Answer:
The area of the original rectangle = 189 sq ft.
Step-by-step explanation:
Let, the width of the rectangle = m feet
So, the length of the rectangle = (2 m + 3) ft
Now, new width w' = (m + 4)
Perimeter of new rectangle (P') = 68 ft
Perimeter of a rectangle = 2 (LENGTH + WIDTH)
⇒68 ft = 2( L + W')
or, 68 ft = 2 [( 2m + 3) + (m + 4)]
or, 2 (3m + 7) = 68
or, 3m + 7 = 68/2 = 34
⇒ 3m = 34 - 7 = 27
⇒ m = 27/3 = 9
or, m = 9 ft
Hence, the original width of the rectangle = 9 ft
Original Length of the rectangle = 2m + 3 = 2(9) + 3 = 21 ft
Now, Area of the Rectangle = LENGTH X WIDTH
= 21 ft x 9 ft = 189 sq ft
Hence,the area of the original rectangle = 189 sq ft.
Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
Answer:
25
Step-by-step explanation:
25 because when you add 12 and 5 then subract the numerator you get 25
<span><span><span>3n</span>+1</span>−<span>2n</span></span>+<span>8
</span><span>Combine Like Terms:
</span>
<span><span><span>3n</span>+1</span>+<span>−<span>2n</span></span></span>+<span>8
</span>(3n+−2n)+(1+8)
=<span>n+<span>9
</span></span>
Answer is n+9
Hope I helped
She
wants to serve --------- > 2 gallons of juice that is 75% orange
juice and 25% pineapple juice
then
2*0.75------------------ > 1.5 gallons of orange juice
2*0.25------------------ > 0.5 gallons of pineapple juice
2 gallons------------ >1.5 gallons of orange juice+ 0.5 gallons
of pineapple juice
if
1 gallons pineapple juice mixture--------------------- > 0.40 gallons pineapple juice
X-------------------------------------------------------------------
> 0.50 gallons pineapple juice
X=50/40=1.25
gallons juice mixture
1.25
mixture gallons---- > 0.50 gallons pineapple juice+0.75 gallons orange juice
Therefore
(2-1.25)=0.75
gallons of orange juice
2 gallons------------ >0.75 gallons of orange juice+ <span>1.25 mixture gallons </span>
0.75*(p)+1.25*(m)=2--------------- > (0.75/1.25)*(p)+(1.25/1.25)*m=2/1.25
0.60p+m=1.6
The answer is 0.60p+m=1.6
