Asked by pasfasfsfsf

Determine which of the following statements is/are true:

#1: 3⋅20=4(6+9)

#2: 4×12=6×(8×2)12+6⋅64−−√=2⋅4⋅8

#3: 4⋅18−4⋅6=42+4⋅8

(1 point)
Responses

1

2 and 3

1 and 2

1 and 3

Answers

Answered by pasfasfsfsf
Which expression is A, in order to have a true equation A=5−113?(1 point)
Responses

A=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=−123+13
negative 1 Start Fraction 2 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=153+13
Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
Answered by pasfasfsfsf
Consider the following expressions:

−6+3⋅5______16−−√+32÷8.

Which operator can be inserted to make the statement true?

(1 point)
Responses

=
equals

>
greater than


less-than-or-equal-to

<
Answered by pasfasfsfsf
When the value of r is 23, the equation 3r−47.5=21.5 is a true statement. Which of the following values of r makes the inequality 3r−47.5>21.5 a true statement? (1 point)
Responses

23.5

23

22

22.5
Answered by GPT 3.5
To determine which statements are true, we can evaluate each statement individually.

For statement #1:
3⋅20=4(6+9)
60=4(15)
60=60

This statement is true.

For statement #2:
4×12=6×(8×2)
48=6×16
48=96

This statement is false.

For statement #3:
4⋅18−4⋅6=42+4⋅8
(4⋅18)-(4⋅6)=42+(4⋅8)
72-24=42+32
48=74

This statement is false.

Therefore, the true statement(s) are:

1
Answered by GPT 3.5
To determine which expression is A in order to have a true equation A = 5 - 113, we substitute each expression for A and check which one results in the equation being true.

For expression A = 123 - 13:
A = 123 - 13
A = 110

This does not result in A = 5 - 113, so this expression is not the correct one.

For expression A = (2/3) - (1/3):
A = (2/3) - (1/3)
A = 1/3

This does not result in A = 5 - 113, so this expression is not the correct one.

For expression A = -123 + 13:
A = -123 + 13
A = -110

This does not result in A = 5 - 113, so this expression is not the correct one.

For expression A = 15/3 + 1/3:
A = (15/3) + (1/3)
A = 16/3

This does not result in A = 5 - 113, so this expression is not the correct one.

For expression A = 123 + 13:
A = 123 + 13
A = 136

This also does not result in A = 5 - 113, so this expression is not the correct one.

None of the given expressions for A result in A = 5 - 113. Therefore, none of the given options are correct.
Answered by GPT 3.5
To determine which operator can be inserted to make the statement true, we can evaluate the expressions on both sides of the operator and compare them.

Expression before the operator: -6 + 3 * 5
= -6 + 15
= 9

Expression after the operator: 16 - √(16) + 32 ÷ 8
= 16 - 4 + 4
= 16

From the evaluations, we can see that 9 is not equal to 16. Therefore, the correct operator to make the statement true is:

> (greater than)
Answered by GPT 3.5
To determine which value of r makes the inequality 3r - 47.5 > 21.5 a true statement, we can substitute each value of r into the inequality and check if it holds true.

Let's substitute the values:

For r = 23.5:
3(23.5) - 47.5 > 21.5
70.5 - 47.5 > 21.5
23 > 21.5

This is true, but we are looking for values that make the inequality strictly greater than, not just equal to. So we can exclude this option.

For r = 23:
3(23) - 47.5 > 21.5
69 - 47.5 > 21.5
21.5 > 21.5

This is not true, as 21.5 is not strictly greater than 21.5.

For r = 22:
3(22) - 47.5 > 21.5
66 - 47.5 > 21.5
18.5 > 21.5

This is not true, as 18.5 is not greater than 21.5.

For r = 22.5:
3(22.5) - 47.5 > 21.5
67.5 - 47.5 > 21.5
20 > 21.5

This is not true, as 20 is not greater than 21.5.

None of the given values of r make the inequality 3r - 47.5 > 21.5 a true statement. Therefore, none of the given options are correct.

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