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ikadub [295]
4 years ago
13

Simplify these expressions

Mathematics
1 answer:
Xelga [282]4 years ago
6 0
\frac{10a}{2} \\ \\ 5a \\ \\

The answer is: 5a

-----------

\frac{36b}{6b} \\ \\  \frac{36}{6} \\ \\ 6 \\ \\

The answer is: 6

------------

\frac{16c^2}{8c} \\ \\ 2c^{2-1} \\ \\ 2c^1 \\ \\ 2c \\ \\

The answer is: 2c

------------

\frac{18ab^2}{2b} \\ \\ 9ab^{2-1} \\ \\ 9ab^1 \\ \\ 9ab \\ \\

The answer is: 9ab

------------

\frac{40b^2c^2}{5bc} \\ \\ 8b^{2-1} c^{2-1} \\ \\ 8b^1c^1 \\ \\ 8bc^1 \\ \\ 8bc \\ \\

The answer is: 8bc

-----------

\frac{63ab^2c^3}{7b^2c^2} \\ \\  \frac{63ac^3}{7c^2} \\ \\ 9ac^{3-2} \\ \\ 9ac^1 \\ \\ 9ac \\ \\

The answer is: 9ac
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Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
natima [27]
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
3 years ago
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matrenka [14]

tax because the tax shows you what you paid and ect

3 0
3 years ago
In the diagram below, the horizontal lines are parallel. Find the value of x
marta [7]

Answer:

128

Step-by-step explanation:

180 - 52

5 0
3 years ago
Suppose a triangle has to size of lint 42 and 35 and the angles between these 2 sides is 120 which equated should you solve to f
Brilliant_brown [7]

Answer:

7\sqrt{91}\ units or 66.78\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2abcos(C)

In this problem we have

a=42\ units, b=35\ units, C=120\°

c is the length of the third side

Substitute

c^{2}=42^{2}+35^{2}-2(42)(35)cos(120\°)

c^{2}=1,764+1,225-2,940cos(120\°)

c^{2}=4,459

c=\sqrt{4,459}\ units

c=7\sqrt{91}\ units or c=66.78\ units

5 0
3 years ago
Tamia's family traveled 5/8 of the distance to her grandfather's house on Saturday. They traveled 1/3 of the remaining distance
antoniya [11.8K]

Answer:

2/8

Step-by-step explanation:

Tamila traveled 5/8 of the distance to her grandmother house on Saturday

They traveled 1/3 of the remaining distance on Sunday

Therefore the total distance traveled to her grandmother's house on Sunday can be calculated as follows

5+1

= 6

8-6

= 2

2/8

Hence the distance travelled is 2/8

8 0
3 years ago
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