Answer:p = -1.25
Step-by-step explanation:
Simplifying
3 + 17p = -32 + -11p
Solving
3 + 17p = -32 + -11p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '11p' to each side of the equation.
3 + 17p + 11p = -32 + -11p + 11p
Combine like terms: 17p + 11p = 28p
3 + 28p = -32 + -11p + 11p
Combine like terms: -11p + 11p = 0
3 + 28p = -32 + 0
3 + 28p = -32
Add '-3' to each side of the equation.
3 + -3 + 28p = -32 + -3
Combine like terms: 3 + -3 = 0
0 + 28p = -32 + -3
28p = -32 + -3
Combine like terms: -32 + -3 = -35
28p = -35
Divide each side by '28'.
p = -1.25
Simplifying
p = -1.25
Well, since 1 tank takes 60 minutes (hour) and the other takes 40 minutes , add those to get 100 minutes . Divide 6000 by 100 to see how long it takes to fill the tank
Answer :60 minutes or an hour
Hope this helps!
<u>ANSWER</u>=<u>5.2</u>
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<u>EXPLANATION</u>
This triangle shows a example of the Pythagorean Theorem, which means the equation is gonna be
a^2+b^2=c^2
The variables <u>a </u>and <u>b </u>are the straight sides of the triangle, while the variable <u>c </u> is the curved side on the triangle, or what we are trying to find in this question.
Firstly let’s take the two sides that already have a number shown, also known in the Pythagorean Theorem as sides <u>a </u>and <u>b</u>.
2^2+4.8^2=c^2
Now we want to square the two given numbers to get the equation
4+23.04=c^2
Now we add the two given numbers that we have now squared to get the equation
27.04=c^2
The final step will now be to take the number (27.04) and square root it, which should give you the answer, <u>5.2</u>
H=A/0.5b isolate h
h=2A/b Make all terms integers (optional)
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
