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AfilCa [17]
3 years ago
14

540 less than the product of 54 and a number is 918

Mathematics
2 answers:
maria [59]3 years ago
8 0
54x - 540 = 918
+540 +540
54x = 1458
/54 /54
x = 27
Evgen [1.6K]3 years ago
5 0
First, you get you equation, which is 54x-540=918. Then you solve your equation. First, add 540 to both sides, get 54x=1,458. Then divide both sides by 54, and get x=27
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A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each
ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

<u><em>Step-by-step explanation:</em></u>

<u><em /></u>

Hello,

<u>Let's note</u>

a    the number of $10 bills

b    the number of $20 bills

The total value is $520 so we can write the first equation (1)

    \boxed{\sf 10a \ + \ 20b \ = \ 520 }

We know that there are 32 bills in total so we can write the second equation (2)

    \boxed{\sf a \ + \ b \ = \ 32 }

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Martin has 128 pencils that he is putting
rosijanka [135]

128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3

Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3

4 0
3 years ago
What is the equation for the line of reflection <br><br> A. X=6<br> B. Y=6<br> C. Y=x<br> D. Y=2
PilotLPTM [1.2K]

Answer:

x = 6

Step-by-step explanation:

The line of reflection is x = 6.

5 0
3 years ago
here and buys a bag of peanuts that weighs three fourths of a pound later that week the bag is two-thirds full how much does the
Romashka-Z-Leto [24]
So you have 3/4x2/3 because it's 2/3 of the bag left, so you find the least common denominator (bottom number of fraction), which in this case is 12, so you find how you get to 12 for each of the bottom numbers, so x3 on the first one, and x4 on the other one. then you multiply the top numbers by what you multiply the bottom ones by, so it would be 9/12x8/12 you then multiply both numbers so 72/144 and then you simplify that to 1/2 so it's 1/2lb.
8 0
3 years ago
The sum of the squares of two nonnegative numbers is 327. The product of the two numbers is 101. What is the sum of the two numb
Verizon [17]
A) x² + y² = 327
B) x * y = 101
Solving equation B for y²
B) y² = 10,201 / x²
Substituting this into equation A)
x² + 10,201 / x² = 327
x^4 + 10,201 = 327x²
x^4  -327x²  + 10,201 = 0
Using the quartic equation calculator: http://www.1728.org/quartic.htm
x1 = 17.090169943749476
x2 = 5.909830056250525
 
x1 * x2 = 101
x1 + x2 = 23


8 0
3 years ago
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