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3 years ago

What is the value of a in the equation 5a-10b=45 when b=3

2 answers:

7 0

Since b = 3 the equation changes

5a - 10(3) = 45
5a - 30 = 45

(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15

spin [16.1K]3 years ago

6 0

If you would like to solve the equation 5 * a - 10 * b = 45, when b = 3, you can calculate this using the following steps:

b = 3
5 * a - 10 * b = 45
5 * a - 10 * 3 = 45
5 * a - 30 = 45
5 * a = 45 + 30
5 * a = 75 /5
a = 75 / 5
a = 15

Result: The value of a is 15.

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In a package of candy there is a total of 24 yellow pieces. For every 5 green pieces in the package, there are 8 yellow pieces.

IgorLugansk [536]

Answer:

15 green pieces.

Step-by-step explanation:

8x = 24

x = 3.

So you need 3 times the amount of green pieces for every yellow piece.

3 * 5 green pieces = 15 green pieces

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3 years ago

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length

mafiozo [28]

Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
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3 years ago

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larisa86 [58]

Hi there!

$\large\boxed{f(9) = 12}$

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3 0

3 years ago

Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes

Ilya [14]

Answer:

f'(1) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Calculus

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

f(x) = x²

Point (1, f(1))

Step 2: Differentiate

Basic Power Rule: f'(x) = 2 · x²⁻¹
Simplify: f'(x) = 2x

Step 3: Find Slope

Use the point (1, f(1)) to find the instantaneous slope

Substitute in x: f'(1) = 2(1)
Multiply: f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

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3 years ago

If point E is between points D and F and DE = 27 and EF = 34, find DF.

Elenna [48]

It's 61 (Free points for me)

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4 years ago

Read 2 more answers