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Kitty [74]
4 years ago
7

Ella can complete the cheep cheep beatch course in 1 minute and 25 seconds. If the course is 3 laps long. How long would it take

her to race 2 laps? ( proportion)
Mathematics
1 answer:
Minchanka [31]4 years ago
7 0

Answer: it will take her 56.67 seconds or 0.945 minutes to race 2 laps

Step-by-step explanation:

It takes Ella 1 minute and 25 seconds to complete the cheep beach course.

We can express this time in seconds or minutes. Expressing it in seconds,

1 minute = 60 seconds

Therefore,

1 minute and 25 seconds = 60 +25 = 85 seconds

If the course is 3 laps long, that means she completed 3 laps in 85 seconds. The time it will take her to race 2 laps would be

(2 × 85)/3

= 56.67 seconds

Converting to minutes, it will be

56.7/60 = 0.945 minutes

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Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui
andre [41]

Answer:

August made the recipe using the <em>incorrect</em> ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the <em>incorrect</em> ratio

6 0
3 years ago
Read 2 more answers
Is f(x) a function?
Mila [183]
Yes as that is the function notation in play. a function of x.
5 0
3 years ago
Choose the correct product of (8x ? 4)(8x + 4). 64x2 ? 16 64x2 + 16 64x2 ? 64x + 16 64x2 + 64x + 16
kotegsom [21]

Answer:

64x2 ? 64x +16

Step-by-step explanation:

3 0
3 years ago
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The school that Jennifer goes to is selling tickets to a play. On the first day of ticket sales the
sweet [91]

Answer:

Adult ticket = $11

Children ticket = $9

Step-by-step explanation:

Let the price of adult tickets be x and let the price of children's ticket be y

For the first day, the equation of sales can be put as

3x + 12y = 141..........1

For the second day, the equation of sales can be put as:

13x + 6y = 197............2

We then take these two equations together and solve simultaneously.

3x + 12y = 141.......1

13x + 6y = 197........2

Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.

39x + 156y = 1833.........3

39x + 18y = 591..............4

Then subtract equation 4 from equation 3

138y =1242

y = 9

Substitute "y=9" into equation 1 to find x

3x + 12(9) =141

3x + 108 = 141

3x = 141 - 108

3x = 33

x = 11

Hence,

Price of adult ticket = $11

Price of children ticket = $9

6 0
4 years ago
H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ​ ) n−1 h, left parenthesis, n, right parenthesis, equals
Kruka [31]

Given:

h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}

To find:

The recursive formula.

Solution:

We have,

h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}

It is in the form of explicate formula of a GP, .i.e., a_n=ar^{n-1}.

Here, a=-91 and r=-\dfrac{1}{7}.

The recursive formula of a GP is

a_n=a_{n-1}\times r

Using this the recursive formula for given problem is

h(n)=h(n-1)\times (-\dfrac{1}{7})

Therefore, the required recursive formula is h(n)=h(n-1)\times (-\dfrac{1}{7}).

8 0
3 years ago
Read 2 more answers
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