Select all the expressions that have the same value.

White and black shapes are used in a game Some of the shapes are circles All the other shapes are squares The ratio of white to

PIT_PIT [208]

Answer:

The fraction of all shapes which are square in shape is $\frac{23}{32}$ .

Step-by-step explanation:

Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.

The ratio of white to black shapes are 5:11.

Consider 5x= the number of shapes which are white in color.

11x= The number of shapes which are black in color.

There are (5x+11x)= 16x shapes in the game.

The white circle and white square are in the ratio 3:7.

The number of white square is

$=(\textrm{The number of white shape})\times (\frac{7}{3+7})$

$=(5x)\times (\frac{7}{10})$

$=\frac{7x}{2}$

The black circles and black square are in the ratio 3:8

The number of black square is

$=(\textrm{The number of black shape})\times (\frac{8}{3+8})$

$=(11x)\times (\frac{8}{11})$

=8x

Therefore the total number of shape which are square is

$=\frac{7x}{2}+8x$

$=\frac{7x+16x}{2}$

$=\frac{23x}{2}$

The fraction of all shape are square is

$=\frac{\textrm{shape in square}}{\textrm{Total number shape}}$

$=\frac{\frac{23x}{2}}{16x}$

$=\frac{23}{32}$

5 0

3 years ago

Jillian measured the distance around a small fish pond as 27 yards. Which would be a good estimate for the distance across the p

ankoles [38]

27 (circumference) ➗ 3.14 (pi) = 8.59 (diameter)

Distance across (diameter) would be closest to 9.

4 0

3 years ago

if a person's total comes to $32.45 and they give you $45.50 but you accidentally type in $40.32 what change would you get them

cupoosta [38]

Answer:

you would give back $7.87. But if you add the $40.50 instead you would give them $8.05

Step-by-step explanation:

4 0

4 years ago

Carla pays $20 per month for her phone service, plus $0.08 for each long

Kisachek [45]

Answer:

Slope = 0.08 dollars per minutes.

Step-by-step explanation:

Carla pays $20 per month for her phone service, plus $0.08 for each long-distance minute used.

Therefore, if Carla talks for m minutes in the long-distance call, then the situation can be modeled by the equation

C = 20 + 0.08m ............ (1), where C is the total cost for her phone service per month.

Here, 20 is the fixed price and 0.08m is the variable price for her phone charges.

This equation (1) represents a straight line with y-intercept as 20 and the slope as 0.08, where m plotted along x-axis and C is plotted along the y-axis. (Answer)

3 0

3 years ago

For a science project 30 students are divided into a group of six each group needs a piece of string that is 2 1/2 feet long mr.

Anuta_ua [19.1K]

Answer:

66 inches

Step-by-step explanation:

1. Yards to Feet:

1 yard= 3 feet

(6 yards)(3)= 18

6 yards = 18 feet

2. Number of Groups:

30 students/6 students per group= 5 groups

3. Total String Needed:

(5 groups)x(2.5 feet string)= 12.5 feet total string

4. Remaining String:

18 feet-12.5 feet= 5.5 feet

5. Feet to Inches:

1 foot= 12 inches

(5.5 feet)(12)= 66 inches

66 inches of string will remain

3 0

3 years ago