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blsea [12.9K]
3 years ago
5

A family spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for enterta

inment. What fractional part of their income is spent on these items altogether? A. 6⁄41 B. 1⁄7 C. 11⁄12 D. 41⁄60
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0
In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.

1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60

Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.
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No but it is true that the two equations are parallel.
8 0
3 years ago
Find the 8th term of the geometric sequence 5, -15, 45
FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

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here a₁ = 5 and r = \frac{a_{2} }{a_{1} } = \frac{-15}{5} = - 3 , then

a₈ = 5 × (-3)^{7} = 5 × - 2187 = - 10935

6 0
2 years ago
What is the equation for each line?​
galina1969 [7]
Red: y= 2x
Black: y= 2x
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8 0
3 years ago
I will literally give you my life if you. help me with these integer questions-
Sphinxa [80]

Answer:

10. 23

11. -17

12. 0

13. -4

14. -6

15. 4

Explanation:

10. 8+15= 23

11. -8-9= -17

12. 8-8= 0

13. -8+4= -4 (same as 4-8)

14. -10+4= -6 (same as 4-10)

15. 12-8= 4

8 0
3 years ago
Read 2 more answers
Choose the correct simplification of a5b6/a4b4
NemiM [27]
The Answer is a b¹⁰

Simplify the following:
(a^5 b^6 b^4)/a^4

Combine powers. (a^5 b^6 b^4)/a^4 = a^(5 - 4) b^(6 + 4):
a^(5 - 4) b^(6 + 4)

5 - 4 = 1:
a b^(6 + 4)

6 + 4 = 10:
Answer:  a b^10
6 0
3 years ago
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