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Triss [41]
3 years ago
8

Solve the given system, using the substitution method.

Mathematics
2 answers:
barxatty [35]3 years ago
8 0
The general equation of a line is expressed as:

y = mx + b

We have to write the equations to this form to see whether from there we can conclude something.

y = 3x – 7             (1)
6x – 2y = 12        (2)
-2y = 12 - 6x
y = 3x -6

We can see that both equations have the same slope and different values of y-intercept. Therefore, they are parallel and would never meet. 

The correct answer is option C, there is no solution.

alexandr1967 [171]3 years ago
5 0
Y = 3x - 7 . . . . . (1)
6x - 2y = 12 . . . (2)

Putting (1) into (2) gives
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12

Therefore, there is no solution.
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Jesse used 7/12 of a can of broth in his recipe. Maddy used 2/3 of a same-sized can of broth in her recipe.
Soloha48 [4]
Jesse used less broth
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3 years ago
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What is the prime factors of the numbers 48
Anna35 [415]

Answer:

24,12,6

Step-by-step explanation:

48 is even, so you can factor out 2, your first prime factor

8 0
3 years ago
Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the p
Alla [95]

Answer:

Part A : D.) 2w + 2(2w+ 1) = 29

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = 2w+1

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = 2(2w+1)+2w

we have given the perimeter, so on substituting the value, we get;

29=2(2w+1)+2w

Hence The equation used to find the width is  29=2(2w+1)+2w.

Now we solve for 'w'.

Applying distributive property, we get;

4w+2+2w=29\\\\6w+2=29

Subtracting both side by '2' we get

6w+2-2=29-2\\\\6w=27

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft

Width of the sandbox = 4.5 ft

Length of the sandbox = 2w+1=2\times4.5 +1 = 9+1=10\ ft

Hence Length of the sandbox is 10 feet.

3 0
3 years ago
Hello <br><br> does anyone need any help, im really good at math and i would love to help someone
natta225 [31]
Yes i need help on a problem, can i message you?
7 0
3 years ago
Read 2 more answers
A train leaves at 17.22 and arrives at its destination at 18.14.
sattari [20]

Answer:

64.6 km/h

Step-by-step explanation:

18:14 = 18h 14'

1h = 60'

18h = 17h + 60'

18h14' = 17h + 60' ´14' = 17h 74'

then:

17h 74'

-17h 22'

= 0h 52'

the train travelled 56km at 52 minutes

56km/52minutes

1 hour = 60 minutes

52 minutes = 52/60 = 0.86667 hours

then:

56km/52minutes = 56km/0.86667hours

= 64.615 km/hours

5 0
2 years ago
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