What is 9% of 31? Do not round, write the exact amount

Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center   point can be used to  have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Answer:

For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,

Step-by-step explanation:

Answer: The slope is -2.

Step-by-step explanation:

Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.

The equation of a proportional line says that  y = kx  where k is the slope.

And to find k, you will divide y by x.

One point that is located on the line is  (-1,2)  The y coordinate is 2 and the x coordinate is -1.

Divide 2 by -1 to find the slope.

2/-1= -2  

This means the slope is -2.

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

anor soi sena orka uzumo senda?

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]

from (i), [tex]x=84-4y-2z[/tex]    (*)

put this in (ii) and (iii) we get

[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]

from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]

[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]

[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]

[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]

[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]

[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]

[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Answer:

$400

Step-by-step explanation:

If you go to the left of the graph from the line, it gets you to 400.

Answer:

$400

Step-by-step explanation:

Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!

Step-by-step explanation:

Answer:

the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

Answer:

at mile 160, both will cost 300

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

Answer:

He has 22 students

Step-by-step explanation:

45 divided by 2 is 22 with 1 left over

15.50 x 20 = $310

31 x 8 = $248

310 + 248 = $558

Her total pay for the week is $558.

Hope you got a good grade!!! :)

Answer:

i want some kitty Kat

Answer:

3

Step-by-step explanation:

The slope is positive since it goes from the bottom left to top right so 3 is the only choice

Answer: 3

Step-by-step explanation:

The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).

Answer:

180 pesos

Step-by-step explanation:

divide 900 by 5

Answer:

it is either 23 or 24 its kinda hard to tell.

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The expression is equal to 12.

Step-by-step explanation:

[tex]-24-(18 / 6)*(-12)[/tex]

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

[tex]-24-(18 / 6)*(-12)[/tex]

[tex]-24-(3)*(-12)[/tex]

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

[tex]-24-(3)*(-12)[/tex]

[tex]-24-(-36)[/tex]

Since subtracting a negative number is the same as adding a positive number:

[tex]-24-(-36) = -24+36[/tex]

Compute the addition:

[tex]-24+36=12[/tex]

[tex]-24-(18 / 6)*(-12) = 12[/tex]

Answer: The expression is equal to 12.

Answer:

212 ones

Explaination:

If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.

Answer:

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

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        [tex]\frac{-12x}{-12}[/tex]   = [tex]\frac{-3}{-12}[/tex]

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

Step-by-step explanation:

Here is your answer in the screen shot please check there

Answer:

i can't see the full question

Step-by-step explanation:

Step-by-step explanation:

Okay, so we know that exponents mean a number times itself.

Numerator: 4x4x4x4x4x4x4= 16,384

Denominator: 4x4x4x4x4= 1,024

Now, since it is a fraction, we divide the two.

16,384/1,024= 16

Thus, your answer is 16 ;)

Answer:

x= 1.66 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x=x−5

Step 1: Subtract x from both sides.

−2x − x = x − 5− x

−3x=−5

Step 2: Divide both sides by -3.

-3x/-3=-5/-3

Answer:

x=1.66 repeating

Answer: x=3.500

Step-by-step explanation:  product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

   2x-7 = 0  

Add  7  to both sides of the equation :  

                     2x = 7

Divide both sides of the equation by 2:

                    x = 7/2 = 3.500

Answer:

Step-by-step explanation:

5x498x56=139,440

Answer:

2(4x+x)

Step-by-step explanation: