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Art [367]
3 years ago
8

A motorist travels between two towns. It usually takes 6 hours when travelling at a certain speed. He finds that if he reduces h

is speed by 15 km/hr his journey will take 1 hour more. Find his usual speed.​
Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

His usual speed is 105 km/hr.

Step-by-step explanation:

Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:

s =  d/6

s - 15 = d / (6 + 1)

from the first equation:

d = 6s and from the second:

d = 7(s - 15)

Eliminating d we get:

6s = 7(s - 15)

7s -  105 = 6s

s = 105.

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Samuel has 2 1/4 cups of flour. She uses 1/3 of the flour to make pancakes. How many cups of flour did he use? Please try to exp
Kruka [31]

Answer:

Samuel uses 1 11/12 cups of flour.

Step-by-step explanation:

Okay, this is assuming he uses the rest of the flour she didn't use.

The first step would be to find the Greatest Common Factor(GCF) of the fractions

2 1/4 and 1/3 have different denominators, but they both can divide into 12.

1/4 * 3/3 = 3/12

1/3 * 4/4 = 4/12

Now we can also convert 2 3/12 into an improper fraction to make it easier

2* 12/12 = 24/12

24/12+ 3/12 = 27/12

Here's the part were we subtract the two numbers.

27/12- 4/12 = 23/12

The last step is to simplify the fraction

23/12 = 1 11/12 cups

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3 years ago
What is the i=prt for investing $3000 3 years and $450 in interest
lapo4ka [179]
If youre trying to find the interest rate that would be 0.05. hope it helped 
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4 years ago
A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
oee [108]

Answer:

6/20, 3/10, or 30% chance

Step-by-step explanation:

hope it helps

4 0
3 years ago
The price of a skirt is $25 more than the price of a t-shirt. The total price of 3 skirts and 8 t-shirts is $339. Find the price
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Well the price of the 3 skirts is $75 and the mystery price of the shirt was $33 and added that 8 time equals $339
3 0
3 years ago
Please show all work:<br><br>If f(x) = 2x² + x - 3, find x if f(x) = 25. <br><br> ​
Katyanochek1 [597]

f(x) = 2x {}^{2}  + x - 3 \\ f(x) = 25 \\ 2x {}^{2}  + x  - 3 = 25 \\ 2x {}^{2}  + x - 28 = 0 \\  \\ x_{1}  =  \frac{ - 1 +  \sqrt[]{1 {}^{2} - 4(2)( - 28) } }{2(2)}  \\ x_{1}  =  \frac{ - 1 + 15 }{4}  =  \frac{14}{4}  = 3.5

x_{2}  = \frac{ - 1 -  \sqrt{225} }{4} =  \frac{ - 1 - 15}{4}   =  \frac{ - 16}{4}  =  - 4 \\

5 0
2 years ago
Read 2 more answers
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