What is the area of the figure below

7.83 can be written as a fraction in simplified form as \(7 \frac{80}{100}\).

A fraction, which is expressed in the form p/q, where p and q are both integers, denotes a portion of a whole. Here, we'll explain the steps involved in converting 7.83 decimal numbers to fraction form and mixed numbers. In order to convert 7.83 to a fraction, do the following:

Write the decimal number split by one first as follows:

7.83/1

Since the numerator has two digits after the decimal point, we must multiply the numerator and denominator by 102 = 100, removing the decimal point.

7.83 × 100/1 × 100 = 783/100

We can also express 7.83 as a mixed number because the improper fraction is caused by the numerator being bigger than the denominator; as a result, 783/100 is equal to:

\(7 \frac{80}{100}\)

Therefore, 7.83 is 783/100 as a fraction, and its mixed number form is \(7 \frac{80}{100}\).

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Step-by-step explanation:

The expression 5x + 6y - 3x is equivalent to:

2x + 6y

This is because 5x and -3x can be combined by adding them together, which gives 2x.

The expression 5x + 6y - 3x is also equivalent to:

x + 6y - 3x

This is because 5x and -3x can be combined by adding them together, which gives x.

However, the expression 5x + 6y - 3x is not equivalent to:

2x - 3y

This is because the coefficient of the y term is 6, not -3.

The expression 5x + 6y - 3x is also not equivalent to:

x + y

This is because the coefficient of the y term is 6, not 1.

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply by the inverse of the coefficient of r², then take the square root.

  \(V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}\)

For V=50, h=15, this is ...

  \({r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}\)

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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Answer:

45

Step-by-step explanation:

Square root 2025 and you will get 45

45 times 45= 2025

Answer:

Step-by-step explanation:

If you are multiplying then 45 * 45 = 2025

If you are adding then 1012.5 + 1012.5 = 2025

Answer:

A. Compare the sum 12.50 + 15.67 + 9.32 = 37.49 to the sum 14.333 + 12.100 + 10.780 = 37.213; he spent more time practicing the backstroke than the butterfly.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i took the qiuz

Answer:

1/3 left

Step-by-step explanation:

The total sandwich is 1 or in fraction form 6/6

He ate 2/6

6/6 -2/6 = 4/6

Then he ate 2/6 more

4/6 -2/6 = 2/6

He has 2/6 left

Simplifying

2/6 =1/3

Answer: -1/3

Step-by-step explanation:

The slope of the given line is \(\frac{7-1}{5-3}=\frac{6}{2}=3\).

Thus, since perpendicular lines have slopes that are negative reciprocals of each other, the answer is -1/3

Answer: -2 1/8

Step-by-step explanation:

3 1/2 = 3 4/8

5 5/8 - 3 4/8 = 2 1/8

Add the negative sign back to get -2 1/8

Answer:

13/9l  or 1  4/9 l

Step-by-step explanation:

Answer:

quantity of alcohol = l liters

we need to make a solution of having 45% alcohol by adding water.

45% alcohol means whatever id the total quantity of solution there is 45% alcohol.

Let the total quantity of solution be x.(

then

quantity of alcohol in terms of x = 45% of x = 45/100 x

but we know that quantity of alcohol = l liters

45/100 x = l

x = 100/45 l

Thus, total quantity of solution is 100/45 l,

but in it, there are l liters of alcohol.

to find the quantity of water we need to subtract the quantity of alcohol from the total quantity of solution

quantity of water in the solution = 100l/45  - l = (100l - 45l)/45 = 65l/45

quantity of water in the solution = 13/9l = 1 4/9 l -------->answer.

Thus, 1 4/9 liters of water needs to be added to l liters of alcohol to make a solution of 45% alcohol.

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Answer:

alternate interior angles are congruent

Answer:

(2,-3)

Step-by-step explanation:

To solve the system of equations:3x - 4y = 18

x + 3y = -7We can use the method of substitution.First, we can solve the second equation for x:x = -3y - 7Then, we can substitute this expression for x in the first equation:3(-3y - 7) - 4y = 18Simplifying and solving for y:-9y - 21 - 4y = 18

-13y = 39

y = -3Now that we have found the value of y, we can substitute it back into either of the original equations to solve for x. Let's use the second equation:x + 3(-3) = -7

x = 2Therefore, the solution to the system of equations is (x,y) = (2,-3).

3x - 4y = 18

x +3y = -7

3(-7-3y)-4y=18

-21-9y-4y=18

-21-13y=18

13y=-21-18

13y=-39

y=-3

x +3(-3) = -7

x-9=-7

x=-7+9

x=2

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Blue has the highest probability of being drawn, I would choose a Blue marble if I had to bet on drawing a marble of a certain color.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is used to measure the degree of uncertainty or randomness associated with a particular event or outcome. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that it is certain.

In probability theory, an event is any outcome or set of outcomes of a random process. Probability can be calculated using different methods, depending on the type of event and the available information. Some of the basic concepts of probability include independent and dependent events, the addition rule, the multiplication rule, and the complement rule.

The probability of drawing a Green marble is 4/13.

The probability of not drawing a Green marble is 9/13.

The odds in favor of drawing a Green marble are 4:9.

The probability of drawing a Blue or Yellow marble is (5+3)/13 = 8/13.

The probability of drawing a Purple marble is 0/13 = 0.

Since Blue has the highest probability of being drawn, I would choose a Blue marble if I had to bet on drawing a marble of a certain color.

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Answer:

3.16

Step-by-step explanation:

4.42 - 1.26 = 3.16

Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

Answer:

50

Step-by-step explanation:

30 divided by 10 + x in the from of 60, 10-10=0 60-10=50

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Answer: 10.7

Step-by-step explanation:

Just use a calc

Answer:

2,3,5,7,11

Step-by-step explanation:

2, 3, 5, 7, 11, 13; basically any number that has only two factors, one and itself.

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that \(\mu = 1050, \sigma = 100\)

The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So

X = 1100

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1100 - 1050}{100}\)

\(Z = 0.5\)

\(Z = 0.5\) has a pvalue of 0.6915.

X = 900

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{900 - 1050}{100}\)

\(Z = -1.5\)

\(Z = -1.5\) has a pvalue of 0.0668

0.6915 - 0.0668 = 0.6247.

M1 has a 62.47% probability of being in the desired range.

M2:

M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that \(\mu = 1000, \sigma = 120\)

X = 1100

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1100 - 1000}{120}\)

\(Z = 0.83\)

\(Z = 0.83\) has a pvalue of 0.7967.

X = 900

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{900 - 1000}{120}\)

\(Z = -0.83\)

\(Z = -0.83\) has a pvalue of 0.2033

0.7967 - 0.2033 = 0.5934

M2 has a 59.34% probability of being in the desired range.

Since M1 has the higher probability of being in the desired range, we choose M1.