An example would be:
Standard:12345678
Expanded: 10000000+2000000+300000+40000+5000+600+70+8
Word: twelve million three hundred forty-five thousand six hundred seventy-eight
Answer:
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
Step-by-step explanation:
Let
Claire stickers= x
Josh = 2x
Ann= 2x + 7
Total stickers = 157
Total stickers = Claire stickers + Josh stickers + Ann stickers
157 = x + (2x) + (2x+7)
157 = x + 2x + 2x + 7
157 = 5x + 7
Subtract 7 from both sides
157 - 7 = 5x + 7 - 7
150 = 5x
Divide both sides by 5
150/5 = x
30 = x
x = 30
Claire stickers= x
=30 stickers
Josh = 2x
= 2(30)
= 60 stickers
Ann= 2x + 7
= 2(30) + 7
= 60 + 7
= 67 stickers
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
So when you work with variables (x, y or any other letter), when they're beside a number it usually means to multiply.
So 3y can also be written as 3(3). So 3 multiplied by 3 is equal to 9
So now our problem looks like this,
x/9.
Since we already know what x is equal to, our problem will look like this
18/9.
So now all we have to do is divide.
18 divided by 9 is 2
So therefore, your answer is 2.
I hope this helps :)
