Which expression is equivalent to the answer and show work pls I am force to write it down :,)

3(x+2) = 5x-7

Simplify the left side:

3x+6 = 5x -7

Subtract 3x from both sides:

6 = 2x-7

Add 7 to both sides:

13 = 2x

Divide both sides by 2:

x = 13/2

Answer:

13/2

Step-by-step explanation:

3x+6=5x-7

6+7=5x-3x

13=2x

X=13/2

Answer:

Student 1

Student 2

a. Monthly payment for the bank's car loan is $407.67

b. Monthly payment for the savings and loan association's car loan is $315.99

c. Total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.

The cost of borrowing money, usually expressed as a percentage of the amount borrowed, is what a lender charges a borrower to use their money. This cost is known as an interest rate.

(a) To find the monthly payment for the bank's car loan, we can use the formula for the present value of an annuity:

\(PV = PMT * \frac{1 - (1 + \frac{r}{n})^{(-n*t)}}{\frac{r}{n} }\)

putting the given values,

⇒ \(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*5)}}{\frac{0.065}{12} }\)

Solving for PMT, we get:

PMT = $407.67

Therefore, the monthly payment for the bank's car loan is $407.67

(b) To find the monthly payment for the savings and loan association's car loan, we can use the same above formula:

where PV is still $21,000, PMT is the monthly payment, r is still 0.065, n is still 12, but t is now 7 years x 12 months/year = 84 payments.

putting the given values,

\(21000 = PMT * \frac{1 - (1 + \frac{0.065}{12})^{(-12*7)}}{\frac{0.065}{12} }\)

Solving for PMT, we get:

PMT = $315.99

Therefore, the monthly payment for the savings and loan association's car loan is $315.99.

(c) Bank's car loan: $407.67 x 60 = $24,460.20

Savings and loan association's car loan: $315.99 x 84 = $26,495.16

Therefore, the bank's car loan would have the lowest total amount to pay off, by: $26,495.16 - $24,460.20 = $2,034.96

Therefore, the total amount paid would be $2,035 less for the bank's car loan than for the savings and loan association's car loan.

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Frequency is the number of occurrences of a repeating event.

The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.

The information that is gathered is called data. The quantity of occurrences of an event or value is referred to as its frequency. A frequency table is a table that lists items and displays how frequently each item happens.

The number of times a specific data value occurs is the frequency of that data. We use f to symbolise the frequency of a data value.

As an illustration, the grade A is said to occur frequently if five students received an A in science.

Here we have the events:

shopping time between occurrences frequency

18 to 22: 20, 18 2

23 to 27: 27, 24, 26, 24, 24 5

28 to 32 29, 31 2

33 to 37 37, 34, 35, 33, 36, 32 6

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The simplification form of the provided expression is 6/5x¹⁰ option first is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

\(\rm = \sqrt{\dfrac{72x^{16}}{50x^{36}}}\)

\(\rm = \sqrt{\dfrac{72}{50}} \sqrt{\dfrac{x^{36}}{x^{16}}}\)

\(\rm = \sqrt{\dfrac{36\times2}{25\times2}} \sqrt{\dfrac{x^{36}}{x^{16}}}\)

\(\rm ={\dfrac{6x^{8}}{5x^{18}}}\)

\(\rm ={\dfrac{6}{5x^{10}}}\)

Thus, the simplification form of the provided expression is 6/5x¹⁰ option first is correct.

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Answer:

6x3

Step-by-step explanation:

Edge 2023

The final answer is (a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴.

Pascal's Triangle is a useful tool in expanding binomial expressions, which is a fundamental concept in algebra. For example, let's expand (a+b)⁴ using Pascal's Triangle.

Step 1: Write out Pascal's Triangle to the 4th row, as follows:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

Step 2: Write out the coefficients in the binomial expression (a+b)⁴:

(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

Step 3: Substitute the coefficients from Pascal's Triangle into the binomial expression:

(a+b)⁴ =  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

=  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

= 1(a⁴) + 4(a³b) + 6(a²b²) + 4(ab³) + 1(b⁴)

= (1)(a⁴) + (4)(a³)(b) + (6)(a²)(b²) + (4)(a)(b³) + (1)(b⁴)

Step 4: Simplify the expression to get the final answer:

(a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴

Notice how the coefficients of each term in the expanded expression (1, 4, 6, 4, 1) correspond to the fourth row of Pascal's Triangle. Pascal's Triangle provides a quick and easy way to determine the coefficients of a binomial expansion for a given power of the binomial expression.

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The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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let's solve for x :

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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The slope intercept form of the equation is given as y = 0.75x + 1.75

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is the cost per taco, which is $0.75. The y-intercept (b) is the cost of the drink, which is $1.75.

So, the equation that represents the total cost (y) for x number of tacos and a drink is:

y = 0.75x + 1.75

This equation states that for every taco ordered (x), the cost will increase by $0.75, and the minimum cost will always be $1.75 for the drink.

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Answer:

When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

Step-by-step explanation:

\(3(n+1)=5.4\)

Expand ; 3(n+1)

\(3(n+1) =3n +3\\\\3n+3 =5.4\)

Collect like terms and simplify

\(3n =5.4-3\\3n=2.4\)

Divide both sides of the equation by 3

\(\frac{3n}{3} = \frac{2.4}{3} \\\\n = 0.8\)

Answer:

The value of n is 0.8 .

Step-by-step explanation:

First, you have to expand to get rid of brackets :

\(3(n + 1) = 5.4\)

\(3n + 3 = 5.4\)

Next, you have to subtract 3 on both sides to remove 3 at the left side :

\(3n + 3 - 3 = 5.4 - 3\)

\(3n = 2.4\)

Lastly, you have to divide 3 on both sides :

\(3n \div 3 = 2.4 \div 3\)

\(n = 0.8\)

Answer:

25% is greater then -25.

Step-by-step explanation:

-25 is in the negiatives, and is to the left of 0. Anything to the left of 0 will be less then anything on the right of 0. :D

-25% will always be less than 25% because a negative number, being less than 0, will always be less than a positive number, being greater than 0.

Thus, -25% is less than 25% or 25% is greater than -25%

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Step-by-step explanation:

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°.

The first net represented the flowers box.

Dimensions in mathematics are the measurements of the size or distance of an object or region or spaces in one Direction. In simple terms-, it is the measurements of to the lengths, width, and heights of anything's. Dimensions are generally expresses as: Lengths. Breath.

This questions doesn't involved any sorts of comparisons of the dimensions. If you're  taken a look, the two figured are perfectly similarly, besides the fact that the seconds one has an additional to one of the rectangular sides of the net.

The first figure, if you weren't to imagined, would form a box without a top. The seconds figures has that one attachments to one of the rectangular side's such that it is, in factory the top.

But this flowers box doesn't have- a top, provides that it is filled with flower's inside.

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Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

Answer:

50ft!

Step-by-step explanation:

The smallest length of streamer that will go around the entire perimeter of the room is equal to the perimeter of the room. To find the perimeter, we add the lengths of each side of the room. Not all of the walls are labelled with a length, so we need to find these missing lengths before we can add. If we look at the bottom of the room, we can see that the total width must be 8′+2′+2′=12′.

Now that we know the width of the room, we can find the diameter of the half- circle section on the top. The diameter is the total length minus the 6′ and 2′ foot sections to the right. Therefore, the diameter of the half- circle is 12′−6′−2′=4′ and the radius is 2′. The circumference of a circle is 2′⋅πr but we only have half of a circle so the circumference of the half- circle is half of 2πr or just πr. Substituting r=2′ results in πr=2π≈6.28′.

To find the length of the long wall on the right we subtract the 2′ section at the top, from the length of the side, which is 10′. Therefore, the long wall on the right is 8′.

Now we need to find the circumference or perimeter of the circle. The fully labelled dimensions are below.

A geometric figure.

Staring in the lower left vertex, a figure has a side that goes up 10 feet, has a semicircle going to the right with a radius of 2 feet, goes to the right 6 feet, down 2 feet, right 2 feet, down 8 feet, left 2 feet, up 2 feet, left 2 feet, down 2, feet, left 8 feet back to the original point.

Therefore, the perimeter of the room is

6.28′+6′+2′+2′+8′+2′+2′+2′+2′+8′+10′=50.28′

which we'll round to 50′.

50 feet is the smallest length of streamer that will go around the entire perimeter of the room

The area of Rectangle is length times of width.

We have to find the perimeter of each shape in the given figure and add them to get the length of streamer.

To find the perimeter firstly we have to find the missing lengths in the figure

The figure has rectangle, squares and semicircle.

We have to find all the perimeters.

Staring in the lower left vertex, a figure has a side that goes up 10 feet, has a semicircle going to the right with a radius of 2 feet, goes to the right 6 feet, down 2 feet, right 2 feet, down 8 feet, left 2 feet, up 2 feet, left 2 feet, down 2, feet, left 8 feet back to the original point.

Therefore, the perimeter of the room is

6.28′+6′+2′+2′+8′+2′+2′+2′+2′+8′+10′

=50.28′

Hence, 50 feet is the smallest length of streamer that will go around the entire perimeter of the room

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Answer:

(f + g)(x) = 3x + 6

Step-by-step explanation:

Brainliest?

Answer:

Step-by-step explanation:

You use the distance formula

d = √ (x1-x2) ² + (y1- y2) ²

d = √ (2 - (-3)) ² + (1 - 2) ²

d = √ (25 + 1)

d = √26

d = 5.2

Answer:

The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Probability helps us to know the chances of an event occurring. The number of times Tamika should expect the spinner to land on green or yellow is 60.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Total number of sections on the spinner = 5

Number of sections with green or yellow sections = 2

Number of trials = 150

Now, the number of times Tamika should expect the spinner to land on green or yellow is,

Expected Number of lands on green or yellow = 150 × (2/5) = 60

Hence, the number of times Tamika should expect the spinner to land on green or yellow is 60.

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Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).