Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.


W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?

Answer:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

Step-by-step explanation:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

Answer:

5 feet

Step-by-step explanation:

Let's call the width of the rectangle "w". Then, the length would be "w + 7".

The perimeter of the rectangle is given as 34 feet, so we can set up an equation using the two sides of the rectangle:

2w + 2(w + 7) = 34

Expanding the second term and simplifying the equation, we get:

2w + 2w + 14 = 34

4w + 14 = 34

4w = 20

w = 5

Therefore, the width of the rectangle is 5 feet.

Mean of the set of numbers = 23

Median of the set of numbers = 23

Mode of the set of numbers = 16, 19, 23, 26, 31

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Given numbers,

26, 31, 19, 23, 16

Putting in Ascending order

16, 19, 23, 26, 31

No. of elements N = 5

Mean = (26 + 31 + 19 + 23 + 16)/5

Mean = 115/5

Mean = 23

Since N = 5 (Odd)

Median = (N+1)/2th term

            = (5+1)/2th term

            = 6/2th term

            = 3rd term

            = 23

Every element has same frequency,

Mode = 16, 19, 23, 26, 31

Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31

of the set of the numbers.

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The solution for each system of equations is given as follows:

1. (-2,-2).

2. (4,1).

When a system of equations is plotted on graph, the solutions are the intersection points of all the functions that compose the system.

For the first system, the graphs intersect at a x-coordinate of -2 and an y-coordinate of -2, hence the coordinates are given as follows:

(-2,-2).

For the first system, the graphs intersect at a x-coordinate of 4 and an y-coordinate of 1, hence the coordinates are given as follows:

(4,1).

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The supplementary angles are (a) >AFC and >CFB

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

As a general rule, supplementary angles are angles that add up to 180 degrees

From the attached figure, we have

AFC + CFB = 180 degrees

This means that these angles are supplementary angles

Hence, the supplementary angles are (a) >AFC and >CFB

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Answer:

X= ( 14,0)

Y= (0, -2)

The equation which is used to represent the ages of Pierre and Claude is given by p = c + 3.

Linear equation in two variables can be written in the form of ax + by = c where a, b and c are constant terms and x, y are independent and dependent variables respectively. Here in this question the age of Pierre is represented as p and the age of Claude is represented as c. Since, Pierre is 3 years older than Claude then the equation representing their age can be formulated as:

p = c + 3 where p is Pierre's age and c is Claude's age and this represents that Pierre's age will be given when we will add 3 years more in the age of Claude.

Thus, the equation representing the age of Pierre is p = c + 3.

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Answer:

p=c+3

20 years old

Step-by-step explanation:

This can be proved by considering triangle BOC and triangle BAC as right triangles. The sum of the angles in a triangle is 180°, and in a right triangle, one of the angles is 90°. So, in each of triangles BOC and BAC, the sum of the other two angles must be 90°.

A triangle is a geometric shape that consists of three points, called vertices, connected by three line segments, called sides. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their sides (equilateral, isosceles, scalene) and their angles (acute, right, obtuse).

Hence, the sum of angle BOC and angle BAC must be 180°

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Graph shows the relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

A survey mile is equal to 1609.344 / (1200/3937 5280) (=0.999998) international miles. Before the 1959 international yard and pound agreement, which determined the yard to be precisely 0.9144 meters, the actual length of the land mile varied somewhat across English-speaking nations, yielding a mile of exactly 1,609.344 meters.

we know that :-

1 mile = 1609.344 km

1 km = 0.621 miles

a) 20 miles= 20* 1609.344 km= 32.187km = 32.2km

b) 64km = 64*0.621 miles = 39.744 miles

So, Relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

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The accounts receivable turnover in 20Y3, and 20Y2 are 5. 9 and 5. 4 respectively.

The accounts receivable turnover for Henock can be found by the formula :

= Sales / Average assets

For the year 20Y3, the accounts receivable turnover would be:

= 646, 050 / ( ( 106, 000 + 113, 000 ) / 2 )

= 646, 050 / 109, 500

= 5. 9

For year 20Y2, the accounts receivable turnover is:

= 630, 720 / ( ( 113, 000 + 120, 600 ) / 2 )

= 630, 720 / 116, 800

= 5. 4

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The full question is:

The following data are taken from henock plc.

Terms of all sales are 2/10, n/45. 20Y3 20Y2 20Y1 Accounts receivable, end of year $106,000 $113,000 $120,600 Sales on account 646,050 630,720.

For 20Y2 and 20Y3, determine (1) the accounts receivable turnover

The number of sells she needs to to in order to earn same as fixed monthly salary, 3000

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

First choice, monthly salary of ​$1260 from a company

Second choice, base salary of ​$1200 and a ​2% commission on the amount of furniture she sells during the month.

Let's call the amount of furniture Juliet sells each month "x".

With the second option, Juliet would receive a monthly salary of $1200 + 0.02x,

We want to find the value of x such that this salary is equal to $1260, so we can set up the following equation:

$1200 + 0.02x = 1260

Subtracting $1200 from both sides:

0.02x = 60

Dividing both sides by 0.02:

x = 3000

So, for Juliet to earn the same salary with either option, she would need to sell $3000 worth of furniture each month.

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a)The Molecular geometry for AF₃, in above three figures are

i) Trigonal Planar

ii) Trigonal pyramidal

iii) T-shaped

b) NF₃(Nitrogen trifluoride), PF₃(Phosphorus trifluoride).

c) ClF₃(Chlorine trifluoride).

Molecular geometry studies the formulation of 3-D shapes by molecules and how these shapes relate to chemical reactivity and physical properties.

(i) If the central atom A has four valence electrons and three monovalent atom B, then A can form three sigma bond with B and zero free electron left around A, so the molecule is sp² hybridized with three bond pair so it has trigonal planar shape.

ii) If the central atom A has three valence electrons and three monovalent atom B, when there are three bonds and one lone pair on the central atom in the molecule, so the molecule is sp³ hybridized and has trigonal pyramidal.

iii) If the molecule is If the molecule is sp³d hybridized, it has three bond pairs and two lone pair and has T-shaped.

b) Here, we see A have three (+3) valency and F have (-1) valency. In the provide atoms are Atom --> valency : Li --> 1 , B--> 3 , N--> 3 , Al --> 3 , P --> 3 , Cl --> 1. But here AF₃ only possible combinations of metal A and Fluorine, F. So, the required element is NF₃(Nitrogen trifluoride), PF₃(Phosphorus trifluoride).

c) The shape (iii) is T- shaped in nature. After reading the above discussion the molecule which has T -shaped is ClF₃(Chlorine trifluoride).

Hence, the required is ClF₃.

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Complete question:

This figure shows ball-and-stick drawings of three possible shapes of an AF₃ molecule (above figure).

a)For each shape, give the electron-domain geometry on which the molecular geometry

b) Which of the following elements will lead to an AF₃ molecule with the shape in (ii): Li, B, N, Al, P, Cl?

c) Name one of the possible elements A those are expected to lead to the AF₃ structure shown in (iii). Express your answer as a chemicl symbol.

The total surface area of the solid cubes is 62 cm².

Your question is incomplete but most probably your full question was:

The solid below is made from 1 centimeter cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.

A 1 cm cube has length = width = height = 1 cm.

So area of cube = length x length 1× 1= 1cm²

Consider a particular body view or part.

Left Surface Area = Right Surface Area = 1 × 10 = 10 cm²

Front area = Back area = 1x 9 = 9 cm²

Its plan area = its floor area = 1 x 12= 12 cm²

Total solid surface area = 10 + 10 + 9+9+12+12 = 62cm²  

A cube is a geometric shape where all the sides are square and all the edges are the same length. Examples of these shape objects include rubik's cubes, dice, and gift boxes.

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Answer:

47

Step-by-step explanation:

a = número original de bolitas azules

r = número original de bolitas rojas

Al cabo de 5 días:

a + 5 × 2 = r - 5 × 3

Al cabo de 9 días:

a + 9 × 2 = 2(r - 9 × 3)

a + 10 = r - 15

a + 18 = 2r - 54

a = r - 25

a + 18 = 2r - 54

a = r - 25

r - 25 + 18 = 2r - 54

a = r - 25

-r = -47

r = 47

Answer: 47

None of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

The group of six natives, U, V, W, X, Y, and Z, all make statements about how many of them are knights. U says that none of them are knights, which is false. V says that at least three of them are knights, which is also false. W says that at most three of them are knights, which is false. X says that exactly five of them are knights, which is also false. Y says that exactly two of them are knights, and this is false. Finally, Z says that exactly one of them is a knight, and this is true. Therefore, none of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

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Answer:

x <  1

Step-by-step explanation: A closed dot means "includes" such as ≤ and ≥. An open dot means that it does not include the integers in the direction the arrow is pointing so the symbols are: <, or >. Think of it as closed dot: case closed know answer, and open dot the question is up or open for discussion. meaning it could be ANY of the integers the arrow is pointing.

The ending balance on your account on November 15, 2004, was $142.72.

The ending balance is the arithmetic difference between the beginning balance, deposits, and withdrawals, including interest and finance charges.

To determine the ending balance, add all deposits to the beginning balance and deduct all charges against the account

Beginning balance                           $200.00

Nov. 13, 2004 Groceries Purchase    $42.63    $157.37

Nov. 14 Deposit                                   $20.45   $177.85

Nov. 15, 2004 Check for textbook     $35.10   $142.72

Thus, based on your beginning balance, deposits, purchases, and checks, the ending balance has been determined as $142.72.

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Indicate your remaining balance.​

3) The value of function is,  cos² θ

4) The value of function are,

⇒ cos 3π/2 = - 1

⇒ sin 5π/3 = - √3/2

5) The value of k is, 4.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

3) The function is,

⇒ sin θ cos θ / tan θ

Simplify as;

⇒ sin θ cos θ / (sin θ / cos θ)

⇒ cos² θ

4) The value of function are,

⇒ cos 3π/2 = cos (π + π/2)

                  = - cos (π/2)

                  = - 1

⇒ sin 5π/3 = sin (2π - π/3)

                 = - sin π/3

                 = - √3/2

5) The expression is,

⇒ √(2k² + 17) - x = 0

⇒ √2k² + 17 = x

Square both side,

⇒ 2k² + 17 = x²

Substitute x = 7;

⇒ 2k² + 17 = 7²

⇒ 2k² + 17 = 49

⇒ 2k² = 49 - 17

⇒ 2k² = 32

⇒ k² = 16

⇒ k = 4

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a) The solution to the equation is y = ( 21,600 - 3.6x ) / 7.5 , where y is the number of trucks and x is the number of cars

b) when x = 1,000 cars , y = 2,400 trucks and

when x = 4,250 cars , y = 840 trucks

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of cars be x

Let the number of trucks be y

The total cargo the ship can hold = 21,600 tons

The weight of one car = 3.6 ton

The weight of one truck = 7.5 tons

Now , the equation will be

3.6x + 7.5y = 21,600

On simplifying the equation , we get

Subtracting 3.6x on both sides of the equation , we get

7.5y = ( 21600 - 3.6x )

Divide by 7.5 on both sides of the equation , we get

y = ( 21,600 - 3.6x ) / 7.5

The number of trucks y = ( 21,600 - 3.6x ) / 7.5

b)

Now , when x = 1000 cars

Substitute the value of x in the equation , we get

y = ( 21,600 - 3.6 ( 1000 ) ) / 7.5

y = 2,400 trucks

And , when x = 4250 cars

Substitute the value of x in the equation , we get

y = ( 21,600 - 3.6 ( 4250 ) ) / 7.5

y = 840 trucks

Hence , the equation is y = ( 21,600 - 3.6x ) / 7.5

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The graph of the equation shown above has infinite number of solutions.

In Mathematics, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

In Mathematics, an equation is said to have an infinitely many solution (infinite number of solutions) when the left hand side and right hand side of the equation are the same or equal.

Since the line representing this equation extends infinitely, we can reasonably infer and logically deduce that it has infinitely many solution (infinite number of solutions). Therefore, every point located on this line would satisfy the equation.

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Increasing the compounding interval from annual to daily has a positive impact on the future value of an investment and a negative impact on the present value of an investment.

The compounding interval refers to the frequency at which interest is calculated and added to the balance of an investment. Increasing the compounding interval from annual to daily will impact the future value and present value of an investment.

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Answer:

250 adult tickets

Step-by-step explanation:

s = number of student tickets

a = number of adult tickets

s = a - 56  ==> 56 fewer student tickets sold than adult tickets

s + a = 444   ==> 444 total tickets were sold

(a - 56) + a = 444  ==> plug in a - 56 for s to solve for one variable

a - 56 + a = 444

a + a - 56 = 444  ==> combine like terms

2a - 56 = 444

2a = 500  ==> add 56 on both sides

a = 250 adult tickets

s:

s + a = 444

s + 250 = 444 ==> plug in 250 for a

s = 194 student tickets sold

a - s = 56

250 - 194 = 56 √

Hence, the difference between the number of student and adult tickets is 56.

Answer:

y = 7x - 7

Step-by-step explanation:

The equation for the function can be found using the slope-point form of a linear equation: y = mx + b, where m is the slope of the line and (x, y) is a point on the line.

To find the slope, we can use the two points:

m = (35 - 21) / (12 - 4) = 7

To find the y-intercept, we can substitute one of the points and the slope into the equation:

21 = 7 * 4 + b

Solving for b, we get:

b = 21 - 28 = -7

So, the equation of the line is:

y = 7x - 7

The solution is, the area of the given figure is 156 ft^2.

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure , we get,

the trapezoid's,

parallel sides are, 10 ft. & 3ft.

height =24 ft.

so, area = ½ (a + b) h,

i.e. A =156ft^2

Hence, The solution is, the area of the given figure is 156 ft^2.

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Answer:

356 i think this is it sorry if its not

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

2 + 2 +2 x2 x2 x2 2x 2 = 356

The number of lines of symmetry that the flag has is; 2

A line of symmetry is defined as the line that divides a shape or an object into two equal and symmetrical parts.

The given flag represents a rectangle and we know that there are 2 symmetry lines of a rectangle which are from its length and breadth. These two symmetry lines cut the rectangle in two similar halves which are mirror images of each other.

Thus, this flag given will have 2 symmetry lines.

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a. The probability that die 1 beats die 2 is 1/4\

b. The probability that die 2 beats die 3 is 2/4 or 1/2

c.  The probability that die 3 beats die 1 is 1/4.

Nothing strange occurred because the probabilities found are all based on the number of sides of each die and their values, which followed the expected outcome for any fair dice.

Probability is described as the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The probability that die 1 beats die 2 is 1/4 because  die 1 has three sides with the value of 3, and die 2 has only one side with a value which is greater than 3. Hence  there is a 1 in 4 chance that the result of rolling die 1 will be greater than the result of rolling die 2.

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20 is 8 less than 28 as 3x-5 is 10 less than 3x-5+10.

Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, 20 is to 28 as 3x-5 is to 3x-5+10

We see, 28-20 = 8

That mean, we need to add 8 to 20 or subtract 8 from 28 to make both equal,

Therefore, we can say, 20 is 8 less than 28, or 28 is 8 more than 20,

Similarly,

3x-5 and 3x-5+10

We see, 3x-5+10 - (3x-5)

= 3x+5-3x+5

= 10

That mean, we need to add 10 to 3x-5 or subtract 10 from 3x-5+10 to make both equal,

Therefore, 3x-5 is 10 less than 3x-5+10, or 3x-5+10 is 10 more than 3x-5,

Hence, 20 is 8 less than 28 as 3x-5 is 10 less than 3x-5+10.

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A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

A. No, this set is not a vector space. The set of all skew-symmetric 3x3 matrices does not contain the zero matrix, which is a requirement for a vector space.

B. Yes, this set is a vector space. The dimension is 2, and the basis is the functions y(x) = cos(2x) and y(x) = sin(2x). To verify this is a vector space, we need to check that the set is closed under addition and scalar multiplication. For arbitrary real constants a and b, the function y(x) = a cos(2x) + b sin(2x) is a linear combination of the basis vectors. This means that it is closed under addition and scalar multiplication, so the set is a vector space

A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

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