Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
of cash for each scarf. Before she left, Lucy spent $10.50 of her earnings on a used sweater,
She had $7.50 remaining. What was the value of each scarf?

if the sum of money if 200,000 for 30 days at 12.75% interest rate the exact interest earned by the company is N6,375.

To compute the exact interest earned by the company, we can use the formula:

Exact interest = (Principal x Rate x Time) / 100

where Principal is the amount deposited, Rate is the interest rate per annum, and Time is the time period for which the interest is calculated.

In this case, the Principal is N200,000, the Rate is 12.75%, and the Time is 90 days or 0.25 years (since there are 365 days in a year).

So, substituting these values in the formula, we get:

Exact interest = (200000 x 12.75 x 0.25) / 100

= 6375

Therefore, the exact interest earned by the company is N6,375.

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Answer:

The answer is A.

How I got it:

Formula of finding a triangle: 1/2 bh.

In this case, the base is R and the Height is X.

1/2rx.

Answer:

The ladder makes an angle of 60 degree from the ground.

Step-by-step explanation:

Length of the ladder, L = 28 feet

distance of ladder, d = 14 feet

Let the angle formed with the ground is A.

According to the trigonometry

\(\cos A =\frac{d}{L}\)

\(\cos A =\frac{14}{28}\)

cos A = 0.5

A = 60 degree

Answer:

Menu bar

Step-by-step explanation:

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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The correct answer is c. 7.81.

To find the variance for the distribution of ungrouped data, we need to use the formula:

Variance = (Σ(x^2)f - (Σxf)^2 / n) / n

Where x is the data value, f is the frequency of the data value, and n is the total number of data values.

For the first question:

1. The variance for the following distribution of ungrouped data to its right is:

Dato (x) Frecuencia (f) xf x^2f
3.2 3 9.6 30.72
1.3 4 5.2 6.76
2.4 2 4.8 11.52
Total 9 19.6 49

Variance = (49 - (19.6)^2 / 9) / 9
Variance = (49 - 42.46) / 9
Variance = 0.73

Therefore, the correct answer is a. 0.79.

For the second question:

2. The variance for the following distribution of ungrouped data to its right is:

Edad (x) Frecuencia (f) xf x^2f
6 7 42 252
7 12 84 588
8 10 80 640
9 8 72 648
10 5 50 500
Total 42 328 2628

Variance = (2628 - (328)^2 / 42) / 42
Variance = (2628 - 2570.29) / 42
Variance = 1.38

Therefore, the correct answer is c. 7.81.

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Answer:

first answer is 3×12=36

5×15=75

Answer:

Download the App "Photo Math"

Step-by-step explanation:

it will help you to solve all of your math problems.

Answer:

m arcRP = 125°

m arcQS = 125°

m arcSP = 55°

m arcQR = 55°

Step-by-step explanation:

An arc is the curve between two points on the circumference of a circle.

An arc measure equals its corresponding central angle measure.

Vertical Angles Theorem:  When two straight lines intersect, the opposite vertical angles are congruent.

Angles on a Straight Line Theorem:  The sum of angles formed on a straight line is equal to 180°.

As m∠ROP = 125°

Therefore, m arcRP = 125°

Given the measure of angle ROP is 125°, and an arc measure equals its corresponding central angle measure, the measure of arc RP is 125°.

Using the Vertical Angles Theorem:

⇒ m∠QOS = 125°

Therefore, m arcQS = 125°

Using the Vertical Angles Theorem, the measure of angle QOS is equal to the measure of angle ROP, so the measure of angle QOS is 125°. As an arc measure equals its corresponding central angle measure, the measure of arc QS is 125°.

Using the Angles on a Straight Line Theorem:

⇒ m∠SOP = 180° - 125° = 55°

Therefore, m arcSP = 55°

Using the Angles on a Straight Line Theorem, the measure of angle SOP is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc SP is 55°.

Using the Angles on a Straight Line Theorem:

⇒ m∠QOR = 180° - 125° = 55°

Therefore, m arcQR = 55°

Using the Angles on a Straight Line Theorem, the measure of angle QOR is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc QR is 55°.

False.

The Cp and Cpk statistics are both used to assess the capability of a process to meet specifications, but they have different purposes.

The Cp statistic is a measure of how well the process spread (variation) fits within the specification limits. It assumes that the process mean is centered on the target value. It is calculated as the ratio of the specification width to the process spread (six times the process standard deviation).

The Cpk statistic, on the other hand, takes into account both the process spread and the deviation of the process mean from the target value. It is calculated as the minimum of two values: the difference between the process mean and the closest specification limit divided by three times the process standard deviation (assuming the process is centered within the specification limits), or the Cp value adjusted for the deviation of the process mean from the target value.

Both statistics have their uses and limitations depending on the situation. If the process mean is not centered on the target value, the Cpk statistic may be more useful than the Cp statistic since it takes into account both the spread and centering of the process.

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Answer:

chen como es de tus feb jus montaña

Answer:

Step-by-step explanation:

Given that:

Keiko sold 3 less than three-fourths of his sister's sale.

To find:

Expression that represents what Keiko sold ?

\(1.\ \dfrac{3}{4} x - 3 \\2.\ \dfrac{3}{4} x + 3 \\ 3.\ 3 x + \dfrac{3}{4} \\4.\ 3x - \dfrac{3}{4}\)

Solution:

First of all, let the sales done by Keiko's sister = \(x\)

Now, let us consider the Keiko's sale word by word.

3 less than three-fourths of his sister's sale.

i.e. subtract 3 from the expression obtained in 1st line.

\(\dfrac{3}{4}x-3\)

So, sales done by Keiko = \(\dfrac{3}{4}x-3\)

So, correct answer is:

\(1.\ \dfrac{3}{4}x-3\)

\(\frac{3}{4}x-3\)

An algebraic expression is one that is obtained by performing a finite number of algebraic operations on symbols that represent numbers.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Let \(x\) denotes sale of sister of Keiko.

As Keiko sold \(3\) less than three-fourths of his sister's sales,

Sales of Keiko \(=\frac{3}{4}x-3\)

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Answer:

140 socks or 70 pair of socks

Step-by-step explanation:

35 x 4 = 140

Answer:

140

Step-by-step explanation:

35 times 4 is 140

Answer:

first 15 no. only 1,2,3,4,5,6,7,8,9,10,11,12,13,14.

In linear equation, the noble is $ 120 and the douglas is $200 are  the cost per tree for each type.

What in mathematics is a linear equation?

n= noble fir trees

d= douglas fir trees

5n + 3d = $420

12n + 9d = $1,080

multiply the second equation by 3

36n + 18d = 3,240

now divide the equation by 18

2n + d = 180

-2n        -2n

d = 180 - 2n

Now put that equation in the first as d

5n + 3(180 -2n) = 420

5n + 540- 6n = 420

     - 540         -540

1n = 120

n = 120

Now put n into the second equation( none changed one) to find d

12(120) + 9d = 3240

1440 + 9d = 3240

-1440        -1440

9d = 1800

÷9    ÷9

d= 200

so the noble is $ 120

and the douglas is $200

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The complete question is -

A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 douglas fir trees for a total of $420. On Saturday, 12 noble fir trees and 9 douglas fir trees were sold for a total of $1,080. What is the cost per tree for each type?

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

Small jet seat capacity: 73

Large jet seat capacity = 90

Step-by-step explanation:

Let x be the number of seats on the small jet

Let y be the number of seats on the large jet

From the word description for last week:

Last week, she worked on flights on 1 small jet and 2 large jets, which could seat a total of 253 passengers

we can formulate the equation
1x + 2y = 253  .............(1)

For the week before:
The week before, she was assigned to flights on 5 small jets and 4 large jets, which could seat a total of 725 passengers

5x + 4y = 725 ...............(2)

Equation (1)  x 2 ==>
2x + 4y = 2(253)

2x + 4y = 506  ..............(3)

So our two equations are:

5x + 4y = 725 . .............(2)
2x + 4y = 506  ..............(3)

Equation (2) - Equation (3) will eliminate the y terms making it possible to solve for x
(5x + 4y) - (2x + 4y) = 725 - 506

5x + 4y - 2x - 4y = 219

5x -2x +4y - 4y = 219

3x = 219

x = 219/3

x = 73

Plugging this value back into equation (1): 1x + 2y = 253 we get
1(73) + 2y = 253

73 + 2y = 253

2y = 253 - 73

2y = 180

y = 180/2

y = 90

Answer
Small jet seat capacity: 73

Large jet seat capacity = 90

490

472 <490<500

it fits the criteria

Answer: D) 4034.4

Step-by-step explanation:

47 * 3 = 141

158 * 3 = 474

Perimeter=

141+141+474+474

= 1230 total fencing

Price=

1230 * 3.74=

D) 4034.4

Answer:

--------------

Use the sum of the first n terms formula:

We are given:

First, let's find n using the nth term formula:

Now, we can find the sum using the formula:

The sum of the geometric series is 186.

The sum of all the values of k that are divisible by sqrt(k) is also 665667000.

To find the sum of all integers from 1 to 999999 that are divisible by sqrt(k), we need to identify the values of k that satisfy the given condition and then calculate their sum.

First, let's determine the values of k that are divisible by sqrt(k). Since k must be divisible by sqrt(k), it means that sqrt(k) must be an integer. Therefore, we need to find perfect squares within the range of 1 to 999999.

The largest perfect square less than or equal to 999999 is 999^2 = 998001. So, we can start by finding all the perfect squares from 1^2 to 999^2.

Next, we can calculate the sum of all the perfect squares. The sum of the squares from 1^2 to n^2 can be expressed as the formula:

Sum = (n * (n + 1) * (2n + 1)) / 6

In our case, n = 999. Substituting the values into the formula, we get:

Sum = (999 * (999 + 1) * (2 * 999 + 1)) / 6

Sum = (999 * 1000 * 1999) / 6

Sum = 333 * 1000 * 1999

Sum = 665667000

So, the sum of all the perfect squares from 1 to 999999 is 665667000.

Now, let's find the sum of all the values of k that are divisible by sqrt(k). Since we are considering perfect squares, we can simply add up all the perfect squares within the given range.

To calculate the sum of perfect squares, we can use the formula:

Sum = (n * (n + 1) * (2n + 1)) / 6

Again, let n be the largest perfect square less than or equal to 999999, which is 999. Substituting the values into the formula, we get:

Sum = (999 * (999 + 1) * (2 * 999 + 1)) / 6

Sum = (999 * 1000 * 1999) / 6

Sum = 333 * 1000 * 1999

Sum = 665667000

Therefore, the sum of all the values of k that are divisible by sqrt(k) is also 665667000.

In conclusion, the sum of all integers from 1 to 999999 that are divisible by sqrt(k) is 665667000. This sum is equal to the sum of all the perfect squares within the given range, which can be calculated using the formula for the sum of squares.

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Answer:

B

Step-by-step explanation:

under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

O (5, - 4 ) → O' (- 5, 4 )

Answer: 16

Step-by-step explanation: 16%x1=.16 meters, then multiply by 100 to get 16 centimeters.

The solution to the quotient is 3582/43 or 83.30

Division is by splitting two number into two or more parts.  Quotient is gotten after dividing one number by the other

Rewrite the fraction and long format

\(\frac{3882}{43}\)

= 83.30

Therefore, the estimate for the quotient is 83.30

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer: 3/2

Step-by-step explanation:

Answer:

40%      

I looked it up

Answer:

0.45%

Step-by-step explanation:

The value of GI, given that GH = 2x - 9 , HI = 14 , and GT = 3x - 8 will be 31.

An algebraic equation is formed by comparing two algebraic expressions to one another.

In G-H-I, GH = 2x - 9, HI = 14 , and GT = 3x - 8

If G-H-I is a line and GH, HI and GT lies between G to I

To find G to I ⇒ GI = GH + HI = GT

GI = 2x - 9 + 14 = 3x - 8

2x + 5 = 3x - 8

2x - 3x = -8 - 5

-x = -13

x = 13

Substituting x in GT = 3x - 8; GI = GT

GI = 3(13) - 8

GI = 39 - 8

GI = 31

Using algebraic expressions, if x is 13 then, 3x - 8 or 2x - 9 will be GI = 31

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Answer:

Second One-

\( {5}^{14}. {5}^{ - 2} \)

Fifth One-

\( {5}^{6} \: . \: {5}^{6} \)

Sixth One-

\( \sqrt{ {5}^{24} } \)

Seventh One-

\( {5}^{11} \: . \: 5 \)