1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren [92.7K]
3 years ago
8

A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off t

he ground and rises at 1.5 meters per second. Write and solve an equation to determine when the balloons are at the same height.
Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon. 

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s: 

2.6s + 7.3

Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

1.5s + 12.4

To determine when both balloons are at the same height, we set the two equations equal to each other: 

2.6s + 7.3 = 1.5s + 12.4

Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation: 

1.1s + 7.3 = 12.4

Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation: 

1.1s = 5.1

Last, we divide both sides by 1.1. So s = 4.63. 

This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation: 

2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33

1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33

After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
You might be interested in
Use the graph of the line to answer the questions.
Delvig [45]

Answer:

idk

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
10
timama [110]

Answer:

25π units^2

Step-by-step explanation:

The shape is a quarter circle with radius 10 units.

area of circle = πr^2

area of a quarter circle = (1/4)π(10 units)^2

area = 25π units^2

5 0
3 years ago
completa con las razones trigonométricas de cada triángulo rectángulo dado y encuentra el lado faltante aplicando el teorema de
Rus_ich [418]

primero vamos a calcular el lado faltante usando el teorema de pitagoras para poder obtener el lado faltante a

a=\sqrt[]{hipotenusa^2-cateto^2}a=\sqrt[]{100^2-85^2}=52.68

a=52.68 m

teniendo el lado faltante podemos calcular las razones trigonometricas

\sin (55)=\frac{85}{100}=0.85\cos (55)=\frac{52.68}{100}=0.52\tan (55)=\frac{85}{52.68}=1.61

\csc (55)=\frac{100}{85}=1.17\sec (55)=\frac{100}{52.68}=1.89\cot (55)=\frac{52.68}{85}=0.61

4 0
1 year ago
A boat costs $17,200 and decreases in value by 13% per year. How much will the boat be worth after 7 years?
krek1111 [17]

Answer:

1.5 years

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Ciara bought four burgers.
Darina [25.2K]

£3.50 for each burger

3.50×4= 14 left over is 6 from the 20 pound note

5 0
2 years ago
Other questions:
  • one table sale has 75 cookies. Another table has 60 cupcakes. which table allows for more rectangular arrangements when all the
    6·1 answer
  • What is the distance from the origin of point P graphed on the complex plane below?
    15·2 answers
  • A candidate for mayor plans to campaign at 5 shopping malls before the election. In how many different ways can the candidate sc
    13·1 answer
  • If Jeremy is in the 90th percentile in the main office test scores is 180 with a standard deviation of 15 which of the following
    10·1 answer
  • Algebra:<br>y+7-2=21<br>so confused, can someone help?​
    9·2 answers
  • What is the prime Factor of 128
    9·2 answers
  • For Math
    12·2 answers
  • What is the slope of the line represented by the equation y = - 글 x + 끝?
    6·1 answer
  • What is 11π/6 in degrees?
    7·2 answers
  • How is the following data being misrepresented- misusing axes
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!