which of the following graphs represents the equation y -2 = 3x-1

Answer: 5

Step-by-step explanation:

80 / 16 =5

L x W = A

so, we have to work backwards

80 / 16 = 5

hope this helps

plzz mark brainliest

To determine the price at which the candy mix should be sold to realize the same revenue earned by selling the candies separately, we need to consider the total revenue generated from each type of candy.

For gummy bears, the total revenue is calculated by multiplying the quantity (8 kg) by the price per kilogram ($2.50), resulting in $20.

For lollipops, the total revenue is obtained by multiplying the quantity (4 kg) by the price per kilogram ($1.99), giving us $7.96.

Similarly, for hard candies, the total revenue is computed by multiplying the quantity (7 kg) by the price per kilogram ($3.50), resulting in $24.50.

To realize the same revenue from the candy mix, we add up the individual revenues: $20 + $7.96 + $24.50 = $52.46.

Since the total weight of the candy mix is 8 kg + 4 kg + 7 kg = 19 kg, we divide the total revenue ($52.46) by the total weight (19 kg) to find the average price per kilogram: $52.46 / 19 kg ≈ $2.76/kg.

Therefore, the candy mix should be sold at approximately $2.76 per kilogram to achieve the same revenue as selling the candies separately.

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Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

Answer:

y/x

Step-by-step explanation:

When we do y/x we can find the value of k. It gives us the constant of variation.

Answer:

24 unit

Step-by-step explanation:

From the question,

The 2 points is given as g (15,7) and h (-9,7)

The distance between two point is given as

d = √[(x₂-x₁)²+(y₂-y₁)²]...........................

Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7

Substitute these values into equation 1

d = √[(-9-15)²+(7-7)²]

d = √[(-24)²+(0)²]

d = √576

d = 24 unit.

The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.

This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.

In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.

So, the matrix A must have the following form:

A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

where each aij is a scalar.

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Answer:

x= 1

y- 5

Step-by-step explanation:

okay so you know the rules...

we need to eliminate one variable to solve this system so first...

im going to get rid of x first to do so i need to...

multiply any of the equation by negative one to get it to a positive to eliminate

-2x - 5y= -27

( -2x + 3y= 13) -1

-2x -5y= -27

2x -3y= -13   follow the rules of signed integers

we eliminate x and have this left

-5y= -27

-3y= -13    use the second rule of elimination....add the rest up

-8y= -40   divide both sides by -8

y= 5

we arent done yet we need to find the other variable

plug in y to one of the equations like this...

-2x - 5(5)= -27

-2x - 25= -27   add -25 to both sides to get the variable by itself

-2x= -2   divide both sides by -2

x= 1

Hope this helped!

Answer:

You write 75% as a decimal

which would be: 0.75

Answer:

.75 is it as a decimal

Step-by-step explanation:

When you have a percentage you always move two places to the left.

For example 67% , the decimal would be .67 ---->    _6_7% the lines are showing the two places you move. Also if you have 157% as a decimal it is 1.57 always move two places to the left no matter how big the percent is!!

A person leaves their home at noon walking toward a restaurant located 16 miles away If the person walks constantly at 2.5 miles per hour, the person arrive at the restaurant at 6:24 PM.

To determine the time it will take for the person to arrive at the restaurant, we can use the formula:

Time = Distance / Speed

Given:

Distance to the restaurant = 16 miles

Walking speed = 2.5 miles per hour

Substituting these values into the formula, we can calculate the time:

Time = 16 miles / 2.5 miles per hour

Time = 6.4 hours

Since we know the person leaves their home at noon, we can add the calculated time to noon to find the arrival time:

Arrival Time = Noon + 6.4 hours

To express the arrival time in a standard 12-hour clock format, we convert 6.4 hours into hours and minutes:

0.4 hours * 60 minutes/hour = 24 minutes

So, the person will arrive at the restaurant at approximately 6 hours and 24 minutes after noon.

Therefore, the person will arrive at the restaurant at approximately 6:24 PM.

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The cost of the fare based on the information is $16.32.

Amount for the fare = $12.75

Tip for the driver = 20% = 20% × $12.75 = $2.55

Tax rate = 8% = 8% × $12.75 = $1.02

Therefore the total amount will be:

= Cost of fare + Tip + Tax

= $12.75 + $2.55 + $1.02

= $16.32

The cost is $16.32. This illustrate the concept of addition.

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Answer:

1/2

Step-by-step explanation:

6/8-1/4

6/8-2/8

4/8

or one half

The value of six eights minus one fourth is 1/2

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

Example of expression includes; 5x -2 , 5/2 , x +y . When two ore more terms are joined with an operation,we can call it expression.

six eights = 6/8

one fourth = 1/4

Therefore

of six eights minus one fourth

= 6/8 - 1/4

= 6 - 2/8

= 4/8

divide through by 4

= 1/2

Therefore the value of 6/8-1/4 is 1/2

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Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

the third answer

5+18 *dont know if that 8 or 5 sorry*

Step-by-step explanation:

After a three-day visit to a hacienda, the student finds themselves approximately 14.2 km away from the barn, in a direction of 43 degrees south of east.

Let's break down the three days of travel. On the first day, the student walks 5 km southeast from the barn. This creates a right-angled triangle with one leg of length 5 km. On the second day, they walk 12 km in a 30-degree north-east direction. This adds another leg to the triangle, forming a parallelogram. Using trigonometry, we can determine that the second leg has a length of approximately 10.4 km. On the third day, the student walks 12 km west, which completes the triangle.

To find the total distance and direction from the barn, we can combine the lengths and directions of the three sides. By adding the horizontal components and vertical components separately, we get approximately 12 km east and 12 km south. Applying Pythagoras' theorem, the total distance from the barn is approximately 16.97 km. To find the direction, we use inverse trigonometry, which yields approximately 43 degrees south of east.  

To return to the starting point, the student needs to retrace their steps. Since the third day's walk was in the opposite direction, they need to travel a distance of approximately 12 km west. Combining this with the 10.4 km north-east component from the second day, we get a total distance of approximately 20.4 km. To find the direction, we again use inverse trigonometry, which gives us approximately 57 degrees north of west.

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

volume = length×breadth×height

3×4×4=48in cube

Answer:

Step-by-step explanation:

The letter c

Answer:

True

Step-by-step explanation:

Statistics can add credibility to speech clims when used sparingly.

name me brainiest please.

True, statistics can add credibility to speech claims when used sparingly. By incorporating accurate and relevant statistics in a speech, you can support your arguments and demonstrate your knowledge on the subject. However, it is essential to use them sparingly to avoid overwhelming the audience and maintain their interest in your message.

Statistics, when used appropriately and sparingly, can add credibility to speech claims. By incorporating relevant and reliable statistical data, speakers can support their claims with objective evidence. Statistics have the potential to provide context, demonstrate trends, or highlight the magnitude of a particular issue, thereby strengthening the credibility and persuasiveness of the speaker's arguments.

However, it is important to use statistics accurately, ensuring they are from reliable sources, properly interpreted, and presented in a clear and understandable manner. Overusing statistics or relying solely on statistical evidence without considering other forms of supporting evidence may weaken the overall impact of the speech.

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The amount that can be withdrawn from the account semi-annually for 5 years is $3,039.09. the correct option is c. $3,039.09.

We have a balance of $32,675.12 in an account paying 3.2% interest compounded semi-annually.

We have to determine the amount that can be withdrawn from the account semi-annually for 5 years.

We will assume an ordinary annuity.Let A be the amount of each payment that can be withdrawn from the account semi-annually for 5 years.

Therefore, the present value of these payments must be equal to $32,675.12.

So, $32,675.12 is equal to the present value of an annuity that pays

A semi-annually at 3.2% for 10 payments.The formula to find the present value of an annuity is:

A = P (i/1-(1+i)^-n), where P is the present value of the annuity, i is the interest rate, and n is the number of periods.

In our case,

P = $32,675.12,

i = 0.032/2

= 0.016 (interest rate compounded semi-annually),

and n = 10.

So, substituting these values in the formula above:

A = 32675.12(0.016/1-(1+0.016)^-10)

A = $3,039.09

Therefore, the amount that can be withdrawn from the account semi-annually for 5 years is $3,039.09 (rounded to the nearest cent).

Thus, the correct option is c. $3,039.09.

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Answer:

7 ^2 ⋅ 7 ^4 = 49^6

Step-by-step explanation:

7² / 7 ⁻⁴

= 7²⁻⁽⁻⁴⁾

= 7 ⁽²⁺⁴⁾

= 7⁶

= 117649

Remember :-

xᵃ / xᵇ = xᵃ⁻ᵇ

___

Hope it helps ⚜

⁽

The solution to this expression (√5 - 3√2)(√5 + 3√2) is equal to -13.

In Mathematics and Geometry, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:

a² - b² = (a + b)(a - b).

Where:

a and b represent numerical values (numbers or numerals).

Based on the information provided, we have the following mathematical expression:

(√5 - 3√2)(√5 + 3√2);

By comparison, we have the following:

(√5 - 3√2)(√5 + 3√2) = (a + b)(a - b)

a² - b² = (√5)² - (3√2)²

a² - b² = 5 - 18

a² - b² = -13.

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Answer:

12.9

Step-by-step explanation:

To solve this, you need to use the Pythagorean Theorem: a² + b² = c²

Substituting the numbers into the formula:

(9.4)² + (8.9)² = c²

(88.36) + (79.21) = c²

167.57 = c²

12.9 ≈ c

Answer:

12.9

Step-by-step explanation:

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

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Answer:

\( \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26]\)

\( \rm \: The \: operation \: 'of'\)

\( \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.\)

\( \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26]\)

\( \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26]\)

\( \rm30 ÷3 \times [37-{30÷(25-20)}-26]\)

\( \rm30 ÷3 \times [37-{30÷(5)}-26]\)

\( \rm \: 30 ÷3 [37-{30÷5}-26]\)

\(30 ÷3 [37-{6}-26]\)

\( \rm \: 30 \div 3\times [31 - 26]\)

\( \rm30 \div 3 \times 5\)

\( \rm \: 10 \times 5\)

\( \rm \: 50\)

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

Answer:

Step-by-step explanation:

y intercept is -6

the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6

the slope is positive

Some plots you can put are (6, 2) and (12, 10)

Just start at (0, -6) and counts 4 up and 3 right

The inequality is:

$45*x < $1200

Solving that we conclude that you can go at a maximum of 26 rounds and still pay less than in the season pass.

We know that a round of golf costs $45, so if you go to x of these rounds of golf, the total cost is given by the linear equations:

c(x) = $45*x

Now, the cost of a season pass is $1200, so if we want to find the number x such that the total cost of x rounds of golf is smaller than the season pass, then we need to solve the inequality:

$45*x < $1200

To solve it, we just divide both sides b $45.

x < $1200/$45 = 26.67

x < 26.67

So you can go at a maximum of 26 rounds and still pay less than in the season pass.

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3(3c + 1) = 21 is false

Answer:

3(3c + 1) = 21 is false.

Step-by-step explanation:

The equation of a line is given by the equation;

From the given graph, the intercept on y-axis is 7.

To find the slope, we would make use of the slope formula given as:

From the graph, we have:

Hence, the equation of the line is:

The age of the oldest of the five friends is 19 years and the youngest is 12 years.

The given information is in a group there are five friends, the sums of the ages of each group of four of them are 58, 59, 61, 62 and 64.

The range of a data set is the difference between smaller values and a larger value in the set.

To find the age of the oldest person

Range=oldest age -the youngest age

\(oldest=\frac{Range-youngest age}{4}\)

R=(64-58/4)+(64-59/4)+(64-61/4)+64-62/4)

R=1.5+1.241+0.75+0.5

R=3.991.

64/4=16.

O=16+3.991

Oldest=19 years.

Youngest=16-3.9=12 years.

Hence, the age of the oldest of the five friends is 19 years.

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