help- Substitute the values for the area formula

Answer:

6x + 2 is your answer I THINK

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

Given that, A fruit seller bought 1600 oranges for Rs. 1200. He sold 40 bad oranges, so the total good oranges he sold are: 1600 - 40 = 1560 oranges. Let cost price (C.P) = Rs. x and selling price (S.P) = Rs. y. So, the answer is  Rs. 0.90.

Now, we know that the seller sold his goods with a 17% profit. Hence, we have, S.P = C.P + 17% of C.P

Hence, we can write: y = x + 17% of x, We have the equation: y = (6/5) x ----- Equation 1

Now, to calculate the cost of each orange, we will use the formula, Cost Price (C.P) / Quantity (Q).

We have 1200 / 1600 = Rs. 0.75. Therefore, the cost of 1 orange is Rs. 0.75.

Now, we have all the values that we need to solve the problem. Let's substitute the values in the equation 1:y = (6/5) × 0.75 = 0.90Hence, he sold each orange at the rate of Rs. 0.90. Therefore, the selling price (S.P) of 1560 oranges sold is: y = S.P × Qy = 0.90 × 1560 = Rs. 1404. Answer: Rs. 0.90.

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Answer:

she needs 65 medium apples

The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2

The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

One time fee = $30

Reduced price of ticket after one time fee payment = $17

Regular ticket cost = $25

Write an inequality that can be used to determine the number of reduced price concert tickets you would need to purchase in order for the total cost to be less expensive than the same number of regular tickets

Let the number of tickets needed to purchase = t

Reduced ticket = 30 + 17t

Regular ticket = 25t

30 + 17t < 25t

30 < 25t - 17t

30 < 8t

30/8 < 8t/8

3.75 < t

t > 3.75

Hence number of ticket must be greater than 3.75

t = 4

Answer:

I think that the answer is a

Answer:

I might not be right but try following the steps in the screen shot

Also the answer is in the screenshot

Step-by-step explanation:

I tried my best. :>

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
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In this dissertation about the insect Desmolithica Geogebra, the searching period S(t) of the insect depends on the air temperature denoted by t and is directly proportional to t-20.

The percentage of the larvae that survive this period N(t) is inversely proportional to t-20 and depends on t.

These statements can be mathematically represented as:

S(t) ∝ (t - 20)

and

N(t) ∝ 1/(t - 20)

For S(t) and N(t) to be directly and inversely proportional to (t - 20), respectively, we need to assume that the relationship is linear.

That is, S(t) and N(t) can be represented by linear equations of the form:

S(t) = m(t - 20)

and

N(t) = k/(t - 20)

where m and k are constants that depend on the particular observation regarding the behavior of the insect.

These constants can be determined by using the data from the observations.

The dissertation can further explain the significance of these relationships in understanding the behavior of the insect, as well as in developing strategies to control or prevent the damage caused by the insect.

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The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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One year of education adds $1200 to a person's yearly income.

In the given model, the equation y = 1200x + 7000 represents the relationship between the years of education (x) and the yearly income (y) in a person's first job after completing schooling. According to the model, for every additional year of education, the yearly income increases by $1200. This implies that each year of education contributes an extra $1200 to a person's annual income. For example, if a person has completed 5 years of education, their yearly income can be estimated as y = 1200(5) + 7000 = $13,000.

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Answer:

I believe it is C.

Step-by-step explanation:

Answer: he needs to mesure

Step-by-step explanation:

Answer: 7 and 8

Step-by-step explanation:

Square root and squared cancel out

Answer:

a=7

b=32

Step-by-step explanation:

The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So (\(7^{1/2}\))^2 is 7.

For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.

Edit: Check on your calculator, you get the same answers I got! :)

Hello !

Answer:

\(\Large\boxed{ \sf x = 2}\)

Step-by-step explanation:

Let's solve the following equation by isolating x.

\( \sf3x - 3 = x + 1\)

First, add 3 to both sides :

\( \sf3x - 3 + 3 = x + 1 + 3\)

\( \sf3x = x + 4\)

Now let's substract x from both sides :

\( \sf3x - x = 4\)

\( \sf2x = 4\)

Finally, let's divide both sides by 2 :

\( \sf \frac{2x}{2} = \frac{4}{2} \)

\( \boxed{ \sf x = 2}\)

Have a nice day ;)

Answer:

40

Step-by-step explanation:

5 x 4 x 2 = 40

length x width x height = volume

Answer:

4725

Step-by-step explanation:

105 students

think of 100 students

100 × 45 = 4500

now the remaining 5 students

cost for 10 students will be

45 × 10 = 450

divide 450 by 2 to find out for 5 students

it is 225

4500 + 225 = 4725

The percentage of students with grade point averages that are no more than 1.15 is 99.7%.

We know,

other name of empirical rule is the 68-95-99.7 rule which states that in a bell-shaped distribution,

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case,

we want to find the percentage of students with grade point averages that are no more than 1.15.

To determine this,

we need to calculate how many standard deviations away from the mean 1.15.

The formula to calculate the number of standard deviations away from the mean is:

z = (x - μ) / σ

Where:

z = number of standard deviations

x = value (1.15 in this case)

μ = mean (2.5)

σ = standard deviation (0.45)

Let's calculate z:

z = (1.15 - 2.5) / 0.45

z ≈ -2.94

Since 1.15 is 2.94 standard deviations below the mean, we can use the empirical rule to determine the percentage of students with grade point averages that are no more than 1.15.

According to the empirical rule, approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the percentage of students with grade point averages that are no more than 1.15 is approximately 99.7%.

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Answer: Yes.

Step-by-step explanation:

Two intersecting lines determine a plane. If you hold two pencils so that they cross each other, there’s only one place a flat plane can be placed so that it rests on both pencils. Which lines are always co planar? Two lines in three-dimensional space are coplanar if there is a plane that includes them both.

Answer:

In theory, yes.

Step-by-step explanation:

"If two lines intersect, then exactly one plane contains the lines." Now, each line contains two points, and according to another theorem in my book: "If two lines intersect, then they intersect in exactly one point." and three noncollinear points define a plane.

Answer:

sas

Step-by-step explanation:

Answer:

one attachment ex picture

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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A minimum of 3 weighings are required to identify the heavy marble out of 8 marbles.

As all the marbles weigh the same except one which is heavier, therefore firstly 8 marbles are divided into half. 4 marbles are placed in one pan while the other 4 are placed in another pan. In this two-pan balance, the pan which is lower than the other contains a heavier marble.

Now, the pan with heavier marble has 4 marbles which are again divided into half. 2 marbles are placed in each pan. Similarly, the pan with heavier marble goes down as compared to another pan with 2 marbles of the same weight. Now the final weighing is done by placing 1 marble in each pan out of 2 marbles taken from the pan which went down before as compared to another pan.

The pan with heavier marble will move down and thus with 3 weighings, a heavier marble is identified.

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Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

The standard error of the mean for the population size 500, with a sample size of 36 and a population standard deviation of 100, is approximately 16.67.

To find the standard error of the mean (SE) for a population when a random sample is selected, you can use the formula:

SE = σ / √n

where σ is the population standard deviation, and n is the sample size.

In this case, you are given that the sample size (n) is 36 and the population standard deviation (σ) is 100. You want to find the standard error of the mean for a population size of 500.

SE = 100 / √36

SE = 100 / 6

SE = 16.67

Therefore, the standard error of the mean for the population size 500, with a sample size of 36 and a population standard deviation of 100, is approximately 16.67.

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Given all the weights and the total capacity of the elevator, we have the following expression:

where 'x' denotes the weight of the third case.

Solving for x, we get the following:

therefore, the third case must weigh 60.3 kg or less.

The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

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Answer:

$2,000

Step-by-step explanation:

The initial investment price is given by the y-value where the graph intersects the y-axis

This is at y = 2

Since the scale is in thousands of $, that would mean $2,000 as the original price

Answer:

Step-by-step explanation:

exponent on 1 is 9

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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