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Romashka [77]
3 years ago
10

Tess has 42 words of an essay typed and is typing about 1.3 words per second. Margo 122 words of an essay typed and is erasing a

bout 1.2 words per second. In how many seconds will the number of words in Tess’s essay exceed the number of words in Margos essay?
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

  32 seconds

Step-by-step explanation:

For some number of seconds (s), Tess's essay length (t) will be ...

  t = 42 +1.3s

and Margo's essay length (m) will be ...

  m = 122 -1.2s

We will have t > m when ...

  t > m

  42 +1.3s > 122 -1.2s

  2.5s > 80 . . . . . . . . add 1.2s-42

  s > 32 . . . . . . . . . . . divide by 2.5

After 32 seconds, Tess's essay will exceed Margo's in length.

 

You might be interested in
What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? A. maximum point: (–2.4, 3
slava [35]

Answer:

(-2.4, 37.014)

Step-by-step explanation:

We are not told how to approach this problem.  

One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually.  A good graph done on a graphing calculator would be sufficient info for this estimation.  My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.  

Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3].  In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.

Optional:  Another approach would be to use calculus:  we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x.  There would be four x-values, which we'd call "critical values."

3 0
3 years ago
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It takes 120 newspapers to fill 8 recycling bins. What is the unit rate in newspapers per recycling bin?
bekas [8.4K]
You just do 120 divided by 8 which is about 15 newspapers
8 0
3 years ago
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144=12x <br> 45 =4x-27 <br> 2x-2=14 <br> 12x=44-10x does any one kno these questions?
Free_Kalibri [48]

Hello russell6333!

\huge \boxed{\mathfrak{Question} \downarrow}

Solve for x.

  1. 144 = 12x
  2. 45 = 4x - 27
  3. 2x - 2 = 14
  4. 12x = 44 - 10x

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

1) \:  \:  \: 144 = 12x \\  \frac{144}{12}  = x \\ \boxed{ \boxed{  \bf12 = x}}

__________________

2) \:  \:  \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\  \frac{72}{4}  = x \\  \boxed{ \boxed { \bf18 = x }}

__________________

3) \:  \:  \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x =  \frac{12}{2}  \\ \boxed{  \boxed{ \bf \: x = 6}}

__________________

4) \:  \:  \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x =  \frac{44}{22}  \\  \boxed{\boxed{  \bf \: x = 2}}

__________________

<h3><u>NOTE </u><u>:</u><u>-</u></h3>
  • To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
  • Remember that the signs & operations will change when you bring a term to the other side of the equation.
  • So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0
3 years ago
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Please help!!!!!!!!!!
Sergeu [11.5K]
1, 3, and 5 would be my best guesses but I’m not 100 percent sure
7 0
3 years ago
HELP ME PLZZ I NEED HELP WITH THIS!!
VARVARA [1.3K]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
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