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umka21 [38]
3 years ago
15

A red horse and a black horse raced on a 1-mile-long circular racetrack. The red horse completed the race in 120 seconds, and th

e black horse completed the race in 150 seconds. Which choice correctly describes the speed of the horses?
Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.

Step-by-step explanation:

Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.

Time taken by red horse = 120 seconds

Time taken by black horse = 150 seconds

Speed = \dfrac{Distance}{Time}

So, speed of red horse =\dfrac{1}{120}\text{ mile per second}

Since 1 mile = 5280 feet

Speed of red horse = \dfrac{5280}{120} =44\text{ feet per second}

Similarly,

Speed of black horse = \dfrac{5280}{150} =35.2\text{ feet per second}

Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.

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3 0
3 years ago
jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
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8 0
3 years ago
Chester Boles reviewed his credit card's monthly statement. It shows a $2,376.10 previous balance and this month's new purchases
ss7ja [257]

Initial balance, I = $2376.10 .

Total amount of purchase made, A = $( 875.22+65.75+45.22+21.23 ) = $1007.42 .

Total amount credit, c = $875.22 .

Fine, f = $45.30 .

Another purchase, a=\dfrac{2376.10\times 2.5}{100}=\$ 59.4025 .

So, balance left is :

B = I - A - f - a + c

B = 2376.10 - 1007.42 - 45.30 - 59.4025 + 875.22

B = $2139.1975

Hence, this is the required solution.

4 0
2 years ago
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