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2 years ago

5 If 15 cookies cost $8.50, how much would it cost for 25 cookies? Write a proportion and solve it below:

Mathematics

1 answer:

AlladinOne [14]2 years ago

6 0

Answer:

14.25

Step-by-step explanation:

8.5/15=0.57

1:0.57

0.57*25=14.25

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A total of 243 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

alina1380 [7]

Answer:

81 adult tickets

Step-by-step explanation:

Step 1:

Set up a system of equations

Since the adult tickets and student tickets add to 243, we can do

$a+s=243$

and the student tickets sold were 2x the adult tickets, we can do

$s=2a$

We can replace s in the first equation adding to 243 with 2a

$a+s(2a)=243\\3a=243\\$

Step 2:

Solve for a. We can divide both sides by 3.

$a=81$

Therefore, there were 81 adult tickets sold.

Step 3:

We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!

$s=2a\\s=2(81)\\s=162$

And...

$162+81=243$

So, 81 must be the answer!

8 0

2 years ago

Read 2 more answers

A square yard measures 3600 square feet what is the length of one side of the yard ?

miss Akunina [59]

Each side of the yard is 600 feet

3 0

3 years ago

A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s

mojhsa [17]

Answer:

(a) 25.08 m

(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, $\theta=25$ °

Initial speed is, $u=15\ m/s$

Time of flight is, $t=3.0\ s$

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

$u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s$

Vertical displacement of the brick is equal to the height of the building.

So, vertical displacement = $-h$ (Negative sign implies downward motion)

Acceleration is due to gravity in the downward direction. So,

Acceleration is, $g=-9.8\ m/s^2$

Now, using the following equation of motion;

$-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m$

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, $v_y=0\ m/s$

Now, using the following equation of motion, we have:

$v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m$

Therefore, the maximum height of the brick is 2.05 m.

5 0

3 years ago

What is the value of 8 ^-1 using a positive exponent?

stepan [7]

Answer:

0.125 is the answer

Step-by-step explanation:

8 0

3 years ago

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Find the slope of 2y - 8x = -22.

AVprozaik [17]

Answer:

work is shown and pictured

7 0

3 years ago

5 If 15 cookies cost $8.50, how much would it cost for 25 cookies? Write a proportion and solve it below:​

5 If 15 cookies cost $8.50, how much would it cost for 25 cookies? Write a proportion and solve it below: