Answer:
They sold 120 milkshakes that day
Step-by-step explanation:
We can set up a proportion
Note: If you have some value, , and it is
of the total amount, you can find the value by doing the equation
You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
2 answers:
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Answer:
The fraction is
Option (B) is correct.
and
Step-by-step explanation:
Let n denotes numerator and d denotes denominator of the fraction.
Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.
That is
Cross multiply , we get,
Or, ........(1)
Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4
That is
Cross multiply , We get,
.........(2)
.......(3)
Thus, from (1) and (2) , option (B) follows.
Solving equation (1) and (3) to get the original fraction using elimination method,
3n - 2d = 0 ............(1)
and 3d - 4n = 2 .........(3)
Multiply equation (1) by 3 , we get ,
9n - 6d = 0 ..........(4)
Multiply equation (3) by 2 , we get ,
-8n + 6d = 4 ..........(5)
Adding (4) and (5) , we get,
9n - 6d -8n + 6d = 4 + 0
⇒ n = 4
Put n = 4 in (1), we get
3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0 ⇒ 12 = 2d ⇒ d = 6
so, the numerator is 4 and the denominator is 6.
Thus, the fraction is
Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles
Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles
Hence,
One pair of supplementary angles is ∠5 and ∠6