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Nat2105 [25]
3 years ago
14

Solve the inequality 8.25 + 10 + 5x <= 175 <= is less than or equal to

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

x ≤ 31.35

Step-by-step explanation:

8.25 + 10 + 5x ≤ 175

Combine terms

18.25 + 5x ≤ 175

Subtract 18.25 from both sides

5x ≤ 156.75

Divide both sides by 5

x ≤ 31.35

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Solve the simultaneous equations C^2+d^2=5 and 3c+4d=2
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If 3c+4d=2 then c=(2-4d)/3
And if you put that into the other equation
{\frac{2 - 4d}{3}}^{2}  +  {d}^{2}  = 5
Then you multiply everything by 3, getting

{(2 - 4d)}^{2}  + 3 {d}^{2}  = 15
And then

2 - 4d +  \sqrt{3} d =  \sqrt{15}
Leaving
d( \sqrt{3}  - 4) =  \sqrt{15}  - 2
I dont have a calc with me right now but you just pot this into the calculator:
d =  \frac{ \sqrt{15} - 2 }{ \sqrt{3}  - 4}
And when you get the number you insert it into the nest eqation to get c

c =  \frac{2 - 4d}{3}
So basically

c =  \frac{2 - 4 \frac{ \sqrt{15}  - 2}{ \sqrt{3}  - 4} }{3}







6 0
3 years ago
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Bradley cut a square hole out of a block of wood in wood shop. if the block was cube-shaped with side lengths of 8 inches, and t
borishaifa [10]
8^3-3^3
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485 cubic inches
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4 years ago
Tasha plants to tile the floor in her room with square tiles that are 1/4 foot long. will she use more or fewer tiles if she onl
WITCHER [35]

1/4 foot = 3 inches.
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The 1/3-ft square tile covers more area than a 1/4-ft square tile
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Mr. Thornton decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt, and divide
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6 0
3 years ago
X²+y²-6x+14y-1=0<br> and please show your work so I can learn
Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0
3 years ago
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