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:
![36=2[(w+4)+w)]](https://tex.z-dn.net/?f=36%3D2%5B%28w%2B4%29%2Bw%29%5D)
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;
Answer:
width = 11 feet
Step-by-step explanation:
The perimeter of a rectangle is 2 times length + width.
He already decided that the perimeter is at most 60 feet and the length is 19 feet. Then replacing in the formula for perimeter you have:
60 = 2 ( 19 + width)
30 = 19 + width
11 = width
Therefore the maximum width is 11 feet
Figure 1 3 rectangles
Figure 2 2 rectangles, 1 triangle
Figure 3 1 rectangle 1 semicircle
2 consecutive even integers : x and x + 2
x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84
x + 2 = 84 + 2 = 86
so ur 2 numbers are 84 and 86
step 1First, see how many letters in MATHCOUNTS are also in TEACH.
M no
A yes
T yes
H yes
C yes
O no
U no
N no
T yes
S no
That is 5 out of the 10 letters.
so
<span>the probability=</span>5/10-------> 1/2
<span>
the answer is1/2</span>
