Answer:
El costo es:
Primero tenemos un cargo fijo de $140.
Luego tenemos un $25 por cada m^3 consumido.
Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:
C(x) = $140 + $25*x.
Esto es una relación linear.
A) En este caso tendríamos x = 140
C(140) = $140 + $25*140 = $3640
B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.
C) El grafico estará al final. En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.
D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.
Answer:
t/8 + t/7 = 1
Step-by-step explanation:
Given in the question that,
time require for Jose to paint the house = 7 hours
time require for Brandon to paint the house = 8 hours
Suppose t means Full house painted.
<h3>
To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>
7 hours----t
1 hour ---- t/7
8 hours----t
1 hour ---- t/8
<h3>
Equation</h3>
t/8 + t/7 = 1 (in one hour)
(7t + 8t)/8(7) = 1
15t/56 = 1
15t = 56
t = 56/15
t = 3.73 hours
Answer:
6/8 is greater than 1/2
Step-by-step explanation:
6 is over half of 8, its 3/4 of 8
Answer:
Area of trapezium = 4.4132 R²
Step-by-step explanation:
Given, MNPK is a trapezoid
MN = PK and ∠NMK = 65°
OT = R.
⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).
Now, sum of interior angles in a quadrilateral of 4 sides = 360°.
⇒ x + x + 65° + 65° = 360°
⇒ x = 115°.
Here, NS is a tangent to the circle and ∠NSO = 90°
consider triangle NOS;
line joining O and N bisects the angle ∠MNP
⇒ ∠ONS = 
= 57.5°
Now, tan(57.5°) = 
⇒ 1.5697 = 
⇒ SN = 0.637 R
⇒ NP = 2×SN = 2× 0.637 R = 1.274 R
Now, draw a line parallel to ST from N to line MK
let the intersection point be Q.
⇒ NQ = 2R
Consider triangle NQM,
tan(∠NMQ) = 
⇒ tan65° =
⇒ QM = 
QM = 0.9326 R .
⇒ MT = MQ + QT
= 0.9326 R + 0.637 R (as QT = SN)
⇒ MT = 1.5696 R
⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R
Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).
⇒ A = (
) × (ST)
= (
) × 2 R
= 4.4132 R²
⇒ Area of trapezium = 4.4132 R²
Answer:
<h2>The solution is x = 2 and y = 1.</h2>
Step-by-step explanation:
The given equations are x = 4 - 2y.......(1) and 3x - 2y = 4......(2).
Putting the value of the first equation in the second, we get
3x - 2y = 4
or, 3(4 - 2y) - 2y = 4
or, 12 - 6y - 2y = 4
or, 8y = 8
or, y = 1.
Putting the value of y in the first equation, we get x = 4 - 2 = 2.
