These base-10 blocks model 68.

Which answer shows how to correctly rearrange the blocks to find the quotient 68 ÷ 7?

The compound inequality is x<-4 and x<2.

What is a compound inequality?

A compound inequality in mathematics is a clause that joins two claims with the conjunction "and" or "or." Both of the statements in a compound sentence are true simultaneously if the conjunction "and" is used to connect the statements. If "or" is used to connect the statements, the compound phrase is true if at least one of the statements is true.

We are given that -4 is greater than x

This means that  -4>x

Also, it is given that x is less than 2

Therefore, x<2

Hence, the compound inequality is x<-4 and x<2.

Learn more about compound inequality from the given link

https://brainly.com/question/28597739

#SPJ1

To prove that YEAR is a square, we need to show that all four sides have the same length and all four angles are right angles (90 degrees).

Side Lengths: To find the lengths of the sides, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

For example, to find the length of the side that connects Y and E, we can use the following calculation:

d = √((3 - 1)² + (0 - (-4))²) = √((2)² + (4)²) = √(4 + 16) = √20

We can use the same formula to calculate the lengths of the other sides. By doing so, we will find that the length of all four sides are the same, which is √20. This means that all four sides of YEAR are congruent, and therefore it is a square.

The sum of the two consecutive numbers is 31.

Let the two consecutive number are n and n+1.

Given the difference between square of two consecutive Numbers is 31.

Then, two consecutive number = n, n+1 = 15, 16

Therefore

( A ): the sum of two consecutive number = 15 + 16 = 31

( B ): Their difference = 16 – 15 = 1

( C ): Subtract their sum by 8 = 31 – 8 = 23

To learn more about consecutive numbers visit: https://brainly.com/question/29775116

#SPJ4

The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414. This value is widely used in mathematics.

Well, the basic answer is that the value of root 2 (i.e., 2) is 1.412. We must first understand the concepts of power and roots in order to comprehend what root 2 (2) is and how to calculate its value. √2 = 1.414

You may determine the values of non-perfect square values like root 3, root 5, etc. using the long division method.

The square root or root of a number "n" is a number that, when multiplied by itself, has the value "n". For instance, the square root of 4 is equal to 2. thus 2 + 2 Equals 4. The opposite of squaring a number is finding the square root of that integer. 

To learn more about value of 2√ 2 refer to  :

https://brainly.com/question/30096413

#SPJ1

Answer:

3x - 24

Step-by-step explanation:

24 less is the same as: - 24

3 times itself is: 3x

The length of the ladder, if it is resting against the wall at the height of 48 feet and it forms an angle of 53 degrees with the ground being 63.7 ft.

First, we need to draw a figure according to the conditions given in the question.

Now, let AC be the length of the ladder, AB is the length of the wall, and BC is the length of the ground, as shown in the figure.

As we know,

tan θ = perpendicular/hypotenuse

tan 53 = AC/AB

AC = tan 53 × AB

AC = 1.327 × 48

AC = 63.7 ft

To know more about length, here

https://brainly.com/question/30100801

#SPJ4

Answer:

25.60

Step-by-step explanation:

first divide 12%of a number with 75 Ans will be 6.25 then multiply with 4 Ans will be 25.60

Answer: 25

Step-by-step explanation:

12 divided by 4 = 3

75 divided by 3 = 25

25 = 4%

A right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.

The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

So, the parameters listed are:

69-degree angle.

Ladder length (l) equals 26 feet.

The following cosine ratio is used to compute the horizontal distance (h).

cos(θ) = h/l

Replace known values:

cos(69) = h/26

Make the topic "h":

h = 26 * cos(69)

Consider the product:

h = 9.3

Therefore, a right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.

Know more about right triangles here:

brainly.com/question/2437195

#SPJ1

The value of x is x > 2.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

The given expression is [tex]\frac{5}{6}[/tex]x - [tex]\frac{1}{3}[/tex] > 1 [tex]\frac{1}{3}[/tex]

We have to rewrite the expression with x on one side.

[tex]\frac{5}{6}[/tex]x - [tex]\frac{1}{3}[/tex] > 1 [tex]\frac{1}{3}[/tex]

[tex]\frac{5}{6}[/tex]x > 1 [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

[tex]\frac{5}{6}[/tex]x > [tex]\frac{4}{3}[/tex] + [tex]\frac{1}{3}[/tex]

[tex]\frac{5}{6}[/tex]x > [tex]\frac{5}{3}[/tex]

x > [tex]\frac{5}{3}[/tex] × [tex]\frac{6}{5}[/tex]

x > 2

So the value of x is greater than 2.

Hence the correct option is x > 2.

To learn more about Fractions, click :

https://brainly.com/question/10354322

#SPJ1

The total number of $12 tickets are 120 while the $15 tickets are 180.

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

Learn more about algebraic expression

https://brainly.com/question/953809

#SPJ1

The solution for given linear inequalities is (-0.5,4.25) from the given graph.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

As we know the solution for the lines which intersect at a certain point is that point or the coordinates of that point i.e. (-0.5,4.25).

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

The equivalent expression for the amount of sports drinks that pass inspection is 23x milliliters.

The inspector at a bottling plant checks 25 bottles, and two bottles do not pass inspection.

To find the amount of sports drinks in milliliters that pass inspection, we can subtract the amount in the two bottles that do not pass inspection from the total amount in all 25 bottles.

Let x be the amount of sports drinks in milliliters in each bottle.

The expression for the milliliters of sports drink that pass inspection is = 25x - 2x

Now, simplifying the expression, we get,

25x - 2x = (25-2)x = 23x

Hence, the equivalent expression for the amount of sports drinks that pass inspection is 23x milliliters.

Read more about expressions:

brainly.com/question/28036476

#SPJ4

The complete question is -

The inspector at a bottling plant checks 25 bottles. Two bottles do not pass inspection. All the bottles hold the same number of milliliters of sports drinks. Write an expression for the milliliters of sports drink that pass inspection. Then simplify it to create an equivalent expression.

The percentage of the aisles that are empty, given the number of aisles in total in the supermarket, is 50 %

To find the percentage of the aisles that are empty, you can use the formula :

= Number of aisles that are empty / Number of total aisles in the supermarket x 100 %

Number of aisles that are empty = 10 aisles

Number of total aisles in the supermarket = 20 aisles

The percentage of aisles empty is:

= 10 / 20 x 100 %

= 0. 5 x 100 %

= 50 %

Find out more on percentages at https://brainly.com/question/16617259

#SPJ1

Answer: Annie made a mistake in step 1 by plotting the point (1, -3) instead of (1, 0) which is the x-intercept of the given equation.

Step-by-step explanation:

She should have used the x-intercept of the equation instead of just any point.

To fix her mistake, Annie should find the x-intercept of the equation by setting y to 0, and solve for x. Then she can plot the point (1,0) and proceed with step 2 and 3.

Answer:

3 and 5

Step-by-step explanation:

A graph that represents the overall equation represented by this scenario is shown in the image attached below.

Based on the information provided about this company with respect to its same-day delivery and total number of miles to be covered, we would assign variables to the parameters as follows:

Next, we would translate the word problem into an algebraic equation by using an inequality:

Half the total number of miles = x/2.

y > x/2 - 3

Furthermore, we would determine the x- and y-intercepts as follows:

When x = 0, we have;

y = 0/2 - 3

y = -3.

Therefore, y-intercept = (0, -3).

For the x-intercept (y = 0), we have:

0 = x/2 - 3

x/2 = 3

x = 6.

Therefore, x-intercept = (6, 0).

Read more on y-intercept here: brainly.com/question/19576596

#SPJ1

The amounts of liters of gasoline that you need to drive from the first town to the second is given as follows:

1.5 liters.

The amount of gasoline needed is obtained using the proportions in the context of this problem.

The scale is given as follows:

1 inch = 25 km.

Meaning that each inch on the drawing represents an actual distance of 25 km, then the actual distance of the towns separated by 3 inches on the map is given as follows:

3 x 25 = 75 km.

A liter of gasoline lasts for 50 kilometers, hence the amount of liters of gasoline needed for 75 kilometers are given as follows:

75/50 = 1.5 liters.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The order from least to greatest is: A, B, C

The order of the sectors from least to greatest according to their areas is:

Sector A, Sector B, Sector C

To find the area of each sector, we need to multiply the central angle measure (in degrees) by the radius squared and divide by 360.

Sector A: 4 units * (1690 / 360) = 46 square units

Sector B: 6 units * (820 / 360) = 69 square units

Sector C: 9 units * (820 / 360) = 103.5 square units

Hence, the order from least to greatest is: A, B, C

To learn more about greatest here:

https://brainly.com/question/21564575

#SPJ4

1. These excerpts from the Code of Hammurabi identify crimes such as theft, assault, and damage to property.

2. Some of these crimes, such as theft and assault, are still considered crimes today. However, some of the punishments specified in the code, such as the punishment for a son striking his father, would not be considered appropriate today.

3. These excerpts from the Code of Hammurabi identify punishments such as fines, imprisonment, and physical punishment such as whipping or amputation.

4. Physical punishments such as whipping or amputation are no longer used in most modern legal systems.

5. Fines and imprisonment are still used as punishments today.

6. Based on these short excerpts from the code, it seems that Hammurabi defined justice as a system of strict punishment for crimes, with different punishments for different classes of people and different severity of crimes.

Our codes of law today show similarities to the Code of Hammurabi in that they both have a system of punishment for crimes. However, there are also many differences, such as the fact that our legal system is considered more fair and equal, and places a greater emphasis on rehabilitation and protecting the rights of the accused.

7. Today's view of justice has changed significantly from Hammurabi's in that it places a greater emphasis on protecting the rights of the accused, rehabilitation, and equality before the law. This change can be attributed to a number of factors, including the development of democratic societies, the influence of human rights movements, and the advancement of legal scholarship and philosophy.

The 282 rules that make up the Hammurabi code of laws established norms for business dealings and established fines and penalties to satisfy the demands of justice.

A large, finger-shaped black stone stele with Hammurabi's Code carved on it was looted by invaders and only recently found in 1901. One of the most well-known examples of the ancient maxim known as "lex talionis," or the law of retribution, is the Hammurabi Code.

Learn more about Hammurabi code on:

https://brainly.com/question/6772980

#SPJ1

If in the first week of​ July, a record 1,120 people went to the local swimming pool. the percent decrease in the number of people who went to the pool over these four​ weeks is 10%.

First week:

Number of people went to the local swimming pool =1120

Second week:

Number of people went to the local swimming pool =1120-110

Number of people went to the local swimming pool =1010

Third week:

Number of people went to the local swimming pool =1010+135

Number of people went to the local swimming pool =1145

Fourth week:

Number of people went to the local swimming pool =1145-137

Number of people went to the local swimming pool =1008

Decrease in number of people over four week=1120 -1008

Decrease in number of people over four week = 112

Percentage decrease  = 112 /1120  × 100

Percentage decrease = 10%

Therefore the percentage decrease is 10%.

Learn more about percentage decrease here:https://brainly.com/question/20749329

#SPJ1

The first car consumed 35 number of  gallons and the second car consumed 15 gallons.

1. Calculate the total efficiency of both cars: 35 mpg + 15 mpg = 50 mpg

2. Calculate total gallons consumed: 1150 miles/50 mpg = 23 gallons

3. Divide total gallons by each car: 23/2 = 11.5 gallons (round down to 11 for the first car and round up to 12 for the second car)

4. The first car consumed 11 gallons and the second car consumed 12 gallons.

The first car consumed 35 gallons and the second car consumed 15 number of gallons.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

A

Step-by-step explanation:

R = sqrt((7-4)^2+(14-15)^2)=sqrt(10)

The answer is A since that's the only answer with the proper radius, using the formula for a circle.

The volume of a cone is V = πr²h/3

The equation rewritten to solve for the height is V = πr²h/3

It is important to note that the formula for volume of a cone is expressed as;

V = πr²h/3

The parameters are;

Since the ice cream fits inside the cone and the height still holds the ice cream, let's make the height subject of formula.

Let's take the following steps;

V = πr²h/3

cross multiply the equation, we get;

V × 3 =  πr²h × 1

Multiply the values

3V = πr²h

To make the variable 'h' stand alone, let's divide both sides of the equation by its coefficient

3V/πr² = πr²h/πr²

Divide the values

c

Hence, the equation determines a linear measurement since the value 3 multiply the volume and not divides it.

Learn more about cones here:

https://brainly.com/question/6613758

#SPJ1

Answer:

its 4, but give the other guy brainliest he answered first :D

Step-by-step explanation:

Answer:

length: 1:30, area: 1:900

Step-by-step explanation:

1ft = 12 inches, so 2.5' = 30". scale for length is 1:30, for area it's square - 1:900

The probability that ben and tom will pass is 0. 87 and 0. 7 respectively will be 0.38

The answers to the questions are as follows:

Please refer to the attached file for point a.

Since both of them pass their driving tests at the same time, we double the odds of each one passing, which results in a probability of "56%".

Tom passes but Ben fails, or Tom passes but Ben succeeds. Therefore, the likelihood and the response is "38%."

(a)The tree diagram is attached.

P(Ben Fails)=1-0.8=0.2

P(Tom Fails)=1-0.7=0.3

(b)Probability that both will pass their driving test.

P(both will pass)=0.8 X 0.7 =0.56

(c)Probability that only one of them will pass their driving test.

P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)

=(0.7 X 0.2)+(0.8 X 0.3)

=0.14+0.24

=0.38

Know more about Probability

https://brainly.com/question/13604758

#SPJ4

An exponential function is represented by taking into account the fact that the graph has an asymptote and does not cross it.

A function with the formula f(x)=ax is an exponential function. Here, x is the input and an is a positive, real integer (referred to as the base) (independent variable). The independent variable is always in the exponent for exponential functions, which is important to keep in mind.

It is based on:

where a represents the y-intercept.

The rate of change is b.

The asymptote, which the function does not cross, is y = c.

Consequently, the graph in this issue models an exponential function with an asymptote at y = 0.

An exponential function is represented by taking into account the fact that the graph has an asymptote and does not cross it.

To learn more about exponential function refer to:

https://brainly.com/question/27570801

#SPJ1

Answer:

Step-by-step explanation:

6 2/5

Number 5 is denominator, keep it for denominator.

Numerator will be 6x5+2 =32

so, a fraction of 6 2/5 greater than 1 is 32/5