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il63 [147K]
2 years ago
8

Alex reads about 200 words per minute. The book he needs to read is 320 pages long and has about 275 words per page. How many ho

urs must he read if he has 7 days to read the entire book?
[ Please don't only do the answer, I have more questions like this and giving the steps would really help a lot !! Thank you! ]​
Mathematics
1 answer:
grandymaker [24]2 years ago
5 0

Answer:

7.3333 hours

Step-by-step explanation:

if im wrong oh well lol 275x320=88000 divided by 200 =440 divided by 60=7.3333

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A ship travels 62.5 km in 1st hour of sailing. Starting from 2nd hour, the distance travelled per hour is x% of that in the prec
Bas_tet [7]
Speed of the ship in the second hour =  (62.5 * x ) / 100  kph.

In third hour it is  [(62 * x) / 100 ] * x/100]

is 4th hour its is the above * x/100 again  so we can now form the equation

62.5x      x          x
------- *   ----  *  ----    =  32
100      100      100

62,5 x^3 = 32,000,000
x^3 =  512,000
x = 80 <-----  Answer  to (a)

(b)  Ship travels 62.5 in first hour then  this falls by a common ratio of 0.8 each hour so we have a geometric sequence 

Dist travelled in 6 hours  =  a1  1 - r^n
                                                --------  = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56

                                               1 - r

Answer is    230.56 km 




5 0
3 years ago
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0
3 years ago
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7.
kumpel [21]

Answer:

7

Step-by-step explanation:

the answer is 7 positive and negative equal positive so it is 7

5 0
2 years ago
238 +439 round you're answer to the. earest dollar​
Paha777 [63]

Answer:

677

Step-by-step explanation:

238 + 439 = 677

It is t possible to round it form the ones (dollar) place.

8 0
4 years ago
Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π]
grigory [225]
Hello,

-1<=cos x <=1
==>-10<=10*cos x <=10
max y=10 if x=0 +2kπ ==>x=0,-2π,2π
min y=-10 if x=π+2kπ ==>x=-π,π
6 0
4 years ago
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