$7.50 for 5 pounds ?

1. p+6

2.a =13*8 = 104

3.b = 96/12 = 8

4.c= 2.3*9 = 20.7

5.d = 5.2*6 =31.2

6. h = 0.74/0.74 = 1

7. k = 0.38*1 = 0.38

8. n = 0

9. w = 3.12/4 = 7.8

10. a = 0

Floor: 24 * 48 = 1152 square inches

Tile: 8^2 = 64 square inches each

1152/64 = 18 

 18 tiles are needed

The perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2) is approximately 14.47 units when rounded to the nearest hundredth.

To find the perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2), you first need to calculate the length of each side of the triangle formed by these points. You can do this by using the distance formula:

[tex]d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

For side XY:

d(XY) = [tex]\sqrt(3 - (-1))^2 + (0 - 3)^2}[/tex]

[tex]\sqrt{{16 + 9}[/tex]

[tex]\sqrt{{25}[/tex]

= 5

For side YZ:

[tex]d(YZ) = \sqrt{((-1) - 3)^2 + (-2 - 0)^2}[/tex]

[tex]\sqrt{{16 + 4}[/tex]

[tex]\sqrt{{20}[/tex]

= 4.47

For side ZX:

[tex]d(ZX) = \sqrt((-1) - (-1))^2 + (3 - (-2))^2}[/tex]

[tex]= \sqrt{0 + 25}[/tex]

= 5

Now, sum the lengths of the sides to get the perimeter:

Perimeter

= d(XY) + d(YZ) + d(ZX)

= 5 + 4.47 + 5

= 14.47

So, the perimeter of the polygon is approximately 14.47 units, rounded to the nearest hundredth.

90% = 0.90

4732000 x 0.90 = 4,258,800

The number -√17 is an irrational number and is part of the set of real numbers.

The number -√17 belongs to the set of real numbers. However, because this number is the square root of a positive number (17) and is multiplied by negative sign, it is not a rational number, but rather an irrational number.

It is part of the real numbers because the set of real numbers includes all numbers that can be plotted on a number line, including integers, rational numbers (numbers that can be expressed as a quotient of two integers), and irrational numbers (numbers that cannot be expressed as a quotient of two integers).

It is specifically an irrational number because the square root of 17 is a non-repeating, non-terminating decimal, and when we multiply this by a negative sign, the numerical value itself does not change, only its direction on the number line.

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Question (1)

When the divisor is a decimal, what must we do?              

1) Multiply the divisor by 10, or 100, or 1000, etc., according to the number of decimal digits, so that it becomes a whole number.

 2)Multiply the dividend by the same power of 10.

Question (2)

When asked to add or subtract decimals, the most important step is to line up the decimal points. Step 1: Line up the decimal points so that similar place values are lined up. In other words, the tens place in both numbers should be lined up, the ones place in both numbers should be lined up, etc.

Question (3)

To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

Answer:

In the division problem,

The number which is divided is called dividend,

While, the number which divides, is called divisor,

Let dividend = 150 ( a three digit number ),

Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

[tex]150\div 15[/tex]

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

That is,

[tex]150\div 15 = 10[/tex]

The average time for each step in the assembly process is 3.75 minutes per step.

To find the average time for each step in the assembly process, we need to divide the total time taken by the number of steps. In this case, the assembly takes 3/4 hour, which is equivalent to 45 minutes. There are 12 steps in the process. So, to find the average time per step, we divide 45 minutes by 12:

Average time per step = 45 minutes / 12 = 3.75 minutes per step.

Another way in which the cards Can be placed is 13 rows of 4 cards each.

The total Number of playing cards in a deck = 52

In other to place equal number of cards in a number of rows;

Evaluating the options given :

15 × 4 = 60 (False)

13 × 4 = 52 (True)

18 × 3 = 54 (False)

16 × 3 = 48 (False)

Hence, the other way in which the cards Can be placed is 13 rows of 4 cards each.

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Answer: It will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.

Step-by-step explanation:

Since we have given that

Number of hours first pump takes = 8 hours

Number of hours second pump takes = 10 hours

If both pumps are opened at the same time,

Work done by first pump = [tex]\dfrac{1}{8}[/tex]

Work done by second pump = [tex]\dfrac{1}{10}[/tex]

According to question,we get that

[tex]\dfrac{1}{8}+\dfrac{1}{10}\\\\=\dfrac{5+4}{40}\\\\=\dfrac{9}{40}[/tex]

So, it will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]5x-9\leq 21[/tex]

solve the inequality

[tex]5x\leq 21+9[/tex]

[tex]5x\leq 30[/tex]

[tex]x\leq 30/5[/tex]

[tex]x\leq 6[/tex]

The solution is the interval----------> (-∞,6]

All real numbers less than or equal to [tex]6[/tex]

The solution of the inequality is the shaded area to the left of the solid line

see the attached figure