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3 years ago

Write the prime factorization of the numerator and denominator of 24/60. Then reduce.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Answer:

24/60 = 2/5

Step-by-step explanation:

the greatest common factor is 12

divide numerator and denominator by 12 to get 2/5

24 = 2³ · 3

60 = 2² · 3 · 5

which prime fractors are common to each?

two 2's and one 3; multiply these together to get 2 x 2 x 3 = 12

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Give two or more solutions to x< 29. Show why each value is a solution.

xeze [42]

Answer:

x = 10

x = -10

Step-by-step explanation:

x = 10

We can start by comparing the tens digit, as each number has two digits.

29 vs 10

2 vs 1

2 is greater than 1; therefore, as the biggest digit is larger and each number has the same amount of digits, 29 > 10 and x= 10 < 29

x = -10

29 is positive, and -10 is negative. Any negative number is smaller than any positive number, so x = -10 < 29

7 0

2 years ago

Rene is going to the lake to visit some friends if the lake is 60 miles away, and rene is driving a 40 miles per hour the entire

Ostrovityanka [42]

40/60=60/x...forty miles in sixty minutes is equal to 60 miles in 40 minutes.....40x=3600....x=90..90 minutes

4 0

3 years ago

Solve the equation a/a^2-9 +3/a-3=1/a+3

MAXImum [283]

Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4

7 0

3 years ago

Carrie oakey has only nickles to spend at the fair. She buys 3 tickets for 50 cents each and has $.40 left over. How many coins

Nat2105 [25]

Answer:

she had 18 nickles

Step-by-step explanation: your so welcome

7 0

3 years ago

The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 28, \sigma = 6$