There are 17 trees along the road from Basil's home to a swimming pool. On his way way to and from a swim Basil marks some trees with a red stripe. On his way to the pool he marks the first, the third, the fifth tree and so on. On his way back again, he marks the first tree he comes to, the fourth tree, the seventh tree and so on, missing out two trees each time. By the time he gets home how many trees have no mark?

Answer:

see below

Step-by-step explanation:

The trip takes 2 hours

Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours

We would not stop at 2 hours because we would be done.

One the number line R means rest stops

200 Km /4 means at 50 km, 100 km 150 km and 200 km

The rest stops are at 50 km 100 km 150 km  (the one at 200 is at the end of the trip so it is not a rest stop

We have to stop for gas 3/4 of the way

200 *3/4 = 150 km

We will stop for gas at a rest stop at 150 km

Answers and Step-by-step explanations:

(a)

We want to find where to stop, so let's calculate the distances between the different rest points.

This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:

200 = r * 2

r = 100

Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).

See attachment.

(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:

(3/4) * 200 = 600 / 4 = 150 km

So, mark the place that is 150 km (blue on attachment).

See attachment.

Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).

Answer:

C i think

Step-by-step explanation:

Answer:

[tex] - 7x + 34[/tex]

Step-by-step explanation:

[tex]5x - 4(3x - 9) - 2 \\ 5x - 12x + 36 - 2 \\ = - 7x + 34[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-7x + 34

Step-by-step explanation:

Hopefully this is simplify...

5x - 12x + 36 - 2

-7x + 34

Answer:

t = 0.77

Step-by-step explanation:

D(t) = 50 - 23 sin(π(t + 0.23))

The value of the sine function has a maximum of -1 and a minimum of 1.

The average value of the sine function is 0.

At maximum sine value:

D(t) = 50 - 23(1) = 50 - 23 = 27

At minimum sine value:

D(t) = 50 - 23(-1) = 50 + 23 = 73

At average sine value of 0:

D(t) = 50 - 23(0) = 50 - 0 = 50

The average depth of the waves is 50 cm.

Now we need to find at what time, t, that occurs.

D(t) = 50 - 23 sin(π(t + 0.23)) = 50

50 - 23 sin(π(t + 0.23)) = 50

-23 sin(π(t + 0.23)) = 0

sin(π(t + 0.23)) = 0

The value of the sine is 0 at 0, π, 2π, ..., nπ

π(t + 0.23) = nπ

t + 0.23 = n

t = n - 0.23

n is all integers, but here we are concerned with the first occurrence after time equals zero, so we want n = 1.

t = 1 - 0.23

t = 0.77

Reading the story, that's just

2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80

Answer: $80

Answer:

$80

Step-by-step explanation:

$9+$9= $18

$18 + $70= $88

$88 - $8= $80

Answer:

45%

Step-by-step explanation:

divide $225 by $500

Answer: 45

Step-by-step explanation:

divide 225 with 500

Answer:

the answer is $36.04

Step-by-step explanation:

34 dived into 100= 0.34 times 6 equals 2.04 34+2.04=36.04

Answer: P = 4/52 = 0.077 or 7.7%

Step-by-step explanation:

I will answer in English.

We have a deck of 52 cards, and we want to find the probability of drawing, at random, a 1.

We have 4 1's in the deck, one for spades, one for hearts, one for diamonds and one for clovers.

So the probability can be calculated as the quotient between the total number of 1's in the deck and the total number of cards in the deck, this is:

P = 4/52 = 0.077

Answer:

15 students (30% of the students in class) scores a 95 on a quiz.

Therefore the total number of students (100% of the students) in class is:

N = 15 x 100/30 = 50 (students)

(This calculation is inferred from a ratio that 15/N = 30/100).

Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.

Then the equation that related a and b is:

b = (100/30) x a

Hope this helps!

:)

Answer:

the third one

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

–5n = 2 − 6n

–5n +6n = 2 − 6n + 6n (Addition Property of Equality)

n = 2

There is one solution to this equation. The value of 'n' is 2.

Answer:

n = 2 thus 1 solution

Step-by-step explanation:

Solve for n:

-5 n = 2 - 6 n

Add 6 n to both sides:

6 n - 5 n = (6 n - 6 n) + 2

6 n - 6 n = 0:

6 n - 5 n = 2

6 n - 5 n = n:

Answer: n = 2

Answer:

B

Step-by-step explanation:

First thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 130, mean = 120 and SD = 10

Substituting these values

z-score = (130-120)/10 = 10/10 = 1

So the probability we want to calculate is;

P(z ≥ 1) = 1 - P(z <1)

From standard score table, P(z <1) = 0.15866

P(z ≥ 1) = 1-0.15866 = 0.84134

Answer:

0.16

Step-by-step explanation:

Answer:

14 and 17

Step-by-step explanation:

x+y=41

y=2x-1

x+(2x-1)=41

3x-1=41

3x=42

x=14

y=2(14)-1=27

Step-by-step explanation:

Step 1:  Make a system of equation

The sum of two numbers is 41

    x        +        y        =        41

The larger number is one less than twice the smaller number.

    x                =                2y               -                1

Step 2:  Substitute x from the second equation into the first

[tex]x + y = 41[/tex]

[tex](2y - 1) + y = 41[/tex]

[tex]3y - 1+ 1 = 41 + 1[/tex]

[tex]3y/3 = 42 / 3[/tex]

[tex]y = 14[/tex]

Step 3:  Substitute y into the second equation

[tex]x = 2y - 1[/tex]

[tex]x = 2(14) - 1[/tex]

[tex]x = 28 - 1[/tex]

[tex]x = 27[/tex]

Answer:  [tex]x = 27, y = 14[/tex]

Answer:

[tex]n[/tex]

Step-by-step explanation:

The expression [tex]n+1[/tex] represents infinite numbers, because [tex]n[/tex] can be all positive numbers, all negative numbers, or can be an element of the whole number field.

So, generally speaking, the numbers less than [tex]n+1[/tex] are [tex]n[/tex], because [tex]n<n+1[/tex].

Therefore, an expression less than the given one is [tex]n[/tex]

Answer:

n+1

Step-by-step explanation:

Answer:

Number of people: 5

Number of handshakes: 10

Number of people: 6

Number of handshakes: 15

Number of people: 7

Number of handshakes: 21

Number of people: n

Number of handshakes: (n * (n-1))/2

Step-by-step explanation:

(n * (n-1))/2

Use the equation above to solve for # of handshakes

Answer:

multiply by the reciprocal!

so if you have 1/(2/5) it is the same as 1 * (5/2)

Answer:

We divided the figure in picture into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13

   = 211.5

Hope this helps!

:)

Answer:

[tex]A \approx 113.10cm^2[/tex]

Step-by-step explanation:

The circle is a flat surface or area limited or closed by a circumference. It is a two-dimensional figure and is formed by making a curve where it will always have the same distance to the center. Its area can be calculated using the following formula:

[tex]A=\pi r^2\\\\Where:\\\\r=radius[/tex]

Therefore the area of the circular baking tray is:

[tex]A=\pi (6)^2=\pi*36=36 \pi=113.0973355\approx 113.10 cm^2[/tex]

Answer:

2

Step-by-step explanation:

Blue pants: 5

Zipper pants: 6

total amount of pants (blue, zipper or both): 9

to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:

sum of blue and zipper pants: 5 + 6 = 11

you can tell that there is a difference of

11 - 9 = 2 pants

this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper

Answer:

( About ) 90%

Step-by-step explanation:

We are given the table below;

Number of seconds | Amount of water

              0                 |             0

              3                 |             75

              6                 |             150

Now from this table we see that the rate change is that for every 3 seconds of difference, the amount of water increases by 75 cm^3;

If that is so, the amount of water after 7 seconds is 150 + ( 75 / 3 ), provided the difference in seconds between 6 and 7 is 1 / 3rd that of the difference between 0 and 3, or 3 and 6;

150 + ( 75 / 3 ),

150 + 25,

175 cm^3

Now let us compute the total volume of this cylinder, as such;

πr^2 * height,

π * ( 3 )^2 * 7,

9 * π * 7,

Volume of can ⇒ 197.82 cm^3

175 / 197.82 = 0.9 = Solution; 90%

Answer:

208

Step-by-step explanation:

calculator plus had the same question before

1^5 is 1

4^7 is 16384

3^10 is 59049

The answer is C

Answer:

a) 1^5 = 1

b) 4^7 = 16384

c) 3^10 = 59049

C: 2^9 ≠ 1024

The exponent 8² = 64 while 8³ = 512, but 2² = 4 while 2³ = 8.

Step-by-step explanation:

Not much explanation but hope this helps!

Answer: He was 1 minute 28 seconds faster.

Step-by-step explanation:

Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)  

Mathematically speaking:  

31m 17s - 29m 49s =

(31m-29 m) (17s-49s)=

2m -32s=

1m 60s -32s=

1m 28s

He was 1 minute 28 seconds faster.  

Feel free to ask for more if needed or if you did not understand something.  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Angle x + 71 degrees = 180

x = 109 degrees

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

The angle x is opposite the angle that is 100 degrees.

Since they are opposite each other, they are vertical angles.

This means that they are congruent, or equal to each other.

Therefore,

x=100

x is 100 degrees

Answer:

it is 1.8 im sure thats the answer

Step-by-step explanation:

Answer:1.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We want to simplify [tex]\frac{15x^{2} }{9x}[/tex]. The numerator and denominator both have a common factor of 3x, and when we simplify by 3x, we get 5x/3, or B.

Answer:

It is B, I got it right on edman!

Step-by-step explanation:

The correct ways can the roles be assigned is  84 ways.

To find ways can the roles be assigned.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given That:

Total individuals = 9

Available roles = 5

First, it'll be assumed that no two individual shares a role and no single individual takes two roles.

Having said this, the number of ways the roles can be assigned can be calculated using the combination formula  as follows.

ⁿCr = C(n,r)

Where n represents the total individuals

n = 9

r represents the available roles

r = 5

So,

ⁿCr = C(n,r)

⁹C₆ = C(9,6)

⁹C₆= 9!/((9-6)!*6!)

⁹C₆ = 9!/(3!*6!)

⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)

⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)

⁹C₆ = 504/6

⁹C₆ = 84

Hence, 9 roles can be assigned to 5 people in 84 ways.

Learn more about combination here:

https://brainly.com/question/16705925

#SPJ5

The missing option is

E. 84

Answer:

12

Step-by-step explanation:

3*2*6 = 36

36/3 = 12