Given,

In figure

chord AB and chord CD intersect at E

m(arc CA) = 140°

m(arc DB) = 42°

∠CEA intercepts arc CA and has it vertex inside the circle

Thus,

∠CEA = (m(arc CA) + m(arc DB))/2

∠CEA = (140° + 42°)/2

∠CEA = 182°/2

∠CEA = 91°

∠CEA measures 91°

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A rectangle that is scaled to be 4 times the size of the given rectangle would have the dimensions of 27.6 x 20.8.

When a rectangle is said to be scaled to be a certain number of times more than the size of another rectangle, it means that both rectangles will have the same shape and orientation, but their dimensions will be different.

This difference will come from the change that the scale factor brought about. In this instance, the scale factor is 4 times which means that the second rectangle will be 4 times the size of the first.

The first dimension would be :

= 6 . 9 x 4

= 27.6 units

The second dimension would be:

= 5 . 2 x 4

= 20. 8 units

The dimensions would then be:

27. 6  x 20. 8

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By solving a linear equation we will see that the polygon has 19 sides.

Remember that for a polygon of n sides, the sum of the interior angles is equal to:

(n - 2)*180°

Here we also know that 3 angles are:

136°, 138°, and 146°

And the rest of the angles (n - 3) angles are of 165° each.

Then the sum of the interior angles gives:

136° + 138° + 146° + (n - 3)*165°

And that must be equal to the expression above, so we can write the linear equation:

136° + 138° + 146° + (n - 3)*165°  = (n - 2)*180°

420° + n*165° - 495° = n*180° - 360°

n*165° - 75° = n*180° - 360°

360° - 75° = n*180 - n*165

285° = n*15°

285°/15° = n

19 = n

That is the solution.

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Answer: The ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

Step-by-step explanation:

To find the ratio of the time spent on the job estimate to the total time spent on the job, we need to divide the time spent on the estimate by the total time spent on the job, and then express the result as a fraction.

First, we need to convert both times to minutes.

15 minutes for the job estimate

2 hours = 2*60 = 120 minutes

30 minutes

Total time spent on the job = 120 + 30 = 150 minutes

Now we can divide the time spent on the estimate by the total time spent on the job:

15 minutes / 150 minutes = 1/10

So the ratio of the time spent on the job estimate to the total time spent on this job is 1/10. Alternatively, it can also be represented as 1:10

Answer:

A=4.2 P=9.2

Step-by-step explanation:

Did this also and used mathaway

Answer: 9n-7

Step-by-step explanation:

9n-7 because there are no like terms

Answer:

Step-by-step explanation:

Firstly, lets just add the fractions we got.

2/5 + 1/3 = 6/15 + 5/15 = 11/15

So, 11/15 of the total students bought stuff other than drinks.

Number of people who bought drinks will be the people left

So, 1 - 11/15, or 4/15

a) 4/15

b) Fraction of people who bought beef burger is 2/5.

2/5 x 3/4 = 3/10

So the fraction is 3/10.

Answer: X=21

Step-by-step explanation:

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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The arithmetic mean of the set of data 6, 1, 5, 8 and 10 is calculated to be 6

The simplest and most popular way to measure a mean or average is with the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Adding up the numbers

= 6 + 1 + 5 + 8 + 10

= 30

The total number of items in the data is = 5

The arithmetic mean calculation

arithmetic mean = sum of numbers / number of items

arithmetic mean = 30 / 5

arithmetic mean = 6

The arithmetic mean is 6

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Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]2 \frac{5}{8} = \frac{21}{8}[/tex]

Divide [tex]\frac{21}{8}[/tex] by [tex]\frac{3}{4}[/tex]

[tex]\frac{21}{8}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{7}{2}[/tex]

The multiplier would be used to increase a number by 15% is, 1.15

The multiplicative rate of change is a number by which we get another number from the previous number, to get the value of this number , we have to divide the other number from the previous number.

Suppose

first number = X

second number = Y

second number is 15% more than first number

So, Y = X + 15% of X

Y = X + 0.15X

Y = 1.15 X

for multiplicative rate of change we have to apply divide operation,

⇒  P = Y/X

⇒  P = 1.15X/X

⇒  P = 1.15

Hence, the result is 1.15

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Answer:

Step-by-step explanation:

Let x be the amount invested in the 6% account.

Since he invested twice as much in the lower-yielding account, the amount invested in the 10% account is 2x.

We know that the annual interest is $3080 dollars, and the interest is calculated on the invested amount at each rate.

The interest in the 6% account is (6/100) * x = 3/50 * x

The interest in the 10% account is (10/100) * 2x = 1/10 * 2x

The total annual interest is 3/50x + 1/102x = 3/50x + 1/5x = (3+1)/5x = 4/5x

Therefore, we can write the equation:

4/5*x = 3080

To find x, we can divide both sides by 4/5:

x = 3080*5/4

x = $2310

So, the man invested $2310 in the 6% account and $2310*2 = $4620 in the 10% account.

Answer:

1. 3 -1

2. 6-3

3. 20-8 adding the smallest and the highest#

The statement 4, 6 and 7 is enough to prove that 45° + m∠AOW = 90°.

A harmonious relationship, agreement, or correspondence are all concepts that are denoted by the mathematical term "congruence," which is used in a variety of contexts.

The two geometric figures are said to be congruent, or to be in the relation of congruence, if they can be superimposed on one another so that their entire surfaces match. If two triangles have the same two sides and included angle, they are said to be congruent.

The idea of a "rigid body," which can be moved from one place to another without changing the internal relationships between its parts, appears to be the foundation for congruence.

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The value of x is 54/35 when y=12 and z=21. The solution is obtained using the concept of relations and functions.

What is relation and function?

A relation belongs to the Cartesian product's subgroup or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.

A function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.

We are given that x varies directly as y and inversely as z.

This means that x ∝ y and x ∝ 1/z

So, x ∝ y/z

=> x = k*y/z  ( k is a constant)

Now, it is given that x = 3 when y = 10 and z = 9

So,

=> 3 = k*10/9

=> k = 27/10

=> x = 27y/10z

When y=12 and z=21,

=> x = 27*12/10*21

=> x = 54/35

Hence, the value of x is 54/35 when y=12 and z=21.

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So on solving the provided question we can say that here in both triangles are similar, y = 10; x = 12

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here in both triangles are similar,

y = 10

x = 12

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.10)(1) \implies I = 20~\hfill \underset{total~amount~in~savings}{\stackrel{200~~ + ~~20}{\text{\LARGE 220}}}[/tex]

Answer:

$ 220

Step-by-step explanation:

i = prt = 200 * .1 * 1  = 20  dollars interest

  add in her original deposit of 200 for a total of 220 dollars

Table F shows a proportional relationship and its points are plotted in the graph shown in the image attached below.

In Mathematics, the graph of any proportional relationship is represented by a straight line with the data points passing through the origin (0, 0) because as the values on the x-axis increases or decreases, the values on the y-axis increases or decreases simultaneously.

Mathematically, a proportional relationship can be represented or modeled by the following linear equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 2/1 = 4/2 = 8/4 = 10/2

Constant of proportionality, k = 2.

Therefore, the linear equation for this proportional relationship can be correctly written as follows:

y = kx

y = 7.5x

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Answer: the estimated maintenance cost of cars when the age of cars is 12 years is 16.5 ( in 100 birr)

Step-by-step explanation:

To obtain the regression equation for costs related to age of cars, we can use the method of least squares. This method involves finding the line of best fit that minimizes the sum of the squared differences between the predicted values and the actual values.

The equation for a linear regression line is:

y = a + bx

where a is the y-intercept and b is the slope of the line.

To find the slope of the line (b), we can use the formula:

b = (n(∑xy) - (∑x)(∑y)) / (n(∑x^2) - (∑x)^2)

To find the y-intercept (a), we can use the formula:

a = (∑y - b(∑x)) / n

Given the data provided, we can calculate the following values:

∑x = 142

∑y = 150

∑xy = 2430

∑x^2 = 10304

n = 8

By substituting these values into the formulas for b and a, we can find the slope and y-intercept of the line:

b = (8(2430) - 142(150)) / (8(10304) - 142^2) = 0.5

a = (150 - 0.5(142)) / 8 = 13.5

Therefore, the regression equation for the costs related to age of cars is:

y = 13.5 + 0.5x

To estimate the maintenance cost of cars when the age of cars is 12 years, we can substitute x = 12 into the equation and solve for y:

y = 13.5 + 0.5(12) = 16.5

So the estimated maintenance cost of cars when the age of cars is 12 years is 16.5 ( in 100 birr)

The amount that Cameron plans to give his parents every month as a way to pay them back for the bicycle is called an Installment.

A loan installment is a fixed payment that a borrower makes to a lender over a period of time, usually on a regular basis, until the loan is fully paid off. The payment typically includes both the principal amount borrowed and the interest charged on the loan.

Loan installments are related to annuities in that they are both financial products that involve a series of regular payments. An annuity is a financial contract in which an individual gives an insurance company a lump sum of money or a series of payments in exchange for a stream of payments over a period of time.

This means therefore, that the amount that Cameron plans to pay his parents every month for the money borrowed to buy a bicycle, is called a loan installment.

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The full question is:

Cameron owes his parents money that he narrowed to buy a bicycle. He plans on paying them back by giving them amount of money each month. What is this amount called?

Answer:

x= -3

Step-by-step explanation: