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Stella [2.4K]
3 years ago
8

If 5/12 of the contents of a box weigh 20 kg, what is the weight of all the contents?

Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
If 5 shares of the contents weigh 20, then each share weighs 4 . If each share is 1/12 of the whole thing, then there are 12 shares in it, and the whole thing weighs 12 x 4 = 48 . 1/8 of it weighs 48/8 = 6 . 1/8 of it
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dem82 [27]
3/4|-4-2(36)|
3/4|-4-72|
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3 0
3 years ago
If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
Brut [27]

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

(10x - 11) = (8x - 20) + 43

Solve for x

10x - 11 = 8x - 20 + 43

10x - 11 = 8x + 23

Subtract 8x from both sides

10x - 11 - 8x = 8x + 23 - 8x

2x - 11 = 23

Add 11 to both sides

2x - 11 + 11 = 23 + 11

2x = 34

Divide both sides by 2

\frac{2x}{2} = \frac{34}{2}

x = 17

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

3 0
3 years ago
Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
Gre4nikov [31]

The average rate of change is defined as:

AVR = \frac{f(x2)-f(x1)}{x2-x1}

For AVR to be negative, it must comply with:

x2 - x1> 0

f (x2)

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

Answer:

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

3 0
4 years ago
Read 2 more answers
Write the equation of the line that passes through (5.-9) and (2.5).
Kipish [7]

Answer:

y = -14/3x + 43/3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-9) / 2 - 5

14 / -3

- 14/3

y = -14/3x + b

5 = -14/3(2) + b

5 = -28/3 + b

43/3 = b

y = -14/3x + 43/3

4 0
3 years ago
What is the relationship between a scalene triangle and the location of its orthocenter? Explain.
Sladkaya [172]

D:

The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.

5 0
3 years ago
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