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noname [10]
3 years ago
13

Yesterday, Tammy went on a bike ride. Her average speed was 8 miles per hour. Today, she went on another ride, this time averagi

ng 12 miles per hour. In the two days, she biked for a combined total time of 10 hours. Let x be the number of hours she biked yesterday. Write an expression for the combined total number of miles she biked in the two days.
Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

y=120-4x

Step-by-step explanation:

Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.

Day 1 :

Avg Speed = 8 mph

Let the time for travelling = x hrs

Hence Distace Travelled D1= Speed x Time

D1=8x

Day 2 :

Avg Speed = 12 mph

Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is

= (10-x) hrs

Hence Distance travelled in Day 2 D2 = speed x time

D2 = 12(10-x)

D2=120-12x

Total Distance travelled = D1 + D2

= 8x+120-12x

=120-4x

If the total distance travelled is denoted by y

The expression will be

y=120-4x

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Answer:

3(x+3)(x -1)

Step-by-step explanation:

3x^2 + 6x -9

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

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

Now, factor inside the parentheses by grouping:

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

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

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Therefore, the final factored polynomial is 3(x+3)(x -1).

4 0
2 years ago
El perímetro de un rectángulo es 58 y su base excede en 10 a su ancho, ¿Cuánto mide la base? AYUDAAAA
kobusy [5.1K]

Answer:

The base is 19.5.

Step-by-step explanation:

The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"

Perimeter = 58

Base, l = 10+b

The perimeter of a rectangle is :

P = 2(l+b)

58 = 2(10+b+b)

29 = (10+2b)

29-10 = 2b

19 = 2b

b = 9.5

Base, l = 10 + 9.5

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Hence, the base is 19.5.

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Scientists researching amphibians put tags on 30 frogs in a wetland area. Later, the scientists captured 520 frogs, of which 12
aleksklad [387]

Answer:

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elena-14-01-66 [18.8K]

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Step-by-step explanation:

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You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a product
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The permutation shows that when one has been cast yet, the different ways that are there to cast Fantine from the 28 women is 28.

<h3>How to calculate the value?</h3>

The different ways that are there to cast Fantine from the 28 women will be:

= 28!/(28 - 1)!

= 28!/27!

= 28

When Fantine has already been cast, the number of ways that are there to cast adult Cosette from the remaining women will be:

= 27!(27 - 1)!

= 27!/26!

= 26

When Fantine and adult Cosette have already been cast, the different ways that are there to cast Éponine from the remaining women is:

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Learn more about permutations on:

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