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4 years ago

Cara evaluated the expression below.

Mathematics

2 answers:

VashaNatasha [74]4 years ago

7 0

She multiplied 4 and 7 together and did not multiply 4 and 13

4(7 - 13) / 3 = (28 - 52)/3 <== that is what it should be....not (28 - 13) / 3

s2008m [1.1K]4 years ago

5 0

Answer:

Cara multiplied only 4 and 7 together and did not multiply 4 and 13.

Step-by-step explanation:

Let us evaluate the given expression step by step,

$\frac{4(7-13)}{3} +(-4)^{2} -2(6-2)\\$

We can evaluate this expression in two ways; either by subtracting -13 from 7 and then multiply by 4 or by multiplying 4 to 7 and -13.

$\frac{28-52}{3} +16-2(4)$

$\frac{-24}{3} +16-8$

$-8+16-8=-16+16=0$

Now let us see where Cara made an error. We can see Cara just multiplied only 4 and 7 together and did not multiply 4 to 13.

Therefore, Cara made error in her first step.

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3 years ago

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Answer:

t = -14

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
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-98 = 7t

Step 2: Solve for t

Divide 7 on both sides: -14 = t
Rewrite: t = -14

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t: -98 = 7(-14)
Multiply: -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

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