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ICE Princess25 [194]
2 years ago
13

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/5m

Mathematics
1 answer:
anastassius [24]2 years ago
5 0
-3/4m - 1/2 = 2 + 1/5m...to eliminate the fractions, u must multiply the equation by the common denominator....which in this case is 20.
Resulting in : -15m - 10 = 40 + 4m
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A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet
Lorico [155]

Answer:

Probability to pick yellow or orange sweet = 3 / 8

Step-by-step explanation:

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4 / 24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

7 0
2 years ago
How many odd numbers with 4 different digits, can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8? (No repetition is allowed)
olga55 [171]

Answer:

840 ( D )

Step-by-step explanation:

GIVEN DIGITS : 1,2,3,4,5,6,7,8  

Number of odd numbers = 4

Number of even numbers = 4

therefore the number of odd numbers with 4 different digits can be formed by the same way the number of even numbers ( without repetition )

Hence the number of ways odd numbers with 4 different digits = Total number of ways of forming 4 digit numbers / 2

8*7*6*5 = 1680 / 2 =  840 ways

6 0
2 years ago
A case in riverhead, new york, nine different crime victims listened to voice recordings of five different men. all nine victims
Alexus [3.1K]

the complete question in the attached figure

1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

2) what is the probability that the first victim picks SOMEONE? ANYONE? 

P=(1/5)=0.20  ---------------- > 20%

3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)=0.04 --------------> 4%

4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%

5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1? 

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

6) Once you find all those probabilities, what rule would apply?

the probability is given by (1/5)^n

n=number of victims that pick the same person---------> in this problem = 9

P=(1/5)^9= 0.000000512

5 0
2 years ago
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus
never [62]

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

7 0
1 year ago
Read 2 more answers
The area of the triangle shown is 40.0 cm2.
kompoz [17]

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

4 0
1 year ago
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