13. Ger bought a student discount card for the bus. The card cost $7 and allows him tobuy daily bus passes for $1.50 each time. After one month, Paul spent $29.50. Howmany daily bus passes did he buy?

Answer:

please write this question in English then I give answer

The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.

Now we can subtract 2/31 from 3/2:

3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.

The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.

Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.

Answer:

16.2 pounds (least accurate)

13.9 pounds (2nd least accurate)

15.10 pounds (2nd most accurate)

15.01 pounds (most accurate)

Step-by-step explanation:

I hope this helps :)

Answer:

16.2 pounds

13.9 pounds

15.10 pounds

15.01 pounds

Answer:

b) Y =5.73X +4.36

C)  =5.73225*(21)X +4.359

    124.73625

D) 163.728 = 5.73X +4.36  

     X = (163.728 - 4.36)/5.73

     X = 27.81291449

  Year would be 2027

Step-by-step explanation:

x1 y1  x2 y2

4 27.288  16 96.075

(Y2-Y1) (96.075)-(27.288)=   68.787  ΔY 68.787

(X2-X1) (16)-(4)=    12  ΔX 12

slope= 5 41/56    

B= 4 14/39    

Y =5.73X +4.36      

Answer:

17.637 ounces

Step-by-step explanation:

35.274 ounces is 1 kilogram so divide 35.274 by 2

The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

Answer:

\( S.A = 246.6 in^2 \)

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as: \( B.A + \frac{1}{2}*P*L \)

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface area

\( S.A = 81 + \frac{1}{2}*36*9.2 \)

\( = 81 + 18*9.2 \)

\( = 81 + 165.6 \)

\( S.A = 246.6 in^2 \)

Step-by-step explanation:

a=-7

d=9

n=15

we have to find a15

a(n)= a+(n-1)d

a(15)= -7+(15-1)9

a(15)= -7+126

a(15)=119

so 15 term of the sequence is 119

The 15th term in the given sequence is 119.

The given sequence is −7,2,11,…

Here, a=-7, d=9

The formula to find the nth term of the sequence is \(a_{n} =a+(n-1)d\).

Now, \(a_{15} =-7+(15-1) \times9=119\).

Therefore, the 15th term in the sequence is 119.

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Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4

The roots are 3,4

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer:

a49%, 1/2,0.55,3/5

b)0.2,1/4,27%,3/10

c)9/10,95%,0.99,97/100

d)30%,1/3,0.6,2/3

e)0.09,10%,11/100,0.125

Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

Answer:

Step-by-step explanation:

We are looking for the length of the hypotenuse of the 45° right triangle with side of 70.7 ft.

We know the equation:

Substitute and calculate:

Correct choice is B

The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.

The matrices are given by:

3a: 3[5 2]' = [15 6].

b = [7 1;5 0].

With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.

Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.

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Answer:Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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The marginal profit at the following expenditures for $8000 is 0 for $6000 is 8 for $12,000 is -16 and for $20,000 is -48.

When one more unit is produced and sold, a company or individual will make a profit known as marginal profit. The additional expense or profit made while manufacturing the next unit is referred to be marginal. Whereas marginal cost is the additional expense for manufacturing one extra unit, marginal product is the additional income received.

The difference between marginal cost and marginal product is known as marginal profit (also known as marginal revenue). Managers can utilise margin analysis to help them decide whether to increase output, reduce production, or halt production completely, a decision known as the shutdown point.

we have,

P(x)= 1000+32x - 2x²

Formula for derivative of function:

\(f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\)

Finding the derivative,

P(x+h) = 1000 + 32(x+h) - 2(x+h)²

P(x+h) = -2x² -4xh - 2h² + 32x + 32h + 1000

P(x+h) - P(x) = h(-4x - 2h + 32)

P'(x) = -4x + 32

Finding derivatives for given values of x is,

P'(8) = -4(8) + 32 = 0

P'(6) = -4(6) + 32 = 8

P'(12) = -4(12) + 32 = -16

P'(20) = -4(20) + 32 = -48

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Complete question:

The profit (in thousands of dollars) from the expenditure of x thousand dollars on advertising is given by P(x)= 1000+32x - 2x². Find the marginal profit at the following expenditures.

a. $8000

b. $6000

c. $12,000

d. $20,000

The cafe made 600 in month of April.

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:

A cafe made 3,600 in April, which Is 6 times the amount  in March.

So, let the cafe made in month of April be x

So, 6x = 3600

Divide both side by 6.

6x/6 = 3600/6

x= 600

Hence, The cafe made 600 in month of April.

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Answer: 7y + 20

Step-by-step explanation:

It says the product of 7 and y so you multiply both of them. And increase means add, so you add 20

Answer:

Estimate: 90

Quotient: 95

Remainder: 8/59

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

2+1=3

3+2=5

5+3=8

8+4=12

the number we add goes up by one every time so the answer is 12

Rounded to the nearest square kilometer, the area of the forest after 8 years will be approximately 2773 km².

To find the area of the forest after 8 years, we need to calculate the successive decreases in area over each year.

Let's denote the initial area of the forest as A₀ = 5000 km².

Each year, the area decreases by 7.5%, which means it remains at 92.5% of the previous year's area.

After 1 year, the area will be:

A₁ = A₀ - 0.075 * A₀ = 0.925 * A₀

After 2 years, the area will be:

A₂ = 0.925 * A₁ = 0.925 * (0.925 * A₀) = (0.925)² * A₀

Similarly, we can continue this process for 8 years:

A₈ = (0.925)⁸ * A₀

Now, let's calculate the final area after 8 years:

A₈ = (0.925)⁸ * A₀

≈ 0.55465 * A₀ (rounded to 5 decimal places)

To find the area in square kilometers, we multiply this value by the initial area A₀:

A₈ ≈ 0.55465 * 5000 km²

≈ 2773.25 km²

Rounded to the nearest square kilometer, the area of the forest after 8 years will be approximately 2773 km².

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