Find p(blue and even). 2 blue, 3 grean, 1 yellow, 4 mangenta, a. 1/10 b. 3/5 c. 7/10
2 answers:
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Answer:
- length: 5.7 yd
- width: 1.7 yd
Step-by-step explanation:
Let w represent the width of the carpet. Then the length is w+4 and the area is ...
w(w +4) = 10
w² +4w = 10 . . . . . eliminate parentheses
w² +4w +4 = 14 . . . . . . add the square of half the w-coefficient to complete the square
(w +2)² = 14 . . . . . . . . . rewrite as a square
w +2 = √14 . . . . . . . . . take the square root
2 = -2 +√14 ≈ 1.7 . . . . yards (width)
Then the length is 4 more yards than this, so is ...
length = 1.7 +4 = 5.7 . . . yards
The length and width are 5.7 and 1.7 yards, respectively.
_____
In the attached graph, we let x represent the length. As you can see, the magnitudes of the two zeros are width and length.
Answer:
7.
8. l=11cm and w=7 cm
9.
10.
Step-by-step explanation:
Question 7.
The given expression is:
Expand the parenthesis using the distributive property:
Group similar terms:
Simplify
Divide both sides by -10
Question 8:
Let the width of the rectangle be;
The length of the rectangle is
The perimeter is given as:
Given that the perimeter P=36, then:
Divide both sides by 2:
Subtract 4 from both sides:
The dimensions of the rectangle is: w=7 cm and l=7+4=11cm
Question 9
Let the number be x.
"5 fewer than the number" is written as
"5 fewer than a number is at least 12" becomes
Question 10:
Let the number be x.
The quotient of a number and 3 is written as:
The quotient of a number and 3 is no more than 15 is written as;