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Natalka [10]
3 years ago
15

Solve this linear equation 2(x+6)<3x+8

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

x > 4

Step-by-step explanation:

Given

2(x + 6) < 3x + 8 ← distribute left side

2x + 12 < 3x + 8 ( subtract 3x from both sides )

- x + 12 < 8 ( subtract 12 from both sides )

- x < - 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x > 4

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You have to make the lines or the boxes go by 2 not by 1

Step-by-step explanation:

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3 years ago
Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year
MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

0.11x + 0.06y = 643 - - - - - - - - - -1

Substituting x = 6300 - y into equation 1, it becomes

0.11(6300 - y) + 0.06y = 643

693 - 0.11y + 0.06y = 643

- 0.11y + 0.06y = 643 - 693

- 0.05y = - 50

y = - 50/ - 0.05

y = 1000

x = 6300 - y = 6300 - 1000

x = 5300

7 0
3 years ago
What is −7−4p−(−5) ??
kogti [31]

Answer:

Step-by-step explanation:

−7−4p+5

−4p+(−7+5)

Ans  

−4p−2

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3 years ago
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yulyashka [42]

Answer:

Undefined

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m = (12 − -8) / (-6 − -6)

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The slope is undefined.

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3 years ago
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