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Korolek [52]
3 years ago
10

In a particular​ year, a total of 40 comma 285 students studied in two of the most popular host countries when traveling abroad.

If 8495 more students studied in the most popular host country than in the second most popular host​ country, find how many students studied abroad in each country.?
Mathematics
1 answer:
klasskru [66]3 years ago
6 0

Answer: 2nd most popular country =  15895 students

most popular country = 24390 students

Step-by-step explanation:

Total students: 40,285

2nd most popular country = x students

most popular country = x + 8,495 students

x + x + 8495 = 40285

2x + 8495 = 40285

2x = 40285 - 8495

2x = 31790

x = 15895

2nd most popular country = x = 15895 students

most popular country = x + 8,495 = 15895 + 8,495 = 24390 students

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8_murik_8 [283]

Answer:

c=8+3.75x, where:

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Step-by-step explanation:

From the information given, the cost to go to the ice skating ring is equal to the cost to rent ice skates plus the result of multiplying the cost to skate per hour for the number of hours and the equation would be:

c=8+3.75x, where:

c is the cost to go to the ice skating ring

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8 0
2 years ago
Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits
Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

7 0
3 years ago
What is the quotient (7x^(2))/(2x+6)-:(3x-5)/(x+3)
Irina18 [472]

Answer:

5.525

Step-by-step explanation:

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2. 49x / 8x - (-2x) / 3x Solve Bold

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3. 6.125 - .6 Solve Bold

Answer: 5.525

5 0
2 years ago
What is the constant of proportionality, and what method did you use to determine this?
atroni [7]

Answer:

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Step-by-step explanation:

hope this helps :)

8 0
2 years ago
M/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x​
Nina [5.8K]

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

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Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

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Combine like terms:

(135x + 26x) = 161

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Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

~

x = 161/161 = 1

5 0
2 years ago
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