A teacher bought packages of 6 pens in each package. Another teacher bought packages of 8 pens in each package. If the teachers ended up buying the same number of pens, what is the least number of pens they could have?

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

Answer:

A) 12-10

B)36+225

Step-by-step explanation:

A) 3x4=12, 5x2= 10= 12-10

B) 3x2=6x6=36, 3x5=15x15=225=36+225

For x = 3 and y = 5 the values of the given expressions are (a) 4x - 2y = 2 and (b) 2x² + 3y² = 93.

Substitution is a mathemaical technique for replacing variables with specific or covnient values according to the context.

When the values of variables are given to solve an equation we just have to replace those numerical values in place of the given variables.

Given, x = 3 and y = 5.

∴ 4x - 2y is,

= 4(3) - 2(5).

= 12 - 10.

= 2.

And

2x² + 3y².

= 2(3²) + 3(5²).

= 2(9) + 3(25).

= 18 + 75.

= 93.

learn more about substitution here :

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Answer:

The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].

Step-by-step explanation:

By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).

Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].

Answer:

280m to the power of 2

Step-by-step explanation:

Answer:

8+2x/5=2

2x/5=2-8

2x/5=-6

2x=-6x5

2x=-30

x=-30/2

x=-15

Step-by-step explanation:

Answer:

33-27

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

you do what is in the parentheses then do 33-27 which is 6

Answer:

y=5/2x

Step-by-step explanation:

the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.

Answer:

im pretty sure 20 seconds

Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

I don't think you need to show work

Answer:

it would 41 amiright?

Answer:

4-1=3

Step-by-step explanation:

hope it helps and have a great day :)

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5

Answer:

the slope is undefined

Step-by-step explanation:

[tex]m = \frac{-9 - 8}{7-7} \\m = \frac{-17}{0 }\\m = DNE[/tex]

Answer:

b=5

Step-by-step explanation:

Answer:

b=5

Step-by-step explanation:

Not copying....

have a nice day

Answer:

x=250?

Step-by-step explanation:

you being vague bro

Answer:

2,4 is indeed correct on edg.

Graphs that show a linear function is second option

The linear equation graphs are the equation of straight line graph with slope.

for example y = mx  where (x,y) be the point on the line and m be the slope.

here the only second graph shows a straight line graph. y values changes by when x value changes. there is a slope.

when we a x value we can compute the corresponding y value.

Step-by-step explanation:

Answer:

Answer is 104

Step-by-step explanation:

The selling price of the coat is $104.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $200

Selling price.

= 52% of $200

= 52/100 x 200

= $104

Thus,

$104 is the selling price of the coat.

Learn more about percentages here:

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Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

                                = 3(32) - 17

                                = 96 - 17

                                = 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

Answer

i am going to give you 2 answer

1. solving for A is:  A=3/5 -b

2. solving for B is:  B=3/5 -a

Step-by-step explanation:

correct me if I'm wrong

let me know if it's correct or not

Answer:

soo what is the answer

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

25+ (4.5 x 8)

25+ 36

=61.

She needs 8 visits

Answer:

8

Step-by-step explanation:

61 - 25 = 36

36 divided by 4.5 = 8

Answer:

16

Step-by-step explanation:

4*2*2

8*2

16

Answer:

B. √6

Step-by-step explanation:

Irrational number is a number that cannot be expressed in a form of fraction

2.5 = 5/2

√6 = 2.49...

1/2 = 1/2

√9 = 3/1

Answer:

4 and 3/4 YOU GOT THIS!!

Step-by-step explanation:

Answer:

I believe the answer would be 1/2 a centimeter per week, hope this helps

Answer:

j = 61

Step-by-step explanation:

j - 18 = 61

Step One: Add your addend and your total together.

18 + 43 = 61

Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.

61 - 18 = 43

Answer:

j = 61

Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

Answer:Measure

Angle

48°

А

B

(6. - 28)

(2x)

С

Find the value of x. Then find the measures of angles B and C

Enter your answers in the boxes.

mZB=

O

mZC =

o

Step-by-step explanation:

Answer:

n = 7.2

Step-by-step explanation:

I just divided both sides by 5.

5n (÷ 5) = 36 (÷ 5)

n = 7.2 or 7 [tex]\frac{1}{5}[/tex]

You can choose between using the decimal or the fraction.

Answer:

n=7.2

Step-by-step explanation:

=> 5n=36

=> 5n/5 =36/5 [Divide by 5 on both the sides]

=> n=7.2

Hope this helps you.

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

First find the area of the trapezoid

 (16 + 10) * 9 / 2 = 117

Then find the area of the triangle

0.5 * b * 6 = 24

Add them both together

117 + 24 = 141

Answer: 141

GIVE ME BRAINLEST

Step-by-step explanation:

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