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podryga [215]
3 years ago
10

Three consecutive even integers are such that the sum of the smallest and three times the second is 38 more than twice the third

. Find the integers.
Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

x,\ x+2,\ x+4-\text{the three consecutive even integers}\\\\\text{The equation}\\\\x+3(x+1)=2(x+4)+38\ \ \ \ |\text{use distributive property}\\\\x+3x+3=2x+8+38\\\\3x+3=2x+46\ \ \ \ |-3\\\\3x=2x+43\ \ \ \ |-2x\\\\x=43\\x+2=45\\x+4=47

algol133 years ago
6 0

Answer:

20, 22, 24

Step-by-step explanation:

since the integers are even: x, x+2, x+4

x+3(x+2)=38+2(x+4)

x+3x+6=38+2x+8

4x+6=46+2x

2x=40

x=20

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A foreign country uses the stellar as its currency. Before a trip to that​ country, Jon wants to exchange ​$1,200 to stellars. W
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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the conversion rate for both banks is not given.

However, I'll make the following assumptions.

Bank A: $80 for 392 stellars

Bank B: $50 for 240 stellars

Solving (a) Bank with better conversion rate.

First, we need to calculate the unit rate.

Unit Rate = Dollar/Stellar

For Bank A:

Unit Rate = 392/80

Unit Rate = 4.9 Stellars to $1

For Bank B:

Unit Rate = 240/50

Unit Rate = 4.8 Stellars to $1

The bank with higher unit rate has a better exchange rate.

Hence, bank A has a better exchange rate.

Solving (b): How much more will he get if $1200 is exchanged

For Bank A:

$1 = 4.9 Stellars

Multiply both sides by 1200

$1 * 1200 = 4.9 * 1200 Stellars

$1200 = 5880 Stellars

For Bank B:

$1 = 4.8 Stellars

Multiply both sides by 1200

1200 * $1 = 4.8 * 1200 Stellars

$1200 = 5760 Stellars

Calculate their difference

Difference = 5880 - 5760

Difference = 120 Stellars

Hence, he'll get 120 more Stellars if he exchanged with bank A.

8 0
3 years ago
the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first numbe
HACTEHA [7]

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

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9x/9=63/9

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3 years ago
25% of 60 75% of 30 50% of 45.7<br> 50% of 60 100% of 22.5<br> 75% of 60 10% of 22.5
alexdok [17]

Answer:

25% of 60 is 15

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Step-by-step explanation:

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2 years ago
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IgorLugansk [536]
That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

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C=B+(20,0)

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Answer:

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Step-by-step explanation:

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