The Five Fives Challenge

In this mathematical challenge, you must use only five fives and mathematical operations/ symbols to achieve the number 0-30. Mathematical operations/symbols include addition, subtraction, multiplication, division, grouping symbols, decimal points, exponents, square roots, and factorials.
There are many solutions for each number. Be creative and try and find different solutions.

Answer:

c= 9.2

Step-by-step explanation:

a^2 +b^2=c^2

6^2 + 7^2 = c^2

36+49 =85

= 9.2

Than take 85 and [tex]\sqrt{85)[/tex]you have to make sure you square the number so it will be accurate.

c=9.2

i hope this helped

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

Read more on trigonometric ratios;

https://brainly.com/question/10417664

#SPJ1

Answer:

Option (4)

Step-by-step explanation:

Domain:

Domain of function is defined by the x-values (Input values) on the graph.

Range:

Range of a function is defined by the y-values (output values) on the graph.

From the graph attached,

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3).

Option (4) will be the answer.

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt[3]{8.10^{15} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\sqrt[3]{10^{15} }[/tex]

= 2 × [tex]10^{5}[/tex]

= 200000

Answer:

Step-by-step explanation:

We are asked for the number of hours spent at the studio, so it is reasonable to let the variable x stand for the number of hours.

The total cost is ...

  vase cost + hourly cost = total cost

where hourly cost = (# of hours)(cost per hour)

  10 + 8x = 46

  8x = 36 . . . . . . subtract 10

  x = 4.5 . . . . . . . divide by 8

4.5 hours were spent at the studio.

Answer:d/6+f/3=4 solve for d

step by step and accurate answer plz​

Step-by-step explanation:d/6+f/3=4 solve for d

step by step and accurate answer plz​

Answer:

N=2a2b

divide by 2a squared to get

b=N/2a2

Answer:

It dropped 8 degrees so the answer must be -8

Step-by-step explanation:

Answer:

26/7

Step-by-step explanation:

[tex]2\frac{3}{5} * 1\frac{3}{7}[/tex]=

[tex]\frac{13}{5}* \frac{10}{3} =[/tex]

[tex]\frac{130}{35}[/tex]=

simplify= 26/7

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

Explanation:

The given equation y = (-2/3)x+1 is in the form y = mx+b

m = -2/3 is our slope

b = 1 is the y intercept

The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.

Another point can be found using the slope

Recall that slope = rise/run

Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.

The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.

The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.

Answer:

hey

Step-by-step explanation:

i cant text u add me ok it deleted my answer

Answer:

This is the answer

Step-by-step explanation:

Solving    3x2-9x-5 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -9

                     C   =   -5

Accordingly,  B2  -  4AC   =

                    81 - (-60) =

                    141

Applying the quadratic formula :

              9 ± √ 141

  x  =    —————

                   6

 √ 141   , rounded to 4 decimal digits, is  11.8743

So now we are looking at:

          x  =  ( 9 ±  11.874 ) / 6

Two real solutions:

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

or:

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

Two solutions were found :

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

5y^2×3/4

calculate:

15/4y^2

alternate form:

3.75y²

Answer:

(2,1)

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

Step-by-step explanation:

f(x) = 25 / (10x -20)

When 10x - 20 = 0, f(x) is undefined. Therefore x = 2 is not in the domain for f(x) to be a function.

Answer = 2.

Answer:

integers

Step-by-step explanation:

because integers are always in decimal form

I believe the answer is 3/4.

Answer:

1/4+2/4=3/4 I believe so

Answer:

let the x no of days the television is rented

22+4x=46

4x=46-22

4x=24

x= 6days

Step-by-step explanation:

Answer:

where is the figure????

nap......where is the figure?

Answer:

Step 1 should have been 27(6 + 30).

Step-by-step explanation:

Given that:

The evaluation of the expression 27(36) by using the distributive property as portrayed by Liz is as follows:

27 (36)

Step 1 = 27 (3+ 12)

Step 2 = 27(3) + 27(12)

step 3  = 81 + 324

Step 4 = 405

What was the first error that Liz made?

From the above first step, we will see that :

27(3+12) was given, which is wrong.

the right step that is supposed to be there is:

27(6 + 30).

so the calculation will be:

Step 1 = 27(6+30)

Step 2 = 27(6) + 27(30)

Step 3 = 162 + 810

Step 4 = 972

Answer:

47

Step-by-step explanation:

46, 24,87, 64, 39, 50, 37, 48

First put the numbers in order from smallest to largest

24,  37,  39,46, 48,50,64,87

Then we notice that there are 8 numbers.  The median is the middle

24,  37,  39,46     , 48,50,64,87

The middle is between 46 and 48

Take the average of these numbers

(46+48)/2 = 94/2 = 47

The median is 47

Answer:

49

Step-by-step explanation:

Fairly simple, line up the numbers in order from lowest to highest. Then find the middle two terms. Since we have 8 terms, we take the two in the center, 50 and 48 and add them together, then divide by two to get your median.

Answer:

Value of x = 10

Minimum cost (C) = 45

Step-by-step explanation:

Given:

Equation:

120 - 5x + 0.25x²

Find:

Value of x

Minimum cost

Computation:

0.25x² - 5x + 120

x = -[b/2a]

x = -[(-5)/2(0.25)]

x = 10

Value of x = 10

Minimum cost (C) = 120 - 5x + 0.25x²

Minimum cost (C) = 120 - 5(10) + 0.25(10)²

Minimum cost (C) = 45

Answer:

perimeter of a square= 4 times square root of area

[tex]4 \sqrt{54} = 29.39[/tex]

Step-by-step explanation:

6 answer

[tex] \frac{4}{15} \div \frac{2}{5} [/tex]

[tex] \frac{4}{15} \times \frac{5}{2} [/tex]

[tex] \frac{8}{75} = 0.10667[/tex]

7 answer

[tex] \frac{9}{10} \div \frac{1}{6 } [/tex]

[tex] \frac{27}{5 } = 5.4[/tex]

[tex] \frac{9}{10} \times 6[/tex]

8 answer

[tex] \frac{20}{8} \div \frac{1}{15} [/tex]

[tex] \frac{20}{8} \times 15[/tex]

[tex] \frac{1}{6} = 0.1667[/tex]

9 answer

[tex] \frac{6}{7} \div \frac{9}{14} [/tex]

[tex] \frac{6}{7} \times \frac{14}{9} [/tex]

[tex] \frac{4}{3} = 1.33[/tex]

Answer:

I thought it was the last one but I mean if it was wrong sorry

Greetings from Brasil....

The rate of change between 2 points is obtained through the expression:

a) (0, 2) and (4, 10) so, X₁ = 0; X₂ = 4; Y₁ = 2 and Y₂ = 10

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (10 - 2)/(4 - 0)

m = 8/4 = 2

b) (0,5) and (2,8) so, X₁ = 0; X₂ = 2; Y₁ = 5 and Y₂ = 8

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (8 - 5)/(2 - 0)

m = 3/2

c) (0,0) and (3,-4) so, X₁ = 0; X₂ = 3; Y₁ = 0 and Y₂ = - 4

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (- 4 - 0)/(3 - 0)

m = -4/3

d) (0,6) and (12,9)​ so, X₁ = 0; X₂ = 12; Y₁ = 6 and Y₂ = 9

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (9 - 6)/(12 - 0)

m = 3/12 ⇔ m = 1/4

Among all the values above, the largest is 2, so points

(0; 2) and (4; 10)

Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

Answer: His paycheck was $72.

Step-by-step explanation:

Let x = paycheck amount.

Given,  Amount spent on video games = [tex]\dfrac x2[/tex]

Amount he has left of it = [tex]x-\dfrac x 2=\dfrac x 2[/tex]

Amount received = $20

Total amount amount he has left = [tex]\dfrac x 2 +20[/tex]

According to the question,

[tex]\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72[/tex]

∴ His paycheck was $72.

Answer:

11

Step-by-step explanation:

4(s-3)-4=4+8(3)

=4+24

=28

4s-12-4=28

4s-16=28

4s=28+16

4s=44

s=44/4

s=11

Answer:

Hey there!

Density = Mass/Volume

Mass= 6g

Volume=24 mL, which is 24 cm^3

Density= 6g/24 cm^3

Density=0.25 g/cm^3

Let me know if this helps :)

Answer:

0.25g/ml

Step-by-step explanation:

Mass=6g

Volume=24ml

Density=Mass/Volume

=6/24=1/4=0.25g/ml