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Olegator [25]
3 years ago
11

Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

13. 5 minutes

Step-by-step explanation:

This is a simple proportion problem. Make two fractions where one item is always on the top and the other on the bottom.

\frac{3 min}{128 words} = \frac{x min}{ 576 words}

Now, cross multiply (multiply the two numbers diagonal from each other and divide  the diagonal with the x value)

576 x 3 = 1, 728

1, 728 / 128 = 13.5

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Please help, I’ll mark your answer as brainliest.
timama [110]

Already answered here: brainly.com/question/26919792

5 0
2 years ago
a) Estimate the volume of the solid that lies below the surface z = 7x + 5y2 and above the rectangle R = [0, 2]⨯[0, 4]. Use a Ri
SSSSS [86.1K]

In the x direction we consider the m=2 subintervals [0, 1] and [1, 2] (each with length 1), while in the y direction we consider the n=2 subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of R are (1, 0), (2, 0), (1, 2), (2, 2).

Let f(x,y)=7x+5y^2. The volume of the solid is approximately

\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy\approx f(1,0)\cdot1\cdot2+f(2,0)\cdot1\cdot2+f(1,2)\cdot1\cdot2+f(2,2)\cdot1\cdot2=\boxed{164}

###

More generally, the lower-right-corner Riemann sum over m=\mu and n=\nu subintervals would be

\displaystyle\sum_{m=1}^\mu\sum_{n=1}^\nu\left(7\frac{2m}\mu+5\left(\frac{4n-4}\nu\right)^2\right)\frac{2-0}\mu\frac{4-0}\nu=\frac83\left(101+\frac{21}\mu+\frac{40}{\nu^2}-\frac{120}\nu\right)

Then taking the limits as \mu\to\infty and \nu\to\infty leaves us with an exact volume of \dfrac{808}3.

7 0
3 years ago
In parallelogram LMNO, what are the values of x and y?
Norma-Jean [14]
In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem.
∠O = ∠M since they are opposite
2x = 3x - 55
55 = 3x - 2x
55 = x

Total of all angles in the parallelogram is 360°
∠L + ∠N +∠O +∠M=360°
360° - ∠O -∠M = ∠L + ∠N note that ∠L =∠N
360° -110° -110° = 2∠N
70° = ∠N

Solving for Y,
∠N = 5Y = 70°
Y=70/5
Y=14

Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".
6 0
3 years ago
Read 2 more answers
HELP PLEASE!
arsen [322]

Answer:a two-step equation is an algebraic equation you can solve in two steps. ... It's always a good idea to check our solution in the original equation to make sure you  didn't make any mistakes:

Step-by-step explanation:

7 0
3 years ago
what is the answer to the volleyball team at blue point high school has saved $680 and the team plans to spend no more then that
Oliga [24]

Answer:

Step-by-step explanation:

just add the numbers

6 0
3 years ago
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