The given sentence into an inequality is 5x-9≥-28.
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, nine subtracted from the product of 5 and a number is at least -28.
Let the unknown number be x.
nine subtracted from the product of 5 and a number
5x-9
So, inequality is 5x-9≥-28
Now, 5x≥-28+9
5x≥-19
x≥-19/5
x≥-3.8
Therefore, the given sentence into an inequality is 5x-9≥-28.
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Answer:
5x - 9 ≥ -28
Simplifying gives:
x ≥ -3.8
Step-by-step explanation:
Nine subtracted from the product of 5 and a number is at least -28
Let the number be x so;
5x - 9 ≥ -28
5x ≥ -28 + 9
5x ≥ -19
x ≥ -19/5
x ≥ -3.8
Answer: The size of the sample is 840.
The probability that the first three letters of the four-letter code are vowels is
Step-by-step explanation:
Th total number of letters given to form code of 4 letters = 7
Since, the order of the letters in the code matters, which means there is no repetition.
The total number of ways to form the code size =
Therefore, The size of the sample is 840.
Since, there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels =
The probability that the first three letters of the four-letter code are vowels is
=
The probability that the first three letters of the four-letter code are vowels is 1/35 and the size of the sample is 840.
Step 1 - Determine the sample size.
It is to be noted that the total number of letters given to form code of 4 letters = 7
Given that the order of the letters in the code matters, which means there is no repetition; hence,
The total number of ways to form the code size = 7 x 6 x 5 x 4 = 840
Thus, the size of the sample is 840.
Step 2 - Solve for the Probability
Given that there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels
= 3 x 2 x 1 x 4
= 24
Hence, the probability that the first three letters of the four-letter code are vowels is
= 24/840
= 1/35
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Answer:
Step-by-step explanation:
Let Kaylee used the amount of green paint in the mixture = x ounces
and the amount of white paint = y ounces
Total amount of mixture = 50 ounces
Equation will be x + y = 50 ------(1)
Ratio of green paint to the white paint in the mixture = 5 : 3
⇒ x : y = 5 : 3
⇒
⇒ x = ---------(2)
Therefore, By solving these two equations by substitution method we can get the amount of green and white paint used in the mixture.