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mezya [45]
3 years ago
12

Steven converted $1,000 to ×105,000 for a trip to Japan. However, he spent only ×50,000. During this period, the value of the do

llar weakened against the yen. Considering a current exchange rate of $1 = ×100, how many dollars did Steven spend on the trip? A. $550B. $523C. $450D. $600E. $500
Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

E

Step-by-step explanation:

We were told Steven spent an amount of 50,000. Although the value of the dollar against the yen has changed. So therefore, to calculate the amount of money he spent, we would be needing to divide the amount he spent over the present exchange rate of the dollars to yen.

We then divide the 50,000 by 100 and that equals $500.

Hence, the amount of money spent by Steven is simply $500

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You walk 3 mi/h for 0.75h and 2.5mi/h for 2h. what is your average speed over the total distance? ​
Andre45 [30]

Answer:

Step-by-step explanation:

Total distance = 3 + 2.5 = 5.5mi/h

Total time = 0.75h + 2hr = 2. 75 hr

Average speed = 5.5 / 2.75 = 2

3 0
3 years ago
Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W
Serhud [2]

The coordinates of the vertex W are (5 , -1)

Step-by-step explanation:

In the parallelogram, the diagonal bisect each other

To find a missing vertex in a parallelogram do that:

  • Find the mid-point of a diagonal whose endpoints are given
  • Use this mid-point to find the missing vertex
  • The mid point rule is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ WXYZ is a parallelogram

∴ Its diagonals are WY and XZ

∵ The diagonal bisect each other

- That mean they have the same mid-point

∴ They intersect each other at their mid-point

∵ x = (-2 , -3) and z = (7 , 7)

∴ x_{1} = -2 and x_{2} = 7

∴ y_{1} = -3 and y_{2} = 7

- Substitute them in the rule of the mid point to find the

   mid-point of XZ

∴ M_{XZ}=(\frac{-2+7}{2},\frac{-3+7}{2})=(2.5 , 2)

∴ The mid-point of diagonals WY and XZ is (2.5 , 2)

Let us use it to find the coordinates of vertex W

∵ W = (x , y) and Y = (0 , 5)

∴ x_{1} = x and x_{2} = 0

∴ y_{1} = y and y_{2} = 5

- Equate 2.5 by the rule of the x-coordinate of the mid-point

∵ 2.5=\frac{x+0}{2}

- Multiply both sides by 2

∴ 5 = x + 0

∴ 5 = x

∴ The x-coordinate of point W is 5

- Equate 2 by the rule of the y-coordinate of the mid-point

∵ 2=\frac{y+5}{2}

- Multiply both sides by 2

∴ 4 = y + 5

- Subtract 5 from both sides

∴ -1 = y

∴ The y-coordinate of point W is -1

The coordinates of the vertex W are (5 , -1)

Learn more:

You can learn more about the mid-point in brainly.com/question/10480770

#LearnwithBrainly

4 0
3 years ago
Determine whether the ratios 9/15 and 6/10 form a proportion.
lesantik [10]
The ratio 9/15 and 6/15 form a proportion
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3 years ago
Enita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus
sattari [20]

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

<h3>Greatest common factor</h3>

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Learn more on GCF here; brainly.com/question/219464

#SPJ1

8 0
2 years ago
Intrinsic motivation reflects desires that others have. True or false
Galina-37 [17]
False. Intrinsic motivation is a reflection that needs to do something.
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3 years ago
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