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
Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
Answer:
a = √10
Step-by-step explanation:
a² + b² = c²
a² + 9² = (√91)²
a² + 81 = 91
a² = 10
a = √10
hope this helps :)
40,023,032 = (4 x 1000000000) + (0 x 100000000) + (0 x 10000000) + (0 x 1000000) + (2 x 100000) + (3 x 10000) + (0 x 1000) + (0 x 100) + (3 x 10) + (2 x 1)
Answer:
s = 2j
Step-by-step explanation:
Given - Ada makes sparkling juice by mixing 2 cups of sparkling water
with every 4 cups of apple juice. Let s represent the number of
cups of sparkling water and j represent the number of cups of
apple juice.
To find - Write an equation that shows how s and j are related.
Proof -
Let total number of cups of sparkling water make = s
Total number of cups of apple juice make = j
Now,
Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.
⇒2s = 4j
⇒s = 2j
∴ we get
Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.
