Solve the equation- 5y -9 = -(y - 1)
2 answers:
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Answer:
The blimp can carry 70 passengers
Step-by-step explanation:
Lets use the ratio method to solve this problem
∵ 1 cubic meter of helium can lift about 1.1 kg
∵ A blimp can carry as much as 2 x m³ of helium
By using the ratio method
→ m³ : kg
→ 1 : 1.1
→ 2 x : x
By using cross multiplication
∴ x × 1 = 1.1 × 2 x
∴ x = 2.2 x
∵ x represents the mass that can carried by the helium
∴ 2 x m³ of helium can lift 2.2 x
kg
∵ The mass of the blimp is 2.13 x kg
- Subtract the mass of the blimp from the mass that the given
amount of helium can lift to find the mass of the passengers
∴ The mass of the passengers = 2.2 x - 2.13 x
- Subtract 2.13 from 2.2 ⇒ 2.2 - 2.13 = 0.07
∴ The mass of the passengers = 0.07 x
∵ The average mass of a person with luggage is 10² kg
- Divide the mass of the passengers by the mass of the person
to find the number of the passengers
∴ The number of passengers = 0.07 x ÷ 10²
- Subtract the exponents of 10 to find the answer
∵ ÷ 10² =
= 10³
∴ The number of passengers = 0.07 x 10³
∴ The number of passengers = 0.07 × 1000
∴ The number of passengers = 70
The blimp can carry 70 passengers
Answer:
12
Step-by-step explanation:
In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).
Let's say the man have z money, mangoes price is z and the oranges price is
z. The equation for money and number of mangoes and oranges will be:
money = mango price * mangoes bought + orange price * orange bought
z= z * x +
z *y
1= x +
y
-y=
x -1
y= -1.5x + 30
y= 30 - 1.5x
If he want equal number of mango and orange, that mean y=x. The calculation will be:
y= 30 - 1.5x
x= 30 - 1.5x
x+ 1.5x = 30
2.5x= 30
x= = 12
Answer:
a) About 40° and 5 °; b) the height of the person; c) none
Step-by-step explanation:
(a) Angles of depression and elevation
The angle of depression is about 40°.
The angle of elevation is about 5°.
(b) Dependence of angles
The angles of elevation and depression depend on the height of the person.
The taller the person, the smaller the angle of elevation and the larger the angle of depression.
(c) Limitations of angles
There is no chance that either angle could be greater than or equal to 99°.
Each is part of a right triangle.
If one angle is a right angle, each of the other two angles must be less than 90°.
