Help please help help please help help me help please help help please

The equation representing the normal cost (x), for an individual, is 6(x - 3) = 54, so option A is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Costs $54 for 6 people of the package, and $3 less per person than the normal cost for an individual.

The individual cost = 54 / 6 = $9, so the normal cost will be = 9 + 3 = $12

Apply the hit and trial method in the option,

(2)

3(x - 6) = 54

x - 6 = 54 / 6

x = 9 + 6 = 15

(1)

6(x - 3) = 54

x - 3 = 54 / 6

x = 9 + 3 = 12

Therefore, the equation representing the normal cost (x), for an individual is 6(x - 3) = 54.

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The additional information that could be used to prove that ΔXYZ ≅ ΔFEG by ASA or AAS are:

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and XY ≅ FE .

The AAS is a theorem that states that we can prove that two triangles are congruent if they have two pairs of congruent angles and a pair of non-included sides.

The SAS is also another theorem that states that we can prove that two triangles are congruent if they have two pairs of congruent sides and a pair of included congruent angles.

From the image attached below, we are only given one pair of congruent angles, which is ∠X ≅ ∠F.

Therefore, for both triangles to be congruent by AAS or SAS, the additional information needed are:

∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE .

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The y-intercept of the line that passes through the two points (-3, -5) and (3, -1) is -3.

What is the y-intercept of the line?

A line's y-intercept is the value of y at which the line crosses the y-axis. In other words, it is the value of y when x is equal to zero.

The given points are (-3, -5) and (3, 1).

By using a two-point form of the line

     [tex]\frac{x-x_1}{x_1-x_2} = \frac{y-y_1}{y_1-y_2}\\[/tex]

    [tex]\frac{x-(-3)}{-3-3} = \frac{y-(-5)}{-5-(-1)}\\\\\frac{x+3}{-6}=\frac{y+5}{-4}\\\\-4x-12=-6y-30\\\\6y=4x-30+12\\\\6y=4x-18[/tex]

This equation can be written as

      [tex]y =\frac{4x}{6}-\frac{18}{6}\\\\y=\frac{2x}{3}-3[/tex]

Now comparing with the slope-intercept form of the line 'y = mx + c'

then y-intercept (c) = -3.

Hence, the y-intercept of the line that passes through the two points (-3, -5) and (3, -1) is -3.

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Answer:

it is a function.

Step-by-step explanation:

The answer is just 3x+6

Answer:

3x+6 can be be the result of 3(x+2) and then you distribute to get 3x+6

If you are asking how to solve you need an equal sign in the equation for example: 3x+6=27 you would have to solve to figure out wht x is. x is any unknown number we use x or any letter in the alphabet to fill in. You have to olve for the variable now.

A General Rule for Solving Equations

Simplify each side of the equation by removing parentheses and combining like terms.

Use addition or subtraction to isolate the variable term on one side of the equation.

Use multiplication or division to solve for the variable.

Step-by-step explanation:

Answer:

3! = 3*2*1 = 6

Step-by-step explanation:

! is factorial meaning that you multiply that number by all of the number below it

9! = 9*8*7*6*5*4*3*2*1

1011 = 1011*1010*1009*1008...3*2*1

The temperature decrease for every meter that the mountain climber's altitude increases is given by:

-100 ºF.

The function that models this situation is a linear function, which has the format defined as follows:

y = mx + b.

In which the coefficients are given as follows:

In the context of this problem, the function is defined as follows:

f(a) = -100a + 75.

Hence the slope of the function is of:

-100.

Representing the temperature decrease for each meter of altitude increase of the climber.

The function is defined as:

f(a) = -100a + 75.

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Answer:

37

Step-by-step explanation:

4b+10-b = 3b + 10 = 3(9) + 10 = 27 + 10 = 37

Answer:

Step-by-step explanation:

Ok:

If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price

2. 28.45-7.44=$21.01

3. Answer: The cost of the other one is $21.01

π/3 radian is the radian measure of angle AOB

The length of an arc can be calculated using the arc length formula in radians below:

Arc Length (L) = θ × r

Where

θ is  is the radian measure of the angle and r is the radius of the circle

Given: L = 2π/9 yards, r = 2 feet = 2/3 yard

L = θ × r

2π/9 = θ × 2/3

θ  = (2π × 3) / (9×2)

θ  = π /3 radian

Therefore, the radian measure of angle AOB is π /3 radian

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the probability of the committee consisting of all women is 6.53%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

number of women = 20

number of men = 13

Total number of persons = 20+ 13 = 33

A committee of 5 people is chosen at random. Total number of ways in which the committee of 5 can be chosen N

N = C(33 5) = 33! / 5!*28!

N = 237336

p(the committee consists of all women) = C (20 3)*C(13 0)/N

p = 15504 / 237336

p = 0.0653

Hence, the probability of the committee consisting of all women is 6.53%

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Step-by-step explanation:

the x-intercept is the point, where the curve intercepts the x-axis (that means y = 0).

the y-intercept is the point, where the curve intercepts the y-axis (that means x = 0).

y = 10 - 2x

when x = 0, that means y = 10 - 2×0 = 10.

when y = 0, that means 0 = 10 - 2x, 2x = 10, x = 5

x-intercept = (5, 0)

y-intercept = (0, 10)

4y + 9x = 18

x = 0, 4y = 18, y = 18/4 = 9/2 = 4.5

y = 0, 9x = 18, x = 18/9 = 2

x-intercept = (2, 0)

y-intercept = (0, 4.5)

6x - 2y = 44

3x - y = 22

x = 0, -y = 22, y = -22

y = 0, 3x = 22, x = 22/3 = 7 1/3

x-intercept = ( 7 1/3, 0)

y-intercept = (0, -22)

2x = 4 + 12y

x = 2 + 6y

x = 0, 6y = -2, y = -2/6 = -1/3

y = 0, x = 2 + 6×0 = 2

x-intercept = (2, 0)

y-intercept = (0, -1/3)

When the denominator is bigger than the numerator, a fraction is expressed as one with a numerator and a denominator. 55 cups of jam divided equally into 4 containers yields 13.75 cups per container. 13.75 cups of jam are contained in each container.

We have,

55 cups of blueberry jam were produced by Jada, who then evenly distributed the jam across 4 containers.

jam content of each container.

= 55 cups / 4 container

= 13.75 cups / 1 container

This indicates that there are 13.75 cups of jam in each container.

55 cups of jam are divided into 4 equal containers in this manner.

13.75 cups / 1 container

The amount of jam in each container is 13.75 cups of jams.

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The system of equations that models the situation is as follows:

7t +  3w = 438

4t + 9w = 336

Mai bought seven Christmas trees and three Christmas wreaths for a total of $438.  Samantha Bought 4 Christmas trees and nine Christmas wreaths for a total of $336 from the same store.

The system of equations modelling the situation is represented as follows:

let

Therefore,

Mai total cost:

7t +  3w = 438

Samantha total cost:

4t + 9w = 336

Hence,

7t +  3w = 438

4t + 9w = 336

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Answer: -1/4

Step-by-step explanation:

     We will use "rise over run" to find the slope of this line.

     Starting at (0, 1) we will count down (negative slope) one unit and 4 units to the right and arrive at point (4, 0) for a slope of -1/4.

Answer:

C

Step-by-step explanation:

If we use the distributive property for 4 (2x + 1), we see that 4 (2x) = 8x and that 4 (1) = 1. That means 4 (2x + 1) = 8x + 4 which is not equivalent to 2x + 4y. So this limits our answer to either C or D. C is the correct answer because if we use the distributive property again here for 4 (2x + y), we see that 4 (2x) = 8x and 4 (y) = 4y. That means that 4 (2x + y) = 8x + 4y which is the answer we're looking for.

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The value of car after 6 years is £498.53

Define Modeling Exponential Decay

Given that,

Dan buys a car =  £700

Depreciates at a rate of = 5.5% per year

The value after 6 years = 700 (1 - 5.5 / 100) ^6

                                       = 498.527 or 498.53

Therefore, the value of car after 6 years is £498.53

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The 600 chairs capacity of the hall and the arrangement such that an increase in the number of rows by 5 decreases the number of chairs per row by 6 is a word problem that indicates;

(a) There are originally 20 rows of chairs in the hall

(b) The number of empty chairs per row is 6 empty chairs

A word problem is a question in which the information required to find the solution and the description of the situation is provided using sentences, or regular verbal statements rather that symbols, expressions or operators.

(a) The number of chairs the hall can accommodate = 600

Let x represent  the number of rows of chairs, therefore;

The number of chairs per row = 600/x

When the number of rows is increased by and the number of shares per row is decreased by 6, we get;

New number of rows = x + 5

New number of chairs per row = (600/x) -6

The equation for the number of chairs in the hall becomes;

(x + 5) × ((600/x) - 6) = 600

600·x + 6·x² - 570·x - 3000 = 0

6·x² + 30·x - 3000 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20) = 0

x = -25 and x = 20

The number of rows is a positive number, therefore;

(b) After re-arrangement, the number of rows, x = 20

The new number of chairs per rows = (600/20) - 6 = 24

The new number of rows = 20 + 5 = 25

Let E represent the number of empty chairs, the number of people in each row becomes 24 - E, which indicates;

25 × (24 - E) = 450

450 ÷ 25 = 18 = 24 - E

E = 24 - 18 = 6

The number of empty chairs per row, E = 6

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Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

[tex]\implies 6 \times 154 = 924[/tex]

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

[tex]\implies (0.06) \cdot (0.154)=0.00924[/tex]

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

Answer option A

[tex]\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}[/tex]

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

[tex]\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)[/tex]

Therefore, this is a valid answer option.

Answer option B

[tex]\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}[/tex]

Multiply the numbers 6 and 154:

[tex]\implies 6 \times 154 = 924[/tex]

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

[tex]\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924[/tex]

Therefore, this is a valid answer option.

Answer option C

[tex]\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}[/tex]

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

[tex]\implies 6 \cdot 154 = 924[/tex]

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

[tex]\implies 0.924[/tex]

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

[tex]\boxed{6 \cdot 154 \cdot (0.00001)}[/tex]

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

[tex]\implies 6 \cdot 154 \cdot (0.00001)=0.00924[/tex]

Therefore, this is a valid answer option.

Answer option E

[tex]\boxed{0.00924}[/tex]

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

The value of z = 0 + 0i

What is complex numbers ?

A complex number can be represented in the form a + bi, where a and b are real numbers. A complex number is a part of a number system that extends the real numbers by adding an element designated by the symbol I sometimes known as the imaginary unit, and meeting the equation displaystyle i2=-1.

( x + iy ) - 4i ( x - iy ) = 0

x + iy - 4ix + 4i²y = 0

x + i (-4x + y ) + 4y = 0

x + 4y + ( - 4x + y )i = 0

Now two complex numbers are equal if both the real and imaginary parts are equal, which gives you the system of equation

x + 4y = 0 ⇒(1)

-4x + y = 0 ⇒ (2)

Multiplying equation (1) with 4

4x + 16y = 0

Solving the equations

4x + 16 y = 0

-4x + y = 0

      17 y = 0

          y = 0

Putting the value of y in (1)

x + 4(0) = 0

x = 0

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Answer:

y=3x+11

Step-by-step explanation:

y=mx+b is slope intercept form

m is slope and b is y intercept

parallel lines have the same slope so we know the slope will be 3 so to find the y intercept we plug in what we know

y=3x+b

5=3(-2)+b

5=-6+b

+6 +6

11=b

y=3x+11

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Answer: 50% of her average running speed is her average walking speed

Step-by-step explanation:

60 ÷ 4 = 15
60 ÷ 8 = 7.5
7.5 is half of 15, making it 50% of her running speed.

Using the proportion , the 5% of 60 would be 3.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the number of 5% of 60.

5% of 60

= 0.05 x 60

= 3

Therefore, the 5% of 60 would be 3.

Using the proportion , the 5% of 60 would be 3.

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The options that are equal to 6⁴/(6⁻⁵) using laws of exponents are;

b. 1/6

c. 6^-1

d. 1/6^1

The laws of exponents are;

The exponent we are supposed to solve is;

6⁴/(6⁻⁵)

According to laws of exponents, we know that;

x³/x² = x^(3 - 2)

Thus;

6⁴(6⁻⁵) = 6^(4 + (-5)) = 6^(-1) = 1/6

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Complete question is;

Select all the are equal to 6^4(6^-5)

a. 1\6^-1

b. 1/6

c. 6^-1

d. 1/6^1

e. 1/-6

Answer:

x= -7

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This can be abbreviated to ∠ sum of ∆.

Adding the angles in the triangle,

84° +(x +59)° +(x +51)°= 180° (∠ sum of ∆)

2x= 180 -84 -59 -51

2x= -14

Divide both sides by 2:

x= -14 ÷2

x= -7

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Answer:

It means that the quantities have the same relative size. In other words they have the same ratio.

Step-by-step explanation:

For example look at the attached files

Brand A: Price = $18.75

Brand B: Price = $15

Brand C: Price = $21.25

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

original price = $25.00.

Brand A:

Discount = 25%

So, Price after discount = 25 - 25% of 25

                                       = 25 - 0.25 x 25

                                       = $18.75

Brand B:

Discount = 40%

So, Price after discount = 25- 40% of 25

                                       = 25 - 0.40x 25

                                       = $15

Brand C:

Discount = 15%

So, Price after discount = 25 - 15% of 25

                                       = 25 - 0.15 x 25

                                       = $21.25

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The variables of the test statistic may be determined to be [tex]$s _1$[/tex], [tex]$s _2$[/tex], [tex]$n_ 1, n _2$[/tex], t, which is the t - distribution test statistic, and [tex]$x _1, x _2$[/tex], which is the mean of the two samples.

When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be [tex]$s _1$[/tex], [tex]$s _2$[/tex], [tex]$n_ 1, n _2$[/tex], t, which is the t - distribution test statistic, and [tex]$x _1, x _2$[/tex], which is the mean of the two samples.

The formula for this type of test statistic is given by -

[tex]$t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$[/tex]

Here, the variables can be defined as below -

[tex]$s_1^2, s_2^2=$[/tex] variance of two samples

[tex]$n_1, n_2=$[/tex] respective sizes of the two samples

t = t - distribution test statistic

[tex]$x_1, x_2=$[/tex] Mean of the two samples

As a result, the variables of the test statistic can be determined to be [tex]$s _1, s _2$[/tex], which represents the variance of two samples, [tex]$n _1, n _2$[/tex], which represents the size of the two samples, t, which represents the t-distribution test statistic, and [tex]$x _1, x _2$[/tex], which represents the mean of the two samples.

The complete question is:

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:

t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2

Match the variables to their description.

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Tracy need 5 weeks to save enough money to buy a new guitar.

Given that,

Tracy is saving to buy a new guitar. Which having costs $253.77(including tax).

Tracy has already saved $136. 27.

Now she needs = 253. 77- 136. 27

                          = $117.50

she can save each week = $23. 50

Tracy will take weeks to save enough money

     = [tex]\frac{117.50}{23.50}[/tex]

     = 5 weeks.

Therefore, Tracy need 5 weeks to save enough money to buy a new guitar.

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Answer: log2-log6=-log3

Step-by-step explanation:

[tex]\displaystyle\\log2-log6=\\\\log\frac{2}{6} =\\\\log\frac{2(1)}{2(3)}=\\\\log\frac{1}{3} =\\\\log3^{-1}=\\\\-log3[/tex]

Answer:

D. The sixth root of three

Step-by-step explanation:

Translate from words to math symbols:

three to the one third power all over three to the one sixth power

[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]

Simplify:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]

Answer:

[tex]\sqrt[6]{3}[/tex]

D. the sixth root of three