Simplify x+2/x^2-6x-16 divided by 1/9x a. 10x/x+4 b. x+4 c. 10x^2(x+2)/x+6 d. 9x/x-8

In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on th

In-s [12.5K]

Given:

$|x-4(72)|=2$

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

$|x-4(72)|=2$

$|x-288|=2$

It can be written as

$x-288=\pm 2$

Add 288 on both sides.

$x=288\pm 2$

$x=288-2$ and $x=288+2$

$x=286$ and $x=290$

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.

8 0

2 years ago

Consider the diagram and proof by contradiction.

uranmaximum [27]

The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one side of a triangle is longer than another side, then the angle opposite the longer side will have a greater degree measure than the angle opposite the shorter side.

The converse to the Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than another angle, then the side opposite the greater angle will be longer than the side opposite the smaller angle.

Thus, from the proof if AB > AC, then m∠C > m∠B by the converse of the triangle parts relationship theorem.

5 0

2 years ago

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a school baseball team raised $810 for new uniforms. each player on the team sold one book of tickets. There were 10 tickets in

antiseptic1488 [7]

27
Multiply 10 and 3 because thats how much each book is worth.
Then divide 810 by 30
The answer is 27

6 0

2 years ago

Use the discriminant to answer the questions. 32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions

sp2606 [1]

One real, rational, Option A

8 0

2 years ago

Read 2 more answers

How many pounds of water must be evaporated from 50 pounds of a 3% salt solution so that the the remaining solution will be 5 %

svlad2 [7]

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

#lbs solution * % salt = lbs. salt

3% solution

- Water

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

#lbs solution * %salt = lbs salt

3% solution 50 * .03 = 1.5

- Water

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

#lbs solution * %salt = lbs. salt

3% solution 50 * .03 = 1.5

- Water x * 0 = 0

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

#lbs. solution * %salt = lbs. salt

3% solution 50 * .03 = 1.5

- Water x * 0 = 0

New solution 50 - x * .05 = 2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

4 0

2 years ago

Simplify x+2/x^2-6x-16 divided by 1/9xa. 10x/x+4b. x+4c. 10x^2(x+2)/x+6d. 9x/x-8