Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __

Answer:

addition of property of equation

Step-by-step explanation:

You have to move the -3 by adding it to both sides and since the other number is negative you get 1

Answer:

Addition property of equality

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

42 cups of sugar should be used if 21 cups of flour are used

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

To learn more on Ratios click:

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Answer:

(2 x - 1) (x + 1) (x - 3)

Step-by-step explanation:

Factor the following:

2 x^3 - 5 x^2 - 4 x + 3

Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.

The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:

Answer: (2 x - 1) (x + 1) (x - 3)

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

Answer:

i

Step-by-step explanation:

dk

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

y=-2x+10

Step-by-step explanation:

slope intercept is written as y=mx+b

the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.

hope this helps!

Answer:

y=-2x+10

Step-by-step explanation:

Hello there!

First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)

Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b

Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:

-6 = -2*8 + b

-6 = -16 + b

(add 16 to both sides)

10 = b (or b=10)

Now that we have all of the parts we need, our answer will be y=-2x+10

Hope this helped!

Answer:

y = x + 2

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.

Answer:

Literal equation is a consists letters of primarily.

Step-by-step explanation:

Hopes that helped :)

Answer:

Step-by-step explanation:

240/15 is 16 projects per day

Answer:

16 projects per day

Step-by-step explanation:

Take the number of projects and divide by the number of days

240/15

16 projects per day

See attachment for math work and answer.

9514 1404 393

Answer:

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x

Answer:

2. 7 : 31

Step-by-step explanation:

7 * 2 = 14

31 * 2 = 62

7 : 31

14 : 62

Given:

She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.

Monday she read [tex]1\dfrac{1}{3}[/tex] hours.

Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.

Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours

                                              [tex]=\dfrac{16+9+36}{12}[/tex] hours

                                              [tex]=\dfrac{61}{12}[/tex] hours

Now,

Remaining time = Total time - Total time she already read

                         [tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]

                         [tex]=\dfrac{130-61}{12}[/tex]

                         [tex]=\dfrac{69}{12}[/tex]

                         [tex]=\dfrac{23}{4}[/tex]

                         [tex]=5\dfrac{3}{4}[/tex]

Therefore, the required time is  [tex]5\dfrac{3}{4}[/tex] hours.

Answer:13.D      14.C

Step-by-step explanation:

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

Hiiiii.

How are you?

I like to be Friends.

Answer:

Did this help??

Step-by-step explanation:

a.) 5x = m

5x = you and four friends.

m = money for food

b.) Plug in

5(5.25) = m

26.25 = m

Answer:

60°

140°

Step-by-step explanation:

From the given figures,

 a. we use the concept of alternate angles.

   Two parallel lines cut by a transversal will have equal alternate angles;

  So;

       6x + 12 = 7x + 4

    collect like terms and solve for x;

     6x - 7x = 4 - 12

         -x = -8

         x = 8

Now, 6x + 12 = 6(8) + 12

                     = 48 + 12

                     = 60°

b. Here we use alternate angles and angles on a line;

     4x is an alternate angle to that angle to the left of 13x + 10

And sum of angles on a line = 180

    4x + 13x + 10 = 180

        17x = 170

          x = 10

Now,  13x + 10 = 13(10) + 10 = 140°

Answer:

1. real number, irrational number

2. rational number, real number