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3 years ago

What is the solution to the inequality shown below? 2x - 9 -4 D .x > -5

Mathematics

2 answers:

coldgirl [10]3 years ago

7 0

Answer:

$\boxed {\tt x$

Step-by-step explanation:

The inequality given is:

$2x-9 < -1$

In order to solve the inequality, we must isolate the variable, x.

9 is being subtracted from 2x. The inverse of subtraction is addition. Add 9 to both sides of the equation.

$2x-9+9 < -1+9$

$2x< -1+9$

$2x< 8$

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

$\frac{2x}{2}$

$x$

The solution to the inequality is x<4

Elden [556K]3 years ago

4 0

Answer:

x < 4

Step-by-step explanation:

2x - 9 < - 1

Add 9 to each side

2x - 9+9 < - 1+9

2x < 8

Divide each side by 2

2x /2 < 8/2

x < 4

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Mrs . Porcelli’s classroom bulletin board is 2/1/4 feet long. Ms .Smith bulletin board is 3 times as long Mrs . Porcelli’s.How l

snow_lady [41]

Answer:

$6\frac{3}{4}\ ft$

Step-by-step explanation:

we know that

To find out how long is Ms.Smith’s bulletin board, multiply Mrs . Porcelli’s bulletin board by 3

$2\frac{1}{4}(3)$

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3 years ago

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At

Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

y = 850

x = 1200 - y = 1200 - 850

x = 350

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Inessa05 [86]

Answer is C.

<span>A carpenter charges a flat fee of $150 plus $45 per hour.

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