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gayaneshka [121]
3 years ago
12

Solve the inequality -2/11 j _< 8

Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j.  Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

Anuta_ua [19.1K]3 years ago
3 0

Answer:

j\geq -44

Step-by-step explanation:

The inequality given is:

\frac{-2}{11}j\leq 8

To solve the inequality, we must get the variable <em>j </em>by itself.

<em>j</em> is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.

Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.

\frac{-2}{11} --> \frac{-11}{2}

Multiply both sides of the equation by -11/2.

\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}

j\leq 8*\frac{-11}{2}

Since we multiplied by a negative number, we must flip the inequality sign.

j\geq 8*\frac{-11}{2}

Multiply 8 and -11/2

j\geq 8*-5.5

j\geq -44

The solution to the inequality is: j\geq -44

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5 0
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3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4
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Answer

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Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

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In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

5 0
3 years ago
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