21 less than tree-fifths of a number

Answer:

5

Step-by-step explanation:

-3a+24-9=0

-3a = -15

a = 5

Answer:

Step-by-step explanation:

solve the equation then plug in the to numbers

Answer:  [tex]\frac{37}{1,101,716,330}\\\\[/tex]

This is the same as writing 37/1101716330

======================================================

Explanation:

Let's say the nine winning numbers are: 1,2,3,4,5,6,7,8,9

Let's further say that if we matched everything from 1 to 8, then we'll win second prize. That ninth value can be anything but 9. So we could have something like one of these examples

As you can see, there are 46-9 = 37 different choices we can have for that last slot. In other words, there are 37 items in the set {10,11,12,...,45,46} we can pick for that last ninth slot. Note that 46-10+1 = 37. This value will form the numerator of the answer.

------------------------------------------

Now to calculate how many ways there are to select the nine values regardless if we win or lose.

Since order doesn't matter, we use the nCr combination formula.

[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{46} C _{9} = \frac{46!}{9!*(46-9)!}\\\\_{46} C _{9} = \frac{46!}{9!*37!}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38*37!}{9!*37!}\\\\[/tex]

[tex]_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9!} \ \text{ ... the ``37!'' terms cancel}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9*8*7*6*5*4*3*2*1}\\\\_{46} C _{9} = \frac{399,790,821,830,400}{362,880}\\\\_{46} C _{9} = 1,101,716,330\\\\[/tex]

There are slightly over 1 billion ways to select the nine values.

This large value is the denominator of our answer which is [tex]\frac{37}{1,101,716,330}\\\\[/tex]

The 37 up top represents the number of ways to win the second prize we're after, while the massive number in the denominator represents how many ways there are to play the game.

------------------------------------------

Notice that in the jump from step 4 to step 5, shown in the section above, we had the "37!" terms cancel out. What this means is that the prime number 37 is nowhere to be found anywhere in the factorization of 1,101,716,330

Why is this important? Because it tells us that the fraction [tex]\frac{37}{1,101,716,330}\\\\[/tex] cannot be reduced.

Side note: That fraction converts to the decimal form 0.00000003358397 approximately and that converts to the percentage form 0.000003358397%; both of which are very very small numbers. We can see that the odds are definitely stacked against the player.

Answer:

1 7/18

Step-by-step explanation:

I Had Also Taken The Test And It Was 1 7/18 In Mixed Numbers.

The expression 4(19 + e2) + 3f at e = 13 and f = 16 is 804.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to Evaluate the expression 4(19 + e2) + 3f when e = 13 and

f = 16 is the same as replacing the numerical values of e and f in the expression

4(19 + e2) + 3f which is,

= 4(19 + 13²) + 3×16.

= 4(19 + 169) + 48.

= 4(189) + 48.

= 756 + 48.

= 804.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

≈ 38.64 units

Step-by-step explanation:

The length of arc s is calculated as

circumference of circle × fraction of circle

The central angle subtended by arc s is 360° - 114° = 246° then

arc s = 2πr × [tex]\frac{246}{360}[/tex]

        = 2π × 9 × [tex]\frac{41}{60}[/tex]

        = 18π × [tex]\frac{41}{60}[/tex]

        ≈ 38.64 ( to 2 dec. places )

Answer:

195 miles

Step-by-step explanation:

take 3.25 times 60, because there are 60 minutes in an hour

9514 1404 393

Answer:

  4 mph

Step-by-step explanation:

The ratio of speeds upstream and down is inversely proportional to the ratio of times upstream and down. If we let c represent the speed of the current, the relation can be written ...

  (47 +c)/(47 -c) = 51/43

  43(47 +c) = 51(47 -c)

  94c = 8(47) . . . . . . . . . . . add 51c -43(47)

  c = 4 . . . . . divide by 94

The speed of the current is 4 miles per hour.

Answer:

fjjwiddjrjefjdjdjdjdjdjdjdjdjjdjdjrjrjxbqvrdjd

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...

  0 ≤ π/2 +nπ ≤ 16

Dividing by π gives ...

  0 ≤ 1/2 +n ≤ 16/π

Subtracting 1/2, we have ...

  -1/2 ≤ n ≤ 4.59...

The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...

  5 discontinuities in the interval

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

[tex]36 + 90 + 2x = 180 \\ 126 + 2x = 180 \\ 2x = 180 - 126 \\ 2x = 54 \\ \\ x = \frac{54}{2} \\ \\ x = 27[/tex]

I hope I helped you^_^

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate value of x ~

[tex]\qquad \tt \dashrightarrow \:36 + 90 + 2x = 180[/tex]

[ by linear pair property of straight line ]

[tex]\qquad \tt \dashrightarrow \:2x + 126 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 180 - 126[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 54[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 54 \div 2[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 27 \degree[/tex]

I hope it's easy to understand ~

Answer:

answer is -1

sorry for bad handwriting

Answer:

The water park and The water balloon rentals

Step-by-step explanation:

Answer:

24,800.07

Step-by-step explanation:

Answer:

Two negatives equal a postive. So, 5*3 = 15b - (-5)*2 and that would equal 10c. Using the Distributive Property to multiply each side by -5.

Step-by-step explanation:

15b+10c is your answer.

Hope this helps! (:

Answer:

620 x 815 = 505300   50530 divided by {- 310}  = - 1630

Step-by-step explanation:

Answer:

[tex] - 45.5[/tex]

Step-by-step explanation:

Given that,

[tex]a = 7 \\ b = 2[/tex]

Question :

[tex] \frac{a}{b} - {a}^{b} [/tex]

Let us solve

[tex] \frac{a}{b} - {a}^{b} \\ \frac{7}{2} - {7}^{2} \\ 3.5 - 49 \\ = - 45.5[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Step-by-step explanation:

= [tex]\frac{7}{2}-7^{2}[/tex]

= [tex]\frac{7}{2}-49[/tex]

= [tex]\frac{7}{2} -\frac{98}{2}[/tex]

= [tex]\frac{-91}{2}[/tex] Or - 45.5

please give me a brainliest answer

D. The change in the elevators height for every one additional second

Answer:

a=1/3

Step-by-step explanation:

24a=8

Divide both sides by 24, and you will get a=8/24

Divide both the numerator and denominator by 4, and you will get 2/6, which is equivalent to 1/3.

Answer:

a = 1/3

Step-by-step explanation:

Divide both sides of the equation by the same term(24)

24a/24 and 8/24 = a = 1/3

Answer:

Step-by-step explanation:

Using the formula

c= the square root of a^2+b^2

Solving for a  

a=square root of c^2﹣b^2=

152﹣72 ≈ 13.2665

So rounded would be 13.27

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333  IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

       14 ÷ 15

2. You will get a recurring decimal.

     0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

      0.9

4. You should use only two digits after the decimal to calculate

      0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

            ∴ The answer will be = 0.9

1.705

2.401

3.906

4.907

5.501

6.206

7.507

8.602

9.307

10.705

Please mark me brainest

and follow me to get solutions faster.

Answer:

1no=61

2no=53

Step-by-step explanation:

May this help you

Answer:

(7 + 3) + 2 equals 10 + 2 which equals 12

7 + (3 + 2) equals 7 + 5 which equals 12

Step-by-step explanation:

Answer:

a) (x + 1780)

b) -12

Step-by-step explanation:

The car corporation produced more cars this month than the month before (indicated by x). A signed number is that which indicates whether or not there has been an increase/decrease also known as negative or positive, thus the final answer is +1780

The same step applies to fahrenheit.  

Answer:

-4

Step-by-step explanation:

We are given the equation:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} }[/tex]

Since we wants to find the value of C that makes the line pass y-intercept which is -1/16.

When we talk about y-intercept, our x-value remains 0 and y-value remains any real number.

It can be expressed as (0,b) point where b is any real numbers.

What we have to do is to substitute (0,-1/16) or x = 0, y = -1/16 in the equation so we can find the value of C.

Thus:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} } \\ \displaystyle \large{0 + C( - \frac{1}{16} ) = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} }[/tex]

Multiply both sides by GCF.

[tex] \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} (16)= \frac{1}{4} (16)} \\ \displaystyle \large{ - C= 4 } \\ \displaystyle \large{ C= - 4 }[/tex]

Therefore, C = -4

The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of cone = 10.6 m

Diameter of cone = 18.5 m

Hence, We can solve for radius as;

= 18.5/2

= 9.25

We know that;

Volume of a right circular cone is,

V = 1/3(πr²h)

Here, r = 9.25, h = 10.6, π = 3.14,

Hence, We get;

V = 1/3(3.14)(9.25)²(10.6)

V = 1/3(3.14)(85.5625)(10.6)

V = 1/3(2847.86225)

V = 949.287417

V = 949.76cm³

Thus, The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

sorry I don't know

maybe other can help you

Answer:

Domain [-5,9)

Step-by-step explanation:

the domain represents the beginning and ending of the x (sorry i dont know how to explain it in english)

and -5 is closed while 9 is open

meaning that the domain of this function would be a closed parenthesis -5, 9 open parenthesis (this ia how we do it in quebec)

thus [-5,9) (i dont know if this is how u guys do it) but if [ means closed and ) means open then this is the ans if not it would be the first one

Answer:

11/4 or 2 3/4

Answer:

3/5

Step-by-step explanation:

Answer: I would say 3 divided by 2 or it would be 3/2.

Step-by-step explanation: Hit me up if i got it right:)