Step by step explanation
Cost of one hotdog =140/56=2.5
To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70
So the numbers of hot dogs he had to sell more of =70-56=14
Answer:
5, 9, 13, 17, 21, .....
Step-by-step explanation:
To generate the sequence, substitute n = 1, 2, 3, 4, ..... into the rule
a₁ = 4(1) + 1 = 4 + 1 = 5
a₂ = 4(2) + 1 = 8 + 1 = 9
a₃ = 4(3) + 1 = 12 + 1 = 13
a₄ = 4(4) + 1 = 16 + 1 = 17
a₅ = 4(5) + 1 = 20 + 1 = 21
To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4</span>
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next.
258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
They lie in the same plane is the answer ;)
