The ratio of red to green tiles in a pattern is 2:3
What fraction of the tiles are green

Answer:

0.621

Step-by-step explanation:

Number of people that have run a red light in the last year = 290

Number of people that have not run a red light in the last year = 177

Total number of respondents = 290 + 177

                                                 = 467

Pr(if a person is chosen at random, they have run a red light in the last year) = [tex]\frac{number of people who has run the red light last year}{total number of respondents}[/tex]

                   = [tex]\frac{290}{467}[/tex]

                   = 0.621

The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.

Answer: Total cost at Aqua town = 4.50+0.75x

Total cost at Splash world = 2.50+1.25x

Step-by-step explanation:

Total cost = Admission charge + Charge per ride x Number of rides

Let x= Number of rides.

Aqua town charges 4.50 admission plus 0.75 for each ride.

Total cost at Aqua town = 4.50+0.75x

Splash world is 2.50 admission plus 1.25 per ride.

Total cost at Splash world = 2.50+1.25x

The required expressions:

Total cost at Aqua town = 4.50+0.75x

Total cost at Splash world = 2.50+1.25x

Answer:

Step-by-step explanation:

The rule for 180 and 180 degree rotation is this  (x,y)→(−x,−y)

180 and 180 degree rotation is this  (x,y)→(−x,−y)

Step-by-step explanation:

Answer:

6 chickens, 11 cows.

Step-by-step explanation:

x - chickens

y - cows

x + y = 17

2x + 4y = 56   <-- chickens have 2 legs, cows have 4.

y = -x + 17

Substitute (-x+17) for y in the second equation.

2x  + 4(-x + 17) = 56

2x -4x + 68 = 56

2x = 12

x = 6 chickens

Now substitute 6 for x

6 + y = 17

y = 11 cows

Answer:

Step-by-step explanation:

Bob's portion of the allotment :

[tex]Total\:ratio=3+2 =5\\\\= \frac{2}{5}[/tex]

Alice's portion :

[tex]Total\:ratio=3+2 =5\\\\= \frac{3}{5}[/tex]

Vegetables are :

[tex]Total\:ratio=7+3 =10\\\\= \frac{7}{10}[/tex] of the total area

Vegetables are :

[tex]Total\:ratio=4+1 =5\\\\= \frac{4}{5}[/tex] of Alice's portion, or:

[tex]\frac{4}{5} \times(\frac{3}{5} ) = \frac{12}{25}[/tex]

Bob's portion fraction (b):

[tex]\frac{12}{25} + b = \frac{7}{10}[/tex]

L.C.M of 25 and 10 =50

[tex]\frac{24}{50} + b = \frac{35}{50} \\\\b =\frac{11}{50}\\\\ Ratio:\\50 - 11 = 39[/tex]

Bob's vegetable to fruit ratio is 11 : 39

Answer: 9 + 7n - 3 and 62

Step-by-step explanation:

Answer:

Write and evaluate the expression. Then, complete the statements.

nine more than the product of seven and a number, decreased by three

The expression to model the situation is  

✔ 9 + 7n – 3

.

The value of the expression when n = 8 is  

✔ 62

.

Step-by-step explanation:

Answer:

g(x-3)=2(x-3)-6

Step-by-step explanation:

just plug in x-3 wherever there is an x value in the original equation

Answer:Factor it into its prime factors:

180 / 2 = 90

90 / 2 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

2 x 2 x 3 x 3 x 5

All of those factors pair should pair up in 3 members to make cube

2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000

Smallest no. = 2 x 3 x 5 x 5 = 150

Step-by-step explanation:

Answer: 16 of the students are girls.

Step-by-step explanation:

3/5 = boys —> 60% of students.

2/5 = girls —> 40% of students.

40% = 0.4

G = 40 * 0.4

G = 16

Answer:

(2, -5)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution set to the systems of equations.

Answer:

168 books

Step-by-step explanation:

According to problem, given data are as follows:

Total books for sale = 280 books

Sold on first day = 3 out of 5 books

So, percentage of first day sold = 3 ÷ 5 = 0.6 or 60%

So, we can calculate the total books sold on day one by using following method,

Total books sold on first day = Total books for sale × percentage sold

By putting the value, we get

= 280 books × 60%

= 168 books

Answer:

Option 'C' is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

We are given that an equation that represents a line in which intercepts the vertical axis at b, assuming m≠0, b ≠ 0, and m≠b.

As the line intercepts the vertical (y-axis) at b.

Therefore, 'b' is the y-intercept of the line.

Also, the slope is m.

Thus, according to the slope-intercept form of the line equation, the equation is:

y = mx+b

Therefore, option 'C' is correct.

Answer:

125πkm

Step-by-step explanation:

The figure shown is a cylinder :

Volume of a cylinder is obtained using tbe relation :

V = πr²h

Where ; r = Radius ; h = height

r = 5km ; height = 5km

Hence,

V = π * 5² * 5

V = 25 * 5 * π

V = 125πkm

Answer:

b = -1

Step-by-step explanation:

3 - 2(b - 2) = 2 - 7b (Use the distributive property)

3 - 2b + 4 = 2 - 7b (Add 3 and 4)

7 - 2b = 2 - 7b (Add 7b to both sides)

7 - 2b + 7b = 2 (Add -2b to 7b)

7 + 5b = 2 (Subtract 7 from both sides)

5b = 2 - 7 (Subtract 7 from 2)

5b = -5 (Divide both sides by 5)

b = -5/5 (Divide -5 by 5)

b = -1

Work Check: (Substituting b for -1)

3 - 2(b - 2) = 2 - 7b

3 - 2(-1 - 2) = 2 - 7(-1)

3 - 2(-3) = 2 - (-7)

3 - (-6) = 2 - (-7)

3 + 6 = 2 + 7

9 = 9

That is true, so b = -1

Answer:

The answer must be R is approximately equal to C because as you can see on the picture, Triangle AKR is upside down from MYC, and R is the pointy edge on the AKR triangle, and C is the pointy edge on the MYC triangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sale price = £376.20  

reduced by =  43%

original price = ??

sale price = original price ( reduced rate)

  £376.20 = original price ( 43% )

                                              100

original price = £874.88

Answer:

X= 43/3

Step-by-step explanation:

-1/4 x 5 = 3/4x - 12

-5/4=3/4x -12

-5=3x - 48

-3x-5 = -48

-3x = -48 + 5

-3x= -43

-3 x= -43

X= 43/3

Answer:

1.5

Step-by-step explanation:

2/4 = .5

4/4 = 1

1 + .5 = 1.5

Answer:

2/4 + 4/4-(from what I learn when the denominators are the same you add normally thus:)

2+4

-------

4

=6/4 (then you reduce but because the top number is bigger you divide)

6÷4

=1 and 2 remaining

=1 ²/4

I'm not good at explaining but that's what my teacher would've told me

Answer:

y=-x+8

Step-by-step explanation:

Plug in (7,1)

Answer:

p=0.78837351631052428187102047390789

n=5

Answer:

A

Step-by-step explanation:

The y intercept = (0,0) since the c value = 0.

Since the numerical coefficient of x^2 is > 0, the graph opens upward.

a = 1

b = 7

c = 0

The Table describing all the conditions is A

Answer:

hccbbx bbn nnjjjhjjjhjjhhhh

Answer:  The area of the bottom figure is 5/8 ft²

Step-by-step explanation:  The area of a triangle is half of the base times the height. Multiply the dimensions given, then divide by 2 or multiply by 1/2

The base of the top diagram is obscured by the timer.

The bottom will be 3/4 × 5/3

Multiply numerators straight across : 3 × 5 = 15

Multiply denominators straight across :  4 × 3 = 12

15/12  Simplify to 5/4 and take half (multiply by 1/2)

The result is 5/8 square ft.

The Area of the given triangle is [tex]\frac{5}{8} \; square feet[/tex],  using the provided information base 5/3 feet and the length 3/4 feet.

Area of the triangle is the area formed that is inside the triangle.

The formula for the area of the triangle is 1/2 times base times height

From the given diagram , the base of the triangle is 5/3 feet

height of the triangle is 3/4 feet

Subsitute the values of the base and height inside the formula

and find out the area of the triangle

[tex]Area = \frac{1}{2} \cdot base \cdot height \\Area = \frac{1}{2} \cdot \frac{5}{3} \cdot \frac{3}{4}[/tex]

Cancel out 3 from top and bottom

[tex]Area=\frac{5}{8}[/tex]

the Area of the given triangle is 5/8 square feet

Learn more about 'Area of triangle ' here

brainly.com/question/89544

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The hotdog costs $4.50

The soda costs $2.00

Answer:

1g

Step-by-step explanation:

64

32

16

8

4

2

1

Answer:

1. a=90; b=110

2. a=140

3. b=105

4. c=60

5. d=50

Step-by-step explanation:

For Problem 1, A can be found by adding up all the exterior angles and minus the final number by 360. The final number is 270, and 360-270=90, so a=90. To find b, you need to do 180-70=110, so b=110 Another way you could do it is get the original number as 360 and minus all the angles until you get the variable's angle.

For problem 2, you can do the same thing you did to find A in problem 1, which is 140.(360-120-100=140)

For problem 3, we can do the same as the problems before us, so b would be   105. (360-95-70-90=105)

For problem 4, we get c as 60 (360-55-55-90-100=60)

Problem 5 would be d=50 (360-70-70-70-60-40=50)