Answer:
x = -5
Step-by-step explanation:
to evaluate for x in this this question -5x-(8-x)=12
the firsst step, you would open the bracket with - then evaluate for the value of x
solution
-5x-(8-x)=12
-5x -8 + x = 12
combine the like terms
-5x + x = 12 + 8
-4x = 20
divide both sides by the coefficient of x
-4x/-4 = 20/-4
x = -5
Answer:
984 adults
281 teens
492 children
Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.
{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}
≈ {984, 281, 492}
Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
Rate : 2.7 * 10 ^5 kg/hectare
m = 2.7 * 10^5 kg/hectare * 1.0 hectare = 2.7 * 10^5 kg
50°= 1/2
m ( Carbon ) = 1/2 * 2.7 * 10^5 kg = 1.35 * 10^5 kg
The mass of Carbon is 135,000 kg or 135 tons.
