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11Alexandr11 [23.1K]
3 years ago
13

2(x-3)=7x-31 3x-2 (x+5)=-3+18 Please show your work

Mathematics
1 answer:
vredina [299]3 years ago
3 0
2(x-3)=7x-31
2x-6=7x-31
-7x    -7x
----------------
-5x-6=-31
     +6   +6
--------------
-5x=-25
Divide by -5
x=5

3x-2(x+5)=-3+18
                     15
3x-2(x+5)=15
3x-2x-10=15
x-10=15               
 +10 +10
--------------
x=25
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Use the explicit formula an = a + (n-1). d to find the 500th term of the
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Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

8 0
3 years ago
Alexander says that 3x + 4y is equivalent to (3)(4) + xy because of any order, any grouping. Is he correct why or why not
snow_lady [41]

Answer:

Alexander is incorrect because the expressions are not equivalent.

Step-by-step explanation:

If the expression is evaluated for any value of x, y; the result will not be same.

For instance, let assume x = 1 and y = 2

3x + 4y = 3 + 4 = 7

(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14

So, the expressions are not the same and Alexander is incorrect.

3 0
3 years ago
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3 years ago
If the public debt of the United States in 2004 was $7,379,052,696,330.32 and the budget deficit in 2005 was $553,656,965,393.18
slava [35]
Since there is a shortage in the budget in 2005 by 553,656,965,393.18, the total debt that of the United States in 2005 will be the public debt by 2004 added with this deficit in the budget. Having said that, the public debt by 2004 should be equal to,
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3 0
3 years ago
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A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t
madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap =50+(\frac{20}{100}\times 50)

second lap = 50 + 10

second lap = 60\ sec

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

Third\ lap = 60 + (\frac{20}{100}\times 60)

Third\ lap = 60+2\times 6

Third\ lap = 60+12

Third\ lap = 72\ sec

Time taken for 3 laps is equal to sum of all three laps time.

Tiem\ taken\ for\ 3\ lap = 50+60+72

Tiem\ taken\ for\ 3\ lap = 182\ sec

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0
3 years ago
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