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mr_godi [17]
4 years ago
10

For homework, Fred has to read 30 minutes daily. It takes him 2 minutes per page, and he spends 4 minutes viewing graphics in th

e book. If x represents the number of pages he reads, then 2x + 4 ≥ 30 represents the time he reads each day. What is the fewest number of pages Fred must read to complete his homework?
Mathematics
1 answer:
blondinia [14]4 years ago
8 0
He must read 13 pages or more, because 13*2=26. 26+4=30. This is your answer, and I hope it helps.
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a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in sti
Galina-37 [17]
\begin{gathered} \text{Let;s assume the sp}e\text{d of boat in still water is x.} \\ And\text{ the spe}ed\text{ of stream is y.} \\ For\text{ upstream,} \\ (x-y)\times8=456 \\ x-y=57\ldots(1)_{} \\ (x+y)\times9=783 \\ x+y=87 \\ x=87-y\ldots(2) \\ \text{Now, substitute the value of x in the equation (1).} \\ 87-y-y=57 \\ -2y=57-87 \\ 2y=30 \\ y=15\text{ km/hours (rate of current)} \\ \text{Substitute the value of y in the equation (2).} \\ x=87-15 \\ x=72\text{ km/hours (boat in still water)} \end{gathered}

4 0
1 year ago
In the diagram, AB is divided into equal parts. The coordinates of point A are _____, and the coordinates of point I are______ .
tankabanditka [31]

Answer:

The coordinates of point A are (-10,-4). The coordinates of I are (-3.875,-10.125).

Step-by-step explanation:

It is given that the the line AB is divided into equal parts. Therefor distance between two consecutive points are equal.

The point D is mid point of A and F.

(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

(-8.25,-5.75)=(\frac{x+(-6.5)}{2},\frac{y+(-7.5)}{2})

-8.25=\frac{x-6.5}{2}

-16.50=x-6.5

-10=x

-5.75=\frac{y-7.5}{2}

-11.50=y-7.5

-4=y

Therefore the coordinates of A are (-10,-4).

Similarly the pint H is midpoint of F and B.

(-4.75,-9.25)=(\frac{x+(-6.5)}{2},\frac{y+(-7.5)}{2})

The values of x and y are,

x=-3

y=-11

Therefore the coordinates of B are (-3,-11).

The point I is mid point of HB. H(-4.75,-9.25) and B(-3,-11).

(x,y)=(\frac{-4.75-3}{2},\frac{-9.25-11}{2})

(x,y)=(-3.875,-10.125)

Therefore the coordinates of I are (-3.875,-10.125).

3 0
3 years ago
Reagan’s piggy bank has all nickels ($.05) and dimes ($.10). The value of the money in his piggy bank is $7.80. Reagan has 66 ni
Brilliant_brown [7]
7.80=.05(66)+.1x
7.80=3.3+.1x
-3.3 -3.3
4.5=.1x
/.1 /.1
45 = x

45 dimes
4 0
3 years ago
What is the best estimate for 38
GenaCL600 [577]

Answer:

40

Step-by-step explanation:

5 0
4 years ago
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What is the greatest common factor of 4xy2 and 20x2y4?
expeople1 [14]
4xy^2 is the gcf, as the largest thing 20x2y4 can divide by is 4xy2
3 0
3 years ago
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