Answer:
4(t+25) = (t+50) - 4 (0.15t)
4t + 100 = t + 50 - 0.6t
4t + 100 = 50 + 0.4t
4t - 0.4t + 100 = 50 + 0.4t - 0.4t
3.6t + 100 = 50
3.6t + 100 - 100 = 50 - 100
3.6t = -50
3.6t / 3.6 = -50 / 3.6
t = - 13.9
Step-by-step explanation:
Answer:
i think x=4.75
Step-by-step explanation:
9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Let
x---------> the length of the rectangle
y--------> the width of the rectangle
we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=12
x=y-5-----> x=12-5-----> x=7
the answer isthe length of the rectangle is 7 ftthe width of the rectangle is 12 ft
Answer:
Brother's money = $6
Money I have = $18
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
<em>I have 3 times as much money as my brother:
</em>
Money I have = 3x
Where x is the money that my brother has:
Brother's money = x
<em>Our total is $24
</em>
So, 3x+x =24
Solving for x
3x+x=24
4x =24
x =24/4
x = 6
Replacing with the value of x.
Brother’s money = x = $6
Money i have = 3x =3(6) = $18