The total amount of sodium in 2 hot dogs and 3 cups of cottage cheese is 4,720mg. the total amount of sodium in 5 hot dogs and 2 cups of cottage cheese is 6,300mg. how much sodium is in a hot dog? how much sodium is in a cup of cottage cheese?

Amount of sodium in a hot dog = 860 mg.

Amount of sodium in a cup of cottage cheese = 1000 mg.

Step-by-step explanation:

Let the amount of sodium in a hot dog be x mg and the amount in a cup of cottage cheese be y mg.

2x + 3y = 4720

5x + 2y = 6300

Multiply the first equation by 2 and the second by 3. We get:

4x + 6y =    9440         (a)

15x + 6y = 18900       (b)

Subtract: (b) - (a):

11x =  9460

x = 9460 / 11 = 860 mg.

To find we we substitute x = 860 in the first original equation:

2(860) + 3y = 4720

3y =  3000

y  = 1000 mg.

the answer is b.)

< 1=< 2

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4