Answer:
Juan imprimió 7 páginas a color.
Step-by-step explanation:
Llamemos "b" a las copias en blanco y negro y "c" a las copias en color.
Juan imprimió 75 páginas. En forma simbólica es:
b + c = 75
b = 75 - c [1]
El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o 50 centavos si es a color. En total pago $6.90. En forma simbólica es:
0.05b + 0.5c = 6.90 [2]
Si reemplazamos [1] en [2],
0.05(75-c) + 0.5c = 6.90
3.75 - 0.05c + 0.5c = 6.90
0.45c = 3.15
c = 7
Juan imprimió 7 páginas a color.
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
( 
)
25 + ( 
+ 1 - 2x ) =
25 + 1 -2x = 0 ( ∵ Eliminate in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Hello,
Please, see the attached file.
Thanks.
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
<h3>Answer:</h3><h3>The equation for the slope of a line, given two coordinate points, (x1,y1) , (x2,y2), is (y2-y1)/(x2-x1) </h3><h3> So we get slope = (1-(-5)) / (4-1) = 6/3 = 2</h3><h3>A is your correct answer.</h3>
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