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Ksju [112]
3 years ago
11

sophia is 6 years older than her brother eric. the sum of their ages is 28. write and solve an equation to find sophia and Eric'

s ages
Mathematics
2 answers:
Alona [7]3 years ago
4 0

E = eric

s = sophia

s = e + 6

s + e = 28

e + 6 = 28

therefore, e = 10

Georgia [21]3 years ago
3 0

28 - s - 6(Sophias age) = Sophia is twenty two and eric is 16.


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What is the least common denominator for the fractions 56and38?
maw [93]

Answer:

The least common factor is 18

Step-by-step explanation:

  • what you need to do is subtract 56 - 38 = 18
  • It would 56/18 and 36/18

  • Hope this helps
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7 0
3 years ago
Read 2 more answers
(-3c+6) + (-c+8) simplify with a step by step please
mel-nik [20]

Step-by-step explanation:

= ( - 3c + 6) + ( - c + 8)

=  - 3c + 6 - c + 8

=  - 3c - c + 6 + 8

= -4c + 14

hence -4c + 14 is the answer ...

hope it helped !!

6 0
1 year ago
7. A vase 25 cm tall is positioned on a bench near a wall as shown. The shape of the vase follows the curve y = (x - 10)^2, wher
Kitty [74]

Answer:

Step-by-step explanation:

the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall

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b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then

x^2 -20x +75 = 0  (x-15) * (x-5) = 0

x = 15 and x = 5

we reject x = 15

the shortest distance from the top of the vase to the wall is 5 cm

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c) this is a left shift of the equation y = (x-10)^2

from b) we know that the left shift is 5 cm

10 - 5 = 5 cm from the wall to the base

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d) y = (x-10+5)^2

y = (x-5)^2    

4 0
1 year ago
<img src="https://tex.z-dn.net/?f=x%20%2B%207%20%20%3C%20%20-%202" id="TexFormula1" title="x + 7 &lt; - 2" alt="x + 7 &lt; -
vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
5 0
2 years ago
Explain why 3/4 of 16 is the same as 3 x 16 divided by 4<br> Please Help
pogonyaev

Answer:

<em>I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.</em>

Step-by-step explanation:

Since 3/4 is a fraction, all fractions can be converted into decimals.

3/4 is also known as 75%, which can be simplified into 0.75 in decimal terms.

Now that you know that 3/4 can be simplified to 0.75, you now need to take that 0.75, and multiply it by 16. You can use a calculator to do this, or you could work it out on a sheet of paper.

An easy way to do this, is to know that 25%, (0.25) of 16 is 4. This is because 4 times 4 is 16. Knowing this, if you are looking for 75% of 16, (0.75) you can multiply 4 by 3, knowing that it is 75% of 16.

The answer to that is 12.

3 x 16 = 48 and if you take 48 and divide it by 4, you will get 12.

You can explain this by writing; <em>I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.</em>

7 0
3 years ago
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