DIG DEEPER There is a total of 4,752 passengers on 3 subway
trains. Each subway train has 8 cars. The number of
passengers in each car is the same. How many
passengers are in each car?

The inequality form of the statement is: |4x - 2| ≤ 2. And the lowest value of x that makes this inequality true is x = -1.

To solve for the lowest value of x that makes this inequality true, we need to consider two cases:

If 4x - 2 ≥ 0, then |4x - 2| = 4x - 2, so the equation becomes:

4x - 2 ≤ 2

Adding 2 to both sides, we get:

4x ≤ 4

Dividing both sides by 4, we get:

x ≤ 1

If 4x - 2 < 0, then |4x - 2| = -(4x - 2), so the equation becomes:

-(4x - 2) ≤ 2

Adding 2 to both sides, we get:

-4x + 4 ≤ 4

Dividing both sides by -4, we get:

x ≥ -1

So, the solution to the inequality is -1 ≤ x ≤ 1. This means that any value of x that lies between -1 and 1, inclusive, satisfies the inequality.

So, the lowest value of x that makes this inequality true is x = -1.

"

Complete question

The absolute value of the difference between 4x and 2 is less than or equal to 2.

Write the statement as an inequality, then solve for the lowest value of  x that makes this inequality true. Lowest  value _____

"

You can learn more about absolute value at

https://brainly.com/question/24368848

#SPJ4

The minimum number of pears that each must pack is x = 12 pears.

We can start by using algebra to represent the problem.

Let x be the number of pears that Kendrick and Nick must pack.

We know that the total number of pear that Kendrick packs is 8 pear per crate * the number of crates he packs = 8x. Similarly, the total number of pears that Nick packs is 4 pears per crate * the number of crates he packs = 4x.

Therefore, the total number of pears that Kendrick and Nick must pack is 8x + 4x = 12x. We are given that they must pack the same total number of pears, so we can set this equal to x. Therefore, we have:

12x = x

So the minimum number of pears that each must pack is x = 12 pears. This means that Kendrick must pack 12 pears in 8 crates and Nick must pack 12 pears in 4 crates.

It could be also represented as:

Kendrick: 8 pear/crate * C crates = 12 pear

Nick: 4 pear/crate * C crates = 12 pear

Read more about Algebraic expression:

https://brainly.com/question/4344214

#SPJ4

Answer:

11 students studied history

21 students studied French

8 students studied both

Step-by-step explanation:

first you have to subtract the number of students who studied both classes.

40-8=32

this leaves you with 32 students to study either history or French.

we know 10 more students studied French than history so subtract that from the 32 students because we already know where they go.

32-10=22

we're left with 22 students that can be equally split between the 2 classes.

22/2=11

so there are 11 more students in each history and French.

but don't forget to add the 10 more students that we already knew were in the French class.

11+10=21

The total problems assigned over the weekend are 15.

In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

Let us suppose the total number of problems assigned = x.

Given that the problems solved on Saturday is 3/5 of her total questions. This is represented as:

(3/5) x

The remaining problems are:

1 - (3/5) x = (2/5) x

On, Sunday the problems solved are 1/3 of the remaining. This is represented as:

(1/3) (2/5) x

(2/15) x

The remaining problems are:

(1 - 1/3)(2/5 x) = (2/3) * (2/5) x = 4/15 x

Given that the final number of problems remaining are 4, that is:

(4/15) x = 4

x = 4 (15/4)

x = 15

Hence, the total problems assigned over the weekend are 15.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ1

Answer:

Yes

Step-by-step explanation:

y = 110 + 32x

Let x = each value in the table and calculate the corresponding value of y.

You get the following.

x = 0; y = 110

x = 2; y = 174

x = 4; y = 238

x = 6; y = 302

x = 8l y = 366

Since every value from evaluating the function gives the same value as the table, then the answer is yes, the table and the equation represent the same function.

Miles per hour and meters per second are formally known as mph and m/s, respectively.

Kilometers per hour 28 km/h

Miles per hour 62.6342  

Let's first review the metric conversions for a mile and an hour. Speed is the distance traveled in a given amount of time.

Miles per hour and meters per second are formally known as mph and m/s, respectively. If so, converting mph to m/s will be simple. We are cognizant of:

A mile is equal to 1.60934 kilometers or 1609.34 meters.

3600 seconds make up 1 hour, which is equal to 60 minutes, 60 minutes, and 60 seconds.

With the help of these conversions, let's create the mph to m/s formula.

mph to m/s Formula

1 mph = 1 mile per hour

=1 mile / 1 hour

=1609.34 meters/3600 seconds

0.447 meter / seconds

=0.447 m/s

So, multiplying by 0.447 is required to change mph to m/s.

To Learn more About  mph and m/s, Refer To:

https://brainly.com/question/24739297

#SPJ1

Answer:

$633.36

Step-by-step explanation:

10 2/5 % = 10.4% = 0.104

10 2/5 % of $6090 = 0.104 × $6090 = $633.36

The coordinate plane's formula is (x, y), where x denotes the x-axis and y denotes the y-axis.

A linear equation is a two-variable equation with a line as the graph.

A collection of points in the coordinate plane that are all solutions to the equation make up the graph of the linear equation.

If every variable has a real value, the equation can be graphed by placing enough points on the graph to identify a pattern, then connecting those points to include all of the points.

A linear equation must have at least two points in order to be graphed, however it's usually a good idea to utilize more.

Try to include zero as well as both positive and negative numbers when selecting your points.

The term "x-intercept" refers to the point where the graph crosses the x-axis, and the term "y-intercept" refers to the point where the graph crosses the y-axis.

To know more about the Coordinate plane visit:

https://brainly.com/question/14462788

#SPJ4

r = annual interest rate

F = final value (amount owed including interest)

P = principal (initial amount borrowed)

n = number of years the loan is taken out for

Plugging in the given values:

r = (1300 - 1200) / 1200 * 2

r = 0.15 or 15%

This formula also gives the same result, that the annual simple interest rate on Zhen's loan is 15%.

99.9% of the population is within 4 standard deviations of the mean.

In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.

Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.

The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.

To learn more about Standard deviation visit here:

brainly.com/question/23907081

#SPJ4

Answer:

he should do nothing because he is just a passenger.

Answer:

A = 28.8cm²

Step-by-step explanation:

multiply 9.6 by 6.0

= 57.6

divide 57.6 by 2

= 28.8

The graph transformations are discussed below.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

Given is the transformation of a graph.

A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformations:

Transformation                Function                  Changes in Position/Size

Translation                 moves the curve                     Change in position

Dilation                Stretches or shrinks the curve     Change in the size

Reflection                   Flips the curve                      Change in position

                           and produces the mirror image.

Therefore, the graph transformations are discussed above.

To solve more questions on graph transformations , visit the link below-

brainly.com/question/1041084

#SPJ1

The hip breadth of 95% of all male is 16.2 inches, which is greater than the mean of 14.8 inches with a standard deviation of 0.9 inches.

1. Calculate the Z-score for 95th percentile:

Z = (P95 - mean)/standard deviation

= (16.2 - 14.8)/0.9

= 2.44

2. Look up the Z-score in a Z-table to find the corresponding percentile:

95th percentile = 2.44

The hip breadth of 95% of all male can be calculated using the normal distribution. First, we must find the Z-score for the 95th percentile, which is calculated by subtracting the mean (14.8 inches) from the desired percentile (16.2 inches) and dividing by the standard deviation (0.9 inches). This gives us a Z-score of 2.44. We can then look this up in a Z-table to find the corresponding percentile, which is 95th percentile. Therefore, the hip breadth of 95% of all male is 16.2 inches.

Learn more about standard deviation here

https://brainly.com/question/13905583

#SPJ4

From 8 apples and 5 peaches, the probability for the first apple then peach fruit is 40/156.

What is probability?

Probability is defined as a number between zero to one for the analysis of random phenomena.

Given that there are 8 apples and 5 peaches in a basket.

Total Fruits = 13

For the first event, the probability of getting an apple is,

p1=8/13

Now, Total Fruits = 12

For the second event, the probability of getting peach is,

p2=5/12

The probability for both events is given below.

p=p1*p2 = (8/13)*(5/12) = 40/156

Hence we can conclude that the probability for the first apple then peach fruit is 40/156.

To know more about the probability, follow the link given below.

brainly.com/question/795909.

#SPJ1

Answer:

The 1 in the hundredths place is ten times bigger in value than the 1 in the thousandths place. They are also both behind the decimals.

Step-by-step explanation:

1/100 = 1/1000 x 10

The roots of the quadratic equation 9 x 2 - 3 k x + k = 0 are equivalent. As a result, the needed values of k are 0 and 4.

Any equation featuring one condition that involves the unknown is cubed and no term in which it has been increased to a greater number is a quadratic equation.

This has the equation ax2 + bx + c = 0, where a = 9, b = -3k, and c = k.

If D=0, the solution will be implemented and will have real and equivalent roots.

Most typically, the quadratic equation is represented as ax2 + bx + c = 0. The coefficients are the recognized numbers a, b, and c, while x represents the undetermined.

Quadratic equations must be employed whether directly or indirectly in any field where speed, area, or profit must be calculated.

To know more about Quadratic equations visit:

https://brainly.com/question/30098550

#SPJ4

The cost of each cup of coffee at a kiosk is $ 4.

Let the cost of each cup of coffee is $ x.

A person buys 5 cup of coffee at a kiosk in the mall.

This question is related to unitary method problems.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Then, the cost of 5 cup of coffee is 5x.

Given that bill is under $20.

So the cost of 5 cup of coffee will be $20.

5x=20

x=20/5

x=4

Therefore,  the cost of each cup of coffee is $4.

To learn more about unitary method visit: https://brainly.com/question/23423168

#SPJ4

Answer:

5%

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I = Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the simple interest formula and solve for r:

[tex]\implies 500=5000 \cdot r \cdot 2[/tex]

[tex]\implies 500=10000r[/tex]

[tex]\implies r=\dfrac{500}{10000}[/tex]

[tex]\implies r=0.05[/tex]

[tex]\implies r=5\%[/tex]

Therefore, the interest rate is 5%.

Answer:

Interest rate = 5% (or) 0.05

Step-by-step explanation:

Now we have to,

→ find the required interest rate.

Formula we use,

→ I = P × R × T

→ PRT = I

→ R = I/PT

Then the interest rate will be,

→ R = I/PT

→ R = $500 ÷ ($5000 × 2 years)

→ R = 500/(5000 × 2)

→ R = 500/10000

→ R = 0.05 × (100)

→ [ R = 5% ]

Hence, the interest rate is 5%.

It is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles.

What is Pythagorean theorem?

The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This is the basis for the Pythagorean identities, which relate the sine, cosine, and tangent of an angle to the ratios of the sides of a right triangle.

In a right triangle, one angle is a right angle (90 degrees) and the side opposite the right angle is called the hypotenuse. It is the longest side of the triangle and is always opposite the right angle. The other two sides are called the legs of the triangle, and are referred to as the opposite side and the adjacent side.

The reason that one side is equal to all angles while the other two sides are not, is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles. In a right triangle, the hypotenuse is opposite the right angle and has a unique relationship with the legs, which are the opposite and adjacent sides. This is the foundation of the theorem and identities.

Learn more about the reason for not equal other two sides of angle at https://brainly.com/question/30339237

#SPJ4

It is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles.

What is Pythagorean theorem?

The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This is the basis for the Pythagorean identities, which relate the sine, cosine, and tangent of an angle to the ratios of the sides of a right triangle.

In a right triangle, one angle is a right angle (90 degrees) and the side opposite the right angle is called the hypotenuse. It is the longest side of the triangle and is always opposite the right angle. The other two sides are called the legs of the triangle, and are referred to as the opposite side and the adjacent side.

The reason that one side is equal to all angles while the other two sides are not, is because the Pythagorean theorem and the Pythagorean identities are based on the properties of right triangles. In a right triangle, the hypotenuse is opposite the right angle and has a unique relationship with the legs, which are the opposite and adjacent sides. This is the foundation of the theorem and identities.

Learn more about Pythagorean theorem:

brainly.com/question/14930619

#SPJ4

Answer:

yes it is in simpleat form

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

The solution is: (-1,4)

Step-by-step explanation:

I used an online graph but you can replicate it onto paper

Purple is Y=-x+3

Black is Y=x+5

There are four types of division are:

Now, According to the question:

Division is one of the four basic math operations with addition, subtraction, and multiplication. Division is an important operation because it is common in everyday life and helps people understand multiplication better. Division is splitting a group into equal parts. Division is used to split up a class into equal groups for a game or activity or even split a pizza into equal portions between a group of friends.

Dividend: The dividend is the number that is being divided in the division process. Divisor: The number by which the dividend is being divided by is called the divisor. Quotient: The quotient is a result obtained in the division process. Remainder: Sometimes, we cannot divide things exactly.

Learn more about Division at:

https://brainly.com/question/2273245

#SPJ4

The fastest way to find the distance between two points in a plane is to use the distance formula.

The distance formula is a mathematical expression that gives the distance between two points in a plane, given their coordinates. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and d is the distance between them.

This formula uses the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

To know more on distance formula

https://brainly.com/question/28956738

#SPJ4

The area of the front side of the fifty-cent piece is 48.06 mm².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, The front side of a circular area fifty-cent piece has a diameter of 30.61 mm.

We know, Radius is half of the diameter which is, (30.61/2) mm.

= 15.305 mm.

We also know the area of a circle is πr².

Therefore, The area of the front side of the fifty-cent piece is,

= π(15.305)² mm².

= 48.0577 mm².

= 48.06 mm².

learn more about circles here :

https://brainly.com/question/29142813

#SPJ1

To find the radius of the circular area, the organizers must divide 50,000 by pi and then multiply by 5. The result of this calculation is the amount of area needed, which can then be divided by pi to find the radius of the circular region, rounding to the nearest foot.

To find the radius of the circular area, the organizers should first calculate the amount of area needed to accommodate each person in the field. This is done by dividing the total number of people (50,000) by pi and then multiplying by 5, which represents the 5 square feet of space allotted to each person. The result of this calculation is the amount of area needed to fit all 50,000 people. Next, the organizers should divide this area by pi to calculate the radius of the circular region. Finally, they should round the result to the nearest foot. This will give them the radius of the circular area that is needed to fit all 50,000 people in the field.

Learn more about radius here

https://brainly.com/question/15047456

#SPJ4

Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.

The answer to a polynomial equation with polynomial coefficients is a function, and that function is an algebraic function.

Linear, quadratic, cubic, polynomial, rational, and radical algebraic functions are some examples of the several types of algebraic functions.

The range of the function f(x) = x2 is higher than or equal to zero, and the domain of the function is the set of all real numbers (x can be anything).

A function that represents an upward-facing parabola is f(x) = x2.

Its range from - to - is its domain.

Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.

To learn more about polynomial equation refer

brainly.com/question/28947270

#SPJ1

Explore all similar answers