Answer:
<em>Trabajó 3 horas al día</em>
Step-by-step explanation:
<u>Proporcionalidad</u>
Una persona planeó terminar la obra en 15 dias, pero tardó 10 dias adicionales porque trabajó 2 horas menos por día.
Usaremos proporciones para calcular las horas de trabajo diarias.
Si 2 horas diarias representan 10 dias de atraso, entonces cada hora representa 5 dias de trabajo.
Si la obra tardaba 15 dias, entonces la persona trabajó 15/5 = 3 horas diarias.
D because there are 10 gallons of gas remaining as you can see on the y axis and 10 gallons is being used for each 10 miles because 10 x 10 is 100 and the graph is counting up by 10
Answers:
So the solution is (x,y) = (4, -1)
=============================================================
Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
------------------------
To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,
x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
Answer:
Step-by-step explanation:
Given that,
The company makes 4 different sweat shirts
Each year they make 60,000 of each kind.
So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.
So, number of brand is 4
n = 4.
Then,
1 brand = 60,000
Therefore, 4 brand = 60,000 × 4
4brand = 240,000 sweat shirts.
So, in a year the company will make 240,000 sweat shirts.
