Joey tried to evaluate an expression. Here is his work: 97–3+53÷25232 = 97–3+125÷2529 Step 1 = 97–3+529 Step 2 = 97–3+109 Step 3 = 97–3+90 Step 4 = 97–93 Step 5 = 4 Step 6 Is Joey's work correct?

Complete Question

Joey tried to evaluate an expression. Here is his work:

= 97– 3 + (5³÷25)× 2 × 3²

= 97–3 + (125÷25 )× 2 × 9

Step 1 = 97 – 3 + 5 × 2 ×9

Step 2 = 97 – 3+ 10×9

Step 3 = 97 – 3+ 90

Step 4 = 97–93

Step 5 = 4

Step 6 = Is Joey's work correct?

Joey's work is incorrect

The correct answer is 184

Step-by-step explanation:

Solving Joey's expression above using the BODMAS Rule

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

= 97– 3 + (5³÷25)× 2 × 3²

= 97–3 + (125÷25 )× 2 × 9

Hence:

Step 1: Division

= 97 – 3 + 5 × 2 ×9

Step 2: Multiplication

= 97 – 3+ 10×9

Step 3: Addition

= 97 – 3+ 90

= 97+ 87

Step 4 :

= 97+ 87

Step 5 = 184

Therefore, Joey's work is INCORRECT because he made a mistake in Step 3 during the addition step. The correct answer is 184

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

yes because they have the same amount of green and blur marbles.

step-by-step explanation: