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olasank [31]
2 years ago
13

4x + 33 = 10x + 3 show your work

Mathematics
2 answers:
asambeis [7]2 years ago
7 0

Answer:

on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5

Step-by-step explanation:

Masteriza [31]2 years ago
6 0

4+33=10+3

4+33−33=10+3−33

4=10−3

=5

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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






8 0
3 years ago
Cindy spends $85 a month on her cell phone plan. She has saved $1,105 to pay her phone bill. How many months will Cindy be able
True [87]

Answer: SHE GOT 13 MONTHS YES SHE DO, 13 MONTHS LEFT IS ANSWER

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Let h(x) = x + 6 and g(x) = x^2 - 4x + 2<br> Find h(x) · g(x)
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Answer: x³+2x²-22x+12

Step-by-step explanation:

the product of functions: (hg)(x)

Use FOIL to solve this (First Outer Inner Later)

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=x³-4x²+2x+6x²-24x+12

=x³-4x²+6x²+2x-24x+12

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3 0
3 years ago
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A micro-photograph of a human hair shows the hair magnified 150 times. If the hair is
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Answer:

<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.

The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.

The hair can be seen 2 cm wide in the photograph.

Converting to millimeters, 2 cm = 2*10 = 20 millimeters.

The actual width of the hair is 20 / 150 = 0.13 mm

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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More Apples = Shannon Apples - Bill Apples

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Hence, 240 pounds of apples Shannon bought than Bill.

3 0
2 years ago
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