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Vanyuwa [196]
3 years ago
8

What is the area of the rectangle?

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²

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Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $900 for ea
Kaylis [27]

Answer:

16 cars.

Step-by-step explanation:

Let x represent number of sold cars.

We have been that 1st company pays a salary of $8000 plus a commission of $900 for each car sold. We can represent this information in an expression as:

900x+8000

We are also told that second company pays a salary of $14400 plus a commission of $500 for each car sold. We can represent this information in an expression as:

500x+14,400

To find the number of cars sold, which will make the total pay the same, we will equate both expressions and solve for x as:

900x+8000=500x+14,400

900x-500x+8000=500x-500x+14,400

400x+8000-8000=14,400-8000

400x=6,400

\frac{400x}{400}=\frac{6,400}{400}

x=16

Therefore, 16 cars would need to be sold to make the total pay the same.

3 0
4 years ago
If an object has a mass of 12Kg on Earth, what would its mass be on the Moon and Mars?
Leviafan [203]

Answer:

mars = 4.54 kg and moon = 1.98 kg

Step-by-step explanation:

12 kg on mars =  4.54 kg

12 kg on moon =  1.98 kg

6 0
3 years ago
Someone help me out.
liubo4ka [24]

Answer:

65

73

Step-by-step explanation:

9^2 - 4^2

Exponents first

81 - 16

65

3^2 +8^2

Exponents first

9+64

73

4 0
3 years ago
Read 2 more answers
How do I do the second one?
sveticcg [70]
You just find out which angles are congruent.
8 0
3 years ago
Convert 2435m to km and express the result as mixed fraction​
Juli2301 [7.4K]

Step-by-step explanation:

m to km

divide by 1000

2435m = 2.435km

6 0
4 years ago
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