0.02 is 10 time as much as

Compare 5/8 1/3 (A) = (B)> (C)< (D)none of the above

Sav [38]

Answer:

5/8 > 1/3

so the answer is B >

Step-by-step explanation:

hope this helps

6 0

3 years ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

2 years ago

Read 2 more answers

What relationships do the ratios of sin x and cos y share

vredina [299]

Check the picture below.

3 0

3 years ago

Read 2 more answers

The amount of money you make varies directly with the number of hours you work. You earn $59.50 for 7 hours of work. How much mo

Arlecino [84]

1 hundred and two dollars

3 0

3 years ago

A florist determines the probabilities for the number of flower arrangements they deliver each day.

anastassius [24]

Answer:

a) mean = 20.75

b) variance = 1.6274

c) standard deviation = 1.2757

d) 145 arrangements per week.

Step-by-step explanation:

We have the following distribution:

x 19 20 21 22 23

P(x) 0.21 0.22 0.30 0.15 0.12

Mean: Is the average of the data. To find the mean, you need to take every x and multiply it by its corresponding P(x) and sum these values. The result will be the mean.

μ =∑ (x·P(x))

Therefore, in this case we have:

μ = 19(0.21) + 20(0.22) + 21(0.30) + 22(0.15) + 23 (0.12) = 20.75

Thus, the mean is 20.75

Variance: To calculate the variance you need to subtract the mean to every value x, then square the result and multiply it by the probability. Finally, you sum up these results and you get the variance.

In this case we will have

19 - 20.75 = -1.75 ⇒ (-1.75)²(0.21) = 0.6431

20 - 20.75 = -.75 ⇒(0.75)²(0.22) = 0.1237

21 - 20.75 = 0.25 ⇒(0.25)²(0.30) = 0.0187

22 - 20.75 = 1.25 ⇒(1.25)²(0.15) = 0.2344

23 - 20.75 = 2.25 ⇒ (2.25)²(0.12) = 0.6075

Now we need to sum up these results:

0.6431 + 0.1237 + 0.0187 + 0.2344 + 0.6075 = 1.6274

The variance is 1.6274.

Standard Deviation: It is the root of the variance.

Therefore, the standard deviation will be √1.6274 = 1.2757

b) How many arrangements should the florist expect to deliver each week, rounded to the nearest whole number?

To answer this question we'll work with the mean, he expects to deliver 20.75 arrangements per day, therefore, per week he'd deliver:

20.75 (7) = 145.25 = 145 arrangements.

7 0

3 years ago