Answer:
=
−
8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Answer:
8 arrangement
Step-by-step explanation:
2 white balloons and 3 red balloons for every arrangement
For this question I would put the problem into slope-intercept form or y=mx+b. So add 3x to both sides so that the equation becomes y=3x+3 Then this equation is easier to graph. the y-intercept is 3 so there is a point at (0,3). and the slope is 3 so you would go over 1 up 3. Then connect those points and you have finished the graph. Hope this helps.
Answer:
Part of work left to finish after two work hours is 7/20
Step-by-step explanation:
Firstly, we need to calculate their joint work rate
That will be;
1/(1/5 + 1/8) = 1/(13/40) = 40/13
This means that they will complete the task in 40/13 hours
1 whole part takes 40/13
x part will take 2 hours
x * 40/13 = 2
40x = 26
x = 26/40
So the part that will be completed in two hours is 26/40
This means that the part left to complete will be:
1 - 26/40 = 14/40 = 7/20
Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)


According to the angle sum property, the sum of interior angles of a triangle is 180°.




Divide both sides by 2.

CE bisects ∠ACD.



Use angle sum property in triangle CDE,




Subtract 102 from both sides.


Therefore, the measure of angle DEC is 78°.