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3 years ago

Solve -6x+3-12x-8=31

Mathematics

2 answers:

Gwar [14]3 years ago

6 0

X = -2

Combine terms to get:

-18x - 5 = 31

Add 5 to both sides

-18x = 36

Divide by -18

x = -2

baherus [9]3 years ago

5 0

Answer: x=-6

Step-by-step explanation:

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Pie

Answer:

15 $in^{3}$

Step-by-step explanation:

Given:

Volume of Cone= 5 $inch ^{3}$

Solution:

Formula:

Volume of Cone = $\frac{1}{3} \pi r^{2} h$

Volume of Cylinder= $\pi r^{2} h$

$\therefore$ We can say that

Volume of Cone = $\frac{1}{3} \times$ Volume of Cylinder

$\therefore$ Volume of cylinder = 3 $\times$ Volume of Cone

Now Substituting given data we get

Volume of Cylinder= 3 $\times$ 5

Volume of Cylinder= 15 $in^3$

3 0

3 years ago

A 90-inch length of ribbon is to be cut into three pieces. The longest piece is to be 30 inches longer than the shortest piece,

Free_Kalibri [48]

Lets name the shortest piece a, the medium b and the longest c

Together they are 90inches
$a + b + c = 90$
The longest is 30 inches longer than the shortest
$c = a + 30$
The third piece is half the lenght of the longest
$b = \frac{c}{2}$

So if you place c=a+30 in the other 2 equasions you get

$a + b + (a + 30) = 90 = 2a + b + 30$
And
$b = \frac{30 + a}{2}$
Now if you put this 2 toghether u get
$2a + \frac{30 + a}{2} + 30 = 90$
Multyplied by 2
$4a + 30 + a + 60 = 180$
$5a = 90$
Meaning that a=18inches

Now that we have the lenght of a we put it in the previous equasion

$b = \frac{30 + 18}{2}$
So b=48/2 which means b=24inches

And together they must be 90 so

$18 + 24 + c = 90$

C=48inches

6 0

4 years ago

Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?

Margarita [4]

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

$\frac{3}{5}$ * $\frac{735}{1}$

= $\frac{(3)(735)}{(5)(1)}$

= $\frac{2205}{5}$

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

$\frac{1}{3} * \frac{735}{1}$

= $\frac{(1)(735)}{(3)(1)}$

= $\frac{735}{3}$

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

Hope this helps, please mark brainliest if possible. Have a nice day.

3 0

3 years ago

Find the vertices and foci of the hyperbola with equation x squared over nine minus y squared over sixteen = 1.

Arisa [49]

<em>Standard equation of hyperbola is </em> $\frac{x^{2} }{ a^{2} } - \frac{ y^{2} }{ b^{2} } = 1$ .

<em>Comparing given info with standard equation, we get
</em>a(vertices)= +3 and -3
foci = $\sqrt{ a^{2} + b^{2} } = \sqrt{9+16} = \sqrt{25} =5$ .

7 0

3 years ago

Which equations are true?

ohaa [14]

The correct answer from the task content is; Choice C; None of the above.

<h3>Which of the equations are true?</h3>

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.