Answer:
x = 17
Step-by-step explanation:
A triangle's sum is 180 degrees, hence
6x + 10 + x + 17 + 4x - 34 = 180.
11x + 10 + 17 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
hope this helps and is right!! p.s. i really need brainliest :)
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
B. 64 cubic meters
Step-by-step explanation:
The first rectangle has the dimensions 7 x 2 x 4. 2 x 4 is 8, and 8 x 7 is 56. The square has the dimensions 2 x 2 x 2, which is 8. 56 + 8 is 64, so the answer is 64.
Answer:
y=1/2x+6
Step-by-step explanation:
Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:
y = 1/2x + b
4 = 1/2(-4) + b
4 = -2 + b
6 = b
b = 6
Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6
Answer:
B. 2.77 · 10^28
Step-by-step explanation:
The total number of atoms is ...
(6.02·10^23 atoms/mol)·(4.6·10^4 mol) = (6.02·4.6)·10^(23+4) atoms
≈ 27.7·10^27 atoms
≈ 2.77·10^28 atoms . . . . . . put in scientific notation form
_____
Scientific notation has one non-zero digit to the left of the decimal point and the exponent adjusted accordingly.
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Your calculator can help you figure this out. If necessary, put the display into scientific notation mode. (For numbers this size, it is usually not necessary.)
