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3 years ago

When the smaller of two consecutive integers is added to five times the larger, the result is 65

Mathematics

1 answer:

stepan [7]3 years ago

8 0

x+5(x+1)=65

x+5x+5=65

6x=65-5=60

x=60/6=10

smaller number=10

Larger number=10+1=11

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Answer:

Step-by-step explanation:

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In the following equation, f(x)=2x +7, what is f(-3)?

Helen [10]

Answer:

f(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 7

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3 years ago

Two middle school classes take a vote on the destination for a class trip. Class A has 25 students, 56% of whom voted to go to S

Kryger [21]

Answer:

The value of n is 15.

Step-by-step explanation:

The combined proportion is computed using the formula:

$P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}$

The information provided is as follows:

$n_{A}=25\\p_{A}=0.56\\n_{B}=n\\p_{B}=0.60\\P=0.575$

Compute the value of n as follows:

$P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}$

$0.575=\frac{25\times 0.56+n\times 0.60}{25+n}\\\\0.575(25+n)=14+0.60n\\\\14.375+0.575n=14+0.60n\\\\0.60n-0.575n=14.375-14\\\\0.025n=0.375\\\\n=15$

Thus, the value of n is 15.

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2 years ago