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svetlana [45]
3 years ago
6

12(x - 1) = - 4(3-X) + 8x

Mathematics
1 answer:
Dimas [21]3 years ago
8 0

This equation has infinite solutions, any real number makes it true.

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The diagonal of a cube is 28 cm. Identify the length of an edge. Round to the nearest tenth, if necessary. HELP PLEASE!!
makkiz [27]

Answer:

16.2\ cm

Step-by-step explanation:

we know that

The diagonal of a cube is equal to

D=b\sqrt{3}

where

b is the length of an edge of the cube

we have

D=28\ cm

substitute

28=b\sqrt{3}

b=28/\sqrt{3}=16.2\ cm

8 0
3 years ago
On a trip, Duke encounters some road construction that slows him down. While he is able to go 60 mph on the highway and 40 mph t
natulia [17]

Answer:

Time taken by Duke on the highway = 3 hours

Time spent on the construction = 6 hours

Time spent in the city = 2 hours

Step-by-step explanation:

Speed by which Duke travels a distance on highway d_1 = 60 mph

Let the time taken to travel on highway = t_1 hours

Distance traveled = 60t_1 miles

Speed in the city = 40 mph

Let the time taken = t_2 hours

Distance traveled in the city = 40t_2 miles

Speed on the construction = 20 mph

Let the time spend on the construction = t_3 hours

Distance traveled on the construction = 20t_3 miles

Since, total distance covered = 380 miles

d_1+d_2+d_3=60t_1+40t_2+20t_3

He spends one half the time on the highway as he does on the construction,

t_3=2t_1

Total time spent in the trip = 11 hours

Therefore, t_1+t_2+t_3=11

t_1+t_2+2t_1=11

t_2=11-3t_1

From equation (1),

60t_1+40(11-3t_1)+20(2t_1)=380

60t_1-120t_1+40t_1+440=380

440-20t_1=380

20t_1=440-380

t_1=\frac{60}{20}

t_1=3 hours

t_2=11-3t_1=2 hours

t_3=2t_1=6 hours

Therefore, time taken by Duke on the highway = 3 hours

Time spent on the construction = 6 hours

Time spent in the city = 2 hours

3 0
3 years ago
What is 33.5 % as a Decimal and a fraction?
Stolb23 [73]

p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}

Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}

5 0
3 years ago
Read 2 more answers
How to to this problem
bulgar [2K]
Can you post a clearer picture?
7 0
3 years ago
Answer : 1 x 1 = 1 1 x 2 = 2
Flauer [41]

Answer:

Thanks

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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