Shakira is baking cookies to put in packages for a fundraiser. Shakira has made 86 chocolate chip cookies and 42 sugar cookies.
Shakira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?

Answers

Answer 1

Answer:

she can make 42 identical packages

Step-by-step explanation:

Answer 2

Answer:

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

-I hope this is the answer you are looking for, please feel free to post your questions of brainly.com in the future.


Related Questions

Please answer this question (image attatched

Answers

..................Is this a joke?

Please please help
I haven’t had WiFi and I have over 18 days of This

Please please help I havent had WiFi and I have over 18 days of This

Answers

Answer:

Step-by-step explanation: a= E

b=D

c=A

Answer:

A. E

B. D

C. A

Step-by-step explanation:

A teacher is making gift bags. Each bag is to be filled with pencils and stickers. The teacher has 24 pencils and 36 stickers. Each bag will have the same number of each item, with no item left over.

for example, she could make two bags with 12 pencils and 18 stickers each.

What are the other possibilities? Explain your reasoning.

Answers

Answer:

3 bags with 6 pencils and 12 stickers.

Step-by-step explanation:

3 goes into both 24 and 36 which makes this possible

3 bags with 8 pencils and 12 stickers ( 3 ⋅ 8 = 24 and 3 ⋅ 12 = 36 )

4 bags with 6 pencils and 9 stickers ( 4 ⋅ 6 = 24  and 4 ⋅ 9 = 36 )

6 bags with 4 pencils and 6 stickers ( 6 ⋅ 4 = 24 and 6 ⋅ 6 = 36 )

12 bags with 2 pencils and 3 stickers( 12 ⋅ 2 = 24 and 12 ⋅ 3 = 36 )

Help me pls!!!
3x-2(6-x)=7x+2(5+x)-6

Answers

\(3x-2(6-x)=7x+2(5+x)-6\\3x-12+2x=7x+10+2x-6\\5x-12=9x+4\\-4x = 16\\x = -4\)

Hope that helps!

Answer:

x=-4

Step-by-step explanation:

when you are done, you can search this problem and figure out the 13 steps there are.

Slope of the line that passes through (6,0) and (0,-6)

Answers

Hey there!

The formula is:

• m = rise / run

• m = y₂ – y₁ / x₂ – x₁

• y₂ = –6

• y₁ = 0

• x₂ = 0

• x₁ = 6

• Equation: “–6 – 0 / 0 – 6”

–6 – 0 = –6 ⬅️ numerator (TOP number)

0 – 6 = –6 ⬅️ denominator (BOTTOM number)

Equation: –6 / –6

SOLVE above and you will have your ANSWER.

–6 / –6 = 1 because double negatives makes a negative.

The slope of line that passes through your given points is: 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25


\(53 \times \frac{8}{6} \)
i dont know how to do it can u show me​

Answers

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

53x8
____

1x6


Do that and ur answer

The following residual plot is obtained after a regression equation is determined for a set of data. Does the residual plot indicate that the regression equation is a good model or a bad model of the data? Why or why not?

The following residual plot is obtained after a regression equation is determined for a set of data.

Answers

The residual plot shows that the regression equation is a good model of the data because it shows a random scatter of points around a horizontal line at zero, with no pattern or trend

What makes a residual plot a good model?

A residual plot is a scatter plot of the residuals against the predictor variable(s) or the fitted values. It is used to verify whether the regression equation fits the data well.

In the event that the residual plot shows a random scatter of points around a horizontal line at zero, with no pattern or trend, it shows that the regression equation is a good model of the data.

On the other hand, supposing the residual plot shows a pattern or trend, such as a curve, a U-shape, or a funnel shape, it shows that the regression equation is a bad model of the data.

Therefore, from the graph given, the residual plot shows that the regression equation is a good model of the data.

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Which values of x satisfy the inequality 0.5x-0.75>23.257
O X25
O x≤5
O x≤8
X28

Answers

Answer:

Step-by-step explanation:

To solve the inequality 0.5x - 0.75 > 23.257, we can isolate the variable x by adding 0.75 to both sides, and then dividing both sides by 0.5. Remember to reverse the inequality sign when dividing by a negative number.

0.5x - 0.75 > 23.257

0.5x > 23.257 + 0.75

0.5x > 24.007

x > 24.007 / 0.5

x > 48.014

Therefore, the values of x that satisfy the inequality are greater than 48.014. Among the given choices, only 28 is greater than 48.014, so the answer is x = 28.

The correct inequality is x ≥ 8.

What is an inequality?

An inequality is a relation between two numbers or expressions that are not equal.

It can show which of them is greater or smaller by using symbols like < or >.

It can also be a statement of fact about the order relationship of quantities.

Given is an inequality,

0.5x - 0.75 ≥ 3.25

Adding 0.75 to both sides

0.5x -0.75 +0.75 ≥ 3.25 + 0.75

0.5x ≥ 4

Divide both sides by 0.5

(0.5x) / (0.5) ≥ (4) /(0.5)

x ≥ 8

Hence, the correct inequality is x ≥ 8.

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y -7.2 = 8 I need this as explanation and in algebraic show

y -7.2 = 8 I need this as explanation and in algebraic show

Answers

Answer:

Heyya !

Here's how to do it:-

First write down what's given:-

y -7.2 = 8

Next, we do like this:-

y = 8+ 7.2

We transferred 7.2 to the other side of the ' = ' sign.

When we do so, the sign of the number changes

Here 7.2 was negative first but when we transferred it to the other side, its sign changed to positive.

So,

y = 8 + 7.2

Now, just add it!

8 + 7.2 equals 15.2

So, the value of y is 15.2  I hope the explanation was clear.If you still have doubts, let me know in the comments !

Consider this expression.
m² - 7 + n²
When m = -2and n = 5, the value of the expression is

Answers

Answer:

22

Step-by-step explanation:

Just substitute and solve!

(-2)^2 - 7 + (5)^2 = 4 - 7 + 25 = 22

hope this helps! <3

11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.

11. The area of a circle is r2 where r is the length of the radius. Thus, one could take the measure

Answers

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

What is the area of the sector?

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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What is the area of the polygon given below?

A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units

What is the area of the polygon given below?A. 55 square unitsB. 186 square unitsC. 131 square unitsD.

Answers

Answer:

B. \(\displaystyle 186\:square\:units\)

Explanation:

All edges conjoin to form right angles, therefore you have these:

\(\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7\)

OR

\(\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11\)

I am joyous to assist you at any time.

g^2+2g-48=0
g=
Use a comma to separate answers as needed

Answers

Answer:

g = -8, 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

QuadraticsFactoringMultiple Roots

Step-by-step explanation:

Step 1: Define

Identify

g² + 2g - 48 = 0

Step 2: Solve for g

Factor:                                                                                                               (g + 8)(g - 6) = 0Find roots:                                                                                                         g = -8, 6

The 2007 BMW 335i Coupe is offered with a choice of 14 exterior colors, 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model?

Answers

Answer:

76 colors available

Step-by-step explanation:

Given

\(Exterior\ Colors = 14\)

\(Interior\ Colors = 5\)

\(Trims = 4\)

Required

Determine the possible combinations available

From the question, there is no distinction between the selection of external and internal color.

So:

\(Colors = 14 + 5\)

\(Colors = 19\)

The are 19 possible colors and 5 possible trims.

So, number of combination is answered using the following rule of product

\(Combination = Colors * Trims\)

\(Combination = 19 * 4\)

\(Combination = 76\)

The diagram shows a circle inside a square work out the area of this circle
16cm is the square

Answers

The area of the circle inscribed inside the square is 64π cm²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The circle inside the square as shown in the diagram have a diameter of 16 cm. Hence:

Radius = diameter / 2 = 16/2 = 8 cm

Area of circle = π * radius² = π * 8² = 64π cm²

The area of the circle inscribed inside the square is 64π cm²

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The diagram shows a circle inside a square work out the area of this circle16cm is the square

each statement below involves odd and even integers. an odd integer is an integer that can be expressed as , where is an integer. an even integer is an integer that can be expressed as , where is an integer. prove each of the following statements using a direct proof. (a) the sum of an odd and an even integer is odd. (b) the sum of two odd integers is an even integer. (c) the square of an odd integer is an odd integer. (d) the product of two odd integers is an odd integer. (e) if x is an even integer and y is an odd integer, then is odd. (f) if x is an even integer and y is an odd integer, then is even. (g) if x is an even integer and y is an odd integer, then is odd. (h) the negative of an odd integer is also odd. (i) if x is an even integer then . (j) if x is an odd integer then .

Answers

(A) Assume that m is an odd number and n is an even number. Then, for some integers k and j, we can write m = 2k+1 and n = 2j. Then, m + n = (2k+1) + 2j = 2(k+j) + 1 is the sum of m and n. K+J is an integer because k and j are both integers. As a result, we can prove the statement by writing m+n as an odd integer (2(k+j)+1).

(b) Make m and n both odd-numbered. Then we can write m = 2k+1 and n = 2j+1 for some integers k and j. Then, m + n = (2k+1) + (2j+1) = 2(k+j+1) is the result of adding m and n. K+J+1 is an integer because k and j are both integers. As a result, we can prove the statement by writing m+n as an even integer (2(k+j+1)).

(c) Assume m is an odd number. Then, for some integer k, we can write m = 2k+1. Consequently, m2 = (2k+1)2 = 4k2 + 4k + 1 = 2(2k2 + 2k) + 1 is the square of m. We can demonstrate the claim by writing m2 as an odd integer (2(2k2+2k) + 1) since 2k2 + 2k is an integer.

(d) Make m and n both odd-numbered. Then we can write m = 2k+1 and n = 2j+1 for some integers k and j. Then, mn = (2k+1)(2j+1) = 4kj+2k+2j+1 = 2(2kj+k+j) + 1 is the result of the product of m and n. We can demonstrate the claim by writing mn as an odd integer (2(2kj+k+j) + 1) since 2kj+k+j is an integer.

(e) Assume that x is an even number and y is an odd number. Then, for some integers k and j, we can write x = 2k and y = 2j+1. Then, x + y = 2k + 2j + 1 = 2(k + j) + 1 is the sum of x and y. K+J is an integer because k and j are both integers. As a result, we can prove the statement by writing x+y as an odd integer (2(k+j)+1).

(f) Let x be an even integer and y be an odd integer. Then we can write x = 2k and y = 2j+1 for some integers k and j. Then the product of x and y is xy = (2k)(2j+1) = 4kj + 2k. Since 4kj+2k is an even integer (it is divisible by 2), we have proven the statement.

(g) Let x be an even integer and y be an odd integer. Then we can write x = 2k and y = 2j+1 for some integers k and j. Then the difference of x and y is x-y = 2k - (2j+1) = 2(k-j) - 1. Since k and j are integers, k-j is also an integer. Therefore, we can write x-y as an odd integer (2(k-j)-1), proving the statement.

(h) Let m be an odd integer. Then we can write m = 2k+1

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Consider proving the following.

Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.




A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?


1. Rotate △ABC′ 90∘ about point A.

2. Reflect △WXY in WX←→− to create △WXY′.

3. Translate △ABC′so that point A maps to point W.

4. Find the hypotenuse of △ABC′ in terms of s.

Consider proving the following.Given Right isosceles ABC with leg length 2s, right isosceles WXY with

Answers

Answer: 2

Step-by-step explanation:

3 less than triple a number results in 42. Find the number.

Answers

Answer:

14

Step-by-step explanation:

let the number be x

3x=42

x=42/3

=14

find the unknown value of 4/3=12/?

Answers

Answer:

4/3=12/9

Step-by-step explanation:

4x3=12

3x3=9

Hence, the correct answer is 9.

What is the length of the apothem of the regular pentagon shown below? Round to one decimal place

What is the length of the apothem of the regular pentagon shown below? Round to one decimal place

Answers

The length of the apothem of the regular pentagon shown is 5.2 meters

How to determine the length of the apothem?

Represent the central angle of the regular pentagon using x

The value of the central angle of the regular pentagon is then calculated as:

x = 360/n

Where n represents the number of sides

i.e n = 5

So, we have:

x = 360/5

Evaluate the quotient

x = 72

Represents the apothem with y.

The apothem is then calculated as:

tan(x/2) = (Side length/2)/Apothem

This gives

tan(72/2) = (7.6/2)/y

Evaluate the quotient

tan(36) =3.8/y

Multiply both sides by y

y tan(36) = 3.8

Divide both sides by tan(36)

y = 3.8/tan(36)

Evaluate the quotient

y = 5.2

Hence, the length of the apothem of the regular pentagon shown is 5.2 meters

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Write the vertex form of the quadratic equation by completing the square and upload a picture of your work. y=4x^2+16x-48

Answers

The vertex form of the quadratic equation given is  y = 4(2x +1)² -12

What is an Equation ?

An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.

A quadratic equation is given

y = 4x² +16x -48

The vertex form has to be written for it

The standard quadratic equation is

y = a(x-h)² +k

where h and k are the vertex

From the given equation

y = 4x² +16x +4 - 4 -8

y = (4x+2)² -12

y = 4(2x +1)² -12

So here it is in the standard form

Vertex is (-1 , -12)

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In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?

Answers

The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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I need help with this

I need help with this

Answers

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.

Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.

To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.

Which figures could Brian be constructing?

equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C

Answers

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Heritage Company uses a job-order costing system to assign costs to jobs. It had no work in process or finished goods inventories on hand at the beginning of May. The table below provides data concerning the only three jobs worked on in May.

Job X Job Y Job Z
Direct labor hours 200 80 120
Direct materials $ 4,800 $ 1,800 $ 3,600
Direct labor $ 2,400 $ 1,000 $ 1,500
Jobs X and Y were completed in May; however, only 150 of the 200 units included in Job X were sold in May, whereas all 100 of Job Y’s units were sold in May. Job Z was not completed by the end of the month.

Overhead costs are applied to jobs based on direct labor-hours and the predetermined overhead rate is $45 per direct labor-hour. The company’s total applied overhead always equals its total actual overhead.

Required:
Compute the amount of overhead cost that would have been applied to each job during May.
Compute the work in process inventory that would be reported in the company’s May 31 balance sheet.
Compute the finished goods inventory that would be reported in the company’s May 31 balance sheet.
Compute the cost of goods sold that would be reported in the company’s income statement for May.

Answers

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

What is the predetermined overhead rate?

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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3 9/13 to a improper fraction

Answers

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

A sphere and its dimension are shown in the diagram 15 inches

Answers

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

What is the volume of an sphere?

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

Missing Information

The sphere is given by the image presented at the end of the answer.

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A sphere and its dimension are shown in the diagram 15 inches

How much is 78 divided by 4 ?

Answers

Answer:

19.5 my bro!

Step-by-step explanation:

Answer:

19.5 just put it in the calculator

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?>{

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Answers

Answer:

C) 1

Step-by-step explanation:

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Joshua drove his car a distance of 321.7 miles, and it required 13.6 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers? How might the water supply system be diffrent if the city was farther away from the water source -Science Find the values of the sine, cosine, and tangent for ZA.(TOP OF TRIANGLE IS (A)) Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD Please help me with this homework "Development Team is waiting for a specific software component that they need to integrate and use.The component should be ready in two months.The Backlog Items with highest priorities depend on this specific component.What should the Product Owner do?" MARK ALL THAT APPLY. Which of the following blood vessels carry de-oxygenated blood in the pulmonary circulation? 1) venules 2) arteries 3) veins 4) arterioles Question 2 (2 points) MARK ALL THAT APPL For what values of k the roots of the quadratic equation 9x 2 )+ 3kx 4 0 are equal? True or false?Cadmium is not in the mixture because the mixture does not contain a spectral line at 515nm in a raffle, one ticket out of 500 will win a $330 prize, nine tickets will win a $210 prize, and eleven tickets will win a $30 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff? The audience and speaker will always have different aims.A. True . False Evaluate the expression 8+3(20+5) PLEASE ANSWER ASAP1. How many atoms are present in 8.500 mole of chlorine atoms?2. Determine the mass (g) of 15.50 mole of oxygen.3. Determine the number of moles of helium in 1.953 x 108 g of helium.4. Calculate the number of atoms in 147.82 g of sulfur.5. Determine the molar mass of Co.6. Determine the formula mass of Ca3(PO4)2.IT WOULD BE HELPFUL 6. Solve the problem. A carousel has a radius of 18 feet and takes 31seconds to make one complete revolution. What is the linear speed ofthe carousel at its outside edge? Express the answer in feet per second.If necessary, round the answer to two decimal places. 1. Patrick and Shelby are playing a game. They toss a fair six-sided number cube, numbered 1 through 6, and spin a spinner that is divided into 2 equal regions, one colored red and one colored blue. Which list represents all possible outcomes of tossing the number cube and spinning the spinner? Kevin is a quality control associate for a consumer goods firm. According to Kevins appraisal report, his managers identify him as someone who has the ability to ascertain if an otherwise good opportunity is likely to conflict with the organizational vision. They also observe that in spite of being an associate, he is proactive in collaborating with different teams, thus seeking ideas from them and involving them in various decisions. According to his managers, Kevin has _____.A. high levels of bureaucratic controlB. low levels of collaborative synergy and contextual resilienceC. high levels of company-related competenciesD. an external locus of control Which expression is equivalent to 5j + 3j + 9j?A. 12jB. 32jC. 48jD. 17j Why was the powhatan confederacy suspicious of the jamestown colonists when the colonists arrived. what was one important effect of the supreme court ruling in gibbons v ogden? Which transformation maps the large triangle onto thesmall triangle?