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LenaWriter [7]
3 years ago
13

A hot air balloon rises at a rate of 38 km/h and starts at the height of 60 km. Another balloon started from the ground and is r

ising at the rate of 50 km/h. At this rate what height will they be at when they are at the same height?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0

Answer:

Height = 250km

Step-by-step explanation:

Given,

rate of rise of ballon 1 = 38 km/h

rate of rise of ballon 2 = 50 km/h

Let the time after which both the ballons will reach same height be 't'.

hence, after 't' hours,

⇒ height of ballon 1 = height of ballon 2

⇒ 38t + 60 = 50t

⇒ 12t = 60

⇒ t = 5 hours

so, the height at which both the ballons will be at the same height will be 250km.

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A local Charity receives 1/3 of funds raised during a craft fair and bake sale. The total amount given to the charity was $137.4
Fed [463]

Answer:

The bake sale raised $412.35

Step-by-step explanation:

* Lets explain how to solve the problem

- A local Charity receives 1/3 of funds raised during a craft fair and

 bake sale

∴ The total amount given to the charity = 1/3 × the funds raised during

  a craft fair and bake sale

- The total amount given to the charity was $137.45

∴ The 1/3 of of funds raised during a craft fair and bake sale is $137.45

- Lets substitute the The total amount given to the charity in the

 equation above to find the funds raised during the bake sale

∴ 137.45 = 1/3 × the funds raised during the bake sale

- Multiply the both sides by 3

∴ 3 × 137.45 = the funds raised during the bake sale

∴ The funds raised during the bake sale = 412.35

* The bake sale raised $412.35

6 0
3 years ago
Evaluate the following expression for: x= -2, y=4, z=-3<br><br> 4(2x+y)-2y+z
otez555 [7]

- - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - --  -- - - - - - - -

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}

Before inserting the values of the variables, I recommend writing the equation in its simplest form.

First, use the distributive property and distribute 4:-

8x+4y-2y+z

Simplifying,

8x+2y+z

Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.

First, write -2 in lieu of x:-

8(-2)+2y+z

-16+2y+z

Now, write 4 in lieu of y:-

-16+2(4)+z

-16+8+z

-8+z

Final step:-

write -3 in lieu of z:-

-8+(-3)

-8-3

-11

<h3>Good luck.</h3>

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7 0
2 years ago
solve the following system of equations. Enter the y-coordinate of the solution. Round your answerto the nearest tenth 5x+2y=7 -
Airida [17]
(12/17, 59/34) is the answer
3 0
3 years ago
Read 2 more answers
Michelle and her roommate rent an apartment for $798 a month. Each of them pays half. Because there are about 4 weeks in a month
matrenka [14]

Answer:

yes

Step-by-step explanation:

half of $798 is $399. $100 a week × 4 = $400. 400 is very close to 399, so yes it would be a food estimate. Hope this helps! :)

7 0
2 years ago
The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.
RSB [31]

Answer:

(2y−3)(y+1) hope this helps!

7 0
2 years ago
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