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Gnom [1K]
2 years ago
14

Which expression is equivalent to .02m(n - 5) - .02(m + 10)? A) .02mn - .12m - 0.2 B) .02mn + .12m - 0.2 C) .02mn - .12m + 0.2 D

) .02mn + .12m + 0.2
Mathematics
2 answers:
VikaD [51]2 years ago
7 0
The correct answer is A)<span>.02m(n - 5) - .02(m + 10)</span>
mariarad [96]2 years ago
7 0

Answer:

.02mn - 0.12m -0.2

Step-by-step explanation:

.02m(n - 5) - .02(m + 10)

To get equivalent expression, remove the parenthesis

Distribute .02m inside the parenthesis

.02mn - 0.1- .02(m + 10)

Distribute -0.2 inside the parenthesis

.02mn - 0.1m- .02 m-0.2

Now combine like terms

.02mn - 0.12m -0.2

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Beth rode her bike for the following distance each day
zhuklara [117]
Monday: 3 1/4 miles
Tuesday: (3 1/4)(2/3) = 2 1/6 miles
Wednesday: (2 1/6)(2) = 4 1/3 miles
Thursday: (4 1/3)(3/4) = 3 1/4 miles

Add them all up: 13 miles

She has not reached her goal, she needs to ride her bike 2 more miles to reach her goal.
3 0
3 years ago
What is -2.6c - 2.8c equal??
Zina [86]

Answer:

-5.4c

Step-by-step explanation:

We're combining two "like" terms here.

It may make the problem easier to visualize if we write one of these terms over the other, as follows:

-2.6c

- 2.8c

----------

Adding, we get:

-2.6c

- 2.8c

----------

- 5.4c (answer)

3 0
3 years ago
Hey, if anyone is good at Algebra 2, please help with this problem! "The AP chemistry class is mixing 100 pints of liquid togeth
Gelneren [198K]
I m. .

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5 0
2 years ago
*Silly and/or spam answers will not be tolerated*
stepladder [879]

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

-------------------

(x+6) (sqrt( 10-x) +4)    

-6-x

-------------------

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

-------------------

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

-------------------

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

5 0
3 years ago
Read 2 more answers
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
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