Using proportions, the number of 1/4 cup servings that she can make is given by:
B. 3 and 5/9.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, considering that Susie has 8/9 of a cup, the following <u>rule of three</u> is established:
1 serving - 1/4 cups
x servings - 8/9 cups
Applying cross multiplication:
9x = 32
x = 32/9
Since 32 divided by 9 has quotient 3 with remainder 5, the correct option is given by:
B. 3 and 5/9.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
3 option in number line ,2nd option
Answer:
C) y − 6 = −4(x − (−2))
Step-by-step explanation:
The given equation is y = 1/4 x + 4 and passes through the point (-2, 6)
We have to find the perpendicular line.
The slope of the perpendicular line is the negative reciprocal of the given slope of the line.
The given slope of the line is 1/4,
The slope of the perpendicular line is -4.
It is passes through the point (-2, 6)
The formula is (y - y1) = m (x - x1)
Here x1 = -2 and y1 = 6 and m = -4
Plug in those values into the formula, we get
y - 6 = -4(x -(-2))
Therefore, the answer is C) y − 6 = −4(x − (−2))
Thank you.
Answer:
1.What are elliptic geometries
2.what are hyperbolic geometries?
3.why was elliptic geometries developed
4.why was hyperbolic geometries developed?
Step-by-step explanation:
1.Elliptic geometry is a non-Euclidean geometry with positive curvature which replaces the parallel postulate with the statement "through any point in the plane, there exist no lines parallel to a given line.
2 .Hyperbolic geometry, also called Lobachevskian Geometry, a non-Euclidean geometry that rejects the validity of Euclid's fifth, the “parallel,” postulate. ... In hyperbolic geometry, through a point not on a given line there are at least two lines parallel to the given line.
3.Felix Klein (1849–1925) modified the model by identifying each pair of antipodal points as a single point, see the Modified Riemann Sphere. With this model, the axiom that any two points determine a unique line is satisfied. Often an elliptic geometry that satisfies this axiom is called a single elliptic geometry.
4.The complete system of hyperbolic geometry was published by Lobachevsky in 1829/1830, while Bolyai discovered it independently and published in 1832.
hope this helps
65 miles per hr....
there is 60 minutes in 1 hr
so u r driving 65 miles in 60 minutes....so if u want per minute, then we must divide
65/60 = 1.08 rounded to the nearest tenths is 1.1 mile per minute <=
