Let's begin by assigning a letter to represent our unknown: x = # of toppings to be added to each pizza Now let's come up with expressions for the cost of each pizza with its toppings: Palanxio's Pizza: 6.80 + 0.90x Guido's Pizza: 7.30 + 0.65x Now let's equate the costs of both pizzas and solve for our unknown (x): 6.80 + 0.90x = 7.30 + 0.65x 0.90x - 0.65x = 7.30 - 6.80 0.25x = 0.50 x = 0.50/0.25 x = 2 toppings to be added to each pizza Finally, we can verify our answer by plugging it back into our equation and see if both costs are the same: 6.80 + 0.90x = 7.30 + 0.65x [equation] 6.80 + 0.90(2) = 7.30 + 0.65(2) [answer plug-in] 6.80 + 1.80 = 7.30 + 1.30 $8.60 = $8.60 [both costs are the same] Since both costs are the same, we are confident that our answer is correct.
Answer:
-2f - 25
Step-by-step explanation:
Original expression: -2.3f + 0.3f - 16 - 9
Combine like terms : -2.3f + 0.3 f = -2f
-16 -9 = -25
So the final answer or expression is: -2f -25
Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.
Answer:
I believe it is D
Step-by-step explanation:
The shortest distance from A to B in the diagram is 17 m.
<h3>How to find the shortest distance?</h3>
The shortest distance from D to B can be found as follows:
using Pythagoras theorem,
c² = a² + b²
where
- c is the hypotenuse
- a and b are the other legs
Therefore,
DB² = 15² + 8²
DB² = 225 + 64
DB² = 289
DB = √289
DB = 17 m
learn more on distance here: brainly.com/question/20516334
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