Math / Algebra

QuestionEvalúa $x^{2}+2 y \div 2 w+3 z$ para $w=2, x=5, y=8$ $y z=3$

Studdy Solution

STEP 1

1. We are given the expression $x^{2} + 2y \div 2w + 3z$ .
2. The values provided are $w = 2$ , $x = 5$ , $y = 8$ , and $z = 3$ .
3. We need to evaluate the expression using these values.

STEP 2

1. Substitute the given values into the expression.
2. Simplify the expression by performing arithmetic operations.

STEP 3

Substitute the given values into the expression:
$(5)^{2} + 2(8) \div 2(2) + 3(3)$

STEP 4

Calculate the square of $x$ :
$5^{2} = 25$

STEP 5

Calculate the product $2y$ :
$2 \times 8 = 16$

STEP 6

Divide the result by $2w$ :
$16 \div (2 \times 2) = 16 \div 4 = 4$

STEP 7

Calculate the product $3z$ :
$3 \times 3 = 9$

STEP 8

Add the results from the previous steps:
$25 + 4 + 9 = 38$
The evaluated expression is:
$\boxed{38}$

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QuestionEvalúa $x^{2}+2 y \div 2 w+3 z$ para $w=2, x=5, y=8$ $y z=3$

Studdy Solution

STEP 1

1. We are given the expression $x^{2} + 2y \div 2w + 3z$ .
2. The values provided are $w = 2$ , $x = 5$ , $y = 8$ , and $z = 3$ .
3. We need to evaluate the expression using these values.

STEP 2

1. Substitute the given values into the expression.
2. Simplify the expression by performing arithmetic operations.

STEP 3

Substitute the given values into the expression:
$(5)^{2} + 2(8) \div 2(2) + 3(3)$

STEP 4

Calculate the square of $x$ :
$5^{2} = 25$

STEP 5

Calculate the product $2y$ :
$2 \times 8 = 16$

STEP 6

Divide the result by $2w$ :
$16 \div (2 \times 2) = 16 \div 4 = 4$

STEP 7

Calculate the product $3z$ :
$3 \times 3 = 9$

STEP 8

Add the results from the previous steps:
$25 + 4 + 9 = 38$
The evaluated expression is:
$\boxed{38}$

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QuestionEvalúa x2+2y÷2w+3zx^{2}+2 y \div 2 w+3 zx2+2y÷2w+3z para w=2,x=5,y=8w=2, x=5, y=8w=2,x=5,y=8 yz=3y z=3yz=3

Studdy Solution

STEP 1

1. We are given the expression x2+2y÷2w+3z x^{2} + 2y \div 2w + 3z x2+2y÷2w+3z.2. The values provided are w=2 w = 2 w=2, x=5 x = 5 x=5, y=8 y = 8 y=8, and z=3 z = 3 z=3.3. We need to evaluate the expression using these values.

STEP 2

1. Substitute the given values into the expression.2. Simplify the expression by performing arithmetic operations.

STEP 3

Substitute the given values into the expression:(5)2+2(8)÷2(2)+3(3) (5)^{2} + 2(8) \div 2(2) + 3(3) (5)2+2(8)÷2(2)+3(3)

STEP 4

Calculate the square of x x x:52=25 5^{2} = 25 52=25

STEP 5

Calculate the product 2y 2y 2y:2×8=16 2 \times 8 = 16 2×8=16

STEP 6

Divide the result by 2w 2w 2w:16÷(2×2)=16÷4=4 16 \div (2 \times 2) = 16 \div 4 = 4 16÷(2×2)=16÷4=4

STEP 7

Calculate the product 3z 3z 3z:3×3=9 3 \times 3 = 9 3×3=9

STEP 8

Add the results from the previous steps:25+4+9=38 25 + 4 + 9 = 38 25+4+9=38 The evaluated expression is:38 \boxed{38} 38​

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QuestionEvalúa $x^{2}+2 y \div 2 w+3 z$ para $w=2, x=5, y=8$ $y z=3$

1. We are given the expression $x^{2} + 2y \div 2w + 3z$ .
2. The values provided are $w = 2$ , $x = 5$ , $y = 8$ , and $z = 3$ .
3. We need to evaluate the expression using these values.

1. Substitute the given values into the expression.
2. Simplify the expression by performing arithmetic operations.

Substitute the given values into the expression:
$(5)^{2} + 2(8) \div 2(2) + 3(3)$

Calculate the square of $x$ :
$5^{2} = 25$

Calculate the product $2y$ :
$2 \times 8 = 16$

Divide the result by $2w$ :
$16 \div (2 \times 2) = 16 \div 4 = 4$

Calculate the product $3z$ :
$3 \times 3 = 9$

Add the results from the previous steps:
$25 + 4 + 9 = 38$
The evaluated expression is:
$\boxed{38}$