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Finger [1]
3 years ago
8

Zachary travels on a journey of 50 miles. He spends half

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
7 0

Answer: 8 hours.

Step-by-step explanation:

We have the relation:

Time  = distance/velocity

Distance = 50 miles

Velocity in horse = 9mph

Velocity walking = 3 1/2 mph = 3.5 mph

Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:

X + Y = 50 miles:

T/2 = X/9mph

T/2 = Y/3.5mph

Then we have:

X/9mph = Y/3.5mph

X = Y*(9/3.5)

And by the first relation:

X = 50 mi - Y

then we have:

50mi - Y = Y*(9/3.5)

50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57

Y = 50mi/3.57 = 14mi

Then we have:

T/2 = 14mi/3.5mph

T = 2*(14/3.5) hours = 8 hours

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2 years ago
Please help me find the area of each shaded segment and round the answer to the nearest tenth :)
Keith_Richards [23]
Hi there!

In order to solve, we need to use the formula for the area of a circle, and the angle given to find the area of the sector. Then, subtract the area of the triangle to find the area of the segment. We would use the equation : A = x/360 (pi * r^2) - 1/2(b * h). We need to plug in 90 for the angle measurement, 8 for the radius, and 8 for both the base and height. 

WORK:
A = 90/360 (pi * 64) - 1/2(64)
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3 0
3 years ago
What is the answer to 2(1+3x)+7x-1
kogti [31]
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8 0
2 years ago
Read 2 more answers
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


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2 years ago
Can someone help me please.
Sholpan [36]

Answer:hello

Step-by-step explanation:

7 0
3 years ago
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