I have attached an image showing the sketch and the questions to answer.
Answer:
7) $1.28 per brick paver
8) 64 Sq.inches
9) $0.02 per Sq.inches
10) 0.4444 Sq.ft
11) 120 Sq.ft
12) Number of paver to cover patio = 270
Cost of that number = $345.6
Step-by-step explanation:
7) from the image attached, we can see that a box of 12 pavers cost $15.36.
Thus,cost of each brick paver = 15.36/12
>> $1.28 per brick paver
8) we see on the right of the image attached that the dimension of the brick paver is 8 inches length and 8 inches width.
Thus; square inches is the area = 8 × 8 = 64 Sq.inches
9) 1 paver has an area of 64 Sq. Inches. Thus, 12 pavers has an area of;
12 × 64 = 768 Sq.inches
Since cost of 12 pavers is $15.36
Thus coat per Sq inches of the pavers = 15.36/768 = $0.02 per Sq.inches
10) To find the Sq.ft each paver would cover, we will first convert the dimensions of the paver to ft.
Thus;
Length of 8 inches = 8/12 ft
Width of 8 inches = 8/12 ft
Area = (8/12) × (8/12)
Area = 4/9 Sq.ft = 0.4444 Sq.ft
11) The patio measures;
Length = 12 ft
Width = 10 ft.
Thus;
Area = 12 × 10 = 120 Sq.ft
12) Each paver has an area of 4/9 Sq.ft.
Thus;
Number of pavers to cover the patio = area of patio/area of each paver
Number of pavers to cover patio = 120/(4/9) = 270 pavers
12 pavers cost $15.36
Thus, 270 pavers will cost;
270 × 15.36/12 = $345.6
Answer the Question below:
Justification 1: Given
Justification 2: Distributive Property
Justification 3: Addition property of Order
Justification 4: Subtraction property of Order
Justification 5: Division Property of Order
Step-by-step explanation:
We need to solve the inequality and give reasons:
-2(x+6)<3(x+1)
Justification 1: Given
Applying distributive property by multiplying -2 and 3 with terms inside the bracket.
-2x-12<3x+3
Justification 2: Distributive Property
Adding 12 on both sides
-2x<3x+15
Justification 3: Addition property of Order
Subtract 3x on both sides
-5x<15
Justification 4: Subtraction property of Order
Divide both sides by -5 and reverse the inequality.
x>3
Justification 5: Division Property of Order
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
B. 8.59 NOT THE ANSWER
C. 2.93
D. 4.30
Answer:
D
Step-by-step explanation:
(ft). Rise of
Street (ft)
Dixie hill. 100. 60
Bell hill. 100. 50
Liberty hill 100. 20
A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
C. Bell hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty hill; it rises 1 foot for every 5 feet of horizontal travel.
Answer:
Option: B
Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
Step-by-step explanation:
A slope with a greater absolute value indicates a steeper line.
so, we will find the slope of each of the hill to check the steepness of the road.
1)
Dixie Hill
Street Horizontal distance vertical Distance
Dixie hill 100 60
The slope of the hill is:
Vertical distance/ Horizontal ditance
= 6/10=3/5
2)
Street Horizontal distance vertical Distance
Bell hill 100 50
slope=1/2
3)
Street Horizontal distance vertical Distance
Liberty hill 100 20
slope=1/5
As slope of Dixie Hill is greater than the rest two.
Hence, option: B is correct.
B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
x +3=0