I got 1,727,940
Plug in the numbers
Answer: $1846.64
Step-by-step explanation:
Given : The average summer vacation costs $2252.
If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-
![82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64](https://tex.z-dn.net/?f=82%5C%25%5Ctext%7B%20of%20%7D%5C%242252%5C%5C%5C%5C%5Ctext%7BConvert%20percent%20into%20fraction%20by%20dividing%20it%20by%20100%2C%20we%20get%7D%5C%5C%5C%5C%3D%5C%24%5B%5Cdfrac%7B82%7D%7B100%7D%5Ctimes2252%5D%5C%5C%5C%5C%3D%5C%24%5B%5Cdfrac%7B184664%7D%7B100%7D%5D%5C%5C%5C%5C%3D%5C%241846.64)
Therefore the amount of the vacation cost is charged= $1846.64
Answer:
HG = EF
GF = HE
Step-by-step explanation:
Answer:
ASA
Step-by-step explanation:
We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
