Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
Answer:
x=-13
Step-by-step explanation:
5(x + 2) = 3x - 16
5x+10-10=3x-16-10
5x-3x=3x-3x-26
2x/2=-26/2
x=-13
Please, use ( ) around fractional coefficients:
<span>1/3x-9y, 6/5x-15y should (probably) be written as (1/3) - 9y and (6/5)x - 15 y.
The LCD here is 3(5) = 15.
Mult. </span><span>1/3x-9y and 6/5x-15y by 15, and then divide the result by 15:
</span>15 [ (1/3)x - 9y and (6/5)x - 15 y ]
---------------------------------------------
15
This simplifies to:
5x - 135y and 18x - 225y
------------ --------------
15 15
These fractions are equivalent to the original ones, but now the common denominator, 15, is evident.
Answer:
The second 4 wheeler gets better mileage
Step-by-step explanation:
First 4 wheeler:
52mi - 5gal
Second 4 wheeler:
21mi - 2 gal
To compare we have to make sure everything is equal so,
5÷2 = 2.5
so,
second 4 wheeler:
21*2.5=52.5 , 2*2.5=5
52.5mi - 5gal
52<52.5
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
