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murzikaleks [220]
3 years ago
10

U dont have to do the sustem or varibke part, thx

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

5. Katelyn worked 11 hours at the grocery store.

6. 5pounds of steak

Step-by-step explanation:

5. let x hrs be the no. of hours Katelyn worked at the grocery store.

amnt of money she earnt = 9x + (15-x)×15

= 9x -15x + 225

= -6x + 225

-6x + 225 = 159

6x = 225-159

6x= 66

x= 11

Katelyn worked 11 hours at the grocery store.

6. Let x be the pounds of steak he purchased.

total paid= 13.50x + (8-x)×3.25

= 13.50x -3.25x +26

= 10.25x +26

10.25x+ 26=77.25

10.25x = 77.25-26

10.25x= 51.25

x=5

try using the same method for qn 7 too

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what is the units digit of the sum of 1!+2!+3! ... n! when n=2019. Include an explanation and what a unit digit is.
horsena [70]

Hey!

Finding the factorial for the first few numbers, we have:

1!=1

2!=2

3!=6

4!=24

5!=120

6!=720

7!=720*7

8!=720*56

What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.


Feel free to ask further questions!

8 0
4 years ago
Someone please help me
iogann1982 [59]
The correct answer is:  [B]:  " 9.6 cm " . 
____________________________________________________________

Explanation:
____________________________________________________________

Let "FH"  = "x" ;  for which we wish to solve.

45 cm / 12 cm = 36 cm  /  "x" (in "cm") ; 

To solve for "x" ;  
 
Cross--multiply:

Note:    Given:   

" \frac{a}{b} =  \frac{c}{d} " ;  " ad = bc " ;  (b ≠ 0 ; d ≠ 0) ; 


So:  " 45x = 12 * 36 "   ; 

→  45x =  432 ; 

Divide each side of the equation by "45" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ; 
 
→  45x / 45 = 432 / 45 ; 

→  x = 9.6 cm ; 
___________________________________________________________
→  which corresponds with:  
___________________________________________________________

→  Answer choice:  [B]:  " 9.6 cm " .
___________________________________________________________
  
Hope this answer — and explanation — helps!
  Best wishes in your academic pursuits!
___________________________________________________________
8 0
4 years ago
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nataly862011 [7]

Answer:

x = 2

Step-by-step explanation:

63x - 1 and 62x + 1 are corresponding angles and congruent, thus

63x - 1 = 62x + 1 ( subtract 62x from both sides )

x - 1 = 1 ( add 1 to both sides )

x = 2

7 0
3 years ago
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7 0
3 years ago
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dem82 [27]

Answer:

The answer should be 64.21 or 64

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