The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?

Answer:

a values of r and a that the answer

Using the principle of direct variation, the solution to the problem given are :

Given the Parameters :

Distance = d

Amount of time = t

d α t ; d = kt

We can find k = constant of proportionality = speed of travel ;

d = 10 miles ; t = 2 hours

10 = 2k

k = 10/2

k = 5

Hence, speed = 5 miles per hour

B.) The direct linear variation expression becomes ;

d = 5t

C.) Distance traveled in 3 hours :

t = 3 hours

d = 5t

d = 5(3) = 15 miles

D. Time taken to travel a distance of 20 miles

d = 5t

20 = 5t

t = 20/5

t = 4 hours

Therefore, it will take 4 hours to travel a distance of 20 miles.

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Answer:

x = 36 is not a solution

Step-by-step explanation:

3x<100

Let x = 36

3*36 < 100

108 < 100

This is not true so x = 36 is not a solution

Answer:

This inequality is False!

Step-by-step explanation:

3x < 100

3x36 < 100

108 < 100

Since 108 is greater than 100 this statement is not true. Hope this helps:)

Answer:

AP-> and AM->

Step-by-step explanation:

They are the only two rays that directly-oppositely face one another.

Answer:

[tex]7x - 24 = 6x - 2 \\ collecting \: like \: terms \: \\ 7x - 6x = - 2 + 24 \\ 1x = 22 \\ x = \frac{22}{1} \: \: or \: \: x = 22[/tex]

Answer:

x = 22

Here's how i got it ^u^

7x - 24 = 6x - 2

Step 1: Subtract 6x from both sides.

 7x - 24 = 6x - 2

- 6x         - 6x

   x - 24 = - 2

Step 2: Add 24 to both sides.

x - 24 = - 2

 + 24   + 24

which TA-DA!!! it equals x = 22

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

Answer:96 green pens

7x ,3x,4x

assume that the  black pens amd red pens  and green pens are sold respictely

7x.2+3x.5+4x.6=212

53x=212

x=4

number  of green pens sold

4x.6=4x4x6=96

Answer:

1 cup of flour is needed to make 18 cookies

Answer:

so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b

Answer:

2.25 Sharks to 1 lion fish

Step-by-step explanation:

1350 sharks / 600 lion fish =2.25

Answer:

0.19+0.46i and 0.19-0.46i

Step-by-step explanation:

[tex]\neq (-b+\sqrt{b^2-4ac} )/2a\\and\\(-b-\sqrt{b^2-4ac} )/2a\\\\a=8\\b=3\\c=2\\(-3+\sqrt{3^2-4*8*2} )/(2*8)\\= - 0.1875+0.463512i\\(-3-\sqrt{3^2-4*8*2} )/(2*8) = -0.1875-0.463512i[/tex]

hope its right

Step-by-step explanation:

(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)

-x^3+x^2-1

1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰

1100 1011₂ = 128 + 64 + 8 + 2 + 1

1100 1011₂ = 203

Answer:

x = 6

Step-by-step explanation:

150 - x - 2x = 120 + 2x

place the like terms at the same side . So,

150 - x - 2x - 2x - 120 = 0

now add/subtract like terms

30 - 5x = 0

adding 5x on the both sides

30 = 5x

30/5 = x

6 = x

y = -x + 3

y = -(x + 12)

y = -x - 12

Answer:

4 Cups of Flour

Step-by-step explanation:

Answer:

(4*2-3)(x+8)

(8-3)(x+8)

8(x+8)-3(x+8)

8x+64-3x-24

8x-3x+64-24

5x+40

Answer:

96

Step-by-step explanation:

[tex]x:11 = \frac{1}{3} :6[/tex]

[tex] \frac{x}{11} = \frac{ \frac{1}{3} }{6} \\ \frac{x}{11} = \frac{1}{18} [/tex]

[tex]11 \times \frac{x}{11} = 11 \times \frac{1}{18} [/tex]

[tex]x = 11 \times \frac{1}{18} [/tex]

[tex]x = \frac{11}{18} [/tex]

Answer:

y = -3x + 4

Step-by-step explanation:

To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:

-6/2 = -3

To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.

mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.

Answer:

y = -3x + 4

Step-by-step explanation:

m = the slope (rise/run)

b = y-intercept

we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)

- that means that m = 6/2 or m = 3

y = 0  when x = 4, so the y-intercept is 4, or b = 4

put it together!

y = 3x +b

BUT WAIT!!

- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.

   - why? the rise is decreasing!

final equation --------> y = -3x + 4

Answer:

F' = (2 , -4)

G' = (-1 , -3)

H' = (4 , 0)

I' = (5 , -2)

Step-by-step explanation:

To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:

(x , y) → (-x , y)

Using this will give the points of F', G', H', and I'.

To find the new points, plug in the values into the formula:

F → F' = (-2 , -4) → (2 , -4)

G → G' = (1 , -3) → (-1 , -3)

H → H' = (-4 , 0) → (4 , 0)

I → I' = (-5 , -2) → (5 , -2)

To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.

Graph 1 - no

Graph 2 - no

Graph 3 - yes

Graph 4 - no

Graph 5 - no

Graph 6 - yes

Good luck !!

Answer:

x+5 > 4

Step-by-step explanation:

x+5 > 4 can be changed to

 -5 .   -5

x>-1

that is what is shown