Choose all that are correct.

Aidan is participating in an 8 mile walk for his favorite charity. The organizers used a coordinate grid to plot the course. The

Travka [436]

Answer:

Aidan is 2 miles far from the ending point when he reaches the water station.

Step-by-step explanation:

The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:

From starting point to ending point:

$D = \sqrt{(3-3)^{2}+(9-1)^{2}}$ (Eq. 1)

$D = 8\,mi$

From starting point to water station:

$d = \sqrt{(3-3)^{2}+(7-1)^{2}}$ (Eq. 2)

$d = 6\,mi$

The distance between the water station and the ending point is:

$s = D-d$ (Eq. 3)

$s = 8\,mi-6\,mi$

$s = 2\,mi$

Hence, Aidan is 2 miles far from the ending point when he reaches the water station.

3 0

2 years ago

There are 180 girls in a mixed school. lf the ratio of girls is to boys is 4:3 , the total number of students in the school is w

Angelina_Jolie [31]

Answer:

315

Step-by-step explanation:

No. of girls be g

No. of boys be b

g= 180

g/b = 4/3

b = 3g/4

b= 3(180/4)

b= 3*45

b= 135

.

Find b+g

= 135 + 180

= 315

3 0

3 years ago

The population of rabbits on an island is growing exponentially. In the year 2008, the population of rabbits was 7100, and by 20

olganol [36]

Answer:

Unknown answer so ye that mean I'm not sure about it

Step-by-step explanation:

Unknown answer so ye that mean I'm not sure about it

4 0

2 years ago

one night a theater sold 548 movie tickets. an adult’s costs $6.50 an child’s cost $3.50. in all, $2,881 was takin in. how many

gavmur [86]

Answer:

321 adult tickets
227 child tickets

Step-by-step explanation:

This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...

6.50x +3.50(548-x) = 2881

3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms

3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918

x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3

548-x = 548 -321 = 227 . . . . . .number of child tickets

321 adult tickets and 227 child tickets were sold.

3 0

3 years ago

Kyla used 550 grams of wool to knit a sweater, a hat, and a scarf. For the hat she used 5 times less wool than the sweater and 5

Brrunno [24]

This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g

5 0

3 years ago