find x and y

please help i don’t understand this !

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer: He will need 1 1/4 cups of butter

Step-by-step explanation:

1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2

2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.

Joaquin requires 5.25 cups of butter to serve 28 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.

Let the quantity of butter required for the new recipe be x.

To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,

we can use the ratio of 28/8.

So, 8:1.5::28:x

⇒ 8x = 42

⇒ x = 5.25

Hence, Joaquin requires 5.25 cups of butter to serve 28 people.

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Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

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Answer:

60

Step-by-step explanation:

180 - 120 = 60

The probability that the randomly selected student  will chose running  can be written as  12/57.

The concept used is the probability which is the likelyhood of an event to take place.

Total number of students was given as  57

Total number of boys  that was given was  26

Total number of girls  can be written as 57-26=31`

Number of Girls that chose football  can be written as 15

Number of boys that chose football  can be wriitten as  9

Number of students that chose Tennis can be written as  18

Now, number of students that chose running will be;

Number of students that chose running = 57 - (24 + 18) = 15

Therefopre, probability that a randomly selected student chose running = 15/57

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Answer:

y=30x

Step-by-step explanation:

the slope would be the change in height/time so 150/5 which is 30feet/sec

thus using the form y=mx+b and assuming the balloon started on the ground (0) then y=30x

Answer:

Step-by-step explanation:

the answers 3452

Answer:

544

Step-by-step explanation:

Step-by-step explanation:

1.

2×sqrt(10) = 6.32455532...

sqrt(36) = 6

2 2/5 = (10 + 2)/5 = 12/5 = 2.4

6.1222222222...

so, the order

2 2/5 6 6.12222... 6.32455...

3.

-sqrt(25) = -5

-4.2

sqrt(5)/6 = 0.372677996...

7/2 = 3.5

so, the order

-sqrt(25) -4.2 7/2 sqrt(5)/6

5.

the numbers are all there already.

so, the order

-3.1 -2.1 1.4 2.7

when you look at the number lines, when your mark the numbers, you will see it clearly.

be careful with the negative numbers : "bigger" is actually smaller (more to the left).

-4.2 is left of -4 ! going in the directing of -5.

-3.1 is left of -3 ! going in the direction of -4.

-2.1 is left of -2 ! going in the direction of -3.

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

absolute minimum = -749 and

absolute maximum = 467

Step-by-step explanation:

To get the absolute maximum and minimum of the function, the following steps must be followed.

First, we need to find the values of the function at the given interval [-4, 5].

Given the function f(x) = 6x³ − 9x² − 216x + 3

at x = -4;

f(-4) = 6(-4)³ − 9(-4)² − 216(-4) + 3

f(-4) = 6(-64) - 9(16)+864+3

f(-4) = -256- 144+864+3

f(-4) = 467

at x = 5;

f(5) = 6(5)³ − 9(5)² − 216(5) + 3

f(5) = 6(125) - 9(25)-1080+3

f(5) = 750- 225-1080+3

f(5) = -552

Then we will get the values of the function at the crirical points.

The critical points are the value of x when df/dx = 0

df/dx = 18x²-18x-216 = 0

18x²-18x-216 = 0

Dividing through by 18 will give;

x²-x-12 = 0

On factorizing the resulting quadratic equation;

(x²-4x)+(3x-12) = 0

x(x-4)+3(x-4) = 0

(x+3)(x-4) = 0

x+3 = 0 and x-4 = 0

x = -3 and x = 4 (critical points)

at x  = -3;

f(-3) = 6(-3)³ − 9(-3)² − 216(-3) + 3

f(-3) = 6(-27) - 9(9)+648+3

f(-3) = -162-81+648+3

f(-3) = 408

at x = 4

f(4) = 6(4)³ − 9(4)² − 216(4) + 3

f(4) = 6(64) - 9(16)-864+3

f(4) = 256- 144-864+3

f(4) = -749

Based on the values gotten, it can be seen that the absolute minimum and maximum are -749 and 467 respectively

Answer:

24√3

Step-by-step explanation:

the area = 6× (½×4×2√3)

= 6× (4√3)

= 24√3

Answer:

24 sqrt 3

give other person brainliest! :P

Answer:

y = 0.8x + 0.5

Step-by-step explanation:

First, find the slope using two pairs of values, (0.5, 0.9) and (0.75, 1.1):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1.1 - 0.9}{0.75 - 0.5} = \frac{0.2}{0.25} = 0.8 \)

m = 0.8

Find y-intercept, b, by substituting x = 0.5, y = 0.9 and m = 0.8 into y = mx + b

Thus:

0.9 = (0.8)(0.5) + b

0.9 = 0.4 + b

0.9 - 0.4 = b

b = 0.5

To write the equation substitute m = 0.8, and b = 0.5 into y = mx + b.

Thus:

y = 0.8x + 0.5

Answer:

3

Step-by-step explanation:

Answer:

1+78=133

1=133-78

1=55

Answer:

y < 3

Step-by-step explanation:

2y + 1 < 7

~Subtract 1 to both sides

2y < 6

~Divide 2 to both sides

y < 3

Best of Luck!

The table and graph that represents the equation y = 3x are:

Table A

Graph B.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

y = 3x

This means,

For x = 0, 1, 2, 3,

y = 0, 3, 6, 9

Now,

The coordinates on the graph of the equation y = 3x will have:

(0, 0), (1, 3), (2, 6), and (3, 9)

We see that,

Graph A has the coordinates:

(0,3).

This is not possible.

And,

Table B has y = 1 when x = 3.

This is not possible.

Thus,

The table and graph that represents the equation y = 3x are table A and graph B.

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There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that there are five different tables in the class and five students

Each table can be occupied by only one student

There are 200 days of studying years.

As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.

5×4×3×2×1 = 120

There are 120 different places to sit, if they all sit on separate tables.

5×5×5×5×5 = 3,125

There are 3,125 different places to sit if they don't mind sharing s desk sometimes.

Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.

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After answering the presented question, we may conclude that  the solution of the expressions are as follows.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

the solution of the expressions are as follows -

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Answer:

\(48x^{13}\ ft^2\)

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

\((8x^6) * (6x^7)\)

\(((8*6)(x^6*x^7))\)

\((48*x^{6+7})\)

\(48x^{13}\)

Answer:  \(48x^{13}\ ft^2\)

we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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Answer:

x = .5, - 1.5

Step-by-step explanation:

4x^2 + 4x =3

To solve for x, we can complete the square.

4 ( x^2 + x) = 3

x^2 + x = 3/4

Take the coefficient of x, divide by 2, and square.

(1/2)^2

Then add to each side.

x^2 + x + 1/4= 3/4 +1/4

(x+1/2) ^2 = 1

Take the square root of each side.

x+1/2 = ±1

x = ±1 -1/2

x = 1-1/2  or -1-1/2

x = 1/2, -3/2

x = .5, - 1.5

Answer:

x = 1/2   or   -3/2

Step-by-step explanation:

Rewrite in Standard Form:

4x²+4x=3 ==>  4x²+4x-3=0

Identify:  a=4   b=4   c= -3

Quadratic Formula:

\(x=\frac{-b+\sqrt{b^2-4ac}}{2a} or \frac{-b-\sqrt{b^2-4ac}}{2a}\\ \\=\frac{-4+\sqrt{4^2-4(4)(-3)}}{2(4)} or \frac{-4-\sqrt{4^2-4(4)(-3)}}{2(4)}\\\\=\frac{-4+\sqrt{16+48}}{8} or \frac{-4-\sqrt{16+48}}{8}\\\\=\frac{-4+\sqrt{64}}{8} or \frac{-4-\sqrt{64}}{8}\\\\=\frac{-4+8}{8} or \frac{-4-8}{8}\\\\=\frac{4}{8} or \frac{-12}{8}\\\\=\frac{1}{2} or -\frac{3}{2}\)

Answer:91.875

Step-by-step explanation:

A pound contains 16 ounces

1 gram contains 1000mg

1.47*1000=1470

Which means 1 pound contains 1470 mg

1 ounce contains 1470/16 =91.875 mg

Answer:

an=6+6(n-1)

Step-by-step explanation:

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

70 stones

Step-by-step explanation:

since there are 40 seashells represented by 4 in the ratio

you can do 7 times 10 and that equals 70.