Answer:
k = 5
Step-by-step explanation:
-2k = k - 7 - 8
Combine like terms
-2k = k - 15
add 15 to both sides
-2k + 15 = k
Add 2k to both sides
15 = 3k
Divide both sides by 3
k=5
Hope this helps!
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Answer:
the top one that's orange
Answer: 
Step-by-step explanation:
1. You have the following information given in the problem above:
- y represents total earnings in dollars .
- x represents hours worked.
2. Keeping on mind that the expression must model the wages of someone who makes $11.50 in an hour, this amount of money per hour must multiply the hours worked, which is represented by x.
3. Therefore, you can write the following equation:

Answer:
x = 31/9 and y = 5/3
Step-by-step explanation:
It is given that,
3x - 2y = 7 -----(1)
3x + 4y = 17 ----(2)
<u>To find the solution by elimination method</u>
Step 1: Subtract eq(2) from eq(1)
3x - 2y = 7 -----(1)
<u> 3x + 4y = 17 </u>----(2)
0 - 6y = -10
6y = 10
y = 10/6 = 5/3
Step 2: Substitute the value of y in eq (1)
3x - 2y = 7 -----(1)
3x - 2*(5/3) = 7
3x = 7 + 10/3
3x = 31/3
x = 31/9
Therefore x = 31/9 and y = 5/3