A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

315 beads

Step-by-step explanation:

The question above is calculated as:

25 necklaces = 375 beads

21 necklaces = x beads

Cross Multiply

25x = 21 × 375

x = 21 × 375/25

x = 7875 / 25

x = 315 beads

Hence, Jared used 315 beads to make 21 necklaces yesterday

Answer:

Step-by-step explanation:

Sorry for the bad handwriting :(

Answer:

Marsha earned interest = $850

Step-by-step explanation:

Amount deposited = $8500

Time = 2 years

Interest rate = 5% = 0.05

We need to find how much did Marsha earn in interest

The formula use is: [tex]I=P\times r \times t[/tex]

Where I is interest earned, P is amount deposited, r is interest rate and t is time.

Putting values and finding interest.

[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]

So, Marsha earned interest = $850

Answer:

y = 9-4/3x

Step-by-step explanation:

subtract 4x from both sides

divide by 3

Answer:

The first one is the correct one

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)

If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)

From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4)  as the center of enlargement.. Hence the new points are:

For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)

For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)

For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)

Answer:

Formula: length x width

Area: 51 km

Step-by-step explanation:

Area: length x width

Area: 17 x 3 = 51

Answer:

For the forumula its Area= LW (Length and width)

A= 51km

If you are trying to find the perimeter, it should be 40.

Answer:

It's 155

Step-by-step explanation:

Since the whole angle is 180

And u got 25

So 180-25=155

Answer:

155

Step-by-step explanation:

a+25=180

a. =180-25

a. = 155

Answer:

12 shamrocks

6 lbs

3/4 =6/8

Step-by-step explanation:

Answer:

200 acres

Step-by-step explanation:

plz mark brianliest

because you have on tractor going 20 in 4hours you multiply by five giving you 100 and then times 2 because the hours are doubled

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

Answer:

D

Step-by-step explanation:

Answer:

hats = 5

mittens = 12

Step-by-step explanation:

hats = h

mittens = m

Uknown:

- How many hours per hats

- How many hours per mittens

Known:

- How many hours in total

- How many pairs of mittens made

- How many pairs of hats made

4h + 3m = 56

3h + 1m = 27

3h + m = 27

m = -3h + 27

4h + 3m = 56

4h + 3(-3h + 27) = 56

4h - 9h + 81 = 56

-5h = 56 - 81

-5h = -25

-5h/5 = -25/5

-h = -5

-h/-1 = -5/-1

h = 5

3h + m = 27

3(5) + m = 27

15 + m = 27

m = 27 - 15

m = 12

Check: h = 5, m = 12

4h + 3m = 56

3h + 1m = 27

4h + 3m = 56

4(5) + 3(12) = 56

20 + 36 = 56

56 = 56

3h + 1m = 27

3(5) + (12) = 27

15 + 12 = 27

27 = 27

Step-by-step explanation:

Marta put $4.89 in her coin bank.

Each day she added 1 quarter, 1 nickel, and 6 pennies.

We know that,

1 quarter = 25 cents

1 nickel = 5 cents

1 penny = 1 cent

⇒ 6 pennies = 6 cent

Total amount added in 6 days,

= 25 cents + 5 cents + 6 cent

= 36 cents

We know that,

1$ = 100 cents

36 cents = $0.36

Total money in her bank,

= $4.89 + $0.36

= $5.25

Hence, this is the required solution.

Answer:

x=-2

Step-by-step explanation:

Answer:

16.7%

Step-by-step explanation:

Answer:

Any fraction with the same number on both the top and bottom

Step-by-step explanation:

example: 1/1 and 2/2

Answer:

2/2, 10/10

Step-by-step explanation: They all equal one

The answer is 15 cm

39 cm, 15 cm, 36 cm

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

Answer:

7.3≤x<7.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of angles in a triangle =180

73+x+x-11=180

73+2x-11=180

62+2x=180 we subtract 62 from both side so we can solve for x

2x=180-62

2x=118

x=59

the other angle is 59-11=48

Answer:

59=x

all angles =180

2x+62=180

2x=118

x=59

Answer:

not similar bcs side are not in ratio

Answer:

8-√5

I hope this is good enough:

The conjugate of a two-term expression is just the same expression with subtraction switched to addition or vice versa.

Answer:

44

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:

x + y = 12

x - y^2 = 0

Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.

x + y = 12

-x + y^2 = 0

By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.

y = (-B +/- sqrt(B^2–4AC))/2A

This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.

Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.

As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.

Answer:

0.65:1

Step-by-step explanation: