Mrs. Porte wrote the equation below on the board.



ax+7=8x+b



Enter values of a and b for which x has infinitely many solutions in Mrs. Porte’s equation.

There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

Steps to solve the inequality:

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It is impossible to solve a 3-sided triangle because triangles require 3 sides and 3 angles in order to be solved.

A triangle is a three-sided polygon, and the sum of its angles is always 180 degrees. In order to solve a triangle, you must know the length of all three sides and the measure of all three angles. If you know two sides and the angle between them (the angle opposite to one of the sides), you can use the Law of Sines to determine the other angle. If you know two angles and a side, you can use the Law of Cosines to determine the other two sides. With all three sides and angles known, you can use the Pythagorean Theorem to check your work. However, if you only have three sides, it is impossible to solve the triangle because you do not have enough information.

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The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Answer:

112

Step-by-step explanation:

8 players time 14 teams = 112

8*14=112

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

20.8

Step-by-step explanation:

hope this helps

Answer:

All you have to do is remember the equation: 2 *pi * r

or d * pi

Step-by-step explanation:

2R and d are the same thing

Answer:

(E) - About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval that captures the population mean happiness rating.

Step-by-step explanation:

The correct answer is (E). When we select a random sample from a population and use it to construct a confidence interval, the confidence level tells us what proportion of all such random samples we can expect to give confidence intervals that will capture the population parameter.

Answer: 7.083

Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)

Answer:

125 square units

Step-by-step explanation:

YYWW :)

Answer:

b. 132°

Step-by-step explanation:

Answer:

(20,0) , (0,16) , (5,12) , (10,8) , (15,4)

Step-by-step explanation:

Total amount of tickets sold = 80

Per ticket price for students = 4 ; Per ticket price for non students = 5

Let no. of students be s , no. of non students be x

Equation : 4s + 5x = 80

So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20

Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16

Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)

Answer:

x = 20

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.  

This relationship is represented by the formula: a*a + b*b = c*c

[tex]\sqrt{16^2 + 12^2}[/tex] = x  

Answer:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

(2x - 5)(x + 1)

B)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

C

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

D

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

5W = 24D is the expression that represents the change in the rate of dosage as per the weight.

A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.

Given the relation between dosage and the weight of a medicine

               Children's Fever Medicine

                (given every 4-6 hours, as needed)

Weight:     24 lbs         36+ lbs         48+lbs          60+lbs         72+ lbs

Dosage:    5 mL         7.5 mL          10 mL             12.5 mL           15 mL

ratio of weught and dose

24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15

=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8

Since weight is directly proportional to the dosage

let W be the weight of the child and D be the Dose of the medicine

Thus, Relation between them:

=>W/D = 24/5

=> 5W = 24D

Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.

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The value of the expression is -44 and thus does not depend on the value of x

An algebraic expression can be described as a mathematical expression made up of variables, terms, factors, coefficients and constants.

They are also made up of mathematical or arithmetic operations, which includes;

From the information given, we have that;

(x-5)(x+8)-(x+4)(x-1)

expand the bracket

x² + 8x - 5x - 40 - (x² -x + 4x - 4)

x² + 8x - 5x - 40 - x² + x - 4x + 4

collect like terms

3x - 3x - 40 - 4

add or subtract like terms

0 - 44

Hence, the expression does not depend o x

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The two angles that have the sum of angles as 90° are called as Complementary Angles .

What are Complementary Angles ?

The two angles are said to be complimentary Angles when the sum of two angles is 90° .

In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles.  We can also say that  the two angles complement each other.

For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .

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This approximates to roughly 6/7 = 0.8571

========================================================

Explanation:

Let's define the following

There are 30 students in the class total. This must mean A+B+C+D = 30.

We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.

We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).

This means:

A+B+C+D = 30

(A+B)+C+D = 30

(21) + C + 7 = 30

C+28 = 30

C = 30-28

C = 2

We have 2 people who failed the test, but did the hw.

Because 20 students did the hw, we know that

A+C = 20

A+2 = 20

A = 20-2

A = 18

We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.

The probability we're after is therefore:

18/21 = (3*6)/(3*7) = 6/7

Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.

Answer:

6/7

Step-by-step explanation:

It's correct trust me.

Answer:

Step-by-step explanation:

the formula for the slope is y2 - y1 / x2 - x1

so 1 - 0 / -3 --3/7

on the calculator

- 7 / 18

Answer:

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

Answer:

The box is considered a cube so,

4 x 4 = 16

56 divided by 16 = 3.5 is your height

1/2 x 1/2 x 1/2 = 1/8.

56 divided by 1/8 = 7 cubes

Answer:

Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.

theremay be some options first show the options then it would be very easy

The required dimensions are solved using linear pair and vertical angle to get the result as

The value of x and y is calculated using linear pair theorem, the theorem implies that

solving for x

(3x + 5) + (x + 15) = 180

3x + x + 5 + 15 = 180

collecting like terms

4x = 180 - 15 - 5

4x = 160

x = 40

solving for y

(y + 20) + (4y - 15) = 180

y + 4y + 20 - 15 = 180

collecting like terms

5y = 180 - 20 + 15

5y = 175

y = 35

Angle AED

= 3x + 5

= 3 * 40 + 5

= 125 degrees

Angle AED = angle CEB = 125 degrees (vertical angles)

Angle DEB

= x + 15

= 40 + 15

= 55 degrees

Angle DEB = Angle AEC = 55 degrees (vertical angles)

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Answer:

a = 12.93

Step-by-step explanation:

Convert to decimal: 12 1/3 = 12.3

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

a = 12.93 (rounded to two decimal places)

The solution is :

the missing length of the triangle is a = 12.93.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Convert to decimal: 12 1/3 = 12.3

so, we have,

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

we get,

a = 12.93 (rounded to two decimal places)

Hence, the missing length of the triangle is a = 12.93.

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The number of 1/3 inch cubes that will fill the box is 26.

The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.

Given a cube of length 1/3 inch. The volume of the cube can be determined as;

volume of a cube = length x width x height

The volume of the cube = 1/3 * 1/4 * 1/3

                            = 1/9 cube inches

The volume of the box can be determined as;

Volume of the box = length x width x height

                       = 1 1/3 * 1 1/3 * 1 2/3

                       = 2.963 cubic inches

Volume of the box = 2.963 cubic inches

The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)

                                                        = 26.667

The number of 1/3 inch cubes that will fill the box is 26.

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a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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Answer:

The answer is 3 and 7.

Step-by-step explanation:

Answer:

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

Given :

Expression - 7 + 7

Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.