Answer:
c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)
53.45= 39.95 +0.15 (s +63) (use the distributive property)
53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)
53.45 = 49.40 +0.15s (subtract 49.40 from both sides)
4.05 = 0.15s (divide both sides by 0.15 so isolate s)
s= 27 (how many text messages were sent)
Step-by-step explanation:
I hope this helps :)
Answer:
Fencing needed = 20.8 units
Step-by-step explanation:
From the figure attached,
Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).
We have to find the length of fence required to cover the triangular garden.
Amount of fencing required = Perimeter of the triangular garden
Perimeter of the garden = AB + BC + AC
Formula to get the distance between A and B,
d = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
AB =
= ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
BC =
= ![\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D)
AC =
=
Perimeter = ![\sqrt{37}+\sqrt{37}+\sqrt{74}](https://tex.z-dn.net/?f=%5Csqrt%7B37%7D%2B%5Csqrt%7B37%7D%2B%5Csqrt%7B74%7D)
= 6.08 + 6.08 + 8.60
= 20.76
≈ 20.8 units
Therefore, amount of fencing required to cover the triangular park is 20.8 units.
Answer:
20
Step-by-step explanation:
Use <u>PEMDAS</u>
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
<em>Step 1 : Write equation</em> 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
<em>Step 2: Solve in parenthesis </em>4(18) ÷ (3) - 4
<em>Step 3: Solve multiplication </em> 72 ÷ 3 - 4
<em>Step 4: Solve division </em>24 - 4
<em>Step 5 : Solve subtraction</em> 20
Part A
The graph is shown below as an attached image.
The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)
I'm using GeoGebra to graph the line.
side note: (0, -3) is the y intercept which is where the graph crosses the y axis.
==================================================
Part B
Answer is choice 2
The graph can be written in the form y = mx+b, so it is linear
In this case, m = -2 is the slope and b = -3 is the y intercept
We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.
The answer is (n+11)(n-4). You want to find what multiplies to make -44 and what adds to make 7.