A thermostat is set so that the temperature in laboratory freezer stays within 2.5 degrees F of 2 degrees F. Write and solve an absolute value equation to find the maximum and minimum temperatures in the freezer.

Matt needs to sell approximately 28 books to make $30 for the week.

To find the number of books Matt needs to sell to make $30 for the week, we need to use the given information that Matt gets $6 for selling 9 books and $9 for selling 11 books.

Let's first find the amount of money Matt makes for each book:

For 9 books, Matt makes $6, so he makes $\frac{6}{9} = \frac{2}{3}$ dollars per book.

For 11 books, Matt makes $9, so he makes $\frac{9}{11}$ dollars per book.

Now, we can set up an equation to find the number of books Matt needs to sell to make $30:

2/3 x + 9/11 x=30

where (x) is the number of books Matt needs to sell.

Simplifying the equation, we get:

x = 28

Therefore, Matt needs to sell approximately 28 books to make $30 for the week. Since he cannot sell a fraction of a book, he would need to sell either 28 or 29 books to make $30.

7% = 0.07

14.50 *1.07 =  15.52 new price

Based on the information given, Pat has 4 more cards than Frank.

The number of cards that Pat has = 9 cards

Number of cards that Steve has = 3 cards

Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5

In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:

= Pat's card - Frank's card

= 9 - 5

= 4

Therefore, Pat has 4 more cards than Frank.

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Answer: Explanation is given below.

Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.

We will be using the following associative property of real numbers:

[tex](a+b+c)+d=(a+c)+(b+d).[/tex]

Therefore, the simplification is as follows:

[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]

Hence explained.

Answer:

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1

( D )

The answer is d

i hope this helps

The question is about using the Pythagorean Theorem to calculate the length of the hypotenuse of a right triangle. It also asks how to calculate the area of a square when the hypotenuse of the right triangle is one of its sides. The hypotenuse's length would be useful to determine the square's area, as the square's area is calculated as the square of the length of one side.

The subject of this question is Mathematics, and it is appropriate for a High School level student. The question is discussing a scenario where a square has the hypotenuse of a right triangle as one of its sides, and the student is asked to estimate the value of the length of the hypotenuse and calculate the area of the square.

To solve this problem, we will use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (let's call it 'c') is equal to the sum of the squares of the lengths of the other two sides (let's call them 'a' and 'b'). In other words, c² = a² + b². The length of the hypotenuse is the square root of this sum, √(a² + b²).

Since we aren't given specific lengths for the sides of the triangle, I cannot provide exact values. However, let's say that the length of the hypotenuse is 'd', then the area of the square, which is calculated as the length of one side squared (d²) would be equal to the given value.

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Your answer would be, 133.92 my good friend!

After the second bounce, the ball will rise to a height of 0.36 meter.

To find the height the ball will rise after the second bounce, we can use the given information that the ball always bounces to 3/5 of the height from which it falls. In this case, the ball falls from a height of 1 meter.

For the first bounce, the ball rises to 3/5 of 1 meter, which is 0.6 meter. For the second bounce, the ball will rise to 3/5 of 0.6 meter. To calculate this, we multiply 3/5 by 0.6 meter, which gives us 0.36 meter.

Therefore, after the second bounce, the ball will rise to a height of 0.36 meter.

Answer:  Fourth option is correct.

Step-by-step explanation:

Since we have given that

[tex]x+4y=25.50------------------(1)\\\\3x+2y=24.00-----------------------(2)[/tex]

Here, x is the number of strawberry smoothies.

and y is the number of protein shakes.

So, using elimination method, we get that,

Multiplying 2 by eq(2), we get that

6x+4y=48---------------(3)

From eq(1) and (3), we have

[tex]x+4y=25.50\\\\6x+4y=48\\\\-----------------------------------\\\\-5x=-22.5\\\\x=\dfrac{22.5}{5}\\\\x=4.5[/tex]

Put the value of x in eq(1), we get that

[tex]4.50+4y=25.50\\\\4y=25.50-4.50\\\\4y=21\\\\y=\dfrac{21}{4}\\\\y=5.25[/tex]

Hence, the price of protein shake is $5.25.

Thus, Fourth option is correct.

Answer:

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