sofia drove for 1/3 hour to get to the store.than she drove 1/5 hour to get to the library. what fraction of an hour did sofia drive in all?explain

Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5

Let's call the unknown number "x".

According to the problem statement, "2 more than 3 lots of a number" can be written as:

3x + 2

And "8 lots of the number" can be written as:

8x

The problem states that these two expressions are equivalent, so we can set them equal to each other

The equation will be

3x + 2 = 8x

Now we can solve for x:

3x + 2 = 8x

Move 8x to left hand side of the equation

-5x = -2

x = 2/5

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By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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The statement that would be true from what we have here would be that opposite angles of a parallelogram are congruent. Option C

A special kind of quadrilateral known as a parallelogram is one in which both sets of its opposite sides are parallel and equal.

PQRS is a parallelogram, therefore.

PQ ≅ RS

QR ≅ PS

Using the SSS criterion, PQR and PQS both equal RSP and RQS.

As a result, since the corresponding angles of congruent triangles are congruent, ∠QPS ≅ SRQ and ∠PQR ≅ ∠RSP.

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Answer:

86.1825503

Step-by-step explanation:

190lbs to kg is 86.1825503

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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Radians are multiplied by 180° radians to convert to degrees.

A unit of measurement for angles that is about 57.3°, or the angle covered in the center of a circle by an arc that has the same length as the radius.

Conversion factor between radians and degrees

One radian, or degree, equals 0.01745329252:

1° = π/180°

0.005555556π = 0.01745329252 rad

There are 57.295779513 radians in a degree.

1 rad = 180°/π \s= 57.295779513°

The angle in degrees is equal to the angle in radians times 180 degrees divided by the constant pi: degrees = radians 180° /

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The conditional of the given statement is;

Option B: Conditional: If an angle is a right angle, then it is not an obtuse angle. True.

Option C: Conditional: If an angle is obtuse, then it is not a right angle. True.

A conditional statement is represented in the form of “if…then”. Let p and q are the two statements, then statements p and q can be written as per different conditions, such as;

p implies q

p is sufficient for q

q is necessary for p

p ⇒ q

By definition, obtuse angles are angles that are greater than 90 degrees.

Right angles are defined as angles that are equal to 90 degrees.

Thus, If an angle is a right angle, then it is not an obtuse angle.

Similarly, If an angle is obtuse, then it is not a right angle.

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The two x-intercepts of the quadratic function are:

x = 8.69

x =  -0.69

Here we want to find the x-intercepts of the function:

f(x) = -x^2 + 8x + 6

Then we need to solve:

0 =  -x^2 + 8x + 6

Using the quadratic formula we will get the solutions:

[tex]x = \frac{-8 \pm \sqrt{8^2 - 4*(-1)*6} }{2*-1} \\\\x = \frac{-8 \pm 9.38 }{-2}[/tex]

Then the two solutions are:

x = (-8 - 9.38)/-2 = 8.69

x = (-8 + 9.38)/-2 = -0.69

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The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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We can convert milliliters to microliters by using the formula 1 milliliters = 10⁻³ microliters.

A milliliters (mL) is the unit of volume. One microliters (uL) is also a unit of volume but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ milliliters = one microliters.

Now, for example, if we have 2 microliters, then it will be equal to 2 x 10⁻³ milliliters .

So, now we have to standard formula and we can use it to find the value of the time in microliters to milliliters and milliliters to microliters.

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Answer:

1. Divide the compound figure into parts whose areas can be calculated. These parts must be simple shapes such are rectangles, triangle, circles, etc. for which there is a formula, and the dimensions (length, width, height, radius, etc.) must be shown or can be calculated.

2. Calculate the area of each part.

3. Add all areas together.

The area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Let's h be the height of the trapezoid.

The length of the bottom base is 2 times "h", or 2h.

The length of the top base is 1/5 times "h", or h/5, minus 30 feet, which we can write as (h/5) - 30.

Area of a trapezoid = (1/2) × (length of bottom base + length of top base) × height.

The expression for the area of the trapezoidal cross section of the dam is:

(1/2) × (2h + (h/5 - 30)) × h

If the height of the dam is 180 feet, we can plug that value into the expression we just wrote to find the area:

Area = (1/2) × (2(180) + ((180/5) - 30)) × 180

Area = (1/2) × (360 + (36 - 30)) × 180

Area = (1/2) × (360 + 6) × 180

Area = (1/2) × 366 × 180

Area = 33,030 square feet

Therefore, the area of the trapezoidal cross section of the dam when the height is 180 feet is 33,030 square feet.

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The variance is 0.745

The  standard deviation is 0.863

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

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The equation is given by 5n + 100n = 210

Peggy has 8 quarters and 2 nickels

Let's call q the number of quarters and n the number of nickels.

If Peggy has four times as many quarters as nickels, we can write the following equation:

q = 4n

Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so

0.25q + 0.05n = 2.10

Because she had $2.10. Now, we can replace the first equation on the second one

0.25(4n) + 0.05n = 2.10

1n + 0.05n = 2.10

Finally, we can multiply both sides by 100, so

100n + 0.05(100)n + 2.10(100)

100n + 5n = 210

Therefore, the equation that can be used to solve the problem is

5n + 100n = 210

Now, we can solve the equation for n

105n = 210

105n/105 = 210/105

n = 2

Then, q is equal to

q = 4n

q = 4(2)

q = 8

It means that Peggy has 8 quarters and 2 nickels.

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complete question is listed below:

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

Which of the following equations could be used to solve the problem?

On+4 n=210

5 n+100 n=210

n+4 n=2.10

5n+100 n=2.10.

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

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Step-by-step explanation:

180-(20+x+40)

=180-(60+x)

x=180-60

=120

Answer:

11:30

Step-by-step explanation:

The ratio is 22:60

We simplify by 2 and get

11:30

We can't simplify any more, so the answer is 11:30.

The coordinate of the vertex A' after a reflection over the y-axis is equal to A'(3, 4).

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of triangle ABC, the coordinates of A' in triangle A'B'C' include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-3, 4)   →  Coordinate A' = (-(-3), 4) = (3, 4).

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Answer:

individuals will test accurately?

b. what is the probability that none of the individuals test accurately?

c. what is the probability that at least two individuals test accurately?

hey hottie

❣️❣️❣️

Answer:

Given that 234 tickets remain after the first day, then a 1 = 234 a_1=234 a1​=234. So, Grabriela will have 186 bracelets \text{\color{#c34632}{186 bracelets}} 186 bracelets left to sell after the fifth day.

Therefore, 10/12 cups of fruit are required for the dish, which can be expressed as 5/6 cups.

An element of a whole is a portion. The number is represented mathematically as a fraction, where the numerator and denominator are split. Both are numbers in a straightforward fraction. A fraction appears in the sum or base of a complicated fraction. The numerator of a perfect proportion is smaller than the denominator.

Based on the given conditions, formulate: [tex]\frac{2}{4} +\frac{1}{3}[/tex]

Cross out the common factor: [tex]\frac{1}{2}+\frac{1}{3}[/tex]

Rewrite fractions using the Least Common Denominator: [tex]\frac{3+2}{6}[/tex]

Calculate the sum or difference: [tex]\frac{5}{6}[/tex]

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The speed of sound in seawater is around 4.46 times faster than speed of sound in air.

Unit conversion is the process of converting the measurement of a given quantity between different units, often by multiplicative conversion factors that modify the value of the measured quantity without altering

its effects.

Speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, specifically for dry air at a temperature of 0 °C (32 °F), are 331.29 metres (1,086.9 feet) per second.

Now in the given question ,

speed of sound in air is 1225 km/hr.

speed of sound in sea water = 1520 m/s.

To compare the speed of sound we have to make them in same unit form.

So , we will change speed of sound in air in m/s.

speed of sound in air = 1225 km/hr

                                     [tex]=\frac{1225*1000}{60*60} m/s\\\\=\frac{12250}{36} m/s\\\\=340.28m/s[/tex]

So , it can be clearly seen that speed of sound in air is less than speed of sound in  seawater.

Also , the speed of sound in seawater is around 4.46 times faster than speed of sound in air.

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The dividend divided by the price is the Dividend yield. The ratio of a company's annual dividend to its stock price.

Dividend Yield:

Dividend yield is expressed as a percentage and is a financial ratio (dividend/price) that indicates how much a company pays in annual dividends as a share price. The reciprocal of the dividend yield is total dividends/net income, which is the dividend payout ratio.

The dividend yield is an estimate of the dividend yield of a stock investment. Assuming dividends don't rise or fall, yields rise when stock prices fall. Conversely, when stock prices rise, they fall. Dividend yields vary with share price, so stocks that are rapidly declining in value may seem unusually high dividend yields.

The formula for dividend yield is as follows:

Dividend Yield = Annual Dividends Per Share/ Price Per Share

​The dividend yield can be calculated based on the financial statements for the past year. This is permitted during the first few months after the company's annual report is issued. However, the more time has passed since the release of the annual report, the less relevant this data is to investors. Alternatively, investors may add the last 4 quarter dividends to reflect dividend data for the last 12 months. It is acceptable to use the dividend numbers that follow, but yields may be too high or too low if the dividend has been recently cut or raised.

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​

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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By using the current exchange rate for converting "Japanese Yen" to "US Dollar" , 500000 Yen is = 3729.12 USD .

To convert the amount of 500000 YEN to USD, we use the current exchange rate between the currencies  "Japanese Yen" and the "US Dollar" .

The exchange rate varies constantly due to fluctuations in the global financial markets ,

The current exchange rate of 1 US Dollar = 134.08 Japanese Yen  ,

We have to convert the amount 500000 yen to USD by dividing 500000 by 134.08  ;

⇒ 500000/134.08 = 3729.1169 USD ;

≈ 3729.12 USD .

Therefore, 500000 Japanese yen is approximately equal to 3792.12 US Dollars .

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The length of arc CYT is solved to get

= 40.12

Length of arc CYT is calculated using the formula for length of arc

= theta / 360 * 2πR

From the problem, we have that

theta = 360 - 128 = 230

R = radius = CA = 10

π = 3.14sds

plugging in the values we have

= 230 / 360 * 2 * 3.14 * 10

= 23/36 * 20 * 3.14

= 40.1222

= 40.12 (to the nearest tenth)

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The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue.

The results of part (a) and part (c) indicate that advertising plays a significant role in the weekly gross revenue of Dixie Showtime Movie Theaters, Inc. The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue. They can allocate their advertising budget based on the amount of impact each form of advertising has on their weekly gross revenue. Additionally, the owners can use the results of the regression analysis to determine the amount of weekly gross revenue they will generate based on their chosen advertising budget.

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