Ask question

Ask question

All categories

3 years ago

7

You just got a free ticket for a boat ride, and you can bring along 4 friends! Unfortunately, you have 6 friends who want to com

e along. How many different groups of friends could you take with you?

2 answers:

Sliva [168]3 years ago

5 0

Answer:

Step-by-step explanation:you can take 5

andrezito [222]3 years ago

4 0

Answer:

the correct answer is 15 I had this question too

Khan academy struggles

Step-by-step explanation:

You might be interested in

Find the distance between A (2,6) and N (5, 10). Round<br> To the nearest tenth

Svetllana [295]

Answer:

5.0 units

Step-by-step explanation:

The distance between two points can be expressed in formula of:

$\displaystyle{d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

Determine:

$\displaystyle{(x_2,y_2)}$ is (5,10).
$\displaystyle{(x_1,y_1)}$ is (2,6).

Therefore, substitute in the formula to find distance:

$\displaystyle{d = \sqrt{\left(5-2\right)^2+\left(10-6\right)^2}}\\\\\displaystyle{d = \sqrt{3^2+4^2}}\\\\\displaystyle{d = \sqrt{9+16}}\\\\\displaystyle{d = \sqrt{25}}\\\\\displaystyle{d = 5}$

Therefore, the distance between two points is 5.0 units.

7 0

1 year ago

It took John 12 hours riding his bike to make the round trip to his uncle's. If he averaged 20 mph out and 30 mph back, how long

notsponge [240]

Answer:

Step-by-step explanation:

Let the time taken by the john to get to his uncle be x.

Let the time taken by the john to get back from his uncle be y.

So,

x+y=12 ------ equation 1

According to the given velocities:

20x=30y

x=3/2y

Put the value x=3/2y in equation 1

3/2y+y =12

3y+2y/2=12

3y+2y=12*2

5y=24

y=24/5

y=4.8h

Now put the value of y in x=3/2y

x=3/2*4.8

x=14.4/2

x=7.2h ....

6 0

3 years ago

Pls show work! questions on pic

Lena [83]

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

$x\geq 5$

$y\geq 20$

Perimeter of rectangle= $2(x+y)$

Where x=Width of rectangle

y=Length of rectangle

Fencing used = $2(x+y)$

$2(x+y)\leq 80$

First we change inequality into equality

$x=5$ ...(1)

$y=20$ ...(2)

$2(x+y)=80$

$x+y=40$ ...(3)

Substitute x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 and y=0 in equation (3)

$2(x+y)\leq 80$

$0\leq 80$

It is true. Therefore, the shaded region below the line.

$0\geq 5$

$0\geq 20$

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

$5+y=40$

$y=40-5=35$

Substitute y=20 in equation (3)

$x+20=40$

$x=40-20=20$

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

$2(x+y)\leq 80$

$2(10+23)\leq 80$

$66\geq 80$

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

$2(7+30)=74$

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

$2(18+25)=86>80$

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

$2(8+35)=86>80$

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

$2(20+20)=80$

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

4 0

3 years ago

The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg

viktelen [127]

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

n=5

Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

7 0

3 years ago

-8 -8x + 10 + 6x = 19

hram777 [196]

Answer:

x = -8.5

Step-by-step explanation:

Let's rearrange the question to find x :)

-8x + 6x + 10 - 8 = 19

-2x + 2 = 19

-2 -2

-2x = 17

/-2 /-2

x = -8.5

4 0

3 years ago