Lucas equation for his location is x(t) = 13t.
Alfonso's equation is x(t) = 238 - 21t
If you equate these, you get:
13t = 238 - 21t =>
34t = 238
t = 7
So after seven hours they meet.
101/32 or 3 5/32 or 3.15625
(5/4 × 54/48) = 45/32
(5/4 × 105/75) = 7/4
7/4 x 8 top & bottom =56/32
45+56=101
Hope this helps!
Answer: Mark has 28 marbles while Don has 85 marbles.
Step-by-step explanation:
Let x represent the number of marbles that Mark has.
Let y represent the number of marbles that Don has.
If Don has 1 more than 3 times the number of marbles Mark has, it means that
y = 3x + 1
The total number of marbles is 113. It means that
x + y = 113- - - - - - - - - - - - 1
Substituting y = 3x + 1 into equation 1, it becomes
x + 3x + 1 = 113
4x + 1 = 113
4x = 113 - 1 = 112
x = 112/4
x = 28
y = 3x + 1 = 3 × 28 + 1
y = 85
Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.
:)
Answer:
-10.76
Step-by-step explanation:
Let's solve your equation step-by-step.
4=314(1.5x)
Step 1: Flip the equation.
314(1.5x)=4
Step 2: Divide both sides by 314.
314(1.5x)/314
=
4/314
1.5x=2/157
Step 3: Solve Exponent.
1.5x=2/157
log(1.5x)=log(2/157)(Take log of both sides)
x*(log(1.5))=log(2/157)
x=
log(2/157)
log(1.5)
x=−10.760725
Answer:
x=−10.760725
