Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
have a taco truck or a fruit smoothie cart. The results of the survey are shown in the table. Taco truck Fruit smoothies Total Eighth-graders 75 45 120 Ninth-graders 105 25 130 Total 180 70 250 What is the relative frequency of eighth-graders who want fruit smoothies?
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The solution to given system of equations is
The given equation has one solution
<em><u>Solution:</u></em>
Given system of equations are:
12x - 13y = 5 --------- eqn 1
x = 23y + 10 --------- eqn 2
We have to solve the system of equations by substitution
<em><u>Substitute eqn 2 in eqn 1</u></em>
12(23y + 10) - 13y = 5
276y + 120 - 13y = 5
263y = 5 - 120
263y = -115
<em><u>Substitute the above value of "y" in eqn 2</u></em>
Thus the solution to given system of equations is
Thus the given equation has one solution