Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
Answer:
16. 30 * (30+12)/4*(L)*20
17. Volume = 6300 * Length of rectangular prism
Step-by-step explanation:
The width of a rectangular prism is <u>30 cm</u>. This is <u>12 more than one-fourth of the length</u>. Find the volume of the prism, given the <u>height is 20 cm</u>.
Let L = length of rectangular prisim W = width and H = height
16.
Volume of a rectangular prism is width * length * height
30 * (30+12)/4*(L)*20
17.
= 30 * (30+12)1/4(L)*20
= 30 * (42/4)*L * 20
= 600 * 10.5 * L
= 6300 * L
Volume = 6300 * Length of rectangular prism
You are to graph <span>y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).
Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:
</span><span>y = 1.6*|x – 2/1.6| – 3.2
This tells us that the vertex of </span><span>y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.
Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in </span><span>y = |1.6x – 2| – 3.2 and find y:
y = 2-3.2 = -1.2
The y-intercept is located at 0, -1.2)
Plot this y-intercept.
Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.</span>
Answer:
38°
Step-by-step explanation:
4x-6x = -6 - 10
-2x = -16
__ __
-2 -2
x = 8
(6x-10)
(6(8)-10)
48-10
38°
Answer:
d = 5,35 ft
Step-by-step explanation: See annex
Figure in annex is clear,
sin ∠42⁰ = d / 8
And
sin ∠42⁰ = 0.669
d/8 = 0,669
d = 0,669*8
d = 5,35 ft
