2a−1/2a and 3a−1/3a , where a is a positive number.

It is 2.1 km from Mary's house to the nearest mailbox.

How far is it in metres.

1 km = 1,000 m

2 km = 2 × 1,000 = 2,000 m

2.1 km = ( 2,000 + 100 ) m = 2,100 m

2,100 m

Therefore, It is 2,100 metre far away from Mary's house.

Answer:

[tex]m=-\frac{53}{55} \\m=-0.963[/tex]

Step-by-step explanation:

Rewrite Equation.

[tex]7/4m+8/3m=-55/12[/tex]

Simplify.

[tex]\frac{53}{12m} =-55/12[/tex]

Simplify.

[tex]\frac{53}{12m} =-\frac{55}{12}[/tex]

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

[tex]53*12=12m*-55[/tex]

Simplify & Answer:

[tex]m=-\frac{53}{55}[/tex]

Answer:

6 1/2 cubic feet

Step-by-step explanation:

A carton has a length of 2 1/6 feet

The width is 1 1/5 feet

The height is 2 1/2 feet

Therefore the volume of the carton can be calculated as follows

= length × width × height

= 2 1/6 × 1 1/5 × 2 1/2

= 13/6 × 6/5 × 5/2

= 390/60

= 13/2

= 6 1/2 cubic feet

Hence the volume of the carton is 6 1/2 cubic feet

Answer: C

Step-by-step explanation:

For this problem, we need to know the standard form of a sine function and the meaning of each part.

Standard form: [tex]y=asin[b(x-h)]+k[/tex]

a=amplitude

b=period

h=phase shift

k=vertical replacement/shifting

Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with [tex]y=asin[b(x)][/tex]. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period. [tex]\frac{2\pi }{b} =\frac{2\pi }{4\pi } =\frac{2}{4} =\frac{1}{2}[/tex], therefore, b=1/2.

[tex]y=asin[b(x)][/tex]             [plug in a=2]

[tex]y=2sin[b(x)][/tex]             [plug in b=1/2]

[tex]y=2sin(\frac{1}{2}x)[/tex]

Therefore, C is the correct answer.

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

-30

multiply you'll get a negative number

Answer:

C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

Step-by-step explanation:

A trinomial is a polynomial with three variables. The polynomial -2x³ + 5x⁴ - 3x has three variables hence it is a trinomial.

The degree of a polynomial is the highest degree of a variable in a polynomial equation.

The polynomial -2x³ + 5x⁴ - 3x can be arranged as The polynomial 5x⁴ - 2x³ - 3x, hence the variable with the highest degree is 5x⁴ which has a degree of 4.

Therefore The polynomial -2x³ + 5x⁴ - 3x  has a degree of 4

This means the polynomial -2x³ + 5x⁴ - 3x is a trinomial with a degree of 4

Answer:

x = 21°

Step-by-step explanation:

opposite angles are equal

therefore, (3x + 1)° = 64°

open the brackets

3x + 1 = 64

3x = 64 - 1

3x = 63

divide both sides by 3

x = 21°

Answer:

Step-by-step explanation:

Income tax = 9.8%

Housing = [tex]\frac{11400}{48900}\times 100[/tex]

              = 23.3%

Food = [tex]\frac{7800}{48900}\times 100[/tex]

         = 16.0%

Clothing = [tex]\frac{900}{48900}\times 100[/tex]

              = 1.8%

Transportation = [tex]\frac{6000}{48900}\times 100[/tex]

                         = 12.3%

Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]

                                       = 29.5%

Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]

                        = 2.5%

Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]

                              = 1.2%

Savings for college = [tex]\frac{600}{48900}\times 100[/tex]

                                = 1.2%

Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]

                                      = 2.5%

Total = 100%                              

Answer:

Income tax = 9.8%

Housing =

             = 23.3%

Food =

        = 16.0%

Clothing =

             = 1.8%

Transportation =

                        = 12.3%

Insurance and medical =

                                      = 29.5%

Entertainment =

                       = 2.5%

Emergency funds =

                             = 1.2%

Savings for college =

                               = 1.2%

Savings for retirement =

                                     = 2.5%

Total = 100%                              

Step-by-step explanation:

Answer:

If we defelt 4 cards from 52 cards

Step-by-step explanation:

P(b) favorable outcome /total number of outcomes

48/52

The probability that all 4 cards are picture cards is  0.00183

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠). Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images.

as, we know

A face card is any of the twelve cards in a deck which has a picture of a face. The face cards are kings, queens, and jacks.

So, the possibilities to get a picture card is are 3*4=12.

Now, he probability that all 4 cards are picture cards

=(12/52) * (11/51) * (10/50) * (9/49)

=( 11880 / 6497400 )

= ( 0.0018284237 )

= 0.00183

Learn more about deck of cards here:

https://brainly.com/question/19202591

#SPJ2

Answer:

  CD = 13 cm

Step-by-step explanation:

We assume you intend XC = 2/3 of XM, since XD cannot be that fraction of XM.

__

Of course XM = MY = 12, since M is the midpoint of a segment 24 cm long. Then 2/3 of XM is 8 cm, and 3/4 of MY is 9 cm.

  CD = CM + MD = 4 cm + 9 cm

  CD = 13 cm

Answer:

If they are the same size and length

Step-by-step explanation:

Angles are congruent if ,and only if ,they have the same measure.

Hope it helps.

Answer:

RATIONAL NUMBER

Step-by-step explanation:

22/44=2/4

IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.

Answer:

Given m∠RST = (15x - 10)o

Using angle addition postulate:

m∠RST = m∠RSP + m∠PST (15x - 10)= (x + 25)+ (5x + 10)(15x - 10)=

so your answer would be (6x+35)

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

To find the reduction percentage, divide 12 by 20, then multiply by 100:

12/20

= 0.6

0.6(100)

= 60

So, the sweater was reduced by 60%

Answer:

60%

Step-by-step explanation:

[tex]\frac{12}{20} * \frac{x}{100}[/tex]

12 * 100 is 1200

1200/20 = 60

So, therefore the sweater was reduced by 60%.

Hope this helps, have a great day:)

Answer:

all

Step-by-step explanation:

first we can combine 5x and - 2x

5x + -2x = 3x

now we have 3x + 5 > 11

now we can go through all of the numbers to see which numbers make the inequality true

3 yes

3 * 3 = 9

9 + 5 = 14

so all of the numbers make it true

Answer:

d is the right answer

Step-by-step explanation:

3x+5-2x>11

3(3)+5-2(3)>11

8>11

so a is wrong

3(5)+5-2(5)>11

10>11

so b is wrong

3(6)+5-2(6)>11

11>11

 c is wrong bc they equal

Answer:

vRead the passage from “The Beginnings of the Maasai.”

Now Enkai lives at the top of Mount Kenya, and we Maasai still live below, herding cattle down in the plains. It’s not a bad life, especially when Enkai is the Black God, providing for us. And when the cattle or other children cause problems, I just warn them that they never know when I might suddenly develop my godly powers.

The main purpose of the passage is to illustrate the relationship between the Maasai and

Mount Kenya.

the children.

the cattle.

their god.

Step-by-step explanation:

Answer:

3600 x 3.4=122.4 122.4 x 6=Answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

This is a Guess Each child gets Half of the Sandwich.

Step-by-step explanation

Answer:

30:1

Step-by-step explanation:

90:3

90÷3=30

3÷3=1

=30:1

Answer:

UV = 15

BD= 31

Step-by-step explanation:

Since, U is the midpoint of TV.

Therefore,

TU = UV

x + 10 = 3x

x - 3x = - 10

-2x = - 10

x = - 10/-2

x = 5

UV = 3x = 3*5

UV = 15

BD = BC + CD

3x - 11 = x - 2 + 19

3x - 11 = x + 17

3x - x = 11 + 17

2x = 28

x = 28/2

x = 14

BD = 3x - 11 = 3*14-11 = 42 - 11

BD= 31

Answer:

p=1.50$ per pound

n=3.00$ per pound

6x1.5=9

3x3=9

9+9=18

Answer:

1,3,5

Step-by-step explanation:

go ahead report my answer because brainly is always reporting answers even if they are original and correct. undelete my answers brainly thats not fair. each one of us helps get the answers i matter too.

Step-by-step explanation:

(-3,2) is equal to (x,y)

x=-3 so 5x becomes 5x-3.

5x-3=-15

y=2 so 2y becomes 2x2.

2x2=4

-15+4=-11

T/F

True

So the answer is Yes, the ordered pair (-3,2) is a solution.

hope it helps!

Answer:

18.

Step-by-step explanation:

4+5 is 9, and 9 times 2 is 18

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

Answer:The ordered pairs (a,b) of a function are (b,a) for the inverse function.

Step-by-step explanation:

Answer:

(a,b)/(b,a)

Step-by-step explanation:

Hey there!

[tex]1.939*105[/tex]

Multiply.

[tex]1.939*105=203.595\\203.595(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

193900

Step-by-step explanation:

usatestprep