Answer:
price of each bags of popcorn = $9.75
price of each drinks = $5
Step-by-step explanation:
Let
price of each bags of popcorn = a
price of each drinks = b
Caleb total cost
7a + 2b = 78.25.......(i)
Jeremiah total cost
a + 10b = 59.75.......(ii)
7a + 2b = 78.25
a + 10b = 59.75
a = 59.75 - 10b
insert the value of a in equation (i)
7a + 2b = 78.25
7( 59.75 - 10b) + 2b = 78.25
418.25 - 70b + 2b = 78.25
418.25 - 68b = 78.25
418.25 - 78.25 = 68b
340 = 68b
b = 340/68
b = 5
Insert the value of b in equation (ii)
a + 10b = 59.75.......(ii)
a + 10 × 5 = 59.75
a = 59.75 - 50
a = 9.75
price of each bags of popcorn = $9.75
price of each drinks = $5
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
6x-21 —->
x=21+6
=27
Answer:
(-3,3) and (-3,-5)
Step-by-step explanation:
Step 1: <u>y2 - y1</u>
x2 - x1
Step 2: Plug In. --> <u>-5 - 3</u>
-3 - (-3)
Step 3: Solve. --><em> </em><em><u>-8</u></em>
<em> 0</em>
Answr: <em><u>Undefined. Vertical Line on Graph.</u></em>
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.
3a = o
Then, using Pythagorean's theorem:
25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm
Then, 3(7.9) = o = 23.7 cm
So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
Answer:
<h3>
vertex form: y = (x + 3)² + 1</h3><h3>
the vertex is minimum</h3><h3>
coordinates of the vertex: (-3, 1)</h3>
Step-by-step explanation:
a = 1 > 0 ← it means the parabla opens up, so, <u>the vertex is </u><u>minimum</u>
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 3)² + 1 <u>the vertex is</u>: (-3, 1)
