passes through (-1,2), parallel to the graph of x-3y=14

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.

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.

The number that is 70 percent of the number 70 will be 49.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Let the number be 'x'. Then the equation is given as,

x = 70% of the 70

Simplify the equation, then the value of the number is calculated as,

x = 70% of the 70

x = 0.70 × 70

x = 49

The number is 49.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer:

This may be perfectly expressed in a Rule of Three as:

If 1 yard is equal to 3 feet

15.4 yards are equal to x feet

1 yard-----3feet

15.4 yards------x

Then:

[tex]x=\frac{(15.4 yards)(3 feet)}{1 yard}[/tex]

[tex]x=46.2 feet[/tex]

Therefore the answer is 46.2 feet

90% = 0.90

4732000 x 0.90 = 4,258,800

Answer:

perimeter of rectangle is 9/7 units.

Step-by-step explanation:

The perimeter of a rectangle is given by

Perimeter = 2(length + width)

Given that

[tex]length=\frac{1}{7}\\\\width=\frac{1}{2}[/tex]

Substituting these values in the above formula

[tex]P=2(\frac{1}{7}+\frac{1}{2})[/tex]

Add the fractions. The LCD is 14. So, multiply and divide by 14

[tex]P=\frac{2}{14}(\frac{1}{7}\times14+\frac{1}{2}\times14)\\\\P=\frac{1}{7}(2+7)\\\\P=\frac{9}{7}[/tex]

Thus, perimeter of rectangle is 9/7 units.

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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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

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.

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.