Amy had 4 pieces of string that were cut in various lengths. the string lengths are 407.3, 470.8, 407.1 and 470.3. which shows the lengths in order from least to greatest?

Answers

Answer 1
Answer: 407.1, 497.3, 470.3, 470.8

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Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, how many ounces of hot dogs is he buying?

Yoko paid $10.70 for stamps. She bought three times as many 25 cent stamps as 14 cent stamps, twice as many 2 cent stamps
as 25 cent stamps and the same number of one-cent stamps as
2 cent stamps. How many stamps of each type did Yoko buy?

Answers

Answer:

  • 30 of 25 cent, 10 of 14 cent, 60 of 2 cent

Step-by-step explanation:

  • Note: it must be typo 10.70, changed to 10.10

Number of 25 cent stamps = x

Number of 14 cent stamps = y

Number of 2 sent stamps = z

  • Total = $10.10 = 1010 ¢
  • x = 3y
  • z = 2x ⇒ z = 6y

Solving equation

  • 25x + 14y + 2z = 1010
  • 25(3y) + 14y + 12y = 1010
  • 75y + 26y = 1010
  • 101y = 1010
  • y = 1010/101
  • y = 10

The finding x and z

  • x = 3*10 = 30
  • z = 6*10 = 60

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Write the number21,989.098 in expanded form and word form

Answers

21,989.098 in expanded form would be...

20,000+1,000+900+80+9+0.09+0.008

21,989.098 in word form would be...

Twenty-one thousand nine hundred eighty-nine and ninety-eight thousandths

−24 − (18 ÷ 6) × (−12)

Answers

Answer:

The expression is equal to 12.

Step-by-step explanation:

-24-(18 / 6)*(-12)

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

-24-(18 / 6)*(-12)

-24-(3)*(-12)

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

-24-(3)*(-12)

-24-(-36)

Since subtracting a negative number is the same as adding a positive number:

-24-(-36) = -24+36

Compute the addition:

-24+36=12

-24-(18 / 6)*(-12) = 12

Answer: The expression is equal to 12.

Answer:

12

Step-by-step explanation:

Solve the equation 3x-4y=16 for x

Answers

Hi there!


One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D


Let's begin!


3x - 4y = 16


Step 1) Add 4y to both sides.


3x - 4y + 4y = 16 + 4y 3x = 4y + 16


Step 2) Divide both sides by 3.


(3x)/(3) = (4y + 16)/(3)


x = (4)/(3) y + (16)/(3)


Final answer -


x = (4)/(3) y + (16)/(3)


If you wanted to see this graphed, however, see the attached file. :)


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3

Aaron gives an estimate of 2 for the quotient in a division problem his teacher says his estimate is reasonable if the divisor is 4 which number could be the dividend in Aaron's problem help pleaseeee

Answers

B because it's the closest to 8

36x^2-21x-30 factor

Answers

Easy...

to even begin to factor..you must factor out a 3, to simplify your answer.

3(12x^(2)-7x-10)

Now, you can factor.

3(12 x^(2) -7x-10)

So..to find the answer...

12*-10=-120x
and 
you would use -7x

What multiplies to -120..but adds to -7?

-15*8=-120
and
-15+8=-7

To find the answer, plug in what you know..

3(3x+2)(4x-5)

Thus, your answer.