The fraction 7/8 x 4/5 is equivalent to 7/10 when simplified.
Given that are two fractions 7/8 and 4/5 we need to find their product.
To calculate the expression 7/8 x 4/5, you need to multiply the two fractions together.
Here's the step-by-step explanation:
Step 1: Multiply the numerators (top numbers) together:
7 x 4 = 28
Step 2: Multiply the denominators (bottom numbers) together:
8 x 5 = 40
Step 3: Write the result as a new fraction:
28/40
Step 4: Simplify the fraction (if possible) by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD:
GCD(28, 40) = 4
Divide both numerator and denominator by 4:
28 ÷ 4 = 7
40 ÷ 4 = 10
So, the final answer is 7/10.
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Answer: True.
Step-by-step explanation: The motive of all statistical tests is to check whether all the variables or unknown quantities we are using in the test are independent of each other or are related among themselves.
Also, when we write an article, we should always check whether the statistical test we are using is suitable for the type of data concerned or not.
Furthermore, if a statistical test come out to be invalid, then it may be possible that there are some questions that are misinterpreted.
Thus, the answer is true.
−1 ≤ x ≤ 17
|x + 8| ≤ 9
−17 ≤ x ≤ 1
|x − 9| ≤ 8
1 ≤ x ≤ 17
|x + 9| ≤ 8
−17 ≤ x ≤ −1
Answer:
Option A is right
Step-by-step explanation:
Given that a number x is no more than 9 units away from 8
This implies that number can be either larger than 8 by less than 9 units or smaller than 8 by less than 9 units.
Difference between x and 8 is at most 9.
We represent in absolute value as
Hence option A is right
The solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.
Here, we have,
To solve the system of equations:
Equation 1: x - 3y = -2
Equation 2: x + 3y = 16
There are multiple methods to solve this system, such as substitution or elimination.
Here, we'll use the elimination method to eliminate the variable "x":
Add the two equations together:
(x - 3y) + (x + 3y) = -2 + 16
Simplifying, we get:
2x = 14
Divide both sides of the equation by 2:
2x/2 = 14/2
Simplifying further, we have:
x = 7
Now, substitute the value of x into either of the original equations (let's use Equation 1):
x - 3y = -2
Substituting x = 7, we get:
7 - 3y = -2
Solve for y:
Subtract 7 from both sides:
-3y = -2 - 7
-3y = -9
Divide both sides by -3:
y = -9 / -3
y = 3
Therefore, the solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.
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