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Anna71 [15]
2 years ago
10

If you add​ Natalie's age and​ Fred's age, the result is 36. If you add​ Fred's age to 4 times​ Natalie's age, the result is 72.

Write and solve a system of equations to find how old Fred and Natalie are.
Mathematics
2 answers:
kozerog [31]2 years ago
7 0

The known facts

  • the sum of Natalie's age and Fred's age is 36
  • the sum of Fred's age times four and Natalie's age is 72

Now, let's set up the equations where N is Natalie's age and F is Fred's age.

N + F = 36   ---- equation 1

N + 4F = 72 ---- equation 2

equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24

Thus Fred is 12 years old, and Natalie is 24 years old.

Alex73 [517]2 years ago
5 0

Answer:

in this problem, we are going to translate our words into a mathematical equation, solve the equation and then answer the question. So we have, the father is three years older than the mother, so is three, is our answer there for this equation. So if we take the oldest minus the youngest, It would give us a difference of three. So since the father is older, we're going to say the father's age minus the mother's age is three, So we know that the mother is 42 years old, So the father minus the 42 would give us three. So to solve for F, we're going to use the addition property of equality and add 42 to both sides. So F -40 to plus 42 is F and Add 42 to both sides, and three plus 42 is 45. So this means that the father is 45 years old.

Step-by-step explanation:

Mark me brainliest!!

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Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

8 0
3 years ago
Read 2 more answers
Solve 7x - 2z = 4- xy for x.
ExtremeBDS [4]

Answer:

0

Step-by-step explanation:

7x + -2z = 4 + -1xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'xy' to each side of the equation.

7x + xy + -2z = 4 + -1xy + xy

Combine like terms: -1xy + xy = 0

7x + xy + -2z = 4 + 0

7x + xy + -2z = 4

Add '2z' to each side of the equation.

7x + xy + -2z + 2z = 4 + 2z

Combine like terms: -2z + 2z = 0

7x + xy + 0 = 4 + 2z

7x + xy = 4 + 2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + 2z + -4 + -2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + -4 + 2z + -2z

Combine like terms: 4 + -4 = 0

-4 + 7x + xy + -2z = 0 + 2z + -2z

-4 + 7x + xy + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0

-4 + 7x + xy + -2z = 0

8 0
3 years ago
I need help plzzzzzzzzzzzzzzzzzzzzz
blagie [28]

Answer:

Step-by-step explanation:

Start box

180 = 89+42+x

180-89-42=x

49 = x

2nd box

180 = 84+58+x

180-84-58=x

38 = x

3rd box

180=74+2x

180-74=2x

106/2 = x

53 = x

4th box

180=102+2x

180-102=2x

78/2 = x

39 = x

4th box

180 = 73+81 +x

180-73-81=x

26 = x

5th box

180=2*54+x

180 - 2*54 = x

72 = x

6th box

180=62-2x

180-62=2x

118=2x

118/2=x

59 = x

7th box

180 = 2*68 + x

180-2*68=x

44 = x

3 0
2 years ago
In a particular triathlon the athletes cover 1/24 of the total distance by
pav-90 [236]

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

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3 years ago
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