Answer:
Both are 55
Step-by-step explanation:
To solve this problem, set the equations equal to each other, solve for n, then plug in the values
Solve for n:
1. 2n+15=3n-5
2. Add 5 to both sides
3. Now you have 2n+20=3n
4. Subtract 2n from both sides
5. You are left with n=20
Next, plug it in:
1. Replace all n's with 20
2. 2(20)+15=55
3. 3(20)-5=55
There you go! Hope this helps!
The ellipse will be inscribed in the rectangle.
Because the rectangle measures 8 mi by 6 mi, the ellipse has
a = 8/2 = 4 mi (major axis)
b = 6/2 = 3 mi (minor axis)
The equation for the ellipse is
x^2/a^2 + y^2/b^2 = 1
That is
x^2/4^2 + y^2/3^2 = 1
x^2/16 + y^2/9 = 1
Answer:
x^2/16 + y^2/9 = 1
Answer: 84 inches, 7 feet tall.
Step-by-step explanation:
4 x 21 = 84 inches
84/12 = 7 feet ( there are 12 inches in 1 foot)
The combined time taken if Mario and Ben work together will be 1.875 days.
<u>Time taken</u>:
- Mario alone = 3 days
- Ben alone = 5 days
<u>Work rate</u> :
- Rate = 1 / time taken
- Mario's rate = 1 / 3
- Ben's rate = 1/5
<u>Their combined rate can be written thus</u> :
- Mario's rate + Ben's rate = combined rate
- 1/3 + 1/5 = 8/15
<u>Time taken if they work together</u> :
- Reciprocal of combined work rate
- Combined time taken = 1 ÷ 8/15 = 15/8 = 1.875 days
Therefore, the time taken of they work together is 1.875 days
Learn more :brainly.com/question/18112348
Answer:
Step-by-step explanation:
<u>Shaded region (blue) is the difference of areas of big and small triangles</u>
- A = 1/2(16*12 - 10*6) = 66 cm²
<em>The answer options are incorrect</em>
