Mathematics, 26.07.2019 21:00 debbys4153

You give a gift card worth $90. you want to buy several movies that cost $12 each. write and solve an inequality that represents the number of movies you can buy and still have at least $30 on the gift card.

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Hello! We can write and solve an inequality like this:

90 - 12n ≥ 30

We set it up like this, because you have $90 on your gift card. It is $12 per movie, and you want to have at least $30 left, which means the symbol will be the greater than or equal to symbol (≥), because you want to have at least $30 or more remaining. Having exactly $30 left also counts in this equation.

How to solve the inequality:

First off, subtract 90 from both sides in order to get -12n ≥ - 60. Now, divide each side by -12 to isolate the "n". Because you are dividing a negative by a negative, your answer will be positive. -60/-12 is 5. Let's check it. 12 * 5 is 60. 90 - 60 is 30. 30 ≥ 30. And you divided by a negative, so we change the symbol to the less than or equal to sign (≤). There. n ≤ 5.

Answer from: Quest

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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