6. One side of an equilateral triangle is 2x + 15. The triangle has the same perimeter as árectangle with a perimeter of 12x +9. Write an equation to model the problem. Solve.X=Cr7. The sum of 3 consecutive odd integers is -105. Write an equation to model the situation.Find the THREE integers.8. There are two internet providers in Camden. Charter offers internet for a set up fee of$100 and then you pay $65 each month. Benton County Cable offers internet for $200set up fee but, then you only pay $50 each month. Write an equation that would find thenumber of months when the two companies would cost the same amount.9. Ben and his friends are going to the movies. While at the movies, they purchased xbuckets of popcom. The number of drinks they purchased was twice as many as thenumber of popcorns. The number of candies that they purchased was two more thanthe number of popcorns. Altogether, they purchased 18 items. Write and solve anequation to model the situation.10. Amber ordered x items from Amazon for $22 each. She paid a flat fee of $10 forAgyation to model the situation. Label each part of the equation.

Note: according to our guidelines we can answer only first question because there are multiple…

Answered: 6. One side of an equilateral triangle…

6. One side of an equilateral triangle is 2x + 15. The triangle has the s rectangle with a perimeter of 12x +9. Write an equation to model th

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

6. One side of an equilateral triangle is 2x + 15. The triangle has the same perimeter as á
rectangle with a perimeter of 12x +9. Write an equation to model the problem. Solve.
X=
Cr
7. The sum of 3 consecutive odd integers is -105. Write an equation to model the situation.
Find the THREE integers.
8. There are two internet providers in Camden. Charter offers internet for a set up fee of
$100 and then you pay $65 each month. Benton County Cable offers internet for $200
set up fee but, then you only pay $50 each month. Write an equation that would find the
number of months when the two companies would cost the same amount.
9. Ben and his friends are going to the movies. While at the movies, they purchased x
buckets of popcom. The number of drinks they purchased was twice as many as the
number of popcorns. The number of candies that they purchased was two more than
the number of popcorns. Altogether, they purchased 18 items. Write and solve an
equation to model the situation.
10. Amber ordered x items from Amazon for $22 each. She paid a flat fee of $10 for
Agyation to model the situation. Label each part of the equation.

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