Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
<u>I . -10</u>
Putting -10 in the inequality
The inequality results in true after putting x=-10 so -10 is the solution of inequality.
<u>II. 5</u>
Putting 5 in the inequality
The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
<u>III. -1</u>
Putting -1 in the equation
Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have
now, we can use Pythagoras theorem
now, we can plug values
and we get
so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer:
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the unknowns or unknown variables are:
x: number of $ 0.45 comic books
y: number of $ 0.75 comic books
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:
x*0.45 + y*0.75= 9
On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:
x+4=y
The system of equations to solve is:
One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.
In this case we directly replace the expression of the variable and of the second equation in the first:
x*0.45 + (x+4)*0.75= 9
Solving:
x*0.45 + 0.75*x + 4*0.75= 9
1.2*x + 3=9
1.2*x= 9-3
1.2*x= 6
x= 6÷ 1.2
x=5
Replacing this value in the expression x+4=y you get:
5 +4=y
9=y
<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>
Answer:
<h2>a. $8.83</h2><h2>b. $136.83</h2><h2>The second option will be the right answer.</h2>Step-by-step explanation:
a.
The total tax which is need to be paid is 6.9% of the listed price.
6.9% of 128 = = 8.832 ≅ 8.83
b.
The person, who is going to buy a pair of boots, needs to pay the listed price as well as the required tax.
The total cost of the pair of boots is = listed price + tax = $(128 + 8.83) = $136.83