4(0.5x + 2.5y - 0.7y - 1.3y + 4)
multiply 4 by all in parentheses
(4*0.5x)+(4*2.5y)+(4*-7y)+(4*-1.3y)+(4*4
=2x+10y-28y-5.2y+16
combine like terms
=2x-23.2y+16
ANSWER:
Expression simplified 2x-23.2y+16
Hope this helps! :)
-6x + 1 > -23 <=>
-6x > -24 <=>
x < 4
Answer:
Option D. dilation and reflection
Step-by-step explanation:
we know that
A reflection, rotation and a translation transformations, creates a triangles that are congruent
A dilation transformation, create a triangles that are similar
therefore
the answer is the option D
Answer:
$7.18
Step-by-step explanation:
Multiply the number of pounds bought by the cost of one pound.
(2.4 pounds)($2.99 per pound) = $7.176 ≅ $7.18
Answer:
The sum of the internal ángles = 360°
(3y+40)° and (3x-70°) are suplementary angles = 180°
then:
(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.
(3y+40) + (3x-70) = 180 ⇒ second eq
development:
from the first eq.
3x + x + 3y = 360 + 70 - 40 - 120
4x + 3y = 430 - 160
4x + 3y = 270 ⇒ third eq.
3y = 270 - 4x
y = (270 - 4x) / 3 ⇒ fourth eq.
from the secon eq.:
3y + 3x = 180 + 70 - 40
3y + 3x = 250 - 40
3y + 3x = 210 ⇒ fifth eq.
multiply by -1 the fifth eq and sum with the third eq.
-3y - 3x = -210 ⇒ (fifth eq. *-1)
3y + 4x = 270
⇒ 0 + x = 60
x = 60°
from the fourth eq.
y = (270-4x)/3
y = (270-(4*60)) / 3
y = (270 - 240) / 3
y = 30/3
y = 10°
Probe:
from the first eq.
(3x-70) + (3y+40) + 120 + x = 360
3*60 - 70 + 3*10 + 40 + 120 + 60 = 360
180 - 70 + 30 + 40 + 120 + 60 = 360
180 + 30 + 40 + 120 + 60 - 70 = 360
430 - 70 = 360
Answer:
y = 10