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Artist 52 [7]
2 years ago
9

Is 4.125... rational or irrational

Mathematics
1 answer:
Andru [333]2 years ago
7 0
4.125\ is\ rational\ number\ because\ we\ can\ convert\ this\ number\\to\ the\ fraction\ \frac{p}{q}\ where\ p,\ q\in\mathbb{Z}:\\\\4.125=\frac{4.125}{1}=\frac{4.125\cdot1,000}{1\cdot1,000}=\frac{4,125}{1,000}
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How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
Zielflug [23.3K]

Answer:

-\frac{8}{3}

Step-by-step explanation:

Given

\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}

Required

Simpify

The very first step is to take LCM of the given expression

\frac{-10 -4 - 2}{6}

Perform arithmetic operations o the numerator

-\frac{16}{6}

Divide the numerator and denominator by 2

-\frac{16/2}{6/2}

-\frac{8}{3}

The expression can't be further simplified;

Hence, \frac{5}{-3} - \frac{4}{2} + \frac{1}{-3} = -\frac{8}{3}

8 0
1 year ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: E(x) = 7x - 25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

E(x) = 7x - 25

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

y= - 25

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

4 0
2 years ago
Read 2 more answers
E varies directly with the square root of C. If E=40 when C=25, find: C when E = 10.4
sukhopar [10]

Answer: C = 1.69

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = ?

E = 10.4

k = 8

E = k × √C

10.4 = 8 × √C

10.4 / 8 = √C

( 10.4 / 8 ) ^ 2 = C

C = 1.69

6 0
2 years ago
Read 2 more answers
Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
Brilliant_brown [7]
I would use multiplication and addition.
 3 x 64 = 192
3 x 48 =  144
192 + 144 = 336 total ounces of juice.

7 0
1 year ago
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Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He n
storchak [24]

Answer:

120

Step-by-step explanation:

7 0
1 year ago
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