Date Exchange Rate
October 8, 1982 267.38 Yen = 1 US dollar
June 30, 1995 84.90 Yen = 1 US dollar
a. Determine the cost, in US dollars, for a souvenir that cost 3,500 Yen
on October 8, 1982. Show your work in the provided space.

Answer:

2x-1>5

2x>5+1

2x>6

Divide both sides by two

x>3

Answer:

Option 3 is the right answer.

Step-by-step explanation:

2x - 1 ≥ 5

2x ≥ 6

x ≥ 3

x is greater than or equal to 3. Hence, the correct option that represents that inequality is graph 3.

i hope this helps and is right! p.s. i really need brainliest :)

Answer:

To subtract or add a fraction you must first find a common deniminator between the two.

you can use 10 as a common denomonator in this case.

3 x 2 = 6

5 x 2 = 10

your new fraction to replace 3/5 is 6/10

Now, your equation would be 7/10 - 6/10 = 1/10

Your answer is 1/10

Answer:

The answer is letter A.

y<9/4x+2

Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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Answer:

graph D.

Step-by-step explanation:

The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by  a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.

Answer:

87

Step-by-step explanation:

number of sausage buns = s

number of custard buns = c

at the start of the day, s = c

at the end of the day

c+27=6(s-68)

since c = s,

s+27=6(s-68)

s+27=6s-408

-5s = -435

s=87

Let us represent:

The number of sausages baked at first =  s

The number of custard buns baked at first =  c

       s - 68

        c + 27

Hence:

c + 27 = 6 (s - 68)

c + 27 = 6s - 408

        c = s

Hence,

c + 27 = 6s - 408

s + 27 = 6s - 408

Collect like terms

408 + 27 = 6s - s

435 = 5s

Divide both sides by 5

435/5 = 5s/5

s = 87

Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.

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Answer: 10

Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by

Answer:

Step-by-step explanation:

The first term of the sequence is u₁ = 2.

In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. Let's denote the first term as u₁ and the common ratio as r.

Given information:

u₂ = 6

u₆ = 486

We can use the formula for the nth term of a geometric sequence:

uₙ = u₁ x r^(n-1)

Plugging in the values for the second term (n = 2) and the sixth term (n = 6), we get:

u₂ = u₁ x r²⁻¹ = u₁ x r

u₆ = u₁ x r⁶⁻¹ = u₁ x r⁵

We can set up a system of equations with these two equations:

u₂ = 6 --> u₁r = 6 ...(1)

u₆ = 486 --> u₁ r⁵ = 486 ...(2)

Dividing equation (2) by equation (1), we get:

(u₁r⁵) / (u₁r) = (486) / 6

Simplifying the equation:

r⁴ = 81

Taking the fourth root of both sides:

r = √(81)

Therefore,

u₁ = 6/3

u₁ = 2.

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Answer:

(3/2, -1/2)

Step-by-step explanation:

add the 2 inequalities together.

you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

20 miles = 1 gallon of gas

3 3/4 = 15/4

12/4 = 3 = 3 x 20 = 60 miles

3/4 of 20 = 15 miles

60 + 15 = 75 miles

Answer:

37

Step-by-step explanation:

If the current temp is -37, than you would need to increases the temp by 37 to get back to 0 degrees f

Answer:

c. We are 95% confident that the average taxi fare between Logan Airport and downtown Boston will fall between $20.51 and $24.21.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

95% confidence interval of [$20.52, $22.48].

We can be 95% sure that the true mean amount of taxis fares in downtown Boston is in this interval, and thus, the correct answer is given by option C.

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

c. 48 packages

d. Possibilities:

1 x 28 = 28

2 x 14 = 28

4 x 7 = 28

7 x 4 = 28

14 x 2 = 28

28 x 1 = 28

Possible combinations:

17, 1, 28

17, 2, 14

17, 4, 7

17, 7, 4

17, 14, 2

17, 28, 1

Step-by-step explanation:

c. 127 employees get 3 uniforms each, meaning a total of 127 * 3 = 381 uniforms

The uniforms come in packs of 8, so dividing 381 by 8, we get:

381/8 = 47.625

However, you probably can't order a portion of a package, so you must round up to 48 packages. There will be 3 uniforms left over.

d. The divisors of 28 are 1, 2, 4, 7, 14, and 28. All I did was enumerate the six possibilities.

Answer:

\(\frac{19}{6}\)

Step-by-step explanation:

3\(\frac{1}6}\)

\(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{6}{6}\) + \(\frac{1}{6}\)              \(\frac{6}{6}\) is another name for 1  How many 6th's do we have?

\(\frac{19}{6}\)

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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Answer:

w = 3, x = -35/2, y = 8, z = -1

Step-by-step explanation:

Solve the following system:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{-4 w = -12

In the fourth equation, look to solve for w:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{-4 w = -12

Divide both sides by -4:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{w = 3

Substitute w = 3 into the first, second, and third equations:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z + 12 = 8

{w = 3

In the third equation, look to solve for z:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z + 12 = 8

{w = 3

Subtract 12 from both sides:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z = -4

{w = 3

Divide both sides by 4:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{z = -1

{w = 3

Substitute z = -1 into the first and second equations:

{-4 y - 2 x - 8 = -5

{y = 8

{z = -1

{w = 3

Substitute y = 8 into the first equation:

{-2 x - 40 = -5

{y = 8

{z = -1

{w = 3

In the first equation, look to solve for x:

{-2 x - 40 = -5

{y = 8

{z = -1

{w = 3

Add 40 to both sides:

{-2 x = 35

{y = 8

{z = -1

{w = 3

Divide both sides by -2:

{x = -35/2

{y = 8

{z = -1

{w = 3

Collect results in alphabetical order:

Answer: {w = 3, x = -35/2, y = 8, z = -1

For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

As given in the question,

Rules to round of nearest thousand are:

Check the near by hundred digit :

Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:

 Events                                         Nearest thousand

Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer:

A=2(LW+LH+WH)

Step-by-step explanation:

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

Rounding the difference to the nearest dollar, the correct difference in total cost between the two mortgages is $177,910.

To calculate the difference in total cost between the adjustable rate mortgage (ARM) and the fixed-rate mortgage (FRM), we need to calculate the total payments for each mortgage and compare them.

For the adjustable rate mortgage, we have the following payments:

Years 1-5 (at 4% interest rate):

Monthly payment: $2,506.43

Total payments: $2,506.43 * 12 * 5 = $150,385.80

Years 6-15 (at 6% interest rate):

Monthly payment: $3,059.46

Total payments: $3,059.46 * 12 * 10 = $367,135.20

Years 16-25 (at 8% interest rate):

Monthly payment: $3,464.78

Total payments: $3,464.78 * 12 * 10 = $415,773.60

Years 26-30 (at 10% interest rate):

Monthly payment: $3,630.65

Total payments: $3,630.65 * 12 * 5 = $217,839.00

Total payments for the ARM: $150,385.80 + $367,135.20 + $415,773.60 + $217,839.00 = $1,151,133.60

For the fixed-rate mortgage at 4.65% interest rate, we need to calculate the monthly payment using a loan calculator or formula. Assuming a 30-year term, we have:

Loan amount: $525,000

Interest rate: 4.65%

Term: 30 years

Using a mortgage calculator, the monthly payment for the FRM is calculated to be $2,703.40.

Total payments for the FRM: $2,703.40 * 12 * 30 = $973,224.00

To find the difference in total cost, we subtract the total payments of the FRM from the total payments of the ARM:

Difference = Total payments of ARM - Total payments of FRM

         = $1,151,133.60 - $973,224.00

         = $177,909.60

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The question probable may be:

A $525,000 adjustable rate mortgage is expected to have the following payments:

Year Interest Rate Monthly Payment

$2,506.43

$3,059.46

$3,464.78

$3,630.65

1-5 4%

6-15 6%

16-25 8%

26-30 10%

A fixed-rate mortgage in the samount is offered with an interest rate of 4.65%.

What is the difference in the folar cost between the two mortgages, rounded to the nearest dollar?

A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.

A. $176,580

B. $878,626

C. $158,184

D. $394,911

E. $177,910.