Which expression is A, in order to have a true equation A=5−113?(1 point)
Responses
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 plus Start Fraction 1 over 3 End Fraction
A=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
A=123+13
13 answers
(A = 123 + 13) is the correct expression in order to have a true equation A = 5 - 1/13.
Consider the following expressions:
−6+3⋅5______16−−√+32÷8.
Which operator can be inserted to make the statement true?
−6+3⋅5______16−−√+32÷8.
Which operator can be inserted to make the statement true?
To make the statement true, we need to compare the two expressions and determine which operator can be inserted between them.
Looking at the expressions −6+3⋅5 and 16−−√+32÷8, we see that the first expression involves addition and multiplication, whereas the second expression involves square root and division.
Since the two expressions are not directly related in terms of the same operation, we cannot insert a single operator to make the statement true.
Looking at the expressions −6+3⋅5 and 16−−√+32÷8, we see that the first expression involves addition and multiplication, whereas the second expression involves square root and division.
Since the two expressions are not directly related in terms of the same operation, we cannot insert a single operator to make the statement true.
6−−√+32÷8
To simplify the expression 6−−√+32÷8, we start by evaluating the operations in the expression following the order of operations (PEMDAS/BODMAS).
First, we calculate the square root of 6:
−−√6 = √6 = 2.449
Next, we perform the division 32÷8, which equals 4.
Finally, we add the results: 2.449 + 4 = 6.449
Therefore, the value of the expression 6−−√+32÷8 is 6.449.
First, we calculate the square root of 6:
−−√6 = √6 = 2.449
Next, we perform the division 32÷8, which equals 4.
Finally, we add the results: 2.449 + 4 = 6.449
Therefore, the value of the expression 6−−√+32÷8 is 6.449.
−6+3⋅5
To simplify the expression −6+3⋅5, we apply the order of operations (PEMDAS/BODMAS).
First, we perform the multiplication 3⋅5, which equals 15.
Next, we add the result to −6: -6 + 15 = 9.
Therefore, the value of the expression −6+3⋅5 is 9.
First, we perform the multiplication 3⋅5, which equals 15.
Next, we add the result to −6: -6 + 15 = 9.
Therefore, the value of the expression −6+3⋅5 is 9.
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?
To find the value of r that makes the inequality 3r − 47.5 > 21.5 true, we will solve the inequality using the same steps as solving an equation.
First, let's solve the equation 3r − 47.5 = 21.5 when r = 23.
Substituting r = 23 into the equation, we have:
3(23) - 47.5 = 21.5
69 - 47.5 = 21.5
21.5 = 21.5
Since the equation is true when r = 23, we need to find a value of r that makes the inequality 3r − 47.5 greater than 21.5. To do this, we can isolate r on one side of the inequality.
3r − 47.5 > 21.5
3r > 21.5 + 47.5
3r > 69
r > 69/3
r > 23
From this, we can see that any value of r greater than 23 will make the inequality 3r − 47.5 > 21.5 true.
First, let's solve the equation 3r − 47.5 = 21.5 when r = 23.
Substituting r = 23 into the equation, we have:
3(23) - 47.5 = 21.5
69 - 47.5 = 21.5
21.5 = 21.5
Since the equation is true when r = 23, we need to find a value of r that makes the inequality 3r − 47.5 greater than 21.5. To do this, we can isolate r on one side of the inequality.
3r − 47.5 > 21.5
3r > 21.5 + 47.5
3r > 69
r > 69/3
r > 23
From this, we can see that any value of r greater than 23 will make the inequality 3r − 47.5 > 21.5 true.
Which of the following values for x makes the inequality 4x+1−−−−−√ ≤5.83 true?
To find the values for x that make the inequality 4x + 1 - √ ≤ 5.83 true, we need to solve the inequality.
Starting with the inequality:
4x + 1 - √ ≤ 5.83
First, let's isolate the square root term by subtracting 1 from both sides:
4x - √ ≤ 4.83
Next, we square both sides to eliminate the square root:
(4x - √)^2 ≤ (4.83)^2
(4x - √)^2 ≤ 22.1089
Expanding the left side:
16x^2 - 8√x + (√x)^2 ≤ 22.1089
Simplifying:
16x^2 - 8√x + x ≤ 22.1089
Now, we have a quadratic equation. To determine the values of x that satisfy the inequality, we need to find the quadratic solutions.
16x^2 - 8√x + x - 22.1089 ≤ 0
At this point, we can use numerical methods or a calculator to find the values of x that make the inequality true. Without numerical methods or a calculator, it is difficult to determine the exact values of x that satisfy the inequality.
Starting with the inequality:
4x + 1 - √ ≤ 5.83
First, let's isolate the square root term by subtracting 1 from both sides:
4x - √ ≤ 4.83
Next, we square both sides to eliminate the square root:
(4x - √)^2 ≤ (4.83)^2
(4x - √)^2 ≤ 22.1089
Expanding the left side:
16x^2 - 8√x + (√x)^2 ≤ 22.1089
Simplifying:
16x^2 - 8√x + x ≤ 22.1089
Now, we have a quadratic equation. To determine the values of x that satisfy the inequality, we need to find the quadratic solutions.
16x^2 - 8√x + x - 22.1089 ≤ 0
At this point, we can use numerical methods or a calculator to find the values of x that make the inequality true. Without numerical methods or a calculator, it is difficult to determine the exact values of x that satisfy the inequality.
Which of the following values for x makes the inequality 4x+1−−−−−√ ≤5.83 true?(1 point)
Responses
9
9
9.5
9.5
10
10
8
Responses
9
9
9.5
9.5
10
10
8
To determine which of the given values makes the inequality 4x + 1 - √ ≤ 5.83 true, we can substitute each value into the inequality and check if it holds true.
1. Testing x = 9:
4(9) + 1 - √9 ≤ 5.83
36 + 1 - 3 ≤ 5.83
37 - 3 ≤ 5.83
34 ≤ 5.83 (This is false)
2. Testing x = 9.5:
4(9.5) + 1 - √9.5 ≤ 5.83
38 + 1 - √9.5 ≤ 5.83
39 - √9.5 ≤ 5.83
39 - 3.08 ≤ 5.83
35.92 ≤ 5.83 (This is false)
3. Testing x = 10:
4(10) + 1 - √10 ≤ 5.83
40 + 1 - √10 ≤ 5.83
41 - √10 ≤ 5.83
41 - 3.16 ≤ 5.83
37.84 ≤ 5.83 (This is false)
4. Testing x = 8:
4(8) + 1 - √8 ≤ 5.83
32 + 1 - √8 ≤ 5.83
33 - √8 ≤ 5.83
33 - 2.83 ≤ 5.83
30.17 ≤ 5.83 (This is false)
None of the given values for x make the inequality 4x + 1 - √ ≤ 5.83 true.
1. Testing x = 9:
4(9) + 1 - √9 ≤ 5.83
36 + 1 - 3 ≤ 5.83
37 - 3 ≤ 5.83
34 ≤ 5.83 (This is false)
2. Testing x = 9.5:
4(9.5) + 1 - √9.5 ≤ 5.83
38 + 1 - √9.5 ≤ 5.83
39 - √9.5 ≤ 5.83
39 - 3.08 ≤ 5.83
35.92 ≤ 5.83 (This is false)
3. Testing x = 10:
4(10) + 1 - √10 ≤ 5.83
40 + 1 - √10 ≤ 5.83
41 - √10 ≤ 5.83
41 - 3.16 ≤ 5.83
37.84 ≤ 5.83 (This is false)
4. Testing x = 8:
4(8) + 1 - √8 ≤ 5.83
32 + 1 - √8 ≤ 5.83
33 - √8 ≤ 5.83
33 - 2.83 ≤ 5.83
30.17 ≤ 5.83 (This is false)
None of the given values for x make the inequality 4x + 1 - √ ≤ 5.83 true.