B is between A and C.

AB=50 BC=3x AC=6x−25
Find the value of x.

25
65
20
45

Bill invested $2000 at 5% annual interest

To solve for the word problem, you need to set up two equations.

Let B and J represent how much Bill and Janette invested respectively

The interest of 5%  = 5/100 = 0.05 and 7%  = 7/100 = 0.07

Based on the given info, we can write that:

J + B = 5000 --- (1)

0.05B + 0.07J= 310 --- (2)

From (1):

J = 5000 - B --- (3)

Put (3) in (2):

0.05B + 0.07(5000 - B) = 310

0.05B + 350 - 0.07B = 310

-0.02B = 310-350

-0.02B = -40

0.02B = 40

B = 40/0.02

B = $2000

Thus, Bill invested $2000

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Answer:

ratio of y/x=7/5

when value of x =15

then value of y=15*7/5=21

so value of y=21

i am from india btw

Step-by-step explanation:

Answer:

26 spoons

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{39}[/tex]

3 x 13 = 39

2 x 13 = 26

The equation that passes through the point  (-4,1)  y=-3/2x-5

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here, the line that passes through the point (-4,1) and has a slope of -3/2 then let the equation of the line be y=mx+c then we get

⇒1= -3/2×-4+c

⇒c= -5

Hence, The equation that passes through the point  (-4,1)  y=-3/2x-5

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Answer:

D

Step-by-step explanation:

[tex]\frac{15}{x-6}[/tex] + [tex]\frac{7}{x+6}[/tex]

before we can add the fractions we require them to have a common denominator.

the common denominator is (x - 6)(x + 6)

= [tex]\frac{15(x+6)}{(x-6)(x+6)}[/tex]  + [tex]\frac{7(x-6)}{(x-6)(x+6)}[/tex]

= [tex]\frac{15x+90+7x-42}{(x-6)(x+6)}[/tex] ← expand denominator using FOIL

= [tex]\frac{22x+48}{x^2-36}[/tex]

The number of pieces and total cost of each shape is as follows;

1) Number of pieces = 6

Total Cost = 6 * 0.12 = $0.72

2) Number of pieces = 4

Total Cost = 4 * 0.66 = $2.64

3) Number of pieces = 3

Total Cost = 4 * 0.02 = $0.08

4) Number of pieces = 4

Total Cost = 4 * 0.04 = $0.16

5) Number of pieces = 4

Total Cost = 4 * 0.04 = $0.16

6) Number of pieces = 4

Total Cost = 4 * 0.02 = $0.08

1) This piece is a hexagon which has 6 sides and as such;

Number of pieces = 6

Cost of each piece = $0.12

Total Cost = 6 * 0.12 = $0.72

2) This piece is a trapezium which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.66

Total Cost = 4 * 0.66 = $2.64

3) This piece is a Triangle which has 3 sides and as such;

Number of pieces = 3

Cost of each piece = $0.02

Total Cost = 4 * 0.02 = $0.08

4) This piece is a square which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.04

Total Cost = 4 * 0.04 = $0.16

5) This piece is a rhombus which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.04

Total Cost = 4 * 0.04 = $0.16

6) This piece is a rhombus which has 4 sides and as such;

Number of pieces = 4

Cost of each piece = $0.02

Total Cost = 4 * 0.02 = $0.08

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Answer:

Step-by-step explanation:

It sounds like you have a right triangle with one angle of 90 degrees and the lengths of the sides are 24 cm, 60 cm, and 80 cm. If this is the case, then you can use the Pythagorean theorem to find the length of the hypotenuse, which is the side opposite the right angle.

The Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, we have:

c^2 = a^2 + b^2

c^2 = 24^2 + 60^2

c^2 = 576 + 3600

c^2 = 4176

c = 64.47214

So the length of the hypotenuse, or the length of the pond, is approximately 64.47214 cm.

(3 × 4) + (3 × 7) = 12 + 21 = 33

7(60 + 6) = 7(66) = 462

4(100 − 3) = 4(97) = 388

(5 × 9) − (5 × 6) = 45 − 30 = 15

So, the correct input-output pairs are:

(3 × 4) + (3 × 7) = 33

7(60 + 6) = 462

4(100 − 3) = 388

(5 × 9) − (5 × 6) = 15

Answer: 33,462,48,388, and 15

Step-by-step explanation:

Answer:

9/12 or simplified as 3/4

Step-by-step explanation:

We are given 3 fractions that we have to add because the question says "What fraction of the can did she use in all?​"

First: Write down [tex]\frac{1}{3} + \frac{1}{4} +\frac{1}{6}[/tex]

Then: We can't just add up all these fractions, we need a LCM. The LCM (Least Common Multiple) We need all the denominators (3, 4, and 6) to be the same. To do that we need to find a number that they can multiply to get. Let's find out all the multiples of each number: (just write the first 5 down because most of the time we can find it easily from this list)

3: 3, 6, 9, 12, 15

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24, 30

After: just change all the fractions one at a time by whatever you multiply the bottom number to get 12, do it to the top:

[tex]\frac{1}{3} -- > \frac{4}{12}[/tex]

[tex]\frac{1}{4} -- > \frac{3}{12}[/tex]

[tex]\frac{1}{6} -- > \frac{2}{12}[/tex]

Finally we get to add everything up to get:

[tex]\frac{4}{12} +\frac{3}{12} +\frac{2}{12} =\frac{9}{12}[/tex]

(simplified as 3/4)

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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Answer:

f(x) and g(x) have the same y-intercept.

Answer:

The statement "when 7 is added to 3 times a certain number, the result is 22" can be written as an equation:

3x + 7 = 22

To solve for the unknown number (which we'll call "x"), we need to get x by itself on one side of the equation. We can do this by subtracting 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7

Simplifying the left side gives us:

3x = 15

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 15 / 3

= 5

So, the number that we were looking for is 5.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

"When 7 is added to 3 times a certain number, the result 22"

Write this sentence algebraically.

7 + 3x = 22

We need to try and get 3x by itself to find its value, so subtract 7 from both sides.

3x = 22-7 = 15

3x = 15

3x simply means 3 multiplied by x.

So:

x = 15/3 = 5

x=5

the "certain number" is 5.

To check:

7 + 3x5 should equal 22.

7 + 15 = 22.

Hope this helps.

The completed table is given as follows:

The greater rate is that of:

Michaela.

The difference for 40 hours of work is given as follows:

$100.

Marcus' graph is given by the image at the end of the answer.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

From the table, Marcus' hourly rate is given as follows:

k = 19/2 = 9.50.

Hence the proportional relationship is:

y = 9.5x.

Which is graphed at the end of the answer.

The table is completed as follows:

From the graph, Michaela's hourly rate is given as follows:

120/10 = $12.

Which is greater than Marcus'.

The hourly difference is given as follows:

12 - 9.5 = 2.5.

Hence the difference for 40 hours is given as follows:

40 x 2.5 = $100.

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Answer:

3.75

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Jefferson plus 3 of his friends = 4 people

Each person needs 1.25 containers, so the total clay needed:

4 x 1.25 = 5 containers

Answer:

[tex]s=\sqrt[3]{V}[/tex]

Step-by-step explanation:

This is a problem in which we can utilize equation rules to solve for s. In order to isolate s, we need to remove that power of 3. To do that, we can take the cubed root of V. Thus, the answer is

[tex]s=\sqrt[3]{V}[/tex]

Answer: A

Step-by-step explanation: I took the test

The point on the number line which represents the approximate volume of the cone is 38.

A cone is a figure in three dimensional geometry for which it has a circular base and the plane formed by set of all the points on the base connected to a point called vertex which is not located on the base.

Volume of a cone = [tex]\frac{1}{3}[/tex] π r² h, where r is the radius, h is the height of the cone and π is the pi constant with value 3.14.

Here, r = 3 units and h = 4 units.

Volume =  [tex]\frac{1}{3}[/tex] π r² h

             =  [tex]\frac{1}{3}[/tex] × 3.14 × 3² × 4

             = 37.68 unit³

             ≈ 38 units³

Hence the point 38 on the number line represents the approximate volume of the cone.

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Answer:

38-- the dot close to 40

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

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The area of the parallelogram is 12 square units.

A parallelogram is a quadrilateral having opposing sides that are parallel, as its name indicates. As a result of this definition, the following properties of parallelograms are true: opposing sides and opposite angles are congruent, and two consecutive angles are supplementary.

A parallelogram's area is the area that it occupies in a two-dimensional plane.

A parallelogram is a special form of quadrilateral with two opposing sides that are parallel to one another. A parallelogram's opposing sides and angles are the same size and length.

Area = b × h Square units (Where “b” is the base and “h” is the height of the parallelogram)

Given that,

b = 4

h = 3

So. area = 3*4= 12 square units.

Thus, the area of the parallelogram is 12 square units.

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The range of the relation plotted in the graph is {-2, 0, 1, 3}.

Range is a statistical measure of dispersion in mathematics, or how widely spaced a given data collection is from smallest to largest.

Given, A relation plotted on the graph in that there are four points whose coordinates are (0, -2), (3, 0), (-1, 1), and (1, 3)

Since The y-axis on a graph represents the possible output values, or range. Remember that the domain and range of the graph may be larger than the values seen if the graph extends beyond the area that is visible.

Therefore, The graphed relation's range is between -2, 0, 1, and 3.

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The determinant of the matrix 3PQ is given as follows:

9630.

The matrix P for this problem is defined as follows:

P = [9 -3]

     [2 4]

The matrix Q for this problem is defined as follows:

Q = [3  -2]

      [4  6]

To multiply matrices, the rows of the first are multiplied by the columns of the second, hence:

Hence the matrix PQ is given as follows:

PQ = [15 -35]

        [22 20].

Multiplying by the constant, the matrix 3PQ is given as follows:

3PQ = [45  -105]

          [66     60]

Hence the determinant is given as follows:

45 x 60 - (-105) x 66 = 9630.

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The incorrect statement is that a large sample drawn from the population will guarantee accurate results. So, correct answer is option (I).

Population: It Contains all elements of a dataset, and measurable properties of the population such as mean and standard deviation are called parameters. For example, "Everyone in India" refers to India's population.

Sample: It Contains one or more observations drawn from a population, the measurable property of the sample is a statistic. Sampling is the process of selecting samples from a population. For example, some people living in India are a sample of the population. A sample statistic (or just a statistic) is defined as any number calculated from sample data. Examples include sample mean, median, sample standard deviation, and percentile. From the above discussion it is clear that sample is subset of population set and statistic and poplution are related terms of sample and poplution respectively. So, all the statements are correct except statement (I).

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Complete question:

Which of the following statement is INCORRECT? I) A large sample drawn from the population will guarantee accurate results.

II) A sample is a subset drawn from a population of interest.

III) A statistic is a number calculated based on a sample.

IV) A parameter is an unknown quantity about a population.

|x - 30| = 10 is the correct equation for calculating Jack's maximum and minimum time to fold his laundry. he correct option is D.

The problem statement says that Jack's time can vary from the average of 30 minutes by 10 minutes. This means that the maximum and minimum time will be 30 minutes plus or minus 10 minutes, or 40 minutes and 20 minutes, respectively. We can represent these values using the variable x.

The maximum time will be represented by x + 10 and the minimum time will be represented by x - 10. We can use the absolute value function to represent the difference between these two values and the average time of 30 minutes.

The absolute value function is represented as |x|. The absolute value of x is the distance between x and 0 on a number line. For example, the absolute value of -5 is 5, because the distance between -5 and 0 on a number line is 5 units.

Using the absolute value function, we can represent the difference between the maximum and minimum times and the average time of 30 minutes as follows:

|x + 10 - 30| = |x - 30| = 10

|x - 20| = 10

|x - 30| = 10

Therefore, the correct equation is |x - 30| = 10.

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Edward drives 160.9 kilometres per month

Edward drives 12,000 miles per year

There are 12 months in a year, this means that Edward travels 12,000 miles in 12 month

The number of kilometres travelled per month can be calculated as follows

12,000= 12

x= 1

cross multiply both sides

x= 12,000/12

x= 100

The next step is to convert 100 miles to kilometres

100 × 1.609

= 160.9 kilometres

Hence Edward travelled 160.9 kilometres per month

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Answer:4.9

Step-by-step explanation:

if a=2√5/2 it means it is equal to 2.23

So (2.23×2)/2+1/(2.23×2)

it means a2+1/a2=(2.23×2)/2+1/(2.23×2)= 2.23+0.22=4.9

The entry to replenish the petty cash fund will include:.

Receipts = $383

Cash short of = $5

To replenish the petty cash fund , we need $387.

A fund is a pool of money that is allocated for a specific purpose. A fund can be established for many different purposes: a city government setting aside money to build a new civic center, a college setting aside money to award a scholarship or an insurance company that sets aside money to pay its customers’ claims. Individuals, businesses, and governments all use funds to set aside money. Individuals might establish an emergency fund—also called a rainy-day fund—to pay for unforeseen expenses or a trust fund to set aside money for a specific person.

Total Receipts and Coin = Coins in Cash Fund + Currency Plus in Receipts  = $62 + $383

= $445

Shortage of Petty Cash Account

= $445 - $450

= - $5

For recording this we debited the petty cash receipts as it increased the assets and credited the cash as it decreased the assets and the balancing is transferred to cash short and over

Thus, The entry to replenish the petty cash fund will include:.

Receipts = $383

Cash short of = $5

To replenish the petty cash fund, we need $387.

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The difference between 1.6 * 10⁸ and 8.2 * 10⁷ is 7.8 * 10⁷. This is written in scientific notation.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5* 10⁸  in scientific notation.

Given two numbers 1.6 * 10⁸ and 8.2 * 10⁷

or we can write them as 16 * 10⁷ and 8.2 * 10⁷

Difference between these two numbers=  16 * 10⁷ - 8.2 * 10⁷

Difference between these two numbers=7.8 *10⁷

Therefore, 7.8 * 10⁷ is the difference between 1.6 * 10⁸ and 8.2 * 10⁷. This is presented in notation used in science.

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Using the zero product, the solutions to the equation x² + x - 30 = 12 are  A. x=-7 or x=6

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

x^2 + x - 30 = 12

Express the exponent as a proper superscript

So, we have the following representation

x² + x - 30 = 12

Subtract 12 from both sides

This gives

x² + x - 42 = 0

Expand

x² + 7x -6x - 42 = 0

When the equation is factored, we have

(x +_7)(x - 6) = 0

Solve for x

x = -7 and x = 6

Hence, the solutions are x = -7 and x = 6

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