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sineoko [7]
3 years ago
12

Complete all the problems.

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

$5

Step-by-step explanation:

$15 / 3 = $5 per song

$20 / 4 = $5 per song

So, Killen earns $5 per song.

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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
What is 5 1/2% tax on $20?
nikdorinn [45]
5.5 move decimal place over twice 20*.055 =$1.1 in sales tax
8 0
4 years ago
Read 2 more answers
Sarah rolls a fair dice 54 times.<br> How many times would Sarah expect to roll a four?
Svetradugi [14.3K]

Answer:

9

Step-by-step explanation:

The dice will have 6 sides so divide 54 by 6

6 0
3 years ago
Read 2 more answers
Help me with this topic?! Special right triangles: decimal answers! Round to the nearest tenth
Alja [10]

Answer:

a=10, c=1.4

Step-by-step explanation:

so the ratio of the side with the length 5 to the side <em>a</em> is 1:2(or we could say a to 2a). Because of this we now multiply 2 to 5 to get a=10(because it is a 1 to 2 ratio).The relation between the side worth 2 and the side <em>c</em> is a√2 to a. so we divide √2 from 2 to get √2 and this number in decimal form is 1.41421356237....., so rounded to the nearest tenth is 1.4(because 1 rounds down)

8 0
3 years ago
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr
Dvinal [7]

Answer:

Step-by-step explanation:

Using the formula for calculating speed;

Speed = Distance/Time

Given

Speed = 3/24 miles per 3 hours

Required

Distance travelled in an hour

3/24 miles = 3 hours

x = 1 hour

Cross multiply;

3 * x = 3/24 * 1

3x = 3/24

Cross multiply;

3x * 24 = 3

72x = 3

x = 3/72

x = 1/24

Hence the distance travelled each hour is 1/24 miles

8 0
3 years ago
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