What do the two variables in this system represent?
the two variables represent the number of hot dogs or soft drinks you will get.
Write a system of equations to represent the model.
let s = soft drinks and let h = hot dogs
3s+2h=7.70
2s+h=4.55
What is the cost of 1 soft drink? <u>$1.4</u>
What is the cost of 1 hot dog? <u>$1.75</u>
Solving for the above two questions
<u>solve the second eqaution for h:</u>
2s+h=4.55
subtract 2s
h=4.55-2s
<u>substitute this into the first equation:</u>
3s+2(4.55-2s)=7.70
distribute the 2
3s+9.1-4s=7.70
add like terms
-s+9.1=7.70
subtract 9.1
-s=-1.4
divide by -1
s=1.4
<u>substitute into the equation for h:</u>
h=4.55-2s
h=4.55-2(1.4)
h=4.55-2.8
h=1.75
Answer:
D. (-2, -11)
Step-by-step explanation:
Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".
And out of all the options, D is the only one that works.
Hey there
____________
The correct answer is :3/5 of the numbers are odd so we just multiply 400 by 3/5:
400 \times \frac{3}{5} = 240
so the best prediction is 240.
_________________
Hope this helps you
Answer:
The two numbers are 9 and 5.
Step-by-step explanation:
The question is:
The sum of two numbers is 14, adding 1 to the greatest gives twice the smallest which are the two numbers. if it can be explained please
Solution:
Denote the two numbers by <em>x</em> and <em>y</em>.
It is provided that:
Also,
Solve the equations (i) and (ii) by the substitution method as follows:
In equation (ii) substitute <em>x</em> = 14 - y and solve for <em>y</em>:
Substitute <em>y</em> in equation (i) and solve for <em>x</em> as follows:
Thus, the two numbers are 9 and 5.
