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Licemer1 [7]
3 years ago
12

24 1/14 +8 3/7 =(x÷1 1/9 )·5 5/12

Mathematics
2 answers:
Talja [164]3 years ago
5 0

Answer:

X = 6.67

Step-by-step explanation:

24 1/14 +8 3/7 =(x÷1 1/9 )·5 5/12

337/14 + 59/7 = x * 9/10 * 65/12

445/14 = 585x/120

8190x = 54600

X = 54600/8190

X = 6.6666 ~ 6.67

View attachment for further clarification

AfilCa [17]3 years ago
4 0
The correct answer is x= 6 and two-thirds
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Caitlyn’s family has a circular swimming pool. The circumference of the pool is 25.12m What is its area?
Natasha2012 [34]

Answer:

A = 50.26 sq meters

Step-by-step explanation:

we have to find the diameter first by using the circumference:

C = πd

25.12 = πd

25.12/π = d

8 = d

this means the radius is 4

A = πr²

A = π4² or 16π

A = 50.26 sq meters

4 0
3 years ago
Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
2 years ago
How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5
bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point m=5

Supply Point n=6

Generally the equation for fixed-requirement constraints is mathematically given by

 X=m+n

 X=5+6

 X=11

Therefore the correct option is

Option B

7 0
2 years ago
X + 7y = 21
Ket [755]

Answer:

x=21−7y?

Step-by-step explanation:

I don't really know what else to do

7 0
3 years ago
Read 2 more answers
A pair of shoes usually sells for $61. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, incl
Vinil7 [7]

Answer:

$45.26

Step-by-step explanation:

30% × 61 = 18.3

= $18.30 off, 61 - 18.3 = 42.7

6% × 42.7 = 2.562

= 42.7 + 2.562

=  45.26

8 0
3 years ago
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