Answer:
Choice C.
Step-by-step explanation:
For an expression to be equivalent you need to multiply or divide the 2 numbers in the original expression by the same number.
For example A is equivalent because both 125.78 and 1.23 have been multiplied by 100.
The odd one out is C because 125.78 has been divided by 100 but 1.23 has been multiplied by 10.
Answer:
The probability that he rolls a sum of 9 given the sample space is . 9/36, or 1/4.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that he rolls a sum of 9 = cubes that have a sum of 9 / total number of cubes
9/36 = 1/4
Answer:
a) 7y - 3
Step-by-step explanation:





Answer:
In this equation, the value of x is equal to 6.
Step-by-step explanation:
We are given an algebraic equation in which we need to solve for x.
We can use several properties and algebraic methods to solve this equation.

Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

Then, we can combine our terms with variables.

Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

Therefore, by solving the multi-step equation, we solved that x = 6.
Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ = 
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ = 
tanθ = 0.52
θ = 
θ = 27.47°
The ramp forms 27.47° with the ground.