1. |2x + z| + 2y


a = –2, b = –3, c = 2, x = 2.1, y = 3, and z = –4.2.

2. 4a – |3b + 2c|

Answer: 35

Step-by-step explanation:

So first you plug 5 into the equation which is:

10(5)-15

which is 50-15

50-15 is 35

Answer:

35

Step-by-step explanation:

plug 5 in for x and u will get 35

Answer:

2:16

Step-by-step explanation:

maybe i don't know im not smart but that is the ratio equalivent i guess i have to make this 20 words long soooo

Answer:

To find the number that makes the ratio equivalent to 1:8, we need to set up the ratio as a fraction and solve for the missing value.

The ratio 1:8 can be written as the fraction 1/8. In this case, the missing value is the numerator (1) and the known value is the denominator (8). To solve for the missing value, we can multiply both the numerator and denominator by the same value.

For example, if we multiply both the numerator and denominator by 2, we have:

1/8 = (12)/(82) = 2/16

If we multiply both the numerator and denominator by 4, we have:

1/8 = (14)/(84) = 4/32

If we multiply both the numerator and denominator by 5, we have:

1/8 = (15)/(85) = 5/40

In each of these cases, the ratio is still equivalent to 1:8, but the missing value (the numerator) is different. In general, we can multiply the numerator and denominator by any value to find the missing number that makes the ratio equivalent to 1:8.

For example, if we multiply both the numerator and denominator by 10, we have:

1/8 = (110)/(810) = 10/80

In this case, the missing value (the numerator) is 10, which makes the ratio equivalent to 1:8.

Step-by-step explanation:

Answer:

cos(2x)

Step-by-step explanation:

To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).

This identity can be derived by using the double angle formula for cosine:

cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x

Therefore, the expression cos²x - sin²x can be simplified to cos(2x).

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<

Here,

Let the quantity of sold laptops, x

y —- the quantity of sold smartphones

The fact that to solve this problem we use inequality help

The problem's underlying inequity is equal to

=> 80x + 60y ≥6800

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

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Mario make total $132.1 from the tip of his two customers.

The amount of tip obtained = total bill × percentage of the bill

Put the respective values in equation depending on the customer A or B

Tip from customer A

Tip = 430.50 × 20%

Now find percentage by multiplication and division on Right Hand Side of the equation

Tip = $86.1

Tip from customer B

Tip = 184 × 25%

Again perform multiplication and division on Right Hand Side of the equation

Tip = $46

Total tip earned = 86.1 + 46

Simply add the two numbers on Right Hand Side of the equation to find the total tip earned

Total tip earned = $132.1

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The following method for assigning the 24 students to two equal-sized groups allows for a statistical valid comparison of the two instructional programmes.

An instructional programme is a course of study that requires the completion of a specified number of course credits from a prescribed group of courses and results in a formal award.

A) Each student will be given a unique random number generated by a random number generator on a calculator, statistical software, or a random number table. The assigned numbers will be listed in ascending order. Students with the lowest 12 numbers on the ordered list will be assigned to the instructional programme that requires physically dissecting frogs.

Students with the highest 12 numbers will receive an instructional programme that simulates frog dissection using computer software.

B) By not randomizing and allowing students to self-select, there is the possibility of changes in the differences between pre test and post test scores for a specific group due to the characteristics of students who choose a particular instructional method, rather than the instructional method itself.

For example, suppose frog-loving students already know a lot about frog anatomy; these students would be less likely to show a large difference between pre and post test scores. Assume that the frog-loving students prefer the computer simulation method (perhaps because they do not like the notion of dissecting the frogs they love).

The possible low change in pre- and post-test scores for the computer simulation group could then be attributed to the students' prior knowledge of frog anatomy, rather than to the instructional method itself. Because the students entering the frog dissection group have lower pre-test scores (less prior knowledge), they are more likely to show greater improvement between pre-test and post-test scores.

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Therefore , the solution of the given problem of equation comes out to bem² + p² =z².

The Latin word equ has the meaning of equivalent. Many of the English language's changeable terms, including adequate, temperate, and equality, contain Latin roots in their base words. The Latin root word equ enters our lexicon rather easily because both sides of an equation are, by essence, "equal" to one another.

Here,

Given : a triangle of m,p,z of length of right triangle :

By using Pythagoras theorem :

The relationship comes out to be :

=> m² + p² =z²

Thus , relationship between m , p and z is m² + p² =z² as per Pythagoras theorem.

Therefore , the solution of the given problem of equation comes out to be m² + p² =z².

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The amount luke made more than alexa is $3.91 .

What is simple interest ?

simple interest can be defined as the ratio of product of principal amount , rate and time and 100.

Luke investment,

This is compound interest so the future value formula will be used:

= Amount * ( 1 + rate) ^ no. of years

= 4,000 * ( 1 + 1.8%)³

= $4,219.91

Alexa investment:

Simple interest is calculated with the formula:

= Amount * ( 1 + rate * time)

= 4,000 * ( 1 + 1.8% * 3)

= $4,216

Amount Luke made more than Alexa:

= 4,219.91 - 4,216

= $3.91

Hence , The amount luke made more than alexa is $3.91 .

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15 degrees by eye i think                                                        

Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6 8 = 20x x = 8/20, simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

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In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm then the radiu of the circumcircle is 39

A chord is the line segment joining two points of the circumference of a circle as shown in the image attached.

If the chord is passing through the center of the circle then it will become diameter which means the diameter is the longest possible chord inside a circle.

A chord is always within the circumference because it is inside the circle.

Whats the definition of a circumference?

a line that goes around or encloses a circle. : the outer boundary of a figure or area. 3. : the distance around something. the circumference of the earth at the equator.

since ABC is an equilateral triangle

therefore SD bisects BC

BD= BC/2

BD= 36

IN Triangle ABC

since angle BDS = 90 degree

Therefore

BS = 39

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The solid that can produce the given two-dimensional shape when sliced vertically is option 2.

When we examine anything vertically, we see it from top to bottom. When something is standing, it is referred to as the alignment.

When we examine objects horizontally, we do it from left to right. When anything is in the sleeping posture, it is known as the alignment.

The given shape is a rectangle. When the rectangular prism is sliced in a vertical manner the solid will represent the given shape that is a rectangle.

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1. The Riemann Hypothesis Equation

C) there is a 5% probability of rejecting a false null hypothesis

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

The area of mathematics called trigonometry examines the correlation between triangle length l. The field first came into existence in the Classical world, presumably in the third-century BC, as a result of the integration of geometry with astronomy studies. Precise approaches mathematics deals with certain trigonometric equations and possible uses of them in calculations. There are six common trigonometric functions in trigonometry. They are known by their respective names and abbreviations sine, trigonometry, tangent, secant, etc. cosecant (csc). The studies of triangle aspects, particularly those right triangles, is known as trigonometry. However, studying geometry entails learning about all polygons' characteristics.

Here,

given  :

An aircraft is being followed by two radar stations, which are 4.3 miles apart.

Station A is 9.6 miles away from the plane in a straight line.

Thus,

To find the angle of elevation  from station A to plane :

Using Trigonometric ratios:

=> Sin A  = 8.5 / 9.6

=> Sin A = 85/96

=> A =  [tex]Sin^{-1}[/tex](85/96 )

=> A = 62.302840124651483 °

=> A = 62.3°

Therefore , the solution to the given problem of trigonometry comes out to be  angle of elevation : 62.3°.

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On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

1200=300+5x

900 = 5x

x=180

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When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

A number is itself divisible by nine if the total of its digits is also divisible by nine.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine without remainder.

By utilizing the aforementioned attribute, we can

1 + 3 + 4 + 5 = 9, 18, or 27.

4 +2A = 9, OR 18, OR 27

calculating based on sum equal to 18

2A = 18 - 4

2A = 14

A = 7

therefore 3771 is the number

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Answer:

help u with  what

Step-by-step explanation:

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

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The total number of cookies baker sold in all are 350 cookies.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.

Let the total number of cookies be x.

Now, 38% of x=133

38/100 ×x=133

x=13300/38

x=350

Therefore, the total number of cookies baker sold in all are 350 cookies.

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Answer:

Step-by-step explanation:

You want the percentage multiplier associated with the following changes:

To find the multiplier, add 1 to the change. When you want the multiplier in percent, then add 100% to the change expressed as a percent. (1 = 100%)

  100% -25% = 75% . . . . of last year

  100% +50% = 150% . . . . of sales last month

  100% -10% = 90% . . . . of last marathon's time

Teaching two step equations is a standard that needs to be taught in both 7th and 8th grade middle school PreAlgebra Math.

Two step equations are algebraic equations that can be solved in exactly two steps and gives the final answer of the variable in two steps. Generally two step equations are of the form ax + b = 0  where a and b are real numbers.

A two-step equation is an equation that requires two steps to solve. We must eliminate any constant that is on the same side as the variable first. To solve first use the inverse operations to isolate the variable by itself. We can do only one operation in single step.

Now

we solve two steps equation in grade 7th and 8th.It is very easy to understand.

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The example of a proportion, is An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds.​

The term proportionality describes any relationship that is always in the same ratio.

Given are some statements,

a) A car used 3 gallons of gas to drive 72 miles on a highway and used 4 gallons of gas to drive 72 miles in a town.

Solution:- In this case, we see, a car is using 3 and 4 gallons of gas for driving in a highway and in a town for 72 miles respectively.

Since, the distance is same and quantity of gases is different therefore, this can not be represented as a proportion.

b) A store charged $20 for 2 shirts and charged $25 for 3 shirts.

Solution:- In this, let's first find the unit prices for each,

for $20 there are 2 shirts, therefore, for 1 shirt it will be $10, and for 3 shirts it costs $25, therefore, for 1 shirt it will cost $8.3

Since, unit price for both is not equal, therefore, this can not be represented as a proportion.

c) A signal light flashed yellow 7 times in 28 seconds and flashed red 5 times in 35 seconds.

Solution:- As in 2nd option, will here also find unit rate, since, yellow light is flashing 7 times in 28 seconds, therefore, in 4 seconds it will be flashed for 1 time, similarly, red  light is flashing 5 times in 35 seconds, therefore, in 7 seconds it will be flashed for 1 time,

Since, both unit rates are not equal, therefore, this can not be represented as a proportion.

d) An alarm on a clock beeped 7 times in 6 seconds and beeped 14 times in 12 seconds.​

Solution:- Again we will find unit rate, since, the alarm is beeping 7 times in 6 seconds, therefore, it will beep for 1 time in 6/7 seconds, similarly, it is beeping 14 times in 12 seconds, so for 1 time it will beep in 12/14 = 6/7 seconds.

Here, we see that, both the unit rates are equal, therefore, this is an example of a proportion.

Hence, the last option is the correct example.

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Answer: x=-6

Step-by-step explanation:

[tex]\displaystyle\\2^{2x-1}*(\frac{1}{8} )^{1-x}=4^{3x+1}\\\\2^{2x-1}*8^{(-1)(1-x)}=(2^2)^{3x+1}\\\\2^{2x-1}*(2^3)^{x-1}=2^{2*(3x+1)}\\\\2^{2x-1}*2^{3*(x-1)}=2^{6x+2}\\\\2^{2x-1}*2^{3x-3}=2^{6x+2}\\\\2^{2x-1+3x-3}=2^{6x+2}\\\\2^{5x-4}=2^{6x+2}\\\\Hence,\\\\5x-4=6x+2\\\\5x-4-2=6x+2-2\\\\5x-6=6x\\\\5x-6-5x=6x-5x\\\\-6=x\\\\Thus,\ x=-6[/tex]

Answer:

Step-by-step explanation:

We have:

2^(2x-1) x [1/8]^(1-x) = 4^(3x+1)

2^(2x-1) x [1/2³]^(1-x) = 2²^(3x+1)

2^(2x-1) x 2^-3+3x = 2^6x+2

2^5x-4 = 2^6x+2

on comparing both sides we get :

5x-4 = 6x +2

x = -6

On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.

A toast costs =  x dollars.

A bagel costs  = y dollars.

A muffin costs = z dollars.

It costs $3.15 for two pieces of toast and a bagel.

As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,

2x = 3.15 —Y

x = -o.5y+ 1.575

It costs $3.30 for a bagel and a muffin.

Since x and z are functions of y,

—0.5y + 1.575 + + 3(3.3 — y) 9.15

—0.5y + 1.575 +2y + 9.9—3y = 9.15

—1.5y + 11.475 = 9.15

1.5y = 2.325

2.325

Y = 1.55

One bagel is 100*1.55 = 155 cents in dollars.

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Answer:

55

Step-by-step explanation:

Answer:

y = -3x + 12.96

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Answer: 18

Step-by-step explanation:

18*1=18

18*2=36

The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.

What is expression?

It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.

Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.

As example 4 + 3 or 100÷4

The expression which has both variables and numbers is called algebraic expression.

As example X+6 or 25+5y

What is coefficient?

In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y

but 24 is a constant number.

How can we determine the coefficient from the given expression?

We are given three expressions, these are 2xA²y, 10xyA² and 5yA²

for the 1st expression, 2 is the coefficient of A²y

for the 2nd expression, 10 is the coefficient

for the last 5 is the coefficient.

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The frequency table for the given data is shown above.

A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.

Given is the age of people waiting in line for a movie as -

12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8

Arrange the data in ascending order -

6, 6, 8, 10, 12, 15, 27, 31, 45, 49, 55, 65

INTERVALS                      FREQUENCY

0 - 10                                       4  

11 - 20                                      2  

21 - 30                                     1

31 - 40                                     1

41 - 50                                     2

51 - 60                                     1

61 - 70                                      1

Therefore, the frequency table for the given data is shown above.

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