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frosja888 [35]
3 years ago
7

There are 200 paperweights in a box. The mass of each paperweight is 0.085 kilogram. The mass of the empty box is 560 grams. Wha

t is the total mass of the box and 200 paperweights?
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0
17560grams.

each paperweight is 85 grams. (a kilogram is 1000 grams)

85*200= 17,000
17,000+560=17,560
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Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1
maxonik [38]
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
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3 years ago
Write a number sentence that tells what the model represents
atroni [7]
Well it depends on what the model is but if it's an IRA or whatever so if you make your own model that's easy
8 0
3 years ago
The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh
Len [333]

Answer:

$11.65

Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

.20 * 58.25

So your answer is, $11.65.

To find the total of the bill including the tip it would just be

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4 0
2 years ago
BD is the angle bisector of
AlexFokin [52]

Note: Let us consider, we need to find the m\angle ABC and m\angle DBC.

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The m\angle ABC and m\angle DBC.

Solution:

BD is the angle bisector of ABC. So,

m\angle ABD=m\angle DBC

3x=x+20

3x-x=20

2x=20

Divide both sides by 2.

x=\dfrac{20}{2}

x=10

Now,

m\angle DBC=(x+20)^\circ

m\angle DBC=(10+20)^\circ

m\angle DBC=30^\circ

And,

m\angle ABC=(3x)^\circ+(x+20)^\circ

m\angle ABC=(4x+20)^\circ

m\angle ABC=(4(10)+20)^\circ

m\angle ABC=(40+20)^\circ

m\angle ABC=60^\circ

Therefore, m\angle DBC=30^\circ,m\angle ABD=30^\circ and m\angle ABC=60^\circ.

8 0
2 years ago
Find the area of the iscoseles triangle first answer=brainliest
blsea [12.9K]

Answer:

60cm^{2}

Step-by-step explanation:

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area of triangle = \frac{1}{2} x base x height

area of triangle = \frac{1}{2} x 10 x 12

area of triangle = 60

5 0
3 years ago
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