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3 years ago

Fran is three times as old as Nancy. In four years, she'll be twice as old as Nancy. How old is each now?

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

Nancy is 4
frans is 12

Blizzard [7]3 years ago

7 0

Answer:

Fran is 12, Nancy is 4

Step-by-step explanation:

Let Fran - f and Nancy - n

The ages at present:

f = 3n

In four years:

f + 4 = 2(n + 4)

Simplify and substitute f:

f + 4 = 2n + 8
f = 2n + 4
3n = 2n + 4
n = 4

Find f:

f = 3*4 = 12

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Answer: 1, 5, 2

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3 years ago

Read 2 more answers

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

Sladkaya [172]

Answer:

Part A: The length of each side is $3x-2$ units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> $9x^2-12x+4$

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0

3 years ago

Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o

vlada-n [284]

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4 (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151 (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249

6 0

3 years ago

Circle the value that solutions of the inequality 2x - 3 < -9

velikii [3]

Answer:

x < -3

Step-by-step explanation:

2x - 3 < -9

Add 3 to each side

2x - 3+3 < -9+3

2x < -6

Divide by 2

2x/2 < -6/2

x < -3

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3 years ago

PLEASE HELP IT'S DUE IN LIKE 20 MINUTES

Alexeev081 [22]

9514 1404 393

Answer:

x +3x = 180
x = 45 . . . . . . . choice C
3x = 135 . . . . . choice F

Step-by-step explanation:

Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.

x + 3x = 180 . . . . . . . . . equation for finding the angle

x = 180/4 = 45 . . . . . . divide both sides by 4

3x = 3(45) = 135

The first angle is 45°. The second angle is 135°.

4 0

3 years ago