The inequality which represents possible values of the expression 2+sqrt 10 by virtue of the given inequality; 3.1 < sqrt 10 < 3.2 as in the task content is; 5.1 < 2 + sqrt 10 < 5.2.
<h3>Which inequality correctly expresses the possible values of the expression; 2 + √10 as required in the task content?</h3>
It follows from the task content that the expression given is;
3.1 < sqrt 10 < 3.2
Since the given premises is an inequality, it follows that adding the same number to all parts of the inequality stills holds the inequality true.
Hence by adding 2 to all parts of the inequality, we have;
2 + 3.1 < 2 + sqrt 10 < 2 + 3.2
Therefore, we have;
5.1 < 2 + sqrt 10 < 5.2
Ultimately, 5.1 < 2 + sqrt 10 < 5.2 represent the possible values of the expression 2+sqrt 10 as given by the inequality 3.1 < sqrt 10 < 3.2.
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The factors you would use would be 2 and 4
Answer:
7
Step-by-step explanation:
<u>Concepts:</u>
- Division: a system of distributing a collection of things into equal parts
- Fractions: #s that represent a part of a whole
- Dividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other one
- Inverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)
<u>Solving:</u>
1. First, let's set up the equation:
7/8 ÷ 1/8
2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.
3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.
7/8 · 8 = 56/8 = 7
Therefore, 7/8 divided by 1/8 is equal to <u>7</u>.
Answer:
The answer is x + 4y = 7
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
Slope of the line between the points
(-1, 2) and (3, 1) is
Slope = 1-2/ 3+1 = - 1/4
Equation of the line using point
(-1, 2) is
y - 2 = -1/4(x + 1)
4y - 8 = - x - 1
x + 4y = 7
Hope this helps you
Answer:
The bookshelf will fit between the windows with 1 inch remaining.
Step-by-step explanation:
Total width available for bookshelf
Six and half feet = 6.5 feet = 78 inches
Total width of the bookshelf = 77 inches
Hence, the bookshelf Mrs. Aguilar has purchased will fit between the windows with 1 inch remaining.
