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.

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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:

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:

perimeter of a square= 4 times square root of area

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

Answer:

hey

Step-by-step explanation:

i cant text u add me ok it deleted my answer

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

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:

where is the figure????

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

Answer:

(2,1)

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

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:

5y^2×3/4

calculate:

15/4y^2

alternate form:

3.75y²

Answer:

integers

Step-by-step explanation:

because integers are always in decimal form

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

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.

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:

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

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:

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

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:

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: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:

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

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:

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

I believe the answer is 3/4.

Answer:

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

Answer:

It dropped 8 degrees so the answer must be -8

Step-by-step explanation:

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:

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:

N=2a2b

divide by 2a squared to get

b=N/2a2

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