1) How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:
5x + 85 = 20x + 40
45 = 15x
<u><em>x = 3 weeks</em></u>
2) How much money will that be? plug x = 3 back into the equation to solve for y:
Jake: 5(3) + 85 = $100
Seth: 20(3) + 40 = $100
<u><em>answer is $100</em></u>
Answer: 10 inches
Step-by-step explanation:
If the two triangles are similar, that means their sides are proportional to each other.
- JK = 15
- JL = 15 + 6 = 21
- JM = 14
<em>The proportion would look like this:</em>
<em />
<em>Substitute in the values:</em>
<em />
<em>Cross-multiply and solve for JN:</em>
<em />
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
Answer: 9 over 12 is = 15 over x
Step-by-step explanation:
Answer:
x = 9; y = 1
Step-by-step explanation:
