A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 27500
kilograms. Other shipments weighing 14300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 120-kilogram crates that can be loaded into the shipping container.

Answer:

THE SLOPE IS 16

Answer: The slope is 16/1 which is just 16.

Step-by-step explanation:                                                                                                              

Answer: x = 34

Step-by-step explanation:

Add 19 and 15 in your head. 9 + 5 = 14. Now, add 10 + 10 + 14. This gives 34.

Answer:

1. 280

2. 4140

Step-by-step explanation:

The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

The simple interest earned can be calculated by using this formula

A = P(1 + rt)

A is the future value.

P is the principal value.

r is the interest rate.

t is the time.

Now Substituting the values into the formula, we have,

A = 16,000[1 + (0.08 × 3)]

A = 16,000[1 + 0.24]

A = 16,000× 1.24

Future value, A = $19,840.

Following that, we will compute the monthly payment over a 36-month period as follows:

Monthly payment = Future value/Time

Monthly payment = 19,840/36

Monthly payment = $551.11

Similarly, we will compute the credit card's compound interest:

A = 16000[1 + (0.15/12)]⁽¹² ˣ ⁷⁾

A = 16000[1 + 0.025]⁸⁴

A = 16000× 1.025⁸⁴

A = 9000 × 3.49258954

Future value, A = $45425.80

Following that, we will compute the monthly payment over an 84-month period as follows;

Monthly payment = Future value/Time

Monthly payment = 45425.80/84

Monthly payment = $540.78.

Thus, the monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

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Answer:

Angles I and E are congruent

Step-by-step explanation:

Remember, you can split the kite in half and see it for yourself

Answer: 9-11 = -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

11 - 9 = 2

2 -----> -2

OR

9 - 11 = -2

Solution to the inequality is V < 0.6

In mathematics, inequality  is the relationship between two values that are not equal

Add 1.4 to both sides of equation -2 > v - 1.4

-2+1.4 > v -1.4 +1.4

- 0.6 > v

Move the variable to the left and flip the inequality because of the negative

V < 0.6

Therefore, the solution for the inequality is V < 0.6

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For, Janice and Oliver have the same number of marbles, it will take 8 weeks.

A term in an algebraic expression that is referred to as a linear expression is either a constant or a variable raised to the first power. Or, to put it another way, none of the exponents can be higher than 1.

Positive or negative numbers can be used as coefficients in linear equations. It matters what the exponent is. When one variable in the equation is raised to a power greater than 1, the entire equation becomes nonlinear.

Given,

Oliver presently has 10 marbles and is collecting 5 per week, whereas Janice currently has 26 marbles and is adding 3 each week.

Let x be the number of weeks.

This implies,

Algebraic equation,

26 + 3x = 10 + 5x

26 - 10 = 5x - 3x

16 = 2x

x = 16/2

x = 8

So that Janice and Oliver have the same number of marbles, it will take 8 weeks.

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Currently, Zoe's age is nine years old

From the question, we have the following mathematical statements:

The above means that:

x = y - 2

x² + 4y =  125

Where x represents Zoe's and y represents Keilantra

Make y the subject in x = y - 2

y = x + 2

So, we have

x² + 4(x + 2_ =  125

Expand

x² + 4x+ 8 =  125

Evaluate

x² + 4x - 117 = 0

Using a graphing calculator, we have

x = 9

Recall that:

x represents Zoe's

Hence, Zoe;s age is 9

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Answer:The equation of the solution 4x + 5y = 22 and 2x + 3y = 12 will be (3, 2).

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x + 5y = 22   …1

2x + 3y = 12    …2

The degree of the equation is one, then the equations will be the linear equation.

Multiply the equation 2 by 2, then subtract the equation 1 from 2. Then the equation will be

 4x + 6y = 24

–4x – 5y = –22

6x -  5y = 24 – 22

Then simplify the equation, then the equation will be

y = 2

Substitute the value of y in equation 1, then the value of x will be

4x + 5(2) = 22

 4x + 10 = 22

        4x = 22 – 10

        4x = 12

          x = 12 / 4

          x = 3

Then the equation of the solution will be (3, 2).

Step-by-step explanation:

The interest earned at the end of the period by Jones is $5600.

It should be noted that the simple interest is calculated as:

= Principal × Rate × Time

In this case, Jones deposited $40,000 in a bond and earned simple interest at 7% annually for two year

The interest will be:

= Principal × Rate × Time

= $40000 × 7% × 2

= $40000 × 0.07 × 2

= $5600

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Answer:

-5/6

Step-by-step explanation:

1. Label X1 AND Y1 and X2 AND Y2  (9(x1),5(x2))  (21(x2),-5(y2))

2.  Use this formula  [tex]\frac{y2-y1}{x2-x1}[/tex]=slope

3. Plug the numbers into the formula [tex]\frac{-5-5}{21-9}[/tex][tex]= - \frac{10}{12}[/tex]

4. Find the simplest form.

[tex]slope= - \frac{5}{6}[/tex]

Answer:

12 eggs

Step-by-step explanation:

divide 132 by 11. hope this helped :)

Answer:

12 eggs per minute

Step-by-step explanation:

To find the unit rate, take the number of eggs and divide by the number of minutes

132eggs / 11 minutes

12 eggs per minute

Coplanar, straight lines that just don't cross at any point are considered parallel lines in geometry. Parallel planes were also planes that never cross each other in the same three-dimensional space.

If two lines are in the same plane and never cross, they are said to be parallel. They are equidistant lines, which means that their separation is constant. The symbol || is used to depict parallel lines. For instance, the symbol AB || CD denotes the parallelism of the line segments AB and CD. On the other hand, two straight lines are said to be perpendicular if they cross at a 90° angle.

A line has length but no breadth, making it a one-dimensional object. A line is made up of several points that continue indefinitely in opposing directions. His two points in a 2D plane serve as the basis for this. Collinear points are two points that are located on the same line.

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Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

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These are the numbers that can be generated which are 3, 5, 4, 1/4, -11, 20, -8, 64, 1/2, etc.

What is arithematic operartions?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

signs + , − , × , ÷ , ( , )

the digits 4 4 4

By putting suitable signs + , − , × , ÷ , ( , ) in-between the digits 4 4 4

4 − (4 ÷ 4) = 3.

4 + (4 ÷ 4) = 5.

4 × (4 ÷ 4) = 4.

4 ÷ (4 × 4) = 1/4.

4 - (4 × 4) = -11.

4 + (4 × 4) = 20.

4 - (4 + 4) = -8.

4 × (4 + 4) = 64.

4 ÷ (4 + 4) = 1/2.

Hence, these are the numbers that can be generated which are 3, 5, 4, 1/4, -11, 20, -8, 64, 1/2, etc.

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Answer:

33.4%

Step-by-step explanation:

60+33.4%=80

60x1.334=80

Answer:

Step-by-step explanation:

The sum of all positive integers such that their expression in base 7 digits is the reverse of their expression in base 16 digits is 58.

Natural numbers are numbers used in mathematics for counting (as in "there are six coins on the table") and ranking (as in "this is the third largest city in the country"). Cardinal numbers are used for counting, and ordinal numbers are used for ordering. Natural numbers, which have no mathematical features, are sometimes employed as labels.

When the number is a 1 digit number (1 digit number in base 7)- the numerals 0, 1, 2, 3, 4, 5, and 6

When the number is a 2 digit number=a×7+b=b×16+a / subtract (a+b) a×6=15×b / divide by 3 2a=5b indicating an is divisible by 5 meaning a=5 (since if a=0 then b=0 and the phrase ab is not defined because the digit that indicates the highest number in a given number cannot be 0) meaning b=2. So there is just one two-digit number=52 (in base 7)=37. (in base 10).

When the number is three digits, subtract (a+c+7b) 48a=255c+9b / divide by three 16a=85c+3b. c cannot be 0 because this indicates that the expression cba is not defined.

If c=1, 16a=85+3b

There are no answers to that problem. If c>1, this suggests that 16a=85c+3b>=170, implying that a>6. This, however, is not possible! As a result, there is no solution.

As a result, the sum of all positive integers is 58.

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Answer:

it is made of 1400ml of soda

Step-by-step explanation:

The proportional relationships for each case are described as follows:

I. Direct proportional relationship.

II. Inverse proportional relationship.

III. Direct proportional relationship.

There are two ways to classify proportional relationships, and these two ways are listed as follows:

These two classifications are described as follows:

Then the only inverse proportional relationship is given by item ii, where it is said that the time decreases and the number of workers increases.

Three relationships are described below: I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of time needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship?

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The account will reach $5500 after approximately 33.3 years have passed.

The simple interest formula is I = P x r x t, where I is the interest earned, P is the principal (the initial amount of money deposited), r is the annual interest rate, and t is the time in years.

You can rearrange this formula to solve for t: t = I / (P x r).

In this case, I = $500 (the difference between the final balance and the initial balance), P = $5000 (the initial amount deposited), and r = 0.3% (the annual interest rate).

Plugging these values into the formula, we get:

t = $500 / ($5000 x 0.3%)

t = $500 / ($5000 x 0.003)

t = $500 / $15

t = 33.333...

To the nearest tenth of a year, it will take approximately 33.3 years for the account to reach $5500.

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The percentage error of Bob’s measurement to the nearest tenth of a percent is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percentage error=((Exprimental value-Actual value)/(Actual value))∙100

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Thus,

       We got percentage error of 3.87% in measurement

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Answer:

d=8

t=9

Step-by-step explanation:

2.75x8=$22

2x9=$18

22+18=40

d=8

t=9

Answer:

2.75d+2t <= 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the series,  2, 8, 18, 32, 50,...

By observation and by trial and error.

The first term, n = 1    = 2*1*1 = 2

Second term, n =2,     = 2*2*2 = 8

Third, n =3,                = 2*3*3 = 18

Third term, n = 4,       = 2*4*4 = 32

Fourth term, n =5,     2 * 5* 5 = 50

For nth term,        2 *n *n = 2n²

Therefore nth term =  2n²

I hope this helps.

The same circle's radii. parallelogram, rectangle, square, and rhombus opposite sides, sides of a triangle with equal sides.

What is congruent segments?

Segments of the same length are said to be congruent. Collinear points are those that share a line. A mathematical assertion that can be validated is known as a theorem. A point that divides a segment into two congruent segments is the segment's midpoint.

Congruent line segments are geometrical figures in one dimension with identical dimensions. In terms of congruent lines, the word "congruent" refers to the equality of the two line segments.

When two lines are the same length, they are said to be congruent. Superimposable figures that entirely enclose each other when stacked one atop the other are congruent segments.

The congruent segments continue to be congruent even after being turned, flipped, or rotated. Congruence between any two congruent line segments is represented by the symbol.

Look at the illustration below that shows congruent line segments:

Here, the double vertical bars on each line segment, PQ and XY, represent their equality, resulting in the line segment PQ ≅ XY.

We shall examine the congruent line segments' qualities in order to learn more about them. Congruent lines in geometry possess the following characteristics:

(i) Reflexive

(ii) Symmetric

(iii) Transitive

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The velocity of the baseball at 3.1 seconds into the flight is 7.84m/s.

What is velocity?

Velocity simply implies the speed and the direction at which an object is moving.

Since Harold throws a baseball up at 24.3m/s and he takes a photo at 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The baseball's speed is 7.84 m/s at 3.1 seconds into its flight.

What is velocity?

Simple definition: Velocity denotes the movement of an object's speed and direction.

Since Harold launches a baseball at a speed of 24.3 meters per second and snaps a picture 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The value of A is 32.

The value of B is 28.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A : 6 : 7 = 8 : 24 : B

This means,

6 units = 2432

1 units = 24/6

1 units = 4

Now,

The value of A.

A = 8 units

1 unit = 4

8 units = 8 x 4 = 32

The value of B.

B = 7 units

1 unit = 4

7 units = 7 x 4 = 28

Thus,

A = 32

B = 28

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The graph of y-2=-3(x-1) is shown in the figure below;

Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, needs some skill and some mathematical concepts to understand.

Given;

y-2= -3(x-1)

When x=0

y-2= -3(0-1)

y-2=0

y=0

When y=0

0-2= -3(x-1)

x=1.667

Hence, the graph of these coordinates is as follows;

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