Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure 5/6 meters on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway? (whoever answers the question first correctly will get brainiest.)

9514 1404 393

Answer:

  a) 3003

  b) 1419

Step-by-step explanation:

a) With no restrictions, the problem amounts to counting the number of combinations of 14 people taken 6 at a time. That is ...

  14!/(6!(14-6)!) = 3003 . . . teams with no restrictions

__

b) With the restrictions, there are two cases:

  (i) all 6 people are taken from the 12 that exclude the couple. That number of combinations is ...

  12!/(6!(12-6)!) = 924

  (ii) 4 people are taken from the 12 that exclude the couple, and the couple fills the last two team slots. That number is ...

  12!/(4!(12-4)!) = 495

The sum of the counts of these two cases is ...

  924 +495 = 1419 . . . teams with inseparable couple

Answer:

Step-by-step explanation:

d

Answer:

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

Answer:

7 2/3 is the answer but it is equal to 23/3.

Step-by-step explanation

23/3 is an improper fraction. I hope this helps you!

Answer:

C : 6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

EG = EF + FG

Its given in the question that -

• EF = 9

• FG = 11

So,

EG = 9 + 11 = 20

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Answer:

I'm pretty sure it's -5.7

Answer:

b

Step-by-step explanation:

only b is true

Answer:

for example the PF of 32 is 2*2*2*2*2 or 2^5

Step-by-step explanation:

Answer:

It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.

Answer:

C. 2, 4, 8, 16, 32

Step-by-step explanation:

C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.

Answer:

The vertex is the minimum.

Step-by-step explanation:

the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

Answer:

Opposite 12= -12

Absolute value of 12: Just -12.

Step-by-step explanation:

I don't know.

Answer:

-2.6

Step-by-step explanation:

3x+2x+9=10-14

5x+9=10-14

5x+9=-4

5x=-4-9

5x=-13

x=-13/5

x=-2.6

Answer:

If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000

Step-by-step explanation:

Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.

Hope this helps :)

Answer:

Step-by-step explanation:

y = 15

The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Then the ratio will be

22 / 10 = 33 / y = x / 12

From first two terms, we have

22/10 = 33/y

      y = 15 units

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

14 > 6

Step-by-step explanation:

because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number

Answer:

4.8 and 0.6

Step-by-step explanation:

Answer: M(-4,7)P(0,5)Q(-2,1)

Step-by-step explanation:

The translation is telling you to subtract each x value by 4 and add 1 to each y value.

Answer:

19 is a prime number. 40 is a composite number

Step-by-step explanation:

40 can be divided by number other than 1 and its self

19 can only be divided by 1 and itself

Answer:

19 is composition 40 is prime number

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Answer:

D

Step-by-step explanation:

Race through running: 8/18th's

Race through cycling: 9/18th's

Total race covered is: 17/18th's