Use substitution to determine which number from the set {6, 7, 8} makes the equation 54÷x=9 true.(1 point)

x = ?

5 answers

To solve the equation 54/x = 9, we can set up a proportion:

54/x = 9

To simplify this equation, we can cross-multiply:

9 * x = 54

This can be further simplified:

9x = 54

To solve for x, we divide both sides of the equation by 9:

x = 54/9

x = 6

Therefore, the number from the set {6, 7, 8} that makes the equation true is 6.
Use the image to answer the question.
A number line with arrows at both ends is shown ranging from 0 to 2 in increments of fourths, as indicated by 3 equally-spaced tick marks in between the labeled whole numbers. A closed circle is plotted at the first tick mark between 1 and 2 and is labeled as upper A.

Identify the equation with the solution A .

(1 point)
Responses

2x=52
2 x equals Start Fraction 5 over 2 End Fraction

6x=94
6 x equals Start Fraction 9 over 4 End Fraction

3x=14
3 x equals Start Fraction 1 over 4 End Fraction

4x=32
4 x equals Start Fraction 3 over 2 End Fraction
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Based on the given information, the closed circle labeled as A is plotted at the tick mark between 1 and 2 on the number line. This indicates that the value of A is between 1 and 2 but not inclusive, which can be represented as A > 1 and A < 2.

Out of the given options, the equation that satisfies this condition is:

2x = 52

If we solve this equation for x, we get:

x = 52/2 = 26

So, the solution A is x = 26.
Use the image to answer the question.
A number line with arrows at both ends is shown ranging from negative 4 to 6 in 1 unit increments. Closed circles are plotted at negative 2, 1, 2, and 5.

Four solutions are on the graph. Identify the solution to the equation −4+x=−2 .

(1 point)
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?
Based on the given information, the equation -4 + x = -2 can be rewritten as x = -2 + 4.

This equation indicates that the value of x is 2 units greater than -2. Since the closed circles are plotted at -2 and 2 on the number line, the solution to the equation -4 + x = -2 is x = 2.