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3 years ago

-7d>105 what is the solution?

Mathematics

2 answers:

Bumek [7]3 years ago

4 0

Answer: d < -15

Explanation: When you're asked to solve an inequality like -7d < 105, your goal should be the same as it was when solving equations, to get d by itself on one side.

In this problem since d is being multiplied by -7 on the left side of the inequality, to get d by itself, we divide both sides by -7. But here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So this greater than in our original problem becomes less than in our second step. On the left side, the -7's cancel and we are left with d and on the right side, 105 divided is -15. So we have d < -15.

Notice that I switched the direction of the inequality sign above.

Jet001 [13]3 years ago

3 0

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

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Please help if you can!!!!

storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y y = 15-x substitute into second equation

1.5x + .75(15 - x) = 18

You should get the correct answer for number of hot dogs if you solve this correctly. Put your answer in the x + y =15 equation to get y. Then put both x and y into the cost equation and check your answer.

Hope this helps.

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