Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.
Customer 1: 4h + 5p = 15.50 ⇒ 3(4h + 5p = 15.50) ⇒ 12h + 15p = 46.50
Customer 2: 3h + 2p = 9.00 ⇒ -4(3h + 2p = 9.00) ⇒ <u> -12h - 8p = -36.00</u>
7p = 10.50
p = 1.50
Customer 2: 3h + 2p = 9.00 → 3h + 2(1.50) = 9.00 → 3h + 3.00 = 9.00 → 3h = 6.00 → h = 2.00
Answer: hot dog = $1.50, potato chips = $2.00
Answer:
1
Step-by-step explanation:
When they say the value of h(x) they're asking what y value is when x=3. Hope this helps!
the answer is 1,102.5, to find the area of a triangle you need to multiply LxWxB/2
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
An exponential function can either represent growth or decay
- The initial value is 200 and the growth factor is 1.190
- The number of fish in the pond after 5 years is 436
<u>(a) The initial number of fish and the growth factor</u>
The function is given as:
An exponential function is represented as:
Where
- a represents the initial value
- b represents the growth factor
So, by comparison: the initial value is 200
The growth factor is then calculated as:
Hence, the initial value is 200 and the growth factor is 1.190
<u>(b) The number of fish after 5 years</u>
This means that t = 5.
So, we have:
Hence, the number of fish in the pond after 5 years is 436
Read more about exponential functions at:
brainly.com/question/11464095
