Is c=5t proportional or nonproportional

What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)

X*a = 244 is equation (1)
x+a = 2 is equation (2)

Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)

We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x

Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0

If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0

So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here.

If you have learned about complex numbers, then the solution set is approximately
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula

Note: it's possible that there's a typo somewhere in the problem that your teacher gave you.

6 0

3 years ago

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Which pairs of angles in the figure below are virtual angles? Check all that apply

Sav [38]

Can you provide a picture of the angles? Thanks <3

7 0

3 years ago

20. SAILING On a sailing trip, each passenger needs a

inn [45]

Expression in simplest form represents the weigt

8 0

2 years ago

6 numbers form an arithmetic sequence with a common difference of 4. THe sum of these numbers equals 12. What are the 6 numbers.

frutty [35]

Answer: See explanation

Step-by-step explanation:

We will use the formula for an arithmetic sequence which will be:

a + (n - 1)d

where a = unknown

n = 6

d = 4

We then slot them into the formula

a + (6 - 1)4 = 12

a + 5(4) = 12

a + 20 = 12

a = 12 - 20

a = -8

The 6 numbers are

1st term = -8

2nd term = -8 + 4 = -4

3rd term = -4 + 4 = 0

4th term = 0 + 4 = 4

5th term = 4 + 4 = 8

6th term = 8 + 4 = 12

5 0

2 years ago