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4 years ago

Which property is BEST to use when combining 3/5 + 1/4 +2/5

Mathematics

2 answers:

nevsk [136]4 years ago

8 0

Answer:

commutative property of addition

Step-by-step explanation:

iragen [17]4 years ago

6 0

Answer:

Step-by-step explanation:

Commutative property of addition: The order in which you add these fractions together doesn't matter.

I would combine 3/5 and 2/5 first, as that readily results in 5/5, or just 1.

Then we have 1 1/4, or 1.25, or 5/4 as the final answer.

You might be interested in

Which two triangles are congruent? Complete the congruence statement.

anygoal [31]

Answer:

△ VUW = △ KJI

Step-by-step explanation:

In △ VUW, △ KJI,

UW = JI ( Sides are equal )

∠ VUW = ∠ KJI ( From the diagram )

∠ UWV = ∠ KIJ ( From the diagram )

By ASA rule of congruency,

△ VUW is congruent to △ KJI.

8 0

3 years ago

The volume of a sphere is decreasing at a constant rate of 116 cubic centimeters per second. At the instant when the volume of t

nirvana33 [79]

Answer:

$\frac{dr}{dt} = -1.325 \ cm/s$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Taking Derivatives with respect to time

Step-by-step explanation:

Step 1: Define

Given:

$V = \frac{4}{3} \pi r^3$

$\frac{dV}{dt} = -116 \ cm^3/s$

$V = 77 \ cm^3$

Step 2: Solve for r

Substitute: $77 = \frac{4}{3} \pi r^3$
Isolate r term: $\frac{77}{\frac{4}{3} \pi} = r^3$
Isolate r: $\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r$
Evaluate: $2.63917 = r$
Rewrite: $r = 2.63917 \ cm$

Step 3: Differentiate

Differentiate the Volume Formula with respect to time t.

Define: $V = \frac{4}{3} \pi r^3$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = \frac{4}{3} \pi \cdot 3 \cdot r^{3-1} \cdot \frac{dr}{dt}$
Simplify: $\frac{dV}{dt} = 4 \pi r^2 \cdot \frac{dr}{dt}$

Step 4: Find radius rate

Substitute in variables: $-116 \ cm^3/sec = 4 \pi (2.63917 \ cm)^2 \cdot \frac{dr}{dt}$
Isolate dr/dt rate: $\frac{-116 \ cm^3/s}{4 \pi (2.63917 \ cm)^2} = \frac{dr}{dt}$
Evaluate: $-1.3253 \ cm/s = \frac{dr}{dt}$
Rewrite: $\frac{dr}{dt} = -1.3253 \ cm/s$
Round: $\frac{dr}{dt} = -1.325 \ cm/s$