what are the common factors of 42 and 28

A.1,2,4,7,14

B. 1,2,6,7,14

C. 1,2,4,6,7,14

D. 1,2,7,14



Need help ASP

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:

You have $00.01

Step-by-step explanation:

100-99.99=0.01

Answer:

A cent.

Step-by-step explanation:

100 - 99.99 = 0.01

You would have $0.01, or a cent, left.

Hope this helps.

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:

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:

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:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

Answer:

at mile 160, both will cost 300

Answer:

Square

Step-by-step explanation:

Answer:

212 ones

Explaination:

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

Answer:

180 pesos

Step-by-step explanation:

divide 900 by 5

Answer:

i want some kitty Kat

Answer:

Option (2)

Step-by-step explanation:

Given trigonometric expression is,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]

This expression is in the form of an identity,

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,

[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]

                                                  = cos[tex](\frac{11\pi+3\pi}{21})[/tex]

                                                  = cos[tex](\frac{14\pi}{21})[/tex]

                                                  = cos[tex](\frac{2\pi}{3})[/tex]

                                                  = -[tex]\frac{1}{2}[/tex]

Therefore, Option (2) will be the answer.

Answer:

B. -1/2

Step-by-step explanation:

on edge

Answer:

anor soi sena orka uzumo senda?

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:

[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.

We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can clearly identify the following points in the green line: (0,4) (5,0):

[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]

Now we have the slope and the point, the equation of the line is:

[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]

[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]

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: 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:

tn=9+3(n-1)

Step-by-step explanation:

Formula: tn=t1+d(n-1)

AKA: term n=term 1 plus common difference times n minus 1

For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1

Plug in the answer: tn=9+3(n-1)

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.

Step-by-step explanation:

Here is your answer in the screen shot please check there

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:

2(4x+x)

Step-by-step explanation:

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: