The answer is 10 units. This is because you have to find X where 2x+10 just the same with the other side of the triangle.the triangle is also known as isosceles triangle in which two sides are equal to each other. You just have to equate it to the x+3. So 4x+30=2x+10 so x=10 units.
So here you are trying to find out what times .30 (30%) subtracted the original price will give you 18.75. Because it is 30% discount you want to use 70% (.7) so that you can find the price before not the price after.
so .7(x) = 18.75
Which you then divide and then get 26.79 dollars.
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Here are a few rules with exponents that you need to know:
- Dividing exponents of the same base:
For this, divide:
<u>Your final answer is 
</u>
Cost of 6 days climbing = $10 * 6 = $60
Cost of one pair of shoes = $84
Total cost = $169
So, cost of one harness = $169 - $(84+60)
harness = $169 - $144 = $25
So, your final answer is $25
