5x(x + 2) - 12x distribute and combine like terms

Answer:

$3.47

the cost of each pen is $3.47

Step-by-step explanation:

subtract the price of notebook from total price

43.73 - 12.50

= 31.23

divide total from number of pens

31.23 / 9

= 3.47

Answer:

-4 and 1

Step-by-step explanation:

-4 times 1 equals -4 and then -4 plus 1 equals 3

The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To find two numbers that satisfy the given conditions, we can set up a system of equations.

Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:

xy = -4 (Equation 1)

x + y = 3 (Equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

From Equation 2, we can express y in terms of x: y = 3 - x.

Substituting this into Equation 1, we get:

x(3 - x) = -4

Expanding and rearranging the equation, we have:

3x - x² = -4

Rearranging again, we get a quadratic equation:

x² - 3x - 4 = 0

We can factor this equation:

(x - 4)(x + 1) = 0

Setting each factor to zero, we find two possible solutions for x:

x - 4 = 0 --> x = 4

x + 1 = 0 --> x = -1

Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 4: y = 3 - 4 = -1

For x = -1: y = 3 - (-1) = 4

Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ6

Answer:

60

Step-by-step explanation:

All angles in a triangle equal 180

you already have Angles A (30) and C (90)

Set your formula up as

180-30-90=B

60=B

Answer:

15

Step-by-step explanation:

In other words, only choice A and choice D are false.

====================================================

Explanation:

An included angle is one between two given sides. Think of the angle sandwiched in between.

For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.

In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.

------------------------

For choices D through F, we'll just take this logic in reverse.

The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.

Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.

------------------------

Overall, we have four true statements and they are choices B, C, E and F.

Step-by-step explanation:

It helps to draw a picture but also write what you are given

The square measures 7ft on all sides

youre paying by the square foot

to get square feet, use L x W

so 7ft x 7ft = 49 ft^2

so if we are charged $7 for 1 ft^2, then you add $7, 49 times

So youd write and solve

7 + 7 + 7 + 7 +... + 7 = $7 x 49ft^2

Answer:

Your answer is -6

Step-by-step explanation:

The answer is 1.829365

Step-by-step explanation:

3/4+6/7+2/9=1.83

Answer:

461/252

Step-by-step explanation:

See the steps below:)

Answer:

Quesiton is not clear. here is the asnswer basing on our understand

Step-by-step explanation:

(8-32)3 = (-24*3) = =72

Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

Answer:

y= -2/5x + 5

Step-by-step explanation:

Answer:

y=-2/5x+5

is the answer

Answer:

When x =4 y=12

Step-by-step explanation:

Inverse variation is

xy = k  where k is a constant

y =3 and x = 16

3*16 = k

48 = k

The equation is

xy = 48

Now let x = 4

4y = 48

Divide each side by 4

4y/4 = 48/4

y = 12

When x =4 y=12

Answer:

1679616

Step-by-step explanation:

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

Answer:

[tex]0.35[/tex]

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over  100  Percentage means 'out of  100 '.

[tex]\frac{35}{100}[/tex]

Cancel the common factor of 35  and  100 .

[tex]\frac{7}{20}[/tex]

Convert the fraction to a decimal by dividing the numerator by the denominator.

[tex]0.35[/tex]

Answer:

0.35

Step-by-step explanation:

ywhdhxjahsjxhdjwjwjwjw is .35

Taking point (0,-2) of graph one and replacing in the equation;

2x+3y=6

2(0)+3(-2)=6

-6=6

So graph isn't the required graph.

Taking point (0,2) of graph 2;

2x+3y=6

2(0)+3(2)=6

6=6

So, graph 2 is the required graph.

Answer:

nice

Step-by-step explanation:

T = 60°

Step-by-step explanation:

Angle S = 180° - 150° = 30°

Angle U = 90°

Therefore, angle T is given by

S + U + T = 180

30° + 90° + T = 180°

or

Angle T = 60°

1- False

2- False

3- False

4-False

Answer:

Example 1: The PIN code is an example when order is important. The PIN code 1234 is different from the PIN code 4321. When selecting more than one item without replacement and order is important, it is called a Permutation. When order is not important, it is called a Combination.

Step-by-step explanation:

When we hear the word "combination" in our daily life, we immediately think about the collection of things in the form of a set or a group. For instance, if anyone says that my bowl has a combination of apples, carrots, and bananas, then we immediately think that the bowl has three items. We are not concerned with the order in which these three things were put in the bowl. In mathematics, the combination means the number of ways in which different objects are combined to form a set.

Answer:

so the other guy can get brainlest ur welcome

Step-by-step explanation:

The given triangle is a Right angled triangle,

By applying trigonometry :

[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

1

Step-by-step explanation:

the degree of 3x-6 is 1

Answer:

k = 1/5

Step-by-step explanation:

We know the formula y = kx

Using one of the points and substituting y and x

12 = k(60)

Divide each side by 60

12/60 = k*60/60

1/5 = k

Answer:

1/3

Step-by-step explanation:

its 1/3 because if you start from 3 to up its counting by 3 and in fractions you can write 1/3 which is not a whole but its to 3

Answer:

x=1/4

Step-by-step explanation:

1/4+3/4=1 whole

Answer:

[tex]x = \frac{1}{4}[/tex]

Step-by-step explanation:

Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1

[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]

Therefore, the point could be [tex]\frac{1}{4}[/tex]

Answer:

[tex]A = 100^o[/tex]

[tex]B = 43.0^o[/tex]

[tex]C =37.0^o[/tex]

Step-by-step explanation:

Given

[tex]A = 100^o[/tex]

[tex]b = 51[/tex]

[tex]c =45[/tex]

Required

Complete the triangle (See attachment)

First, calculate side a using cosine's equation

[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]

[tex]a^2 = 51^2 + 45^2 -2*51*45 \cos (100^o)[/tex]

[tex]a^2 = 4626 -4590 *-0.1736[/tex]

[tex]a^2 = 4626+ 796.8[/tex]

[tex]a^2 = 5422.8240[/tex]

Take square roots

[tex]a = 73.6398[/tex]

The measure of B and C can then be calculated using sine's equation

[tex]\frac{a}{\sin A} =\frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

So:

[tex]\frac{73.6398}{\sin (100)} =\frac{51}{\sin B}[/tex]

[tex]\frac{73.6398}{0.9848} =\frac{51}{\sin B}[/tex]

Cross multiply

[tex]\sin B * 73.6398 = 51 * 0.9848[/tex]

[tex]\sin B * 73.6398 = 50.2248[/tex]

Solve for sin B

[tex]\sin B = \frac{50.2248}{73.6398}[/tex]

[tex]\sin B = 0.6820[/tex]

Take arc sin of both sides

[tex]B = \sin^{-1}(0.6820)[/tex]

[tex]B = 43.0^o[/tex]

To calculate C, we make use of:

[tex]A + B + C = 180^o[/tex] --- angles in a triangle

[tex]100 + 43 + C = 180[/tex]

[tex]143 + C = 180[/tex]

Collect like terms

[tex]C =180-143[/tex]

[tex]C =37.0^o[/tex]