Length of rectangle = 5 less than 2x width
Perimeter = 146 cm
<u>Equations we will use...</u>
w = width
(2w - 5) = length (l)
perimeter (p) = 2(l + w)
<u>Substitute equation for </u><u>length</u><u> into equation for </u><u>perimeter</u>
p = 2(l + w)
146 = 2((2w - 5) + w) [use distributive prop.]
146 = 4w - 10 + 2w [combine like terms]
146 = 6w -10 [solve for w]
156 = 6w
w = 26 cm
<u>Now substitute width back into the </u><u>equation</u><u> for length...</u>
l = 2w - 5
l = 2(26) - 5
l = 47
Double check to make sure values added up to 146 cm
w + w + l + l = 146
26 + 26 + 47 + 47 = 146
146 = 146
Therefore, the width is 26 cm and the length is 47 cm.
Answer:
77 cubic inches
Step-by-step explanation:
Here is the complete question.
A solid metal prism has a rectangle base with sides of 4 inches and 6 inches and a height of 4 inches . A hole in the shape of a cylinder with a radius of 1 inch is drilled trough the entire length of the rectangular prism. What is the approximate volume of the remaining solid in cubic inches.
Solution
The volume of the solid prism is given by V = Area of base × height = lbh = 4 × 6 × 4 = 96 cubic inches.
The volume of the cylindrical hole is given by πr²h
r = 1 inch and h = 6 inches. So V = πr²h = π × 1² × 6 = 18.85 cubic inches.
The volume of the remaining solid = volume of solid prism - volume of cylindrical hole = (96 - 18.85) cubic inches = 77.15 cubic inches ≅ 77 cubic inches
Step 1: Create Equation: 12+15+x=55
Step 2: Solve it: you will get x=28
Step 3: You could check it by plugging your answer in.
Hope that helps!!!
Answer:
=114
Step-by-step explanation:
Answer:
42 + 7y
Step-by-step explanation:
multiply 6 and y by 7 and keep the addition sign.
