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2 years ago

You have $25 to buy 6 fishing lures. Write and solve an inequality that represents the prices you can pay per fishing lure.

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

We are given that we have $25 to pay for 6 fishing lures.

We can make an equality for this as follows:

Suppose price of one fishing lure is x dollars.

So we will use unitary method to find price of 6 fishing lures.

Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x

Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.

So creating an inequality,

$6x\leq25$

Now in order to find price for one fishing lure, we have to solve this for x.

Dividing both sides by 6 we have,

$x\leq\frac{25}{6}$

Converting to decimal,

$x\leq4.167$

Answer : The price of one fishing lure must be less than or equal to $4.167

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LAN mailed a package that weighed 5.63 pounds . what is the first step in rounding this number to the nearest tenth? what is the

ankoles [38]

For this case we must follow the following rules of rounding

1) If the previous number is greater than or equal to five, then the next number increases by one unit

2) If the previous number is less than five, then the next number stays the same

Therefore, the steps for rounding to the nearest tenth is:

1) We observe that 3 is less than 5.

2) Therefore, the next number stays the same

Rounding to the nearest tenth is:

5.6

Answer:

1) We observe that 3 is less than 5.

2) Therefore, the next number stays the same

5.6

7 0

2 years ago

Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X

eduard

Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

Then we get following equations:

First part

x - 50 = 3/7(y + 50)
7x -350 = 3y + 150
7x = 3y + 500

Second part

x + 100 = 4(y - 100)
x + 100 = 4y - 400
x = 4y - 500

Substitute x in first equation:

7(4y - 500) = 3y + 500
28y - 3500 = 3y + 500
28y - 3y = 500 + 3500
25y = 4000
y = 4000/25
y = 160 ml

Then finding x:

x = 4*160 - 500
x = 640 - 500
x = 140 ml

Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml

4 0

3 years ago

The lines intersect at point C. What is the value of x? A. 159 B. 100 C. 80 D. 21

KIM [24]

I would say B, but do you have a graph to show? I'm confused.

3 0

3 years ago

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

kifflom [539]

Good night,

Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

The above numbers can be expressed as a fraction, then the logical answer is: $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

6 0

3 years ago

Your friend says that the solutions to the inequality 5x - 14x < - 18 are x ≤2. Solve the inequality correctly. What error di

katrin2010 [14]

<h3>Answer: x > 2</h3>

Work Shown:

5x - 14x < - 18

-9x < - 18

x > -18/(-9)

x > 2

The inequality sign flips when dividing both sides by a negative number.

Here's another approach you could take.

5x - 14x < - 18

-9x < -18

0 < -18+9x

18 < 9x

9x > 18

x > 18/9

x > 2

It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.

The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A A.

6 0

1 year ago