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torisob [31]
3 years ago
15

A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppin

gs did he get?
(please show all your work with a let, so, equation(and solution) and therefore statement).
Mathematics
1 answer:
svp [43]3 years ago
5 0
X represents # of toppings

8.95+0.65x=10.90
0.65x=1.95
x=3

He got 3 additional toppings onto his large pizza.
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A bee flies at 15 ft./s directly into a flower bed from a time the beast stays at the flower bed for 12 minutes and then flies d
Zinaida [17]

A) The equation that we need to solve is:

(12ft/s)*(- d/(15ft/s) + 300s) = d

B) The distance to the hive is d = 2000ft.

<h3 /><h3>What equation can you use to find the distance of the flower bed from the hive?</h3>

We know that the bee's speed is 15 ft/s from the hive to the flower bed.

Then stays 12 minutes at the flower bed.

Then returns to the hive with a speed of 12ft/s.

The total time of the journey is 17 minutes, discounting the 12 minutes that the bee was in the flower bed, the travel only took 5 minutes.

Now, if the distance between the hive and the flower bed is d, t₁ as the time that the bee needs to go from the hive to the flower bed, and t₂ as the time in which the bee goes from the flower bed to the hive, we can write the system of equations:

t₂ + t₁ = 5min

(15ft/s)*t₁ = d

(12ft/s)*t₂ = d

With that system of equations, we can find the value of d, which is what we want to get.

Isolating t₂ in the first equation we get:

t₂ = - t₁ + 5min

Now we can replace that in the third equation:

(15ft/s)*t₁ = d

(12ft/s)*(- t₁ + 5min) = d

In the first equation we can isolate t₁:

t₁ = d/(15ft/s)

And replace that in the remaining equation:

(12ft/s)*(- d/(15ft/s) + 5min) = d

5 min = 5*60s = 300s

(12ft/s)*(- d/(15ft/s) + 300s) = d

This is the equation we need to solve to find the value of d.

-(12/15)*d + 3600ft = d

3600ft = d + (12/15)*d = (1 + 12/15)*d = (27/15)*d

(15/27)*3600ft = d = 2000 ft

We conclude that the distance to the hive is 2000ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Which object has a greater surface area: a cube with edges
Mashcka [7]

Answer:

cylinder

Step-by-step explanation:

SA(cube) = 6 cm³

SA(cyl) = 36.11 cm³

8 0
3 years ago
Translate the phrase into an algebraic expression. <br><br> the sum of b and 4
weqwewe [10]

Answer:

b+4

hope this helps!

4 0
2 years ago
Por favor ayudenme a resolverlo
alukav5142 [94]
I dont know that language
6 0
3 years ago
CAN SOMEONE HELP??! VERY URGENT
tia_tia [17]
85 = 10x+15
70 = 10x
x = 7

180-85 = 95 = z
3 0
3 years ago
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