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miv72 [106K]
3 years ago
5

lavalle has 7 math books to line up on a shelf. jenny has 5 english books to line up on a shelf. in how many more orders can lav

alle line up his books than jenny

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
In 4920 more orders. More details in attachment.

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
-BARSIC- [3]
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
8 0
3 years ago
solve this word problem leading to quadratic equation: the area of a rectangle is 60cm². The length is 11cm more than the width.
morpeh [17]

Answer:

Step-by-step explanation:

let : x The length and y the width you have this system :

xy =60....(1)

x = y+10...(2)

put the value for x in (1):  (y+10)y =60

the quadratic equation is : y² +10y - 60 = 0

Δ =b² - 4ac        a = 1        b= 10      c= - 60

Δ =10² - 4(1)(-60) = 324 =18²

y 1 = (-10-18)/2 negatif...... refused

y 2 = (-10+18)/2 =4

the width is 4

8 0
3 years ago
Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression
Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

1 row has x slots

3 rows has y slots

on cross multiplication we get y = 3x

ie there are a total of 3x slots in the 3 rows

Given that out of these 3x slots 5 . of the slots are broken

Therefore the total number of working slots = total number of slots - number of slots which are broken

total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

6 0
3 years ago
Solve for z.<br> az - 17 = -4z-b
Bingel [31]

Answer:

z = (-b + 17)/(a+4)

Step-by-step explanation:

If in terms of a and b, then

az - 17 = -4z - b

z(a-4) = -b+17

z = (-b + 17)/(a+4)

8 0
3 years ago
One safe investment pays 10% per year, and a more risky investment pays 13% per year.
jonny [76]

Answer: 9,600 for the 10% account 10,500 for the 13% why they wouldn't want to put it in the same account is because risky investment for the 13

Step-by-step explanation:

4 0
2 years ago
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