Answer:
11 Square Units
Step-by-step explanation:
Let A be the area of the Rectangle
First statement: The area of the rectangle is increased by seven, we have :
A+7
Second Statement: Four less than twice the area of the rectangle
Twice the Area=2A
Four less = 2A-4
Therefore:
2A-4=A+7
Collecting like terms
2A-A =7+4
A=11
The area of the rectangle is 11 Square Units.
Answer:
b............ .......... which one is a b c d
For this case we must indicate the graph of the following inequality:
y≥1−3x
It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
It is not fulfilled
We test the last option B, we choose the point (3,1) that belongs to the graph:
1≥1−3(3)
\1≥1−9
1≥−8
it is fulfilled
Answer:
B
Step-by-step explanation:
The correct answer for this question is this one: "<span>147"</span>
Here's how to solve this problem.
Let <span>x = number of mystery books on the shelf </span>
<span>Let 3x = total number of books on the shelf </span>
<span>we are told that </span>
<span>x/5<10<x/4 </span>
<span>multiply by 20, </span>
<span>4x<200<5x </span>
<span>which means that </span>
<span>40<x<50 </span>
<span>So the number of mystery books can be any number between 41 and 49.
In other words, the possible total number of books could be three times the above numbers, 123, 126, 129,.... </span>
Choose the one that suits your answer choices.
Here are the following choices:
Which could be the number of books on the shelf?
A. 120 B 140 c 147 D 150
<span>A.three sides measuring 9 meters, 5 meters, and 5 meters
--> only one isosceles triangle
B.three sides measuring 6 inches, 3 inches and 9 inches
--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.
C.three angles measuring 25°, 25°, and 130°
--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles
D.three angles measuring 55°, 25°, and 125°
--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
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