Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2
Answer:
(Choice C) 24+12R ≤100
$56
Step-by-step explanation:
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.
1)
Which inequality describes this scenario?
Choose 1 answer:
(Choice A) 12+ 24R ≤ 100
(Choice B) 12+24R ≥ 100
(Choice C) 24+12R ≤100
(Choice D) 24+12 ≥100
2)
What is the least amount of additional money Sofia can spend to get the sushi they need?
ans) ___ dollars
please solve fast !!!! thank you from advance :)
The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders
Sofia has ordered 24 pieces
Sofia needs 100 pieces
sushi comes in rolls
12 pieces per roll
= 12R
24 + 12R ≤ 100
(Choice C) 24+12R ≤100
B.
24 + 12R ≤ 100
12R ≤ 100 - 24
12R ≤ 76
R ≤ 76 / 12
R ≤ 6.33
Approximately 7 rolls
Sofia will order 7 more rolls
Each roll cost $8
R ≤ 7
7 × 8
= $56
Slope = (y2-y1) / (x2-x1)
= (-4-20) / (6-4)
= (-24) / (2)
= (-12)
The slope of the line is (-12)
Answer:
(12, 6 )
Step-by-step explanation:
To find M use the Section formula
= 
= 
= 12
= 
= 
= 6
M = (12, 6 )
6.9 is the mean. you have to add them all up and divide by however many there are
