Answer:
x = 19.6
Step-by-step explanation:
If we need to find the value of x then first we need to
(7x-25) + (3x +9) = 180 (angles at the same side of transversal will be equal to 180 degree )
10x -16 = 180
10x = 180 +16
10x = 196
x = 196/10
x = 19.6
Answer:
Step-by-step explanation:
volume of box=6×6×7 in³
he fits gold 2×2×2
so he fits it in 6×6×6
so number of gold boxes=(6×6×6)/(2×2×2)=27
remaining space=1×6×6
number of silver boxes=(1×6×6)/(1×1×1)=36
total boxes he took=27+36=63
9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
![\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%201%7D%5Cdfrac%7Bn%7D%7Bd%7D%3D%5Cdfrac%7Bn%27%7D%7Bd%27%7D%3D%5Cleft.%5Cdfrac%7B%5Cdfrac%7B4%7D%7B3%5Csqrt%5B3%5D%7B4x-3%7D%7D-%5Cdfrac%7B7%7D%7B2%5Csqrt%7B7x-6%7D%7D%7D%7B%5Cdfrac%7B5%7D%7B2%5Csqrt%7B5x-4%7D%7D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7B2x-1%7D%7D%7D%5Cright%7C_%7Bx%3D1%7D%3D%5Cdfrac%7B4%2F3-7%2F2%7D%7B5%2F2-2%2F3%7D%3D%5Cdfrac%7B8-21%7D%7B15-4%7D%5C%5C%5C%5C%3D%5Cboxed%7B-%5Cdfrac%7B13%7D%7B11%7D%7D)
Answer:
c., d., f
Step-by-step explanation:
"elana walked 12 miles"
That is 12.
"then she walked 1/4 that distance"
That is 1/4 of 12 miles, so it is 1/4 * 12
She walked altogether
12 + 1/4 * 12 = 12 + 3 = 15
She walked altogether 15 miles.
a.12+1/4 = 12.25 which is not 15
b.12×1/4 = 3 which is not 15
c.12+1/4×12 = 12 + 3 = 15 which is correct
d.12(1+ 1/4) = 12(1.25) = 15 which is correct
e.12×3/4 = 9 which is not 15
f.12×5/4 = 15 which is correct
Answer: c., d., f
Answer:
3 1/2
Step-by-step explanation:
