Chapter 1 Algebra: Understand Numerical And Algebraic Expressions
Homework And Practice 8
Page 59 Exercise 1 Answer
Step 1 → Identify the values in the formulas
P = Perimeter of the rectangle
l = length of the rectangle = 12 ft
w = width of the rectangle = 8 ft
Step 2 → Substitute the values in the formula and evaluate
P = 2l + 2w
P = 2(12) + 2(8) Substitute the value
P = 24 + 16 Simplify
P = 40 ft
The perimeter of the rectangle LMNP is 40 feet.
Result
40 feet
Read And Learn More: enVisionmath 2.0 Grade 6 Volume 1 Solutions
Page 59 Exercise 2 Answer
Step 1 → Identify the values in the formulas
A = Area of the rectangle
l = length of the rectangle = 12 ft
w = width of the rectangle = 8 ft
Step 2 → Substitute the values in the formula and evaluate
A = lw
A = (12)(8) Substitute the value
A = 96 \(ft^2\)
The area of the rectangle LMNP is 96 square feet.
Result
96 \(ft^2\)
Page 60 Exercise 3 Answer
Step 1 → Identify the values in the formulas
a = rate of acceleration
f = final speed = 77 meters per second
s = starting speed = 44 meters per second
t = time = 11 seconds
Step 2 → Substitute the values in the formula and evaluate
\(a=\left(\frac{f-s}{t}\right)\)
\(a=\left(\frac{77-44}{11}\right)\) Substitute the value
\(a=\left(\frac{33}{11}\right)\) Simplify
a = 3
The acceleration of the racecar is 3 meters per second squared.
Result
3 meters per second squared
Page 60 Exercise 4 Answer
Step 1 → Identify the values in the formulas
a = rate of acceleration
f = final speed = 26.9 meters per second
s = starting speed = 0 meters per second
t = time = 6.5 seconds
Step 2 → Substitute the values in the formula and evaluate
\(a=\left(\frac{f-s}{t}\right)\)
\(a=\left(\frac{26.9-0}{6.5}\right)\) Substitute the value
\(a=\left(\frac{26.9}{6.5}\right)\) Simplify
a = 4.13
The rate of acceleration of the car is 4.13 meters per second squared.
I do not support the claim.
Result
I do not support the claim
Page 60 Exercise 5 Answer
Cups of flour requires for one recipe = \(\frac{3}{4}\)
Cups of flour requires for other recipe = \(\frac{1}{2}\)
Total cups of flour requires
= \(\frac{3}{4}\) + \(\frac{1}{2}\)
= \(\frac{3+2}{4}\)
= \(\frac{5}{4}\)
= 1.25
Both the recipes require a total of 1.25 cups of flour and Jenna has 2 cups of flour which is enough to make both recipes.
Result
Yes, 2 cups of flour is enough to make both recipes.
Page 60 Exercise 6 Answer
P = 2l + 2w
P = 2(l) + 2(w) Using Distributive Property
P = 2(l + w) 2 is the common factor
Since both the formula P = 2l + 2w and P = 2(l + w) is equivalent.
So, Jack and Sandy both are correct.
Result
Both the formula are correct as they are equivalent
Page 60 Exercise 7 Answer
Length:
Step 1 → Identify the values in the formulas
c = measures in centimeters
f = measure in feet = 9 ft
Step 2 → Substitute the values in the formula and evaluate
c = 0.3f × 100
c = 0.3(9) × 100 Substitute the value
c = 2.7 × 100 Simplify
c = 270
Width:
Step 1 → Identify the values in the formulas
c = measures in centimeters
f = measure in feet = 5 ft
Step 2 → Substitute the values in the formula and evaluate
c = 0.3f × 100
c = 0.3(5) × 100 Substitute the value
c = 1.5 × 100 Simplify
c = 150
Result
Dimension of rectangle in centimeter:
Length = 270 cm and Width = 150 cm