The ordered pairs are (-9,-12) and (6,0) satisfying the equation 4x – 5y = 24. The correct option is A and D.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 4x – 5y = 24. We will check the points as:-
4x – 5y = 24
Use:- (-9,-12)
( 4 x -9 ) - ( 5 x 12) = 24
-36 - 60 = 24
24 = 24
4x – 5y = 24
Use:- (6,0)
( 4 x 6 ) - 0 = 24
24 = 24
Therefore, the ordered pairs are (-9,-12) and (6,0) satisfying the equation 4x – 5y = 24. The correct option is A and D.
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Answer:
-11
Step-by-step explanation:
So, using the fact that one x intercept is 7, and the vertex is (-2,-4), we can solve for the other x intercept. While there are many ways to solve this, the way I prefer to do it is to realize that the x intercepts are the same distance away from the vertex. this means that if the vertex is at x = -2, and one x intercept is at x = 7, the other will be at -11, as 7+2 = -2+11.
The number of ounces of almonds would be in a one pound bag of this trail 9 1/3 ounces
Given:
Almonds = 7 ounces
Raisins = 5 ounces
Ratio of almonds to raisins = 7 : 5
Total ratio = 7 + 5
= 12
Total mixture = 1 pounds
= 16 ounces
1 pound = 16 ounces
Quantity of almonds in 1 pound mix = Ratio of almonds / Total ratio × Total mixture
= 7/12 × 16
= (7 × 16) / 12
= 112 / 12
= 9 1/3 ounces
Therefore, number of ounces of almonds would be in a one pound bag of this trail is 9 1/3 ounces
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Answer: In your mix, you have 7 ounces of almonds and 5 ounces of raisins, which adds to 7 + 5 = 12 ounces of mix.
Because we want to know the proportion of almonds, then if 12 is the total amount, 7/12 is the proportion of almonds in the mix, this is 7/12 = 0.583
In one pound there are 16 ounces, so in one pound of mix you have 16 ounces of it. Now you know the proportion of almonds in a mix is of 0.583, then you multiply this by the ounces of mix and you get the ounces of almonds in it:
0.583*16 = 9.33
then you have 9.33 ounces of almonds in one pound of mix.
the set of all natural numbers, the set of all whole numbers, and the set of all integers
the set of all integers, the set of all rational numbers, and the set of all real numbers
the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
Answer:
Option C (the set of all integers, the set of all rational numbers, and the set of all real numbers).
Step-by-step explanation:
The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.
As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.
As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.
After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers, Therefore, Option C is the correct answer!!!
Answer:
the set of all integers, the set of all rational numbers, and the set of all real numbers
Step-by-step explanation:
no explanation needed