- 3 ( x - 1 ) = 18
- or, 3x - 3 = 18
- or, 3x = 18 - 3
- or, 3x = 15
- or, x = 15 ÷ 3
- or, x = 5
<u>Answer</u><u>:</u>
<u>x </u><u>=</u><u> </u><u>5</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
1/6 of the third workers time
Step-by-step explanation:
one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time
Let x be the third workers time
Let the completed job time = 1
Time taken for 3 workers to complete the job = 1
now we solve for x
LCD = 2*3 = 6
We multiply the whole equation by 6
3 + 2 +6x = 6
5 + 6x = 6
subtract 5 on both sides
6x = 1
divide both sides by 6
Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
(40×30)+(45×x)=2175
1200+45x=2175
45x=2175-1200
45x=975
solving for x we get
x=975/45
x=65/3=21 2/3 hours
9(x - 4) = 9x - 33
9x - 36 = 9x - 33
9x - 9x = -33 + 36
0 = 3...(incorrect)....no solutions
Answer:
The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.
Step-by-step explanation:
Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.
We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.
Also, in the figure, we can see that the resultant force is denoted as “F”.
Now,
The magnitude of the resultant force can be calculated by using the Pythagoras theorem,
∴ F = √[F₁² + F₂²]
⇒ F = √[7² + 3²]
⇒ F = √[49 + 9]
⇒ F = √[58] N
