A game board consists of 64 squares that alternate in color between black and white. The figure below shows square $P$ in the bottom row and square $Q$ in the top row. A marker is placed at $P$. A step consists of moving the marker onto one of the adjoining white squares in the row above. How many 7-step paths are there from $P$ to $Q$ ? (The figure shows a sample path.)

Answer:

Step-by-step explanation:

Try working this out with decimals

3/8 = 0.375

5/6 = 0.833     Add these

Total = 1.20833

Now divide by 5

1.20833/5

.24166

I think I would use this as my answer, but if you want fractions ...

3/8 + 5/6      The common denominator is 24

3*3/3*8 = 9 / 24

5*4/6*4 = 20/24

9/24 + 20/24 = 29/24

Now divide by 5

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

29 / 24 // 5/1                      Invert the denominator and multiply

29/24 * 1/5 = 29/120      

Does that equal the decimal result that we got?

29/120 = .24166 which is the same thing. The fractions are a little harder to handle than the decimals.

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:

Y = 3/5x + 2

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{5} x+2[/tex]

Note: Consider we need to find each type of coins he has.

Given:

Erin has quarters and nickels for a total of 16 coins.

The value of his coins is $2.60.

To find:

The number of each type of coins.

Solution:

Let x represent the number of quarters and y represent the number of nickels.

According to the question,

Total coins : [tex]x+y=16[/tex]        ...(i)​

Total value : [tex]0.25x+0.05y=2.60[/tex]        ...(ii)​

Multiply equation (i) by 0.25 and subtract the result from (ii).

[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]

[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]

[tex]-0.20y=-1.40[/tex]

Divide both sides by -0.20.

[tex]y=7[/tex]

Put y=7 in (i).

[tex]x+7=16[/tex]

[tex]x=16-7[/tex]

[tex]x=9[/tex]

Therefore, the number of quarters is 9 and number of nickels is 7.

Answer:

2.6 x 0.47 = 1.222

Step-by-step explanation:

Answer: The answer is [tex]18c^{2}[/tex]-[tex]12cw[/tex]-[tex]5w^{2}[/tex]

Step-by-step explanation:

The first thing you want to do is to add the [tex]9c^{2}[/tex] to the other one. You add instead of subtracting because the second one has a minus sign, and there is a minus sign in front of the parentheses. Two minus' make a plus. Adding these two together gives you a sum of [tex]18c^{2}[/tex].

Next, you want to simplify 9cw. Remember that since 9cw is positive, and there is a minus sign if front of the parentheses, you need to subtract here. Subtracting 3cw and 9cw gives you a difference of [tex]-12cw[/tex]. The new equation is [tex]18c^{2}-12cw[/tex].

Finally, we need to combine -w2 with -6w2. Remember that -w2 has a minus sign in front of it, so you need to add w2 to -6w2. This gives you [tex]-5c^{2}[/tex]. You combine this answer with the two answers above, and you get: [tex]18c^{2}-12cw-5w^{2}[/tex]. I hope this helps.

Answer:

last one

Step-by-step explanation:

2.50h+10=31.25

because

2.50*h tells you how much you pay for the hours the dogs is at the daycare

10 is you pay for pick-up

31.25 is your total

Answer:

a. f(x) = 21 (20) +1 (25) = 445

b. The scenario is a function because each student just have to pay once.

Answer:

I actually think it’s c I’m sorry if I’m wrong

Step-by-step explanation:

Answer:its B guys not c because kendra should of divde both by 2 and not multiplie it by 2 trust me

Step-by-step explanation:

It is B not A,C,D!

Answer:

the answer is 15. brainliest if correct..

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Answer:

x = 10/27

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

9/5x = 2/3

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

And we have our final answer!

Answer:

x = 10/27

Step-by-step explanation:

2/3 ÷ 9/5

2/3 x 5/9 = 10/27

Answer:

12 pastries

Step-by-step explanation:

30/2.5 = 12

check:

12(1 hour) +12(1 hour) +6(Half hour) = 30

Answer:

2

Step-by-step explanation:

given f(x) = 4x-10

to find f(3), we simply substitute x = 3 into the function:

f(x) = 4x-10

f(3) = 4(3)-10

= 12-10

= 2

Answer:

2

Step-by-step explanation:

Since f(3), replace all the x's with 3s

f(3) = 4(3) - 10

Answer:

Step-by-step explanation:

Answer:

Slope=1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where x1,y1= (1, 1) and X2,y2=(-3, -3)

Slop=1+3/1+4

=4/4

=1

So the slope is 1.

Answer:

1

Step-by-step explanation:

Here,

x₁ = 1 and x₂ = (-3)

y₁ = 1 and y₂ = (-3)

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)

= 1 + 3 ÷ 1 + 3

= 4 ÷ 4 = 1

Thus, Slope is 1

-TheUnknownScientist

Answer:

50 pounds of fruits sold January

Step-by-step explanation:

5X = 250

divude both sides by 5 to get x

x = 50

Answer:

$39.02

Step-by-step explanation:

$12.34 *3=37.02

$3.5*2=7

37.02+7=39.02

Answer:

p=-2/3a + 6

a=-1 1/2p + 9

a= -3p+18/2

Answer:

B C and E

Step-by-step explanation:

got it right on edge after clicking A instead of B

Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

Given

[tex]R = (-2,-3)[/tex]

[tex]M = (1,0)[/tex]

Required

Determine the coordinates of S

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (1,0)[/tex]

[tex](x_1,y_1) = (-2,-3)[/tex]

Substitute these values in the above formula:

[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]

Multiply through by 2

[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]

[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]

By direct comparison:

[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]

Solving for x2

[tex]2 = -2 + x_2[/tex]

[tex]x_2 = 2 + 2[/tex]

[tex]x_2 = 4[/tex]

Solving for y2

[tex]0 = -3 + y_2[/tex]

[tex]y_2 = 0 + 3[/tex]

[tex]y_2 = 3[/tex]

Hence, the coordinates of S is: [tex](4,3)[/tex]

Answer:

[tex]m = -\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]P_1 = (-1,3)[/tex]

[tex]P_2 = (5,-1)[/tex]

Required

Determine and interpret slope

Slope is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-1,3)[/tex]

[tex](x_2,y_2) = (5,-1)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-1 - 3}{5 - (-1)}[/tex]

[tex]m = \frac{-1 - 3}{5 +1}[/tex]

[tex]m = \frac{-4}{6}[/tex]

[tex]m = -\frac{2}{3}[/tex]

The above slope is negative and it implies that x increases when y decreases and vice versa.

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

Answer:

she did 46 jumping jacks per minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

total ounces=500,000

cost per ounce= $460

total amount of the ounce= 500,000*460= $230000000

Time t=3years

rate= 5.17%= 0.0517

Step two:

The inflation we have a compounding effect on the amount

$230000000

A=P(1+r)^t

A=230000000(1+0.0517)^3

A=230000000(1.0517)^3

A=230000000*1.1632

A=$267,536,000

They will receive a total of  $267,536,000

Answer:

hundresths is correct

Answer:

Step-by-step explanation:

.09 the 9 is hundredth place the 0 is tenth place

Answer:

C (10×4) ÷ 2

Step-by-step explanation:

C is the answer because if you do an equation,

10 multiplied by 4 (10×4)

Then, she wants to share the dolls equally for her brother

This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.

C provides the correct answer with 20. 40/2 is 20

Answer:

288

Step-by-step explanation:

288+248=536

Answer:

C) The two balloons do not have to touch for repulsion to be observed.

Step-by-step explanation:

Answer:

The range is 3.6

Step-by-step explanation

The range is equal to the largest # - the smallest #

Which mean: 11.8 - 8.2= 3.6

Step-by-step explanation:

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