the numerical expression ( 36 divided 4 x 3) -8 + 10 is simplified as follows in which step, if any, did the first error occur?
step 1: (9x3) - 8+ 10
step 2: 27 -8 + 10
step 3: 27- 18 = 9
answers:
*step 1
*step 3
*no error occurred
*step 2
The first error occurred in step 1.
Jane spent $30 to buy materials to make bracelets. She sold the bracelets using two pricing options. Option A is 5 bracelets for $6, and Option B is 3 bracelets for $4. Jane made three sales with Option A, and six sales with Option B. Which numerical expression results in Jane’s profit? How much was Jane’s profit?(1 point)
answers:
*(3x6+ 6x4)- 30 janes profit was 12
*(3⋅6⋅5+6⋅4⋅3)−30; Jane’s profit was $132.
*(3⋅6+6⋅4)+30; Jane’s profit was $72.
*30−(3⋅6+6⋅4); Jane did not make any profit.
The correct numerical expression that results in Jane's profit is (3x6 + 6x4) - 30.
Jane's profit can be calculated as follows:
3x6 = 18 (profit from Option A sales)
6x4 = 24 (profit from Option B sales)
18 + 24 = 42 (total profit)
42 - 30 = 12 (Jane's profit)
Therefore, Jane's profit was $12.
The correct answer is: (3x6 + 6x4) - 30; Jane's profit was $12.
Which of the following shows the correct pairing of a property of operations and its example?(1 point)
Responses
2(a+3) = 2a+6; Commutative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Commutative Property
2a + 3b = 3b + 2a; Commutative Property
2 A plus 3 b is equal to 3 b plus 2 A ; Commutative Property
2a +3b = 3b + 2a; Distributive Property
2 A plus 3 b is equal to 3 b plus 2 A ; Distributive Property
2(a+3) = 2a+6; Associative Property
The correct pairing of a property of operations and its example is:
2(a+3) = 2a+6; Distributive Property
What are the additive and multiplicative inverses of −75 ?(1 point)
Responses
The additive inverse is −57; the multiplicative inverse is 75.
The additive inverse is negative Start Fraction 5 over 7 End Fraction ; the multiplicative inverse is Start Fraction 7 over 5 End Fraction .
The additive inverse is −75; the multiplicative inverse is −57.
The additive inverse is negative Start Fraction 7 over 5 End Fraction ; the multiplicative inverse is negative Start Fraction 5 over 7 End Fraction .
The additive inverse is 75; the multiplicative inverse is 57.
The additive inverse is Start Fraction 7 over 5 End Fraction ; the multiplicative inverse is Start Fraction 5 over 7 End Fraction .
The additive inverse is 75; the multiplicative inverse is −57.
The additive inverse is Start Fraction 7 over 5 End Fraction ; the multiplicative inverse is negative Start Fraction 5 over 7 End Fraction .
Skip to navigation
The additive inverse of -75 is 75 and the multiplicative inverse of -75 is -1/75.
Therefore, the correct answer is:
The additive inverse is 75; the multiplicative inverse is -1/75.
Which of the following expressions is not equivalent to the others?(1 point)
Responses
(p+0)⋅1+13⋅3
left parenthesis p plus 0 right parenthesis times 1 plus Start Fraction 1 over 3 End Fraction times 3
(p⋅14⋅4)−1
left parenthesis p times Start Fraction 1 over 4 End Fraction times 4 right parenthesis minus 1
p−3+2⋅1
p minus 3 plus 2 times 1
(p+0)−43⋅34
left parenthesis p plus 0 right parenthesis minus Start Fraction 4 over 3 End Fraction times Start Fraction 3 over 4 End Fraction
Skip to navigation
The expression (p+0)−43⋅34 is not equivalent to the others.
The correct answer is: (p+0)−43⋅34
Which of the following expressions is equivalent to −w ?(1 point)
Responses
w⋅1−9+9
w times 1 minus 9 plus 9
−9+9+w⋅1
negative 9 plus 9 plus w times 1
−9+9−w⋅1
negative 9 plus 9 minus w times 1
w−9+9⋅1