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3 years ago

How many solutions are there to 17-1/9x=10

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

one solution

Step-by-step explanation:

Given

17 - $\frac{1}{9}$ x = 10 ( subtract 17 from both sides )

- $\frac{1}{9}$ x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

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3 years ago

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Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

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The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

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Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

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Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

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2 years ago