HELP ME OUT PLEASE!


The balanced scale represents the equation: 3x + 1 = x + 3 If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will balance the scale?

A) subtract one x block from the left side and subtract three numbered blocks from the left side

B) subtract one x block from the left side and subtract three numbered blocks from the right side

C) subtract one x block from the right side and subtract three numbered blocks from the left side

D) subtract one x block from the right side and subtract three numbered blocks from the right side ​

9514 1404 393

Answer:

  37.5%

Step-by-step explanation:

If the original price was $100 on Monday, then it was $80 on Tuesday. The Wednesday price of $50 is a $30 reduction from the Tuesday price, so represents a reduction of ...

  $30/$80 × 100% = 37.5%

The store reduced its prices by 37.5% from Tuesday to Wednesday.

_____

Additional comment

20% of $100 is $20. A reduction of $20 from $100 gives a Tuesday price of $80.

I believe that the answer is y=-2x +20. please correct me if I am wrong.

Answer:

14\(22424\alpha 56\beta 2\)

Step-by-step explanation:

Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

The first answer choice.

Step-by-step explanation:

Domain: Your line would continue to go left, and would go right and would stop at positive 1.

Range: Your line would continue to go up in the positive direction, and down in the negative direction, so, all real numbers.

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

2.6

Step-by-step explanation:

Answer:

\(0.8^2+1.4^2\) equals 2.6

Step-by-step explanation:

  \(0.8^2+1.4^2\)

= \(0.64+1.96\)

= \(2.6\)

Answer:

Unit rate = 81  riders/ car.

Step-by-step explanation:

Given

729 riders in 9 cars

we have to find unit rate in terms of riders per car

let the the riders per car (i.e rate) be x.

If there are 9 cars then

total no. of riders in 9 cars = no. of cars *  riders per car = 9*x = 9x

given that 729 riders in 9 cars

then

9x = 729

=> x = 729/9 = 81

Thus, riders per car =  x = 81.

Unit rate is 81 riders per car.

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

D. x+10

Step-by-step explanation:

-2x² - 16x +40 = -2(x²+8x -20) = -2(x+10)(x-2)

this is what you need?if yes than look and write

Using proportions, it is found that 663 W/m² of light passes through the roof.

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

The rule of three is:

780 W/m² - 1

x W/m² - 0.85

Applying cross multiplication:

\(x = 0.85(780) = 663\)

663 W/m² of light passes through the roof.

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Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

Answer: 40

Step-by-step explanation:

Because 36 / 0.9 = 40

4,8,12,16,20,24,28,32,36,40 that equals 100 percent

Answer:  

40  i hope this helps all of you guys!                                                        

For a quadrilateral to be a square, the diagonals must be congruent and must be perpendicular.

Answer:

h = 8.5 inches

Step-by-step explanation:

Given that,

The volume of a rectangular prism = 1374.28 inches³

The prism is 9.4 inches wide and 17.2 inches long.

We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :

V = lbh

Where

h is the height of the prism

So,

\(h=\dfrac{V}{lb}\\\\h=\dfrac{1374.28 }{9.4\times 17.2}\\\\h=8.5\ inches\)

So, the height of the prism is equal to 8.5 inches.

The equation of profit will be P = -600p² + 28,000p - 250,000. Then the maximum profit is $ 76,667 at a maximum profit price $ 23.33.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

The expense function for a widget is E = -3,000p + 250,000.

The revenue function is R = -600p² + 25,000p.

Then the profit equation is in simplified form (P =  R- E).

P = (-600p² + 25,000p) - (-3,000p + 250,000)

P = -600p² + 25,000p + 3,000p - 250,000

P = -600p² + 28,000p - 250,000

Then the maximum profit will be

Differentiate P with respect to p, then we have

P' = -1,200p + 28,000

For maximum profit P" < 0, P' = 0. Then we have

P" = -1,200

P" < 0

Then we have

                         P' = 0

-1,200p + 28,000 = 0

                 1,200p = 28,000

                          p = 23.33

Then the profit will be

P = -600(23.33)² + 28,000(23.33) - 250,000

P = -326,573.34 + 653,240 - 250,000

P = 76,666.67

P ≅ 76,667

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The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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Answer:

1/3 × 575 = 575/3

The amount of tea that is left after the student has drank is; ⁴/₅d mL

In word problems on fractions, what we do is that we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

For example;

4/7 of a number is 84. Find the number.

Since 4/7 of a number = 84

The, the Number = 84 × 7/4

Number = 147

Now, in this question, we are given;

Quantity of tea in cup = d ml

Amount of tea a student takes out to drink = ¹/₅ of the quantity in the cup.

Thus;

Amount of tea left = d - ¹/₅d

Amount of tea left = ⁴/₅d

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Answer:

6.00

Step-by-step explanation:

Use Pythagorean theorem:

c² = a² + b²

9.22² = a² + 7²

85.0 = a² + 49

a² = 36.0

a = 6.00

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

Answer:

$280

Step-by-step explanation:

7•40=$280

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

Answer:

The best conclusion that can be made based on the data on the dot plot is:

The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.

Step-by-step explanation:

Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.

The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.

The treatment group using technique A reported a mean of 8.9 words.

The treatment group using technique B reported a mean of 12.1 words.

After the data are re-randomized, the differences of means are shown in the dot plot.

The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:

The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.

Answer:

The answer is actually

-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.

*just took the test hope this helps:)*

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.