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2 years ago

Solve the equation –15 + 10y = 25 for y.

Mathematics

1 answer:

LenKa [72]2 years ago

6 0

Answer:

y = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-15 + 10y = 25

Step 2: Solve for y

[Addition Property of Equality] Add 15 on both sides: 10y = 40
[Division Property of Equality] Divide 10 on both sides: y = 4

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2 years ago

A man 6 feet tall casts a shadow that is 11 feet long. A building casts a shadow of 139 feet long. The building is tall. Round y

dmitriy555 [2]

Given:

Height of man = 6 ft

Height of man's shadow = 11 feet

Height of building's shadow = 139 feet

To find:

The height of the building.

Solution:

We know that the heights of the objects and there shadows are always proportional.

$\dfrac{\text{Height of man}}{\text{Height of man's shadow}}=\dfrac{\text{Height of the building}}{\text{Height of building's shadow}}$

Let x be the height of the building.

$\dfrac{6}{11}=\dfrac{x}{139}$

Multiply both sides by 139.

$\dfrac{6}{11}\times 139=x$

$\dfrac{834}{11}=x$

$75.8181...=x$

$x\approx 75.8$

Therefore, the building is 75.8 feet long.

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