septimus has a seven-sided coin. he turns it over from right to left in front of him, rotates it 3/7 turn clockwise, turns it over again in the same way, and then turns 1/7 anticlockwise. this is the same as a clockwise turn by which of the following?
A. 2/7
B. 3/7
C. 4/7
D. 5/7

Answer:

x = -5, 6

Step-by-step explanation:

[tex]x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6[/tex]

Answer:

C. N = 400 / 10

Step-by-step explanation:

Lawn-cutting Bank Account = $325

Amount paid for gas = $75

Total amount earned = Lawn-cutting Bank Account + Amount paid for gas

= $325 + $75

= $400

Amount earned per every lawn he mowed = $10

How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

Answer:

64degrees

Step-by-step explanation:

From the given diagram;

m<LK = 180degrees

m<LM = 116degrees

Required

m<1

Since <1 and <LM lies on the same straight line, hence;

m<1 + m<LM = 180

m<1 + 116 = 180

m<1 = 180 - 116

m<1 = 64degrees

Hence the measure of m<1 is 64degrees

Answer: 32

Step-by-step explanation:

2a+180+116=360

2a=64

a=32

Answer:

12

Step-by-step explanation:

They are the same angle so they must be equal.

So, x+5 = 2x-7

     5+7 = 2x-x

        12 = x

Answer:

Step-by-step explanation:

Answer:

a) 22:24 simplified the answer is 11:12

b) 21:81 simplified the answer is 7:27

Step-by-step explanation:

not sure how you were taught but those could also be

a)  [tex]\frac{22}{24}[/tex] or simplified the answer is [tex]\frac{11}{12}[/tex]

b) [tex]\frac{21}{81}[/tex] or simplified the answer is  [tex]\frac{7}{27}[/tex]

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

Answer:

33.33333333

Step-by-step explanation:

Answer

F and G

Step-by-step explanation:

Answer:

F and G

Step-by-step explanation:

Step-by-step explanation:

Actually, ∠BDA＋∠BDC=180°

2∠BDA= 180°(CPCTC)

∠BDA= 90°

This is how BD is perpendicular to AC

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

Answer:

He got 400 coins because there are 100 cents in a dollar. 100*20=2000. 2000/5=400!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

solution in attachment

hope it helps

Answer:

Step-by-step explanation:

Ok, so remember your order of operations here.

Also, Remember that what we do to one side, we must do to the other side.

We cant solve whats in the parentheses, so that wont come first. The next best thing is the multipication of 0.8 in front of it:

0.8x(2x-4)

=

1.6x-3.2

Now lets rewrite the equation as:

1.6x-3.2=16

Now lets simply solve the rest:

1.6x=19.2

All I did is add 3.2 to both sides so I could get 1.6x on its own.

What is left is just dividing 1.6x to get 1x:

1.6x/1.6=19.2/1.6

This gets us:

x=12

This is because we divided 1.6 from both sides so that 1.6x became just x.

Answer:

12

Hope this helps!

Answer:

Step-by-step explanation:

∡a = ∡b

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

x + x + 7 + x -4 = 300

3x = 297

x = 99 First Piece

x2 = 106 Second Piece

x3 = 95 Third piece

Step-by-step explanation:

Answer:

V = 125 cubic units

Step-by-step explanation:

The formula for volume is length x width x height. Now we must solve.

Solve:

5 x 5 x 5 = 125

125 cubic units

Answer:

125 units^3

Step-by-step explanation:

To find the volume of a cube (a figure with all the same side lengths) you multiply any length by itself 2 times or cube it

5^3 = 5*5*5 = 125 units^3

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

[tex]3(7)+8[/tex]

[tex]3(7) = 21[/tex]

[tex]21 + 8[/tex]

[tex]= 29[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

...

Step-by-step explanation:

the coefficients are 4, 7, 4, 6

12 mols of h20 will be produced

9514 1404 393

Answer:

  a) 600

  b) see below

  c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

  y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

__

b) see attached for a graph

__

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

  150 = 600·3^(-x)

  150/600 = 3^(-x)

  log(1/4) = -x·log(3)

  x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

Answer:

70x - 64

Step-by-step explanation:

Answer attached.....

Hope it helps:)