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dusya [7]
3 years ago
11

Hellen has 10 sweets,shelly has 30 sweets.Faith has 4 fewer sweets than the average number of sweets that hellen,shelly and fait

h have.How many sweets do they have altogether
Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

The sum of all the sweets is 54 sweets

Step-by-step explanation:

Here, we want to calculate the number of sweets the three have altogether.

Let the number of sweet Faith has be x

Mathematically;

Faith has 4 sweets fewer than the average number of sweets

The average is the sum of all the sweets divided by 3

The average will be (10 + 30 + x)/3

Thus;

(10 + 30 + x)/3 - 4 = x

(40 + x)/3 = x + 4

40 + x = 3(x + 4)

40 + x = 3x + 12

40-12 = 3x -x

28 = 2x

x = 28/2

x = 14 sweets

So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
Mrrafil [7]

Answer:

a_{n}=45-3n

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

GIven: a_{n+1} =a_{n}-3

a_{n+1}=45-3n-3=45-3(n+1)

Proved by mathematical induction

a_{n}=45-3n

5 0
3 years ago
Andy is scuba diving.He starts at sea level and then descends 10 feet in 2 1/2 minutes.
Yuri [45]
Descent  = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft

Answer:
(a) 4 feet/minute
(b) 24 feet


4 0
3 years ago
Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach
erik [133]
All socks together: 13
Black socks: 3

Probability to pick out black socks: 3/13

After one pick out (You picked out a pair of black socks):

Probability to pick out black socks: 2/12

Multiply them:

2/12 * 3/13 = 1/26 ≈ 0,038

8 0
4 years ago
What is the product of 3/5 x 4/9 written in simplest form?
frosja888 [35]
Mmm... I think it is 5/8... I think.
3 0
3 years ago
Read 2 more answers
Show work 29 points pls help
Tanzania [10]

Answer:

a

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

\frac{y}{x} = k

To find k use any ordered pair from the table

Using (2, \frac{5}{2} ) , then

k = \frac{2}{\frac{5}{2} } = 2 × \frac{2}{5} = \frac{4}{5}

7 0
3 years ago
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