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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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Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056
Vilka [71]
If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
alex41 [277]

the correct answer should be (b) 6 is extraneous.

If you look at the second row of the solution you see (x-6) as a factor in one of the denominators. That's a problem: if 6 were a solution this denominator would become 0. But denominators being 0 is bad (undefined), so while 6 comes out of the algebraic manipulation as a solution, it is invalid, or extraneous.

-3 is a fine solution.

6 0
2 years ago
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2 square root of negative 18
Karo-lina-s [1.5K]

Answer:

8.48528137 simplified is 8.49

Step-by-step explanation:

6 0
3 years ago
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. Twice a number decreased by eight. if the number N, the expression is
tester [92]

Answer:

2n-8

Step-by-step explanation:

twice n is 2n. decreased by 8 is the -8

5 0
3 years ago
Find an equation of a line passing through the point (8,9) and parallel to the line joining the points (2,7) and (1,5).
TiliK225 [7]

Answer:

2x - y - 7 = 0

Step-by-step explanation:

Since the slope of parallel line are same.

So, we can easily use formula,

y - y₁ = m ( x ₋ x₁)

where, (x₁, y₁) = (8, 9)

and m is a slope of line passing through (x₁, y₁).

and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.

and, Slope = m = \dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}

here, (xₐ, yₐ) = (2, 7)

and, (y_{a},y_{b}) = (1, 5 )

⇒ m = \dfrac{5-7}{1-2}

⇒ m = 2

Putting all values above formula. We get,

y - 9 = 2 ( x ₋ 8)

⇒ y - 9 = 2x - 16

⇒ 2x - y - 7 = 0

which is required equation.

3 0
2 years ago
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