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hoa [83]
3 years ago
12

If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages

less per day, he will need 8 extra days to finish. How many pages does the book have?
PLZ HELP
Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

(x-18)(d+5)=xd

xd+5x-18d-90=xd

5x-18d=90            .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

(x-24)(d+8)=xd

xd+8x-24d-192=xd

8x-24d=192

x-3d=24       ... (2)

Subtract 5 times of equation (2) from equation (1).

5x-18d-5(x-3d)=90-5(24)

5x-18d-5x+15d=90-120

-3d=-30

d=10

Substitute d=10 in equation (1).

5x-18(10)=90  

5x-180=90  

5x=90+180

5x=270

Divide both sides by 5.

x=54

Total number of pages

xd=(54)(10)=540

Therefore , the total number of pages is 540.

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−c=d−r−a

Step-by-step explanation:

if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.

5 0
2 years ago
What is the equation of the line, in slope-intercept form, passing through (0,7) and parallel to y=3x−5?
Svetradugi [14.3K]
Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.

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8 0
3 years ago
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
kkurt [141]

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

20 \div 10

which equals 2

To find our water melon we will multiply it by 2

71 \times 2

which equals 142

She will have 142 watermelons

7 0
3 years ago
^^^^^^^^^^^^^^^^^^^^
telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

-  \frac{10}{19}  \div ( -  \frac{5}{7} )

We multiply by the reciprocal of the second fraction:

-  \frac{10}{19}   \times  ( -  \frac{7}{5} )

We cancel out the common factors to obtain:

-  \frac{2}{19}   \times  ( -  \frac{7}{1} )

We multiply to get

\frac{ - 2 \times  - 7}{19 \times 1}

This simplifies to :

\frac{14}{19}

The correct answer is C

7 0
3 years ago
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Degger [83]
(4x7) -3
(28) -3
28-3 = 25
6 0
3 years ago
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