Answer:
- Solution of equation ( x ) = <u>7</u>
Step-by-step explanation:
In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>
</u>
<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

On further calculations we get :

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

On further calculations we get :

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

On further calculations we get :

- <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting value of x in given equation. So ,
- 4 ( 5x - 2 ) = 2 ( 9x + 3 )
- 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]
- 4 ( 35 - 2 ) = 2 ( 63 + 3 )
<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Answer:
the answer is 2.89
Step-by-step explanation:
u divide 289 to 100 or 289/100=2.89
hope this helps
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
The first one and the last one, the 2 middle ones are not corresponding
Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)


.
Then, 
=
=
(
)
=
=
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.