solve the equation by combining like terms: 3x-5+12-2x=12

Answer:

x=60

Step-by-step explanation:

my dad is a math teacher so I am good at math. I also used a calculator

Answer:

$220 dollars

Step-by-step explanation:

a = p * w (the percentage formula)

subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)

286 = 1.30 * w

solve.

w = 220

Answer:

x = 0

x = (-1/2,0)

Step-by-step explanation:

Answer:

m<ACB = 60°

Step-by-step explanation:

B is a right angle, so its 90°

180-150=30°

180-90=90°

90+30= 120°

180-120= 60°

30+60+90= 180°

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

137

Step-by-step explanation:

Add 80 and 57.

Answer:

720

Step-by-step explanation:

60×12=720 so the monthly yearly coast would be 720

Answer: ↓↓↓

Step-by-step explanation:

Slope intercept formula: y = mx + b

Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5

Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5

Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4

Answer:

a = w/p

Step-by-step explanation:

To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.

Answer:

a = w/p

Explanation:

Step 1: Multiply both sides by a.

ap = w

Step 2: Divide both sides by p.

ap/p = w/p

a = w/p

Answer: x = 13

Step-by-step explanation:

To find the value of x, you have to find ∠QRP

∠QRP + ∠QRS = 180

∠QRP + 95 = 180

Subtract 95 from both sides

∠QRP = 85

∠RQP + ∠QPR + ∠QRP = 180   Definition of triangle

(4x + 3) + (3x + 1) + 85 = 180

Subtract 85 from both sides

(4x + 3) + (3x + 1) = 95

7x + 4 = 95

Subtract 4 from both sides

7x = 91

Divide 7 from both sides

x = 13

Answer:

Wizard or the devil

Step-by-step explanation:

Answer:

The devil

[tex]el \: diablo[/tex]

Answer:

Yes

Step-by-step explanation:

The order is switched from boys to girls(5 to 2)to girls to boys (2 to 5).

Answer:

y= -x-3

Step-by-step explanation:

A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.

We get...

y= -x+b

1= -(-4)+b

1=4+b

b=-3

Our final equation is y=-x-3

Hope this helped

Answer:

The afternoon temperature is

5°

Step-by-step explanation:

Step one:

given data

the morning temperature=  -15°

the afternoon temperature rose by  20°

Required

The afternoon temperature

Step two:

Hence the afternoon temperature is given as

=-15°+20°

= 5°

Answer:

x=1 y=10

Step-by-step explanation:

5x+y=15

2x+y=12

y=12-2x

5x+12-2x=15

3x=3

x=1  

5+y=15

y=10

Answer:

9 kids

Step-by-step explanation:

Answer:

B -4 A-7 C 0.5 D 2 E3 then F 11

Step-by-step explanation:

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

The required measure of the angle x is given as 18°.

Given that,
A side of the triangle below has been extended to form an exterior angle of 66°

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°

Thus, The required measure of the angle x is given as 18°.

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Answer:

Activity 1:-

1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So

[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]

[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).

2) Area of a parallelogram = Altitude × Base

Base = 10 cm. So ,

[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).

3) Let the fare of 1 unit distance be f

So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).

4) Let the distance be 'D' , speed be 's' & time be 't' .

We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).

5) We know that area of a square (A) = side² (s²)

[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).

Activity 2:-

1) p is directly proportional to sum of u & w.

⇒ p ∝ u + w

⇒ p = k (u + w)

Putting the values of p , u & w

⇒ 14 = k(4 + 3)

⇒ 7k = 14

⇒ k = 14/7 = 2

2) r is directly proportional to square of t.

⇒ r ∝ t²

⇒ r = k × t²

Putting the values of r & t

⇒ 16 = k × 16²

⇒ k = 16² ÷ 16 = 16

3) y is directly proportional to cube root of x.

⇒ y ∝ ∛x

⇒ y = k × ∛x

Putting the values of x & y ,

⇒ 2 = k × ∛27

⇒ 3k = 2

⇒ k = 2/3

4) z is directly proportional to cube of d.

⇒ z ∝ d³

⇒ z = k × d³

Putting the values of d & z ,

⇒ 5 = k × 2³

⇒ 8k = 5

⇒ k = 5/8

5) Total Surface Area (SA) is directly proportional to square of the sides (s).

⇒ SA ∝ s²

⇒ SA = k × s²

Putting the values of SA & s ,

⇒ 96 = k × 4²

⇒ 16k = 96

⇒ k = 96/16 = 6

Answer: 3.4%

Step-by-step explanation:

divide 258 and 74 then round that answer to the nearest tenth place.

Answer:  28.7%

Step-by-step explanation:

74 ÷ 258 = 0.2868

0.2868 --->  28.68  --->  28.7%

Answer: 5x4=20

And 5+4=9

Step-by-step explanation:

The required two numbers are 4 and 5.

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

From equation (ii) we have,

a = 9 - b                    ...............(iii)

Substitute above value of 'a' in equation (i),

⇒ (9 - b) × b = 20

⇒ 9b - b² = 20

⇒ b² - 9b + 20 = 0

Now we solve this quadratic equation to find b.

⇒ b² - 9b + 20 = 0

⇒ b² - 5b - 4b + 20 = 0

⇒ (b - 5) (b - 4) = 0

⇒ b = 5 or   b = 4

Find the value of 'a' from equation (iii)

When b = 5

⇒ a = 9 - 5

⇒ a = 4

When b = 4

⇒ a = 9 - 4

⇒ a = 5

Therefore, the required two numbers are 4 and 5.

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Answer:

Step-by-step explanation:

Given function:

To find

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

Solving for b:

See attached

Answer: c

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

8 ft in 15 sec

16 ft in 40 sec

8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs