Enter your answer and show all the steps that you use to solve this problem in the space provided. A.Solve a–9=20 B.Solve b–9>20 C.How is solving the equation in part a similar to solving the inequality in part b? D.How are the solutions different?
Answers
Answer:
A) The value of a is 29.
B) The value of b isgreater than 29.
C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Step-by-step explanation:
Solving for Part A.
Given,
We have to solve for a.
By using addition property of equality, we will add both side by 9;
Hence the value of a is 29.
Solving for Part B.
Given,
We have to solve for b.
By using addition property of inequality, we will add both side by 9;
Hence the value of b isgreater than 29.
Solving for Part C.
In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
Solving for Part D.
The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Final answer:
To solve a - 9 = 20, we add 9 to 20, which results in a = 29. For b - 9 > 20, it's similar; we add 9 to 20, resulting in b > 29. The process is similar for both, but an equation's solution (a) is a single number, while an inequality's solution (b) represents a range of numbers.
Explanation:
To solve part A, which is a - 9 = 20, we will need to isolate the variable 'a' on the left side of the equation. Doing so gives us a = 20 + 9 or a = 29.
For part B, which is to solve b - 9 > 20, the operation is similar, but the result is an inequality, not a specific number. Solving it gives us b > 20 + 9 or b > 29.
The process is similar for both because you are essentially isolating the variable on one side of the equation or inequality. The difference is that the solution for an equation (part A) is a specific number, while the solution for an inequality (part B) is a range of numbers.
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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
Answers
When dividing 16,055 by 16, the result is 1,003 with a remainder of 15.
To find the remainder when 16,055 is divided by 16, we can use the modulo operation, denoted by the symbol "%".
Step 1: Perform the division:
16,055 ÷ 16 = 1,003.4375
Step 2: Determine the remainder using the modulo operation:
Remainder = 16,055 % 16
Step 3: Calculate the remainder:
Remainder = 15
Therefore, when 16,055 is divided by 16, the remainder is 15. This means that after dividing 16,055 by 16, we are left with a remainder of 15. The modulo operation helps us find the remainder when one number is divided by another.
In summary, when dividing 16,055 by 16, the result is 1,003 with a remainder of 15. This calculation is based on the concept of modulo arithmetic, which allows us to find the remainder when performing integer division.
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Answer:
The remainder is 7
Step-by-step explanation:
Do long division:
(please excuse my bad writing i used my mouse so it was really hard to write)
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D.
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Answers
v= 16*16*16
teh volume of teh cube is D. 4096 cm^3
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Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
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Answers
Let the missing term be X
Let the missing coefficient be Y
Therefore, (6a – X)5a = Y(a^2) – 35a
6a x 5a – X.5a = Y.a^2 – 35a
30a^2 – X.5a = Y.a^2 – 35a
Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
30 = Y; 5X = 35
Y = 30; X = 7
Therefore, (6a-7)5a = 30 a^2 – 35a
Answer:
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Step-by-step explanation:
Answers
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