The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.

Answer:

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Step-by-step explanation:

To make "n" the subject of the formula, rearrange the formula so it begins with " n = "

To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.

=> m = 5n - 21

=> m + 21 = 5n - 21 + 21

=> m+ 21 = 5n

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Answer:

20.8333333333

Step-by-step explanation:

7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

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

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.

Answer:

it 3.5-9

Step-by-step explanation:

Answer:

5x-10=60

5x=70

x=14

Hope This Helps!!!

Answer: 14

Step-by-step explanation:

Thr two angles are equal, so we can write:

5x-10 = 60

5x = 70

x = 14

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

Answer: 6+3 = 9

Step-by-step explanation:

-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.

Answer:

3 = 9

Step-by-step explanation:

Simplifying 3 + -6a = 9 + -6a Add '6a' to each side of the equation. 3 + -6a + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 0 = 9 + -6a + 6a 3 = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 = 9 + 0 3 = 9 Solving 3 = 9 Couldn't find a variable to solve for.

Answer:

2.83

Step-by-step explanation:

Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Step-by-step explanation:

We have,

We've to find the amount shared and what each of them received.

★ Amount Shared = Amount received by Edwin + Amount received by Franklin ★

As, Edwin and Franklin share money in the ratio 3:7. So, let's say that,

Also, Franklin received $20 more than Edwin. So,

→ Amount received by Franklin = 20 + Amount received by Edwin

→ 7x = 20 + 3x

Solving the equation further.

→ 7x - 3x = 20

→ 4x = 20

→ x = 20/4

→ x = 5

Hence,

→ Amount received by Edwin = $ 3x

→ Amount received by Edwin = $ 3(5)

→ Amount received by Edwin = $ 15 [Ans]

And,

→ Amount received by Franklin = $ 7x

→ Amount received by Franklin = $ 7(5)

→ Amount received by Franklin = $ 35 [Ans]

Lastly,

→ Total amount shared = 3x + 7x

→ Total amount shared = $35 + $15

→ Total amount shared = $50 [Ans]

Answer:

isosceles triangle

Step-by-step explanation:

In an isosceles triangle 2sides are equal

Answer: z = -8

Step-by-step explanation:

A line with an "undefined slope" is one that is vertical to the x axis.  It has a slope that is undefined because there is no change in x for all points on the line.  The slope is the Rise over the Run, and in this case there is no :Run."  That means dividing by zero, so it is undefined.

Since x foes not change, the unknown point (z,2) would be (-8,2).

z = -8

Answer:

(3x-2y)(9x²+6xy+4y²)/216

Step-by-step explanation:

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

Answer:

it would be C

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA              1. Given

2. DB ≅ CB                                            2. Definition of midpoint

3. EB ≅ BA                                              3. Definition of midpoint

4. ∠EBD ≅ ∠ABC                                  4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA                                  5. S A S congruent

Answer:

I only know the second one sooorrry

if you say its classification so that type of traingle is obtuse triangle

Step-by-step explanation:

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Answer:

B. the mosquito transforms into a butterfly

Step-by-step explanation:

Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.

I hope this was incredibly helpful! Tell me if you need any further assistance...

( :

Answer:

9 hours

Step-by-step explanation:

25% of 12 is 1/4 of 12.

12/4 is 3.

25% of 12 is 3.

12-3=9

Answer:

No, it isn't linear because the graph is not a straight line.

Step-by-step explanation:

(see picture of graph)

Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.

Answer:

9

Step-by-step explanation:

Let the number be 'x'

One third of a number : (1/3) *x

Thrice the number = 3x

[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]

Multiply the entire equation by 3

9x - x =  72

8x = 72

Divide both sides by 8

x = 72/8

x = 9

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

Answer:

B, C, D

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b ) = (- 1, 4 ) , then

y - 4 = - 3(x - (- 1) ) , that is

y - 4 = - 3(x + 1) → D

Distribute parenthesis

y - 4 = - 3x - 3 ( add 4 to both sides )

y = - 3x + 1 → C

Add 3x to both sides

3x + y = 1 → B

0111100109090909099999999999999999

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ2

Answer:B and c

Step-by-step explanation:

Answer:

-46

Step-by-step explanation:

first multiply

add

and last subtract

Answer:

a = 10, b = 5, c = 14, d = 25

Step-by-step explanation:

Plug in -2 for x ....

y = 2(-2)^2 + -2 + 4

y = 2(4) + 2

y = 10

Plug in -1 for x ....

y = 2(-1)^2 + -1 + 4

y = 2(1) + 3

y = 5

Plug in 2 for x ....

y = 2(2)^2 + 2 + 4

y = 2(4) + 6

y = 8 + 6

y = 14

Plug in 3 for x ....

y = 2(3)^2 + 3 + 4

y = 2(9) + 7

y = 18 + 7

y = 25