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creativ13 [48]
2 years ago
9

1. Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?

Mathematics
2 answers:
In-s [12.5K]2 years ago
7 0

Answer:

1.  −2.1−(5.9+3.7)

2.  −20+(−40)+(−60)

3.  associative properties

4.  commutative properties

5.  -43

Step-by-step explanation:

larisa86 [58]2 years ago
5 0

Answer:

1. Option b) -2.1 - (5.9+3.7)

2.  Option b) -20 + (-40) + (-60)

3. Associative property

4. Commutative property

5. -43

Step-by-step explanation:

1. We are given the expression:

-2.1 + (-5.9) + (-3.7)

Now, if we take minus common from the last two terms, then, the expression would be of the form:

-2.1 - (5.9+3.7)

Hence, the given expression is equivalent to option b) -2.1 - (5.9+3.7)

2.  We are given the expression:

-40 + (-20) + (-60)

Now, if we rearrange the terms in the expression, then, the expression would be of the form:

-20 + (-40) + (-60)

Hence, the given expression is equivalent to option b) -20 + (-40) + (-60)

3. The property mentioned here is the associative property.

a+(b+c) = (a+b)+c

4. The property mentioned here is the commutative property.

a+b = b + a

5.

-35 + 7 + (-15)\\=7 - (35 + 15)\\= 7 - 50\\= -43

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Step-by-step explanation:

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3 years ago
Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.<br> .<br> The sum is
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Step-by-step explanation:

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)

m=\frac{17.5-24.5}{23-9}

m=-0.5

\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b

y=\left(-0.5\right)x+b

\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5

24.5=\left(-0.5\right)\cdot \:9+b

24.5=\left(-0.5\right)\cdot \:9+b

-4.5+b=24.5

b=29

\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29

y=-0.5x+29

Now plug in x=21, we get

y=-0.5*21+29=18.5

Thus the height of the candle after 21 hours is 18.5 centimeters.

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3 years ago
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Answer:

C. 15

Step-by-step explanation:

You just need to add the number of dots, hoped this helped and was fast enough

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