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shtirl [24]
3 years ago
6

The total cost for g grams of pepperoni if each gram costs $5.65

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

We are given

g is weight of pepperoni in grams

C is the total cost

if each gram costs $5.65

So, 1 gram cost =$5.65

so, g gram cost is

=5.65\times g

we can term it as C

which means total cost

so, total cost is

=5.65\times g

or we can write as

C=5.65\times g................Answer


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A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the t
larisa86 [58]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

  • We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.

Thus,

The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.

  •  x2 + y2 = 69²               this is the circle

And,

The Transmitter at the origin

City to the north at (0,93)  & City to the east at (78,0)  

the Slope is M=(-93/78)

Intercept is B= y - mx ⇒  93 - (-93/78)(0) = 93

The equation of the line between the cities is y = (-93/78)x + 93

  • y = -93x/78 + 93           this is the line

Now, Solve the above two Equations

The intersection is gotten from the picture or solving:

x^2 + [(-93/78)*x + 93]^2 = 69^2

  • on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)

Now,

From the Pythagorean theorem the total distance of the trip is:  

d1 = √(93^2 + 78^2) ≈ 121.37miles  

And the distance when the signal is picked up is:

d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.

3 0
3 years ago
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long
katen-ka-za [31]

Answer:

a) ~10.58 km/h

b) 45 min

c) 15 km/h

Step-by-step explanation:

a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h

b) From 4:15 to 5 = 45min

c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h

NOTE!

The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).

5 0
3 years ago
If -3 1/4 is subtracted from 1 1/3. What will be the result?
Alenkinab [10]

1_1/3 = 4/3

-3_1/4 = -13/4

(4/3) - (-13/4)

(4/3) + (13/4)

We can see that (4/3) + (13/4) leads to a positive answer.

Answer: choice D

4 0
3 years ago
Select all of the choices that are equal to (-5) - (-12)<br><br> -7<br> 7<br> (-5)+12<br> (-5)+(-12)
Roman55 [17]

Answer:

the awnser is. (-5) + (-12)

7 0
2 years ago
Read 2 more answers
Which explanation is an accurate way to describe the solution to a system of equations by using a graph?
Volgvan
The correct answer for this question is this one: "The location (x, y) where the lines intersect is a solution to a system of equations." <span>This is the explanation that is an accurate way to describe the solution to a system of equations by using a graph. </span>Hope this helps answer your question and have a nice day ahead. 
8 0
3 years ago
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