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Contact [7]
3 years ago
8

On the first day of class, Willem’s Algebra I teacher agreed to assign no homework for a week to the first student to answer thi

s question: There is a positive two-digit integer that is divisible by the sum of its digits and has exactly five factors. What is the sum of its factors? (This is for my little sister in middle school)
Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

81

Step-by-step explanation:

There are only two numbers with 5 factors that are only two digits. 16 and 81 are the only options and when you add 8+1=9 and 81 is divisible by 9.

Have fun with no homework for a week!

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How to set the answer up
Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0
3 years ago
Select the example which illustrates the distributive property. (7 x 39), 39 x 7 7(30 + 9) = 7(30) + 7(9) (7 + 3) (7 + 9) (7 x 3
Andreyy89
Answer is 7(30+9)=7(30)+7(9)
4 0
2 years ago
What is the value of x?<br> A:3.6<br> B:5.8<br> C:11.5<br> D:14.3
nignag [31]
I is C because you use the pythag theorem
8 0
3 years ago
For what value of x must ABCD be a​ parallelogram?
bija089 [108]

5x = 6x-7

subtract 6x from each side

-x=-7

x=7


8 0
3 years ago
Read 2 more answers
An architect draws a blueprint of a house. He draws the living room on the blueprint as 4.5 in. long by 6 in. wide with a scale
s2008m [1.1K]

Answer:

the answer is 8.5

Step-by-step explanation:

yeet

8 0
3 years ago
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