Answer:
Step-by-step explanation:
Let X is the number of cards Kenny has
Let Y is the number of cards Lee has
1. Kenny had 5/7 more trading cards than lee, it means
X = Y + 5/7X (1)
2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:
X + 50%X = Y + 220 (2)
So, we solve the 2 equations to find out X and Y
<=> X = 
and Y = 
<=> X ≈181 and Y ≈ 52
The choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units
<h3>How to determine the
choices that are correct when determining the
distance between −56 and 69?</h3>
The endpoints are given as
−56 and 69
The distance between the endpoints is calculated using
Distance = |Difference between endpoints|
So, we have:
Distance = |-56 - 69|
Evaluate
Distance = 125
Hence, the choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units
Read more about number line at
brainly.com/question/4727909
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Answer: G
Explanation/Calculation:
You can clearly see that the white shapes are positive while the black shapes are negative. You can determine this because all (except F) claim that the 6 shapes are negative.
To make it easier, use elimination. It's definitely not J because you are not subtracting -6, but adding (as seen in the equation.) It is not F because 2(3)=6 when the equation needs -6.
So it is either G or H...
H claims that 12x+3+(-6) is what the model symbolizes; but this is incorrect. Unless x is a decimal, you can not have the large shape as the "purest" form (so to speak.) The "purest" state you can go in this model is a cube/square which=1.
Therefore, "G Jamey modeled 12 + 3x + (-6) and it is equivalent to 12x-3" is the correct answer.
Hope this helps you!
The Shark's teeth has a base of 2 cm and height of 1 cm.
Step-by-step explanation:
Step 1 :
Given,
the area of the shark's triangular teeth = 1 sq cm
Let b be the base and h be the height of the shark's triangular teeth.
We have the teeth's height is 1 cm short than the base
So h = b - 1
Step 2 :
Area of Triangle = (
) × b × h = 1
Substituting h = b -1
() × b × (b-1) = 1
=> b² - b = 2 = > b²-b-2 = 1
Solving for b we have
(b-2)(b+1) = 0
b = 2 or b = -1
Since b is the base , we take the positive value as length/distance cannot be negative.
So b = 2
h = b - 1 = 2 - 1 = 1
h = 1
Step 3 :
Answer :
The Shark's teeth has a base of 2 cm and height of 1 cm.
