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
Using relations in a right triangle, it is found that:
tan(A) = 3/4 = 0.75.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this triangle:
- The adjacent side to A has length 40.
- The opposite side to A has length 30.
Hence the tangent of A is:
tan(A) = 30/40 = 3/4 = 0.75.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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There are 6 less boys then girls
there are 6 more girls then boys
there are 15 boys compared to 21 girls
Answer:
Step-by-step explanation:
Step-by-step explanation:
15 r blue marbles
20- 5 = 15
-6(a+8)
= (-6)(a+8)
= (-6)(a)+(-6)(8)
Your final answer would be -6a - 48!
