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Gnoma [55]
2 years ago
5

Marya plans to participate in a 20 km walk-a-thon. To prepare, she walked 4 km on Monday. She plans to increase her walk by 2 km

each week until she reaches 20 km.
Marya’s calculations:



The equation representing Marya’s calculations is . How many weeks will it take Marya to reach her goal of a 20 kilometer walk?
891012

Mathematics
2 answers:
SVEN [57.7K]2 years ago
5 0

Answer:

the answer is 8

Step-by-step explanation:

dybincka [34]2 years ago
3 0
It would take 8 weeks
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Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed
lora16 [44]
<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

         Distance = Speed x Time

         200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

         Distance = Speed x Time

         200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}

The entire trip took 3.5 hours.

That is

            t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}

Plane's speed without wind i s 117.68 mph

7 0
2 years ago
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

7 0
2 years ago
Read 2 more answers
Your utility company charges 11 cents per​ kilowatt-hour of electricity. Complete parts​ (a) and​ (b) below. a. What is the dail
Colt1911 [192]

Answer:

a. 9.9 cents

b. 26.5 dollars

Step-by-step explanation:

The first thing they mention to us is the cost of energy 11 cents / kwh

a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh

to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,

the formula to apply would be like this:

Daily cost = flashlight cost * time * energy cost

we all know them so we replace:

Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents

b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:

20 watt * 1 kw / 1000 watt = 0.02 kw

Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents

Now by calculating the difference we multiply by 365 which are the days of a year.

Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.

5 0
2 years ago
3) George walks away from his house. He walks 25 km west and then
Romashka-Z-Leto [24]

Answer:

29.15 km

Step-by-step explanation:

Given;

George walks; 25km west and then 15 km south

Resolving the directions to x and y axis;

North and South represent positive and negative y axis.

East and West represent positive and negative x axis respectively.

25km west

Rx = -25 km

15 km south

Ry = -15 km

The resultant displacement from the house is;

R = √(Rx^2 + Ry^2)

Substituting the values;

R = √((-15)^2 + (-25)^2)

R = √(225+625)

R = √(850)

R = 29.15 km

Therefore, he is 29.15 km from house

8 0
2 years ago
Terrence is folding paper cranes at a constant rate. Write an equation to describe the relationship between c, the number of cra
Vanyuwa [196]

Answer:

It is c = kt.

Step-by-step explanation:

This is direct variation . As the time increases the number of cranes increases.

The equation is c = kt  where k is the constant  of variation.  In this case it will be a positive value because c is increasing with time.

If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;

20 = k * 10

g = 20/10

k = 2.

So they make 2 cranes per minute.

7 0
2 years ago
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