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Artyom0805 [142]
3 years ago
10

A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

1/4h

Step-by-step explanation:

If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.

Hence, the time for the bus trip

= (1/2 + x)h

since the bus trip is 3/4h, it means that

1/2 + x = 3/4

collecting like terms,

x = 3/4 - 1/2

= 3/4 - 2/4

= 1/4

Hence the car trip is 1/4h.

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Two rigid transformations are used to map triangle JKL to triangle MNQ. The first is a translation of vertex L to vertex Q. What
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The sector of a circle shown to the left has its center at point OO. The arc XYZXYZ has length 10.810.8, and the central angle X
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Step-by-step explanation:

Since we have given that

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First we convert radian into degrees,

1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times  57.3\textdegree\\\\1.8\ radians=103.14\textdegree

As we know the formula for "Length of an arc":

\text{Length of an arc}=\frac{\theta}{360\textdegree}\times 2\pi r\\\\10.8=\frac{103.14}{360\textdegree}\times 2\times \frac{22}{7}\times r\\\\10.8=1.8r\\\\r=\frac{10.8}{1.8}\\\\r=6

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3 0
2 years ago
A store holiday sale has an item marked down by $10 with an additional discount of 25% off the
ValentinkaMS [17]

Answer:

C : $58.36

Step-by-step explanation:

Given:

A store holiday sale has an item marked down by $10.

Discount on new price = 25%

Final price was $36.27.

Question asked:

what was the original ?

Solution:

Let original price = x

New price = x - 10

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x - 10 -25\% of(x - 10 ) = 36.27\\

x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\

Adding both side by 7.5

0.75x = 43.77\\

Dividing both side by 0.75

x = 58.36

Therefore, the original price was $58.36

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