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sesenic [268]
3 years ago
7

It took Alice 6 5/6 hours to drive to her grandparents' house for Thanksgiving. On the way home, she ran into traffic and it too

k her 8 2/9 hours. How much longer did the return trip take?
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Time taken to drive to her grandparents house = 6 5/6  hours

We convert this mixed into improper fraction, we get = 41/6 hours

Time taken to drive to her grandparents house = 41/6 hours

Time taken to drive back = 8 2/9 hours

We convert this mixed into improper fraction, we get = 74/9 hours

Time taken to drive back = 74/9 hours

Difference between the two = 74/9 - 41/6  = (148-123)/18 = 25/18 hours = 1 7/18 hours

Therefore it took 1 7/18 hours longer to drive back.

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Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3". To
Anna11 [10]

Answer:

Tom is incorrect

Step-by-step explanation:

The odds of getting any number on a 6-sided die are 1:6

Every time he rolls, there is a 1:6 chance he gets any number.  Therefore, it is totally plausible to get the same number again.  As the number of rolls tends toward infinity, the ratio of each number occurring to number of rolls equals 1:6.  

3 0
3 years ago
Read 2 more answers
-10-9-8-7 -6 -5 -4 -3
jek_recluse [69]

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

8 0
2 years ago
Determine the next step for solving the quadratic equation by completing the square.
Lady_Fox [76]

Answer:

-7/2 = -2(x-1/2)^2

Step-by-step explanation:

0 = –2x^2 + 2x + 3

Subtract 3 from each side

-3 = –2x^2 + 2x

Factor out the -2

-3 =- 2(x^2 -x)

Take the coefficient of x and divide by 2 and square it

-1 /2 = -1/2 ^2 = 1/4

Add it to each side  Remember the -2 on the outside so we need to multiply it by -2  

-2 *1/4 =  -1/2

-3 -1/2= -2(x^2 -x +1/4)

-7/2 = -2(x^2 -x +1/4)

-7/2 = -2(x-1/2)^2

6 0
3 years ago
Read 2 more answers
Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.
Paraphin [41]

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

88

6 0
3 years ago
Read 2 more answers
A builder makes drainpipes that drop 1 cm over a
LUCKY_DIMON [66]

Answer:

700.4 cm

Step-by-step explanation:

This involves two similar triangles.

Both triangles are right triangles.

One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.

(1 cm)^2 + (30 cm)^2 = c^2

c^2 = 901 cm^2

c = sqrt(901) cm

The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.

(30 cm)/(700 cm) = [sqrt(901) cm]/x

3/70 = sqrt(901) cm/x

3x = 70 * sqrt(901) cm

x = 70 * sqrt(901) cm/3

x = 700.4 cm

Answer: 700.4 cm

8 0
3 years ago
Read 2 more answers
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