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Write the constraint below as a linear inequality.A candidate will spendno less than $9100 on radio and TVadvertising. Each radio spot costs $150 and each TV adcost...

Question

Write the constraint below as a linear inequality.A candidate will spendno less than $9100 on radio and TVadvertising. Each radio spot costs $150 and each TV adcosts $720. Let x be the number of radio spots and let ybe the number of TV ads.Choose the inequality that represents the constraintA. 720x+150y≤9100B. 150x+720y≥9100C. 720x+150y≥9100D. 150x+720y≤9100

Write the constraint below as a linear inequality. A candidate will spend no less than $9100 on radio and TV advertising. Each radio spot costs $150 and each TV ad costs $720. Let x be the number of radio spots and let y be the number of TV ads. Choose the inequality that represents the constraint A. 720x+150y≤9100 B. 150x+720y≥9100 C. 720x+150y≥9100 D. 150x+720y≤9100



Answers

Set up an inequality and solve it. Be sure to clearly label what the variable represents. An organization wants to sell tickets to a concert. It plans on selling 300 reserved-seat tickets and 150 tickets at the door. The price of a reserved-seat ticket is to be $\$ 2$ more than a ticket at the door. If the organization wants to collect at least $\$ 3,750$, what is the minimum price it can charge for a reserved-seat ticket?

This problem. We have this company that is trying to set up a conference so they're going to rent a room which we're told cost $500. They're going to provide some food, which is going to be an additional $8 per person. And we're told that budgeted $1000 to plan this. So the first thing we want to dio is right and inequality to represent the situation. So let's start by thinking about our expenses. We have to add those together. Well, our expenses would be the amount for the room, which is 500 plus our food charges. While it's $8 per person, we don't know how many people how many people are going, So that's what we're gonna have our variable represent. So I'm gonna add eight X and eight X will represent the total cost for all of the food now, because they've budgeted $1000. That means that our expenses can't be bigger than, ah $1000. It could equal to it, but it just can't be larger. So our inequality sign will be less than or equal to, ah 1000 because our expenses on the left hand side must be less than or equal to this value. Okay, great. Now what we have to dio is solved A given inequality. So we're going to start by subtracting 500 from both sides of our inequality. So we'll have 1000 minus 500 which is just 500 and then we're going to divide both sides of our inequality by eight. Well, 500 divided by eight is 62.5. Well, let's think about what this means. Remember, X represents how many people are going to be there. So for saying X has to be less than 62.5. Well, first off, you can have half of a person, so we're gonna round down in this case to 62. So that means at most, 62 people can go to this conference

Yeah. And me, uh, friends And there ages differ by do he s He's father be is twice as or as he and be is wise as old as his sister See the age, uh, be and see Differ by 40 Yes, find ages Uh, e on and me.

All right. So for an advertising campaign, they can use an envelope that has a width of three inches from an area of at least 17.5 inches squared. So we want to see what waits, um, would be would satisfy these constraints. So first thing that I'm going to do is I'm gonna draw picture, so I have ah. Ah. Envelope here. Gloves are rectangles. And I know this wit is 3.5 inches. Your windpipe and the area is 17.5, and I know that area okay? Equals length times to it. Sign of this case. The area is at least 17 point by so area 17.5, or this could be greater than that. So 17 5 is a small list that it could be. And then you have 3.5 times, by the way, so I'm gonna divide by 3.5 on both sides. So then those air going to cancel out now I was gonna do 17.5 divided by 3.5 gives me five. So for this store, my length has to be at least

We have given here that we shows as seven X minus four by is according to minus three. Let's say this is a question first, and the second question is given as X plus two y is equal to three criticism cushion Second. Now we have used additional method to find the solutions. Say so we will cross multiply by two in this equation. So, uh, then leave it ed both of the equations. So this will be like this. Seven x minus Y is equal to minus three, and the second education will be like this. Two x plus four y is equal to six. Okay, now just solving this equation by addition. So the remaining part will be as nine X is equal to three. So x will be equal to one by three as three. Burning now just for w off execution. Purcell, my question post will be like this. Seven upon three minus four. Y is equal to minus three and then four by with the equal to seven by three less three. And after looking and see, um, it would be like this 16 by three. And after solving you can find out the real by as cool by. Okay, so we can say that here. The solution said for this question is here X is according to one by three, and vise accord took over a tree. And when we put these two values in a cushion second here and solving, then we will find out definitely three in averages that confirmed that of the solutions that is correct for this question, OK?


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