A pack of 16 markers cost $3.52. How much does each marker cost?

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.

The result of the expressions are:

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]

First, we substitute 4 for x

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]

Evaluate all products

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]

Subtract

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]

First, we substitute -2 for y

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]

Evaluate all products and exponents

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]

Subtract

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

Read more about rational algebraic expressions at:

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Answer: 3/15 - 1/15 = 4/15

Step-by-step explanation: (I'm not 100% sure this is correct lol)

Answer:

Step-by-step explanation:

3/5 - 1/3

times the bottom two by eachother so they become 3/15 and 1/15

but since you times the bottome you have to times the top so it becomes

9/15 - 5/15 = 4/15

Answer:

the triangles are equivalent

Step-by-step explanation:

that's it

Answer:

Two opposite angles of a parallelogram are always equal.

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

Answer:

area of trapezium =1/2(a+b)*h

=1/2(7+10.4)*6.7

=1/2(17.4)*6.7

=1/2(116.58)

=116.58/2

=58.29 square cm

Answer:

58.29 cm²

Step-by-step explanation:

Hi there!

Area of a trapezoid: [tex]A=\displaystyle \frac{a+b}{2} *h[/tex]

We're given that a = 7, b = 10.4 and h = 6.7. Plug these into the above:

[tex]A=\displaystyle \frac{7+10.4}{2} *6.7\\\\A=\displaystyle \frac{17.4}{2} *6.7\\A=8.7*6.7\\A=58.29[/tex]

Therefore, the area of the trapezoid is 58.29 cm².

I hope this helps!

Answer:

fx = x^4 - 7x^3 + 7x^2 + 21x - 30

the symbol ^ means the power of.

The product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be 2/15 x² + 1/30 x - 1/4.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(1/5 x - 1/4) and (2/3 x + 1)

Then the product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be

⇒ (1/5 x - 1/4) (2/3 x + 1)

⇒ 2/15 x² + 1/5 x - 1/6 x - 1/4

⇒ 2/15 x² + 1/30 x - 1/4

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ1

Answer:  Measure the length of the base. Call this value "b." Substitute these values into the equation for the area of a triangle: area = 1/2bh

Step-by-step explanation:

In geometry, the bottom of a three-dimensional object is called a base – if the top of the solid is parallel to the bottom it is also called a base. Since bases occupy a single plane, they have only two dimensions. You can find the area of a base by using the formula for the area of that shape.

Answer:i

Step-by-step explanation:

Skkslalsowkkskwoskskwoskkwmejekdjdjxjdmemejje

Answer:

Use corresponding triangles to get CE value.

[tex] \frac{8}{6} = \frac{ce}{9} [/tex]

CE = 12 cm

Then

DE= 12-8 = 4 cm

To calculate the area,

[tex]( \frac{9 + 6}{2} ) \times 4[/tex]

30 cm^2

Answer:

The correct answer is 95,677

Step-by-step explanation:

Greatest number of five digits: 75,320

Smallest number of five digits: 20,357

--

Remember:

Sum = Addition

Product = Multiplication

Difference = Subtraction

Sum of Greatest & Smallest:

[tex]75,320 + 20,357 = n[/tex]

[tex]n = 95,677[/tex]

Therefore, the correct answer is 95,677

The greatest number in the digits is 7, the smallest is 0.Their sum will be: 7+0=7

=7

Answer:

I don't know the answer! this is hard

Step-by-step explanation:

Answer:

need help

Step-by-step explanation:

Answer:

100

A line segment is 180 and if one side of the line is 80 then the other half has to be 100

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is [tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the Coef column

The y-intercept = 10835

The slope = 235

The equation of the least-squares regression line is therefore

[tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351

The correlation coefficient for the sample, r ≈ 0.351

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

Learn more here:

https://brainly.com/question/2456202

Answer:

k

Step-by-step explanation:

Answer:

$19.26

Step-by-step explanation:

I worked in a bank for a year.

Answer:

if x = -2, y = -10

if x = 0, y = -4

if y = -1, x = 1

Step-by-step explanation:

if x = -2:

f(-2) = 3(-2) - 4

f(-2) = -6 - 4

f(-2) = -10

if x = 0:

f(0) = 3(0) - 4

f(0) = 0 - 4

f(0) = -4

if y = -1

-1 = 3(x) - 4

3 = 3(x)

x = 1

-Chetan K

Answer:

281

Step-by-step explanation:

Therefore, the answer is 281.

Answer:

D. x = 5 or x = 10

Step-by-step explanation:

Answer:

1200:300

4:1 is the final ratio

Answer:

It oxygen. hope this'll help. All the best.

Answer:

he can get 6 shirts

Step-by-step explanation:

12.60 x 26.5

333.9 - 280

53.9 ÷ 8.6

6

Answer:

6

Step-by-step explanation: