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professor190 [17]
4 years ago
15

Jack typed 80 words per minute when he enrolled in a typing course. His typing speed increased by 3% two weeks into the course.

At the end of the course, Jack was able to type his entire 1, 680 word document In 20 minutes. What was the percent of increase in his typing speed from the beginning of the course to the end? a 3% b 4% c 5% d 6% e 7%
Mathematics
1 answer:
katrin [286]4 years ago
3 0

Answer:

The answer is option C : 5%.

Step-by-step explanation:

Jack typed 80 words per minute when he enrolled in a typing course.

His typing speed increased by 3% two weeks into the course.

At the end of the course, Jack was able to type his entire 1, 680 word document In 20 minutes.

Hence, the percent of increase in his typing speed from the beginning of the course to the end is given by:

1680/20=84

(84-80)/80 =5%

Therefore, the answer is option C : 5%.

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Find the area of the shaded part of circle Y.
barxatty [35]

Answer:

201.45 cm²

Step-by-step explanation:

The whole circle has an area of π(9)² cm², or 81π cm². The shaded part represents all of the circle except for the chunk swept out by sector XZ.

Sector XZ sweeps out 75°, which represents 75/360 of the whole circle, or, simplified, 15/72. That means the shaded area must represent the other 57/72. To find the area then, we can just multiply that fraction by 81π:

81\pi\cdot\frac{57}{72}=9\pi\cdot\frac{57}{8}

Using π ≈ 3.14 and crunching the numbers out gives us a result of approximately 201.45 cm².

3 0
3 years ago
Solve for x<br> solve for x
Bingel [31]

Answer:

x = 18

Step-by-step explanation:

Total interior angle of pentagon: 540 degrees

(3x + 23) + (9x - 6) + 95 + 90 + (7x - 4) = 540

19x + 23 - 6 + 95 + 90 - 4 = 540

19x + 17 + 95 + 90 - 4 = 540

19x + 13 + 185 = 540

19x + 198 = 540

19x = 342

x = 18

3 0
3 years ago
Read 2 more answers
295 feet = _____ meters ?
katen-ka-za [31]

Answer:

Hello! I hope I am correct!

Step-by-step explanation:

295 feet will equal to 89.916 meters.

Steps in order to solve this problem:

First you have to multiply the length in feet by 0.3048.

295x 0.3048 or 295* 0.3048

(295 feet is equivalent to 89.916 meters!)

Will equal 89.916 meters.

Therefore, 295 feet = 89.916 meter

Hope this helps!

Brainliest would be appreciated!

By:BrainlyAnime

(Picture attached)

3 0
4 years ago
3. x-2y = 12<br>y=3x+ 14 substitution to solve system of equation​
OLEGan [10]

Answer:

\displaystyle [-8, -10]

Step-by-step explanation:

12 = x - 2[3x + 14]

12 = x - 6x - 28

12 = −5x - 28

+ 28 + 28

____________

\displaystyle \frac{40}{-5} = \frac{-5x}{-5}

\displaystyle -8 = x[Plug this back into both equations above to get the y-coordinate of −10]; \displaystyle -10 = y

I am joyous to assist you anytime.

8 0
3 years ago
What are the vertex focus and directrix of the parabola with the given equation <br> y=1/28(x-4)^2-5
patriot [66]
If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2<span> = 4p(y - k)</span><span>, where the </span>focus<span> is (h, k+p) and the </span>directrix<span> is y = k - p. So, we need to determine the values from the equation.

</span><span>y=1/28(x-4)^2-5
</span>(x-4)^2 = 28(y+5)<span>
(h,k) = (4, -5)
p = 7

focus= </span>(h, k+p) = 4,2
directrix = y = k - p = -12

Hope this answers the question.
8 0
3 years ago
Read 2 more answers
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