Answer:
14
Step-by-step explanation: 2(4x+6)=
\,\,34-3x
34−3x
Since HJ is a midsegment, twice HJ is equal to EG.
8x+12=
8x+12=
\,\,34-3x
34−3x
Distribute.
8x+12=
8x+12=
\,\,-3x+34
−3x+34
Communicative property to change the order
\color{red}{+3x}\phantom{+12}\phantom{=}
+3x+12=
\,\,\color{red}{+3x}\phantom{+34}
+3x+34
+3x to both sides.
11x+12=
11x+12=
\,\,34
34
\phantom{11x}\color{red}{-12}\phantom{=}
11x−12=
\,\,\color{red}{-12}
−12
-12 to both sides.
11x=
11x=
\,\,22
22
\frac{11x}{11}=
11
11x
=
\,\,\frac{22}{11}
11
22
Divide both sides by 11
x=
x=
\,\,2
2
Value of x
HJ=
HJ=
\,\,4x+6
4x+6
Value of HJ
HJ=
HJ=
\,\,4(2)+6
4(2)+6
Plug in x.
HJ=
HJ=
\,\,8+6
8+6
Multiply.
HJ=
HJ=
\,\,14
14
-3x + 2y = 14
You this way to solve it
Answer:
The inequality to represent the situation is 
and the team must sell at least 
"Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for 
each.
If the football team needs to raise at least 
for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold 
"Jaguar Cards" for each.
Now, the football team needs to raise at least for equipment.
So, the inequality to represent the situation is .
Now, on solving we get,
Hence, the inequality to represent the situation is and the team must sell at least "Jaguar Cards".
Answer:
6/5 units³
Step-by-step explanation:
The volume of the prism is given by the formula
V = Bh
where B is the area of the "base" and h is the height perpendicular to that base. Filling in the given numbers, you have ...
V = (9/5)·(2/3) = 18/15 = 6/5 . . . . units³
Royal Lawncare Company produces and sells two packaged products. Weedban and Greengrow. Revenue and cost information relating to the products follow: Product Weedban Greengrow Selling price per unit $ 11.00 $ 36.00 Variable expenses per unit $ 3.00 $ 14.00 Traceable fixed expenses per year $ 136.000 $ 31.000 Common fixed expenses in the company total $96.000 annually. Last year the company produced and sold 37.000 units of Weedban and 15.500 units of Greengrow. Required: Prepare a contribution format income statement segmented by product lines. Product Line Total Company Weedban Greengrow Sales Variable expenses Contribution margin Traceable fixed expenses Product line segment margin Common fixed expenses not traceable to products Net operating income
