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Anton [14]
3 years ago
15

What is the solution to the system of equations below?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

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Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Darya [45]

Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

       If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0
2 years ago
Read 2 more answers
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
Alexandra [31]

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

5 0
3 years ago
I need your help to find the value of x.round to the nearest hundred just the photo ​
True [87]

Answer:

Step-by-step explanation:

1. Cos 52° = adj/hyp

Cos 52° = x/13

x = 13×cos 52°

x = 8.00

2. Sin70° = opp/hyp

Sin70° = 30/x

x sin70° = 30

x = 30/sin70°

x = 31.93

x ≈ 32

3. Tan∅ = opp/adj

Tan∅ = 45/51

Tan∅ = 0.8824

∅ = tan-¹(0.8824)

∅ = 41.42°

∅ ≈ 41°

3 0
3 years ago
Work out the circumference of the circle of 6mm
Darina [25.2K]
<h2>Answer :</h2>
  • Radius = 6 mm
  • Circumference = 2πr
  • = 2×6mm×π
  • =12π mm
  • = 12×3.14 mm
  • = 37.68 mm
3 0
3 years ago
kylie has 80% of the total points possible in her science class. if 350 points are possible, how many points does kylie have?​
enyata [817]

Answer:

280

Step-by-step explanation:

<u>Change percentage into decimal:</u>

80% = 0.80

<u>Find 80% of 350:</u>

350 x 0.80 = 280

6 0
3 years ago
Read 2 more answers
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