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tester [92]
3 years ago
15

Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

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The radius of a circular track is 0.2 miles ellie ran around the track 3 times how many kilometers round to the nearest whole mi
balu736 [363]

Answer:

4 miles to the nearest mile.

Step-by-step explanation:

Circumference of the track = 2 pi r

= 2*pi*0.2 = 1.257  miles

Ellie ran 3 times around the track so

the distance she ran is 3* 1.257

=  4 miles

6 0
3 years ago
25t - 87.5 = 12.5<br> What is the answer
patriot [66]
The answer is:t=4 You welcome
5 0
3 years ago
Read 2 more answers
Helo me please please ​
drek231 [11]

i) Area = length x width

=250 x 100

= 25000 cm2

ii) it is a square so the sides are equal

Area = 10 x 10

= 100cm2

iii) 25000/100

250 tiles will be needed

Iv) one tile is 4.75 dollars

Total tiles are 250

Cost for tiling

=250 x 4.75

=1187.5

Hope this helps

6 0
3 years ago
Read 2 more answers
Lots of equations that equal 420? Anybody know some? 
creativ13 [48]
If we do it algebraically, we get

x + y = 420

This is the simplest equation. You see now this is a linear pair in two variables. Thus, there will be infinitely many solutions.

E.g - 419 + 1 = 420

42 * 10 = 420
21 * 20 = 420

etc,....
4 0
3 years ago
Read 2 more answers
If a drug's recommended dose is 5 mg/kg, and a solution contains a concentration of 2 mg/mL of the drug, what volume of the solu
Luba_88 [7]

Answer:

Option B. 9 ml.

Step-by-step explanation:

Recommended dose of a drug = 5 mg/kg body weight.

weight of the cat = 8 lb

1 lb = 0.4536 kg.

8 lb = 0.4536 × 8 = 3.6288 kg. ≈ 3.6 kg

A solution contains a concentration of 2 mg/ml

so recommended dose for 3.63 kg = 5mg × 3.6 = 18 mg

∵ 1 ml. contains a concentration = 2 mg

∴ for 18 mg concentration dose will be = 18/2 = 9 ml

9 ml of the solution should be given to a cat.

Option B. 9 ml.

4 0
3 years ago
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