Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 5 vertical stripes, all of different colors.

How many possible flags can be created

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

Answer:

 The answer is L'(-2,2), M' (-6,4), and N' (-5,-4)

Step-by-step explanation:

Mapping Rule for 90 Counterclockwise Rotations

1) switch the x and y coords

2) multiply the new x coords by -1

3) Simplify

(x,y) --> (-y,x)

Example Problem

Rotate the point N(2,-4) 90 counterclockwise around the origin.

N(2,-4) --> N' (4,2)

I hope this helps you. I know the example problems always helped me understand.

Answer:

Step-by-step explanation:

The correct answer is B. I'm pretty sure about it. Thank you.

Answer:

x=6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x+4x−68=34−8x

5x+4x+ −68=34+ −8x

(5x+4x)+(−68)=−8x+34(Combine like terms)

9x+−68=−8x+34

9x−68=−8x+34

Step 2: Add 8x to both sides.

9x −68+ 8x= −8x +34 +8x

17x −68 =34

Step 3: Add 68 to both sides.

17x −68 +68= 34 +68

17x=102

Step 4: Divide both sides by 17.

17x /17=  102/17

                                X=6   > final answer hope i could help :)

Step-by-step explanation:

Let's step through this line by line, looking for a spot where the friend could have made a mistake.

[tex]5x+4x-68=34-8x\\5x+4x=102-8x\\5x+4x+8x=102\\17x=102\\x=6[/tex]

So, where could the friend have made their mistake? The key here is the transition from step 1 to step 2. What if we had subtracted 68 instead of adding it?

[tex]5x+4x-68=34-8x\\5x+4x=-34-8x\\5x+4x+8x=-34\\17x=-34\\x=-2[/tex]

There it is. The friend's problem was that they had accidentally subtracted 68 to both sides when they should have added it.

Answer:

333333.3

Step-by-step explanation:

The exact answer is

333333.333333

:)

Answer:point form= (-10,16)

Equation form : x=-10,y=16

Step-by-step explanation:

Answer:

point form (-10,16) equation Form: x=10,y=16

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Pardon the bad handwriting

ok so basically i got =2rx8y9

Answer:

Adult tickets are $24 each and children tickets are $13 each.

Step-by-step explanation:

I know

Answer:

Alternate interior angle yes

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

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1. (bh)/2 or (4 x 3)/2 = 6

2. (8 x 12)/2 = 48

3. (11.25 x 15.6)/2 = 87.75

4. (9 x 10)/2 = 45

Answer:

m = 3

Step-by-step explanation:

-5m - 10 = -25

-5m = -15

m = 3

Answer:

[tex] - 5m - 10 = - 25 \\ - 5m = 10 - 25 \\ - 5m = - 15 \\ m = \frac{( - 15)}{ (- 5)} \\ \boxed{m = 3}✓[/tex]

Answer:

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Step-by-step explanation:

We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).

We have to translate the quadrilateral MNPQ using vector <3,-4>

The translate the coordinates of vertices (x,y) using the vector <a,b>  is given by the rule

[tex](x,y)\rightarrow (x+a,y+b)[/tex]

Using the rule

The new coordinates of M

[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]

[tex](-3,-2)\rightarrow (0,-6)[/tex]

The new coordinates of N

[tex](-1,4)\rightarrow (2,0)[/tex]

The new coordinates of P

[tex](2,4)\rightarrow (5,0)[/tex]

The new coordinates of Q

[tex](4,-2)\rightarrow (7,-6)[/tex]

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Answer:

5,840 minutes

Step-by-step explanation:

Assuming there are 365 days in a year. If finn brushes his teeth 3 times , for 2 min each time then the time spent to brush his teeth in  a day

=3 * 2 minutes

= 6 minutes

If he flosses twice a day , for 5 minutes each time, then the time spent in a day to floss

= 2 * 5 minutes

= 10 minutes

Hence total time spent in a day brushing and flossing

= 6 + 10

= 16 minutes

Hence the time spent in  a year brushing and flossing

= 16 * 365

= 5,840 minutes

Answer:

396 cm²

Step-by-step explanation:

This may look complex, but it's actually an easy one.

The length of the left hand side is 27 cm, while the length of the right hand side is 9 cm. Subtracting 9 from 27, we have 18 cm

Also, the breadth of the bottom is 24 cm, while the breadth of the top is 10 cm. Subtracting 10 from 24, we have 14 cm.

Now, to find the area, we divide the diagram into 2. Taking the breadth first, we have breadth of 24 cm and it's relatively small height of 9 am.

Area of a rectangle is l * b, = 24 * 9 = 216 cm

Now, we look at the remaining part of the diagram. The length with a height of 18 cm, and a breadth of 10 cm. Area of a rectangle is l * b, = 180 cm

Adding both calculations together, we have 180 + 216 = 396 cm²

Answer:

interestinggggggggggggg

Answer:

[tex]V = 245\frac{1}{3} in^{2}[/tex]

Step-by-step explanation:

The volume of a pyramid is equal to the area of the base times height divded by three so

[tex]V = \frac{A_{base} h }{3} \\V = \frac{(8^{2})(11.5) }{3} \\V = \frac{736}{3} \\V = 245\frac{1}{3} in^{2}[/tex]

Answer:

245 1/3

Step-by-step explanation:

Answer:

Find the corresponding y-value to x=−3.

Substitute −3 in for x.

y=−4(−3)²+8(−3)+8

Simplify −4(−3)²+8(−3)+8

y=−36−24+8 => y=−52

Find the first derivative and evaluate at x=−3 and y=−52 to find the slope of the tangent line.

Plug the slope and point values into the point-slope formula and solve for y

y=32x+44

Step-by-step explanation:

Answer:

738,000,000

Step-by-step explanation:millions you add 6 zeros. hope this helped

Answer:

= 7.38 × 108 I hope this helps

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

y is inversely proportional to x setup:  y = k/x

'k' is the constant of variation; find this first

7 = k/9

k = 63

now use 'k' to find 'y'

y = 63/21

y = 3

Answer:

126?

Step-by-step explanation:

The value of x from the given equation is 3/5.

The given equation is 75/5 x=9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

75/5 x=9

⇒ 75x=45

⇒ x=45/75

⇒ x=3/5

Therefore, the value of x from the given equation is 3/5.

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Answer:

(c). Angle 12 and 9

Step-by-step explanation: