The Ordered pair (x,y) represents
→First Ordered pair,that is, x=Abscissa
→Second Ordered pair,that is , y=Ordinate
(+x,+y)=First Quadrant
(-x,+y)=Second Quadrant
(-x,-y)=Third Quadrant
(+x,-y)=Fourth Quadrant
⇒ (Positive abscissa, Positive ordinate)=Point will be in First Quadrant
Well, the first thing you would do is find like denominators for each fraction.
Since the smallest common term between the two is 40, that will be your denominator for each. Then you would multiply the numerator by the number your denominator was multiplied to get to 40. So, you would end up with 16/40 because 5*8=40 and 2*8=16 and 5/40 because 8*5=40 and 1*5=5.
After that, you would just subtract them.
16/40 - 5/40 = 11/40 and as a decimal that is 0.275. So, Joe has eaten 0.275 more pizza than Jane.
Hope this helps! :)
Answer:
5. 28
6. 6
8. 1,232
9. 2
Step-by-step explanation:
When you know both numerators (the numbers on top) or both denominators (numbers on bottom), you can divide the second by the first and then apply that to the other side. For example, on question five, I divided twenty by fifteen. The answer is 1.33333... or , or . So I multiply 21 by this number and my answer is 28. If visualization helps:
Step 1: 20 ÷ 15 = (second number divided by first number, using the side where we know both numbers)
Step 2: 21 × = 28 (y = 28. solved!)
You can do the same thing on question nine, even though the known numbers are on the bottom instead of the top. Fifteen divided by 120, then multiply sixteen by your answer - 0.125 - and you will see that j (i?) = 2 :)
If you have any questions, feel free to ask. Hope this helped!
Always
Sometime
Never
Answer:
Never.
Step-by-step explanation:
Definition:
In a 30-60-90 triangles:
As per the statement:
In a 30-60-90 triangle the long leg is half the hypotenuse.
since,
By definition;
length of a hypotenuse sides is twice the length of the shorter leg
⇒
⇒
⇒
Therefore. the given statement "In a 30-60-90 triangle the long leg is half the hypotenuse." is Never.
Given:
The graph of a number line.
To find:
The set of values for the given number line.
Solution:
As we move from right to left on a number line the values decreased however as we move from left to right on a number line the values increased.
From the given number line it is clear that there is an open circle at 7 and a close circle at 10. It means 7 is not included in the solution set but 10 is included in the solution set.
From the point 7, the arrow approaching to the left it means all the values less than 7 are included in the solution set, i.e., x < 7.
From the point 10, the arrow approaching to the right it means all the values greater than 10 or equal to 10 are included in the solution set, i.e., x ≥ 10.
Solution set : x < 7 or x ≥ 10.
Therefore, the correct option is A.