Jimmy, Johny, and Jolly worked part-time on the weekend to earn some extra money. Three of them together earned $57. If Johny earned twice as much as Jolly did and Jimmy earned $3 less than Johny did, how much did Jimmy earn?

The expression for the area of the rectangle inscribed in a circle of radius 9, in terms of n, is:

Area = n * √(81 - n^2)

To find an expression for the area of a rectangle inscribed in a circle of radius 9, we need to use the terms "rectangle" and "circle."

First, let's denote the length of the rectangle as "n" and the width as "w." Since the rectangle is inscribed in a circle with a radius of 9, its diagonal is equal to the diameter of the circle, which is 2 * 9 = 18.

Using the Pythagorean theorem for the right triangle formed by half of the diagonal, the length, and the width, we can write the equation:

(1/2 * 18)^2 = n^2 + w^2
81 = n^2 + w^2

Now, we need to express w in terms of n. To do this, we'll isolate w from the equation:

w^2 = 81 - n^2
w = √(81 - n^2)

The area of the rectangle can be calculated as the product of its length and width:

Area = n * w
Area = n * √(81 - n^2)

So, the expression for the area of the rectangle inscribed in a circle of radius 9, in terms of n, is:

Area = n * √(81 - n^2)

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For a store sells ink cartridges in packages, two packages have the same ratio of cartridges to cost are Package A and Package C.

A ratio is used to comparison of two quantities. An equivalent or same ratio means a ratio that is equal to or has the same value as another ratio. We have a store sells ink cartridges in packages. The table represents the ink cartridges, number Cartridges and total cost.

Ink World Number of Total Cost

Packages Cartridges

Package A 3 $60

Package B 6 $60

Package C 1 $20

Package D 3 $20

We have to determine two packages have the same ratio of cartridges to cost.

Now, check the ratio of cartridges to cost for each packages. For package A,

cartridges : cost = 3 : 60 = 1 : 20

For package B, cartridges : cost = 6 : 60 = 1 : 10

For package C, cartridges : cost = 1 : 20

For package D, cartridges : cost = 3 : 20 = 3 : 20

So, the packagses with same ratio are package A and C.

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Answer: C

Step-by-step explanation:

scale must have enough space for all the values

Answer:

  5 units

Step-by-step explanation:

You want to know the side length of the rhombus with vertices (2, 0), (7, 0), (5, 4), and (10, 4).

You can find the length of the horizontal edges by counting the grid squares, or by subtracting the x-coordinates:

  7 -2 = 5

  10 -5 = 5

The slanted sides are each the hypotenuse of a 3-4-5 right triangle, so are also 5 units long. (You expect all of the sides of the rhombus to be the same length.)

Each side is 5 units long.

The answer is 5, 4.47, 5, and 8.94.

                The distance formula is d = √(x2-x1)^2 + (y2-y1)^2

                                    d = √(7-2)^2 + (0-0)^2

                                    d = √(5)^2 + (0)^2                

                                    d = √(25) + (0)

                                    d = 5

                                     d = √(5 - 7)^2 + (4 - 0)^2

                                      d = √(-2)^2 + (4)^2

                                      d = √4 + 16

                                      d = √20

                                      d = 4.47

                                      d = √(10 - 5)^2 + (4 - 4)^2      

                                      d = √25 + 0

                                      d = 5

                                       d = √(2 - 10)^2 + (0- 4)^2

                                       d = √(-8)^2 + (-4)^2

                                       d = √64 + 16

                                       d = √80

                                       d = 8.94

Therefore, each side of the rhombus has a length of 5, 4.47, 5, and 8.94.

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Answer:

sure

Step-by-step explanation:

tip, add the question.

Answer: 17

Step-by-step explanation:)

Answer:4

Step-by-step explanation:

1=2

Answer:

c. 6

Step-by-step explanation:

Answer:-

\(\boxed{\sf \sqrt{x^2+y^2}}\)

Explanation:-

We know distance formula

\(\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

\(\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}\)

\(\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}\)

\(\\ \sf\longmapsto OP=\sqrt{x^2+y^2}\)

Answer:

90(3) = m or 90 x 3 = m

Step-by-step explanation:

90 minutes per day for 3 days

a. The slope of a line that is parallel to y = 3/5x + 7 is: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 is: -5/3.

Given a line is represented by the equation, y = 3/5x + 7, the slope (m) of the line is 3/5.

Any line that is parallel to y = 3/5x + 7 will have a slope (m) = 3/5 [same slope value].

On the other hand, any line that is perpendicular to y = 3/5x + 7 will have a slope of -5/3 [negative reciprocal].

Therefore:

a. The slope of a line that is parallel to y = 3/5x + 7 would be: 3/5.

b. The slope of a line that is perpendicular to y = 3/5x + 7 would be the negative reciprocal of 3/5, which is: -5/3.

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As the given statement has a lot of misspellings and grammatical errors, assuming that it is intended to be written as: Suppose there are no other sources of energy, and the question is to draw a light ray hitting each box to show what happens when blue light hits the box. Your rays should all start from an emanating source.

Assuming the question is about the interaction of blue light with bes and a black box, here's how the light rays would behave when they hit these boxes:

When blue light is incident on a bes (a type of Hungarian stew), it will be reflected and scattered, as is the case with any non-metallic substance. Blue light has a short wavelength, which causes it to scatter more than other colors in the visible spectrum. The short wavelengths of the blue light cause it to excite the molecules in the air, causing them to emit blue light in all directions, which is why the sky appears blue.

When blue light is incident on a black box, it will be absorbed since black absorbs all colors in the visible spectrum. When blue light is absorbed, its energy is converted into heat. Thus, the black box will warm up as it absorbs more and more blue light.

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The magnitude of 2(u-v +w) is 17.1.

The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.

We need to find the value of 2(u-v+w).

How to find the magnitude of vector?

The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.

Now, 2(2i + 3j-(-i)+5i-6j)

=2(2i+3j+i+5i-6j)

=2(8i-3j)=16i-6j

The magnitude of 16i-6j=√16²+6²=√256+36=√292

Therefore, the magnitude of 2(u-v +w) is √292 which is 17.1.

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You can buy 10 for $7.80

$3.90 × 2 = $7.80

Answer: 5/4

Step-by-step explanation: That should be right because I have big brain. Mark brainlist please :)

Answer:

12 crew members I think hope this helps :)

Step-by-step explanation:

☁️ Answer ☁️

12.

(66 2/3)

---------- (x) = 8

100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

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Hope it helps.

Have a nice day noona/hyung.

The range of the Morning box plot is the same as the range of the Afternoon box plot. Therefore, the correct answer is option A.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

Number of sales in Afternoon:

Minimum value = 4

First quartile = 8

Median = 14

Third quartile = 15

Maximum value = 16

Here, the range is 16-4=12

Number of sales in Morning:

Minimum value = 3

First quartile = 5

Median = 8

Third quartile = 12

Maximum value = 15

Here, the range is 15-3=12

Therefore, the correct answer is option A.

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Answer: Its 999,999

Step-by-step explanation:

You just take your chance of losing and minus your chance of winning to it.

Answer:

60 hours

Step-by-step explanation:

We are given;

Initial amount: A_o = 64 mg

Half life; T_½ = 15 hours

Amount left: A = 4 mg

To get the time that 4 mg of Sodium-24 remain, we will use the formula;

A = A_o(½^(t/T_½))

Where t is the time that 4 mg of Sodium-24 remain.

Thus;

4 = 64 × ½^(t/15)

Divide both sides by 64 to get;

4/64 = 2^(t/15)

0.0625 = ½^(t/15)

In 0.0625 = (t/15) In 0.5

-2.7726 = (t/15) × -0.6931

t = (-2.7726 × 15)/-0.6931

t = 60 hours

The probability that a standard normal variable z falls between −zα/2 and zα/2 is given by 2Φ(zα/2) - 1.

The expression p(−zα/2 < z < zα/2) represents the probability that a standard normal variable z falls between −zα/2 and zα/2. This probability can be calculated using the standard normal cumulative distribution function Φ(z), which gives the probability that a standard normal variable is less than or equal to z.

Using this, we can write:

p(−zα/2 < z < zα/2) = Φ(zα/2) - Φ(−zα/2)

where Φ(zα/2) is the probability that a standard normal variable is less than or equal to zα/2, and Φ(−zα/2) is the probability that a standard normal variable is less than or equal to −zα/2.

We know that the standard normal distribution is symmetric about 0, so we have:

Φ(−zα/2) = 1 - Φ(zα/2)

Substituting this expression into the equation above, we get:

p(−zα/2 < z < zα/2) = Φ(zα/2) - [1 - Φ(zα/2)] = 2Φ(zα/2) - 1

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Answer:

about 3.5 hrs

Step-by-step explanation:

Answer:

504.

Step-by-step explanation:

multiplication is just repeated addition. so it would be 84+84+84+84+84+84. multiply all 6 80's first to get 480. then multiply all 6 4's to get 24. 480+24=504

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

11 is prime with factors 1 and 11.

Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 foot by 11 feet.

Step-by-step explanation:

Please give the brainliest, really appreciated.

The charge for each hour is $39.50. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The given equation is y=39.50x+75.

The standard form of the slope intercept form is y=mx+c.

Where, m is slope or rate of change.

In the equation y=39.50x+75

The total charge is y, x is number of hours, $75 is base fee and $39.50 is charge per hour.

Therefore, option D is the correct answer.

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Answer:

C. 5

Step-by-step explanation:

Mean: Numbers over amount of numbers

(2 + 4 + 5 + 6 + 8)/5

25/5

5

Answer:

c. 412.5 cm^2

Step-by-step explanation:

first triangle: 5 x 15 = 75

75/2 = 37.5

rectangle:  15 x 19 = 285

triangle 2: 15 x 12 = 180

180/2 = 90

37.5 + 285 + 90 = 412.5

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24