Practice identifying solutions to linear equations.
This equation has one solution.

5(x – 1) + 3x = 7(x + 1)

What is the solution?

Answer:

Its gotta be (6, 5)

Step-by-step explanation:

If we look at the sequence, the x coordinates are 2, -2, 4, -4. In the first & third x coordinates, there is an increment of 2 i. e. first 2 and then 2+2=4 so the fifth x coordinate should be 4+2=6.

The y coordinates are 3, 5, 4, 5. In the first and third y coordinates, there is an increment of 1 i. e. first 3 and then 3+1=4 so the fifth y coordinate should be 4+1=5.

The sequence goes like this

(2, 3), (-2, 5), (4, 4), (-4, 5), (6, 5), (-6, 5), (8, 6), (-8, 5), and so on

The total number of hours that it opens in one week will be 104 hours.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Walmart is open Monday through Saturday from 8:00 AM to 12:00 AM and Sunday from 10:00 AM to 8:00 PM.

From 8:00 AM to 8:00 PM, there are 12 hours and from 8:00 AM to 12:00 AM there are 4 hours. Then the total hours from Monday to Saturday will be calculated as,

⇒ 6 x (12 + 4)

⇒ 6 x 16

⇒ 96 hours

From 10:00 AM to 8:00 PM, there are only 10 hours. Then the total number of hours that it opens in one week will be given as,

⇒ 96 + 8

⇒ 104 hours

The total number of hours that it opens in one week will be 104 hours.

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Answer:

1.) 0.25

2.) 0.50

3.) 0.125

4.) 2.25

Step-by-step explanation:

When turning percentages into decimals, you move the decimal point two places to the left.

EX:

25%

25.0 (move the decimal point two places to the left)

2.5

.25

0.25 (add any zeros if necessary)

Hope this helps!!

It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.

She can put it into 2, 4, and 8 bags such that wafer cookies will same number in each bag.

A way to express or represent numbers is through the number system.

The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.

We often employ decimal numbers because they are so widely used.

The base of the decimal number system, which uses ten digits from 0 to 9, is 10.

A system of writing numbers is known as a number system. It is a mathematical notation that uses digits or other symbols to consistently express the numbers in a given set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given,

Number of wafer cookies = 64

To put into 2 bags = 64/2 = 32 in each bag.

To put into 4 bags = 64/4 = 16 in each bag.

To put into 8bags = 64/8 = 8 in each bag.

The complete question is : Lindy has 64 vanilla wafer cookies to put in bags. How many bags can she fill if she puts the same number in each bag and uses them all? Find all the possibilities. Explain your reasoning.

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Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.

To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.

Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.

Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.

Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.

Answer:

----------------------------------

Given equation:

Substitute:

Then we have:

Substitute back:

The indigo line is longer than the white line by 5.2 inches.

A line is a one-dimensional figure that has length but no width.

The length of the indigo line can be represented as I and the length of the white line as W.

The length of the indigo line is 11 4/5, i.e., I = 11 4/5 = 11.8

The given length of the white line is 6 3/5, i.e. W = 6 3/5=  6.6

The difference in length between the indigo and white lines is given by

I-W =  11.8 - 6.6 = 5.2

Hence, the indigo line is 5.2 inches longer than the white line.

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Only if (C) p(-4) = 0 will x + 4 be the polynomial p's factor.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

There is therefore no residual after division.

The numbers you multiply together to obtain another number are called factors.

A factor is therefore another number's divisor.

So, this is only true if, and only if, x + 4 is a factor of the polynomial p.

x + 4 = 0

x = -4

Comply with the polynomial equation that is:

p(-4) = 0

Therefore, only if (C) p(-4) = 0 will x + 4 be the polynomial p's factor.

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Complete question:
If (x + 4) is a factor of polynomial p, which statement must be true?

A.p(4) = 0

B. p(-4) > 0

C. p(-4) = 0

D. p(4) < 0

The proof that tan(x) sin(x) + cos(x) = sec(x) is represented by the trigonometric equation sec(x) = sec(x)

From the question, we have the following parameters that can be used in our computation:

tan(x) sin(x) + cos(x) = sec(x)

Express tan(x) as sin(x)/cos(x)

So, we have the following representation

sin(x)/cos(x) * sin(x) + cos(x) = sec(x)

Evaluate the products

So, we have the following representation

sin²(x)/cos(x)  + cos(x) = sec(x)

Take the LCM

[sin²(x) + cos²(x)]/cos(x) = sec(x)

Express sin²(x) + cos²(x) as 1

So, we have

1/cos(x) = sec(x)

Evaluate

sec(x) = sec(x)

Hence, the equation has been proved

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The equivalent expression is three raised to the sixth power divided by five raised to the fifteenth power. Option A

An equivalent expression is simply described as an expression having the same solution as the original expression but have a different arrangement of its variables and numbers.

Equivalent expressions are also known as expressions that works the same even  they look different.

From the information given, we have that;

[tex][\frac{5^-3}{3^-2 * 5^2} ]^3[/tex]

Now, find the exponential values, we have

[tex][\frac{5^-^3^-^2^)^}{3^-^2}]^3[/tex]

Subtract the exponents, we have;

[tex][\frac{5^-^5}{3^-^2} ]^3[/tex]

Multiply the exponents by the cube, we get;

[tex]\frac{5^-^5^*^3}{3^-^2^*^3}[/tex]

Now, multiply the values

5^-15/3^-6

Hence, the value is 5^-15/3^-6

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Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.

Earnings per hour are a unit rate since it is calculated for an hour.

Dollars per pound calories is a unit rate.

Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.

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The four letter code from the transformations is given as follows:

FB H.

The four letter code is obtained applying the transformations to the given points.

The coordinates of point 1 are given as follows:

(-4,2).

The transformation is a reflection over the x-axis, which has the rule given as follows:

(x,y) ->(x,-y).

Hence the coordinates of the image of point 1 are given as follows:

1'(-4,-2).

Meaning that the first letter is of F.

The coordinates of point 2 are given as follows:

(-2,3).

The transformation is a reflection over the y-axis, which has the rule given as follows:

(x,y) ->(-x,y).

Hence the coordinates of the image of point 2 are given as follows:

2'(2,3)

Meaning that the second letter is of B.

The coordinates of point 4 are given as follows:

(-1,2)

The transformation is a reflection over the line y = x, which has the rule given as follows:

(x,y) ->(y,x).

Hence the coordinates of the image of point 4 are given as follows:

4'(2,-1)

Meaning that the fourth letter is of H.

The third transformation is missing.

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The numbers of the atoms of each element are;

6 atoms of carbon, 12 atoms of oxygen

12 atoms of hydrogen, 6 atoms of oxygen

6 atoms of carbon, 12 atoms of hydrogen, 6 atoms of oxygen

12 atoms of oxygen

In a chemical reaction, there is the combination of the atoms of the reactants and a consequent recombination as the products are formed. In accordance with the law of the conservation of mass, we know that the number of atoms before reaction must be equal to the number of atoms after reaction.

Now we have to look at the atoms and count up the number of atoms of each element in each of the compounds and this is how we are able to obtain the number of each atom as shown above.

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Answer:

Step-by-step explanation:

The correlation coefficient between 1 and v(n) is -0.913, and this coefficient indicates a strong negative linear association. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.913, which indicates a strong negative relationship between 1 and v(n). This means that as the value of 1 increases, the value of v(n) decreases, and vice versa. This relationship is linear, which means that it can be described by a straight line. Overall, the correlation coefficient indicates a strong negative linear association between 1 and v(n).

Answer:

15.1

Step-by-step explanation:

tan(angle) = opposite/adjacent

tan 37 = AB/20

AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1

Answer:

Good question

yes so the answer will be on your screen in

3

2

1

here it is

Step-by-step explanation:

did u get it

Answer:

{x = 4

{y = -20

Step-by-step explanation:

{5x - 5y = 120

{y = -7x + 8

5x - 5(-7x +8) = 120

5x + 35x - 40 = 120

40x - 40 = 120

40x = 120 + 40

40x = 160

x = 160/40

(cross out common factor)

x = 4

-----------

x = 4 (next is y)

y = -7 x 4 + 8 (calculate)

y = 20

y = -20

solution of system;

{x = 4

{y = 20

At the circle's center, the arc's radius and angle are 9 cm and 4/3 radians, respectively.

Any section of a circle's circumference is considered an arc. Remember that the circumference of a circle is its perimeter or distance.

Given the length of the arc is 12cm and the area of the arc is 108 cm Square.

Since the length of the arc = θ × r

Area of the arc (A) =  (θ/360°) × πr2

Substituting values in the formulas

12  = θ × r

108 = θ × r²

comparing both equations

r = 9 cm

θ = 4/3 radian

Therefore, the radius and the angle subtended at the center of the circle by the arc are 9 cm and 4/3 radian respectively.

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Answer:

Step-by-step explanation:

The statements that are true regarding undefined terms are;

The reason these statements above are true are as follows:

Examples of undefined terms includes a point, a plane, a line and a set

A point is for representing a position in space. It has no dimensions

Therefore, the statement, A point has no length or width is true

A plane is defined as an interconnected set of points that lay on the same flat surface, and extends infinitely along the surface in all directions

A line is defined as an infinite set of points that are arranged in straight path and extends without end in opposite directions

Therefore, the statement, a line consists of an infinite number of points is true

Therefore, a plane can be considered as being made up of an infinite set of lines that are located on a flat surface

Therefore, the statement, a plane consists of an infinite set of lines is true

Lin needs a 45-meter head start as  Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Time = 30 sec

Lin's speed = 4m/s

Diego's speed = 5.5m/s

Distance travelled by ,

Lin = speed * time = 4 * 30

= 120 m

Diego = 5.5 * 30

= 165

Therefore, Diego will travel 45 m more than Lin in 1 sec.

Therefore, the head start should be of 45m.

The most crucial scientific notion is measurement is speed . Base or physical fundamental units are used to quantify a wide range of quantifiable quantities. One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

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The rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.

Let's call the distance between the bottom of the ladder and the wall x. We can express the area of the triangle in terms of x as follows:

Area = (1/2) * 52 * x

The area of the triangle is changing at a rate of 8 square feet per second as x changes at a rate of 8 feet per second. We can find the rate of change of the area with respect to x by taking the derivative of the area expression with respect to x:

d(Area)/dx = (1/2) * 52 = 26

Therefore, the rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.

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The value of y₂, y₃ and y₄ in the linear function are -21, -26 and -31 respectively.

Linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, to find the missing values in the table we have to use the equation of the linear function.

y = mx + b

let's find m.

using (4, -16) and (8, -36)

m = slope = -36 + 16 / 8 - 4

m = -20 / 4

m = -5

Hence, let's find y-intercept using (4, -16).

y = -5x + b

-16 = -5(4) + b

-16 + 20 = b

b = 4

Therefore, the equation is y = -5x + 4.

Let's find y₂, y₃ and y₄

y₂ = -5(5) + 4 = -25 + 4 = - 21

y₃ =  -5(6) + 4 = -30 + 4 = -26

y₄ =  -5(7) + 4 = -35 + 4 = - 31

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Answer:

a)   Number of laundry he can do with this box  = 78 laundries.b)   Price he paying for each load =  0.256

Answer:

D)  5x + 10y > 100

Step-by-step explanation:

We know that the sum of x $5 bills and y $10 bills in more than $100:

  5x + 10y > 100

c)  5x + 10y > 100

The sentence did not say equal or greater than (≥).

From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.

A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.

Given, linear equation is

[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]

Hence, the x equals to -8.

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If the snails moves at a constant rate, it will take 25 minutes to travel 55 feet.

We know that the snail travels at a rate of 2.2 feet per minute, so after x minutes, the distance traveled by the snail is:

D = 2.2ft*x

To see how many minutes it takes the snail to travel 55 feet, we need to solve the equation:

55 ft = 2.2ft*x

If we divide both sides by 2.2ft, we will get:

55ft/2.2ft = x

25 = x

So the snail takes 25 minutes to travel the 55 feet.

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Answer: The answer is y=7x+4

M is the slope and the y-intercept is b

The anticipated quantity of coupons as calculated from the data given is 1.6 .

We learn from the question that

The probability of a $10 voucher being redeemed via mail is p = 0.16.

n = 10 is the sample size.

In general, the projected number of coupons redeemed is represented numerically as

E(x) = np    [ of PDF ]

= 10 x 0.16

= 1.6

When data follows a normal distribution, the probability density function (PDF) and cumulative distribution function (CDF) assist us in determining probabilities and ranges of probabilities. The CDF is the PDF integration, from left to right. We may construct many forms of probability estimates from our normally distributed data using these two normal distribution functions.

The standard deviation is a technique for us to explain how "spread out" the data is - how far it "deviates" from the mean value. Both and are known as normal distribution parameters.

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Answer:

Makayla's sister has 48 bags of popcorn

Step-by-step explanation:

25/100 = 4

12x4 = 48

12*4

= 48 is the answer