After 10 minutes, he's 40 miles away. After 22 minute, he's 34 miles away. Therefore, in those 12 minutes between, he covered 6 miles. We can make a ratio out of this: 6/12 = 0.5, so he is walking at a rate of 0.5 mi/min (miles per minute). Finally, we can set x/90 equal to 0.5/1 because he is walking at the same rate the entire time. Cross multiply to solve for x. Finally, you get that he had to travel 45 miles in 90 minutes, so his home is 45 miles away from his grandmother's.
2(3)-9(2)-11x+8=0
(2)(3)-(9)(2)-11x+8=0
6+-18+-11x+8=0
(-11x)+(6+-18+8)=0 Combine Like Terms.
-11x+-4=0
-11x-4=0
Add 4 to both sides.
-11x-4+4=0+4
-11x=4
Divide both sides by -11.
-11x/-11=4/-11
x=-4/11
Hope this helps!
Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So,
.
I hope this helps!
Hey there :)
We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }
Lehena:Initial amount = $100
Interest rate = 2.5% =
![\frac{2.5}{100} = 0.025](https://tex.z-dn.net/?f=%20%5Cfrac%7B2.5%7D%7B100%7D%20%3D%200.025)
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$
Total = $100 + $7.5 =
$107.5Marty:Initial amount = $100
Interest rate = 2% =
![\frac{2}{100} = 0.02](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B100%7D%20%3D%200.02)
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6
Total = $100 + $6 =
$106How much more than Marty did Lehena receive?= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5Your answer will be option
B) $1.50
Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse. ![cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}](https://tex.z-dn.net/?f=cos%2840%29%3D%5Cfrac%7B10%7D%7Bx%7D%20%5C%5Ccos%2840%29%20%28x%29%3D%5Cfrac%7B10%7D%7Bx%7D%28x%29%5C%5Ccos%2840%29%20%28x%29%20%3D10%5C%5C%5Cfrac%7Bcos%2840%29%20%28x%29%7D%7Bcos%20%2840%29%7D%20%3D%5Cfrac%7B10%7D%7Bcos%20%2840%29%7D%20%5C%5Cx%3D%5Cfrac%7B10%7D%7Bcos%2840%29%7D)
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C
![tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x](https://tex.z-dn.net/?f=tan%2840%29%3D%5Cfrac%7Bx%7D%7B10%7D%20%5C%5Ctan%2840%29%20%2810%29%3D%5Cfrac%7Bx%7D%7B10%7D%2810%29%5C%5Ctan%2840%29%20%2810%29%20%3D%20x)
Using a calculator x would be about 8.4