Answer:
x = - 7
Step-by-step explanation:
Express the diagrams in equation form with output y
A y = 5x - 4
B y = 3x + 8
Equate the right sides so that A is 3 times B
5x - 4 = 3(3x + 8) ← distribute parenthesis
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7
As a check
A y = 5(- 7) - 4 = - 35 - 4 = - 39
B y = 3(- 7) + 8 = - 21 + 8 = - 13
then - 13 × 3 = - 39
The required input is x = - 7
A straight line is 180°. See the obtuse angle with the "155°"? There is straight line that starts at the "8)" and goes to the "?". Therefor, that 155° you see can be subtracted from 180. 180-155=25, which means the very acute angle in the triangle is 25<span>°. The three angles in a triangle have to equal 180, and you already have 60 and 25. 60+25 is 85. 180-85 is 95. This means that the bottom right angle within the triangle is 95. Well, if you know angle rules, then you'll know that angle "?" is also 95, because it is perpendicular to the bottom right angle within the triangle. :) Hoped this helped! Sorry I took so long to write it... I had to go to the store before I could finish xD</span>
60% of what number is 348?
The answer is 580.
Answer:
1.07 (15 + x) = 42.80
Step-by-step explanation:
Given data
CD= $15
Let the cost of the video game be x
The total cost= 15+x
Hence the equivalent expression is
1.07 (15 + x) = 42.80
open bracket
16.05+1.07x= 42.80
42.80-16.05= 1.07x
26.75=1.07x
x= 26.75/1.07
x= 25
Check
7% tax for CD
=0.07*15
=1.05
total =1.05+15
=$16.05
7% tax for Video game
=0.07* 25
=1.75
total =1.75+25
=$26.75
In all
=26.75+16.05
=$42.8