Anna buys 12 pens and 20 pencils for a total of $16. One pen costs $0.40 more than one pencil. What would 1 pen and 1 pencil cost?

Answer:

Step-by-step explanation:

125a + 65s = 1200

140a + 50s = 1230

-3500a - 1820s = -33600  

 3500a + 1250s = 30750

-570s = -2850

s = $5

student

125a + 65(5) = 1200

125a + 325 = 1200

125a = 875

a = $7 adult

the other situation means that they didn't do it right at all

Answer:

y=35x−9

Step-by-step explanation:

Step 1: Add -12x to both sides.

12x−20y+−12x=180+−12x

−20y=−12x+180

Step 2: Divide both sides by -20.

−20y−20=−12x+180−20

y=35x−9

Answer:

6

Step-by-step explanation:

Answer:

Hopefully you don't mind that I took a photo instead hope this helps

Answer:

[tex]2\sqrt[4]{3}[/tex]

Step-by-step explanation:

[tex]48^\frac{1}{4} = \sqrt[4]{48} = \sqrt[4]{2*2*2*2*3} = 2\sqrt[4]{3}[/tex]

The given expression can be written in simplest radical form as 2[tex]\sqrt[4]{3}[/tex].

In order to write an exponent in radical form, first take the prime factors of the given number and then put the remaining numbers that are left out in the radical form.

The given expression is [tex]48^{1/4}[/tex].

The prime factorization of 48 gives 48 = 2 × 2 × 2 × 2 × 3

It can be written in simplest radical form as follows,

[tex]48^{1/4}[/tex] = [tex](2 \times 2 \times 2 \times 2 \times 3)^{1/4}[/tex]

        = 2 × [tex]3^{1/4}[/tex]

        = 2[tex]\sqrt[4]{3}[/tex]

Hence, the radical form of given expression is 2[tex]\sqrt[4]{3}[/tex].

To know more about radical form click on,

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Answer:

Step-by-step explanation:

S = 3tr(b + 1)

b + 1 = S/3tr

b = S/3tr - 1

Answer:

y = x + 2

Slope = rise / run

= 2 / 2 (or 1 bc 2 divided by 2 is 1)

The plotted point on the x axis is on 2

y = x + 2

Answer:

Correct Answer: 512

Step-by-step explanation:

[tex]8^7[/tex] · [tex]8^{-4}[/tex] · [tex]4^0[/tex]

Multiply [tex]8^7[/tex] by [tex]8^-4[/tex] by adding the exponents.

Use the power rule [tex]a^m a^n=a^{m+n}[/tex]  to combine exponents.

[tex]8^{7-4}[/tex] · [tex]4^0[/tex]

subtract 4 from 7

[tex]8^{3}[/tex] ·  [tex]4^0[/tex]

Simplify [tex]8^{3}[/tex] ·  [tex]4^0[/tex] ←

[tex]8^{3}[/tex] · 1 ←

Raise  8  to the power of   3

512

Sabastien didn't simplify correctly, he Raised 4 to the power of 0 and turned the 1 into 0. which was incorrect. where the outcome should've been 1.

Answer:

4/5

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, we first need to put the equation in slope intercept form (y = kx + b)

8x - 10y = -60

-10y = -8x - 60

y = 4/5x + 6

So the slope is 4/5.

Answer:

In slope intercept form -5y = -4 - 30

Step-by-step explanation:

Slope intercept form is y=mx + b

Rewrite your equation in this form

-10y = -8x - 60

Find GCF (Greatest Common Factor) in this case it is 2

Divide all by 2

-5y = -4x - 30

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], then solve for the y-intercept.

[tex]m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}[/tex]

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b        [multiply]

15=12+b                   [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

Answer:

Step-by-step explanation:

2(l + w) = P

l + w = P/2

l = P/2 - w

Option 2

Answer:

if x is what you are looking for then, x = 30

Step-by-step explanation:

3x - 40 = x + 20 (they are vertically oppositel

2x = 60

x = 30

Answer:

x = 30

Step-by-step explanation:

The 2 given angles are vertical and congruent, thus

3x - 40 = x + 20 ( subtract x from both sides )

2x - 40 = 20 ( add 40 to both sides )

2x = 60 ( divide both sides by 2 )

x = 30

Answer:

6x

Step-by-step explanation:

Combining like terms is simply representing them as a single term. With algebra, you can perform arithmetic on the coefficient (the 10 and the 4) to simplify the expression, giving you 6x.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

[tex]d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 5})^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \: \\ = 9.4339811[/tex]

We have the final answer as

Hope this helps you

Answer:

x=0

Step-by-step explanation:

2x-4+6=2

2x+2=2

2x=0

x=0

Answer:

x=0

Step-by-step explanation:

Answer:

En la última fila de la zona general hay 98 asientos y en la zona preferencial hay 564 asientos.

Explicación paso a paso:

= 1 + − 1 ×

40 = 20 + 40 − 1 × 2

40 = 20 + 39 × 2

40 = 20 + 78

40 = 98

=  (1 + )  2 ×

12=  (36 + 58)  2 ×12

12 = 47 × 12

12 = 564

Step-by-step explanation:

dame corona

Answer:

Which elements have the most similar properties?

A.K and Ana

Step-by-step explanation:

Answer:

z= -3.1111111111

Step-by-step explanation:

-7*3=-21

-7*51= -357

-7*-39= 273

-21z+(-357)+273

simplify

-21z-84

-21z/-21 (canceled)

84/-21= 3.1111111111

Hope this helps.

Answer:

Hi there!

Your answer is:

-26/5 , -5.17 , √33 , 37/6

Step-by-step explanation:

-26/5 = -5.2

-5.17 = -5.17

✓33= 5.7

37/6 = 6.16

Answer:

[tex]y=3x+2[/tex]

Step-by-step explanation:

There is enough information to make a equation in slope-intercept form.

[tex]y=mx+b[/tex]

'm' is the slope. 'b' is the y-intercept.  

In the given question, 3 is the slope and 2 is the y-intercept. This means that:

m = 3

b = 2

Plug in the appropriate values:

[tex]y=mx+b\rightarrow\boxed{y=3x+2}[/tex]

Hope this helps.

Answer:

x=-26

Step-by-step explanation:

Answer:

Hi there!

Your answer is:

x= -26

Step-by-step explanation:

3(x+4) = 2(x-7)

First, distribute 3 to the first parentheses and 2 to the second parentheses.

3x +12 = 2x-14

Next, get all whole numbers on the right side

3x +12 = 2x-14

-12

3x = 2x -26

Then, get all the X's on the left side

3x = 2x -26

-2x

x= -26

Hope this helps

Step-by-step explanation:

[5×(13-8)]+12÷6

= [5×5]+(12÷6)

= 25 + 2

= 27

The simplified form of the expression {5 × (13 − 8)}+ 12 ÷ 6 is 27

Given:

{5 × (13 − 8)} + 12 ÷ 6

following the rule of BODMAS

{5 × (13 − 8)} + 12 ÷ 6

= {5 × (5)} + 12 ÷ 6

= 25 + 2

= 27

Therefore, the simplified form of the expression {5 × (13 − 8)}+ 12 ÷ 6 is 27

Learn more about simplification:

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Answer:

2x+7y+2

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

This is an irregular pentagon, so the total degrees is 540

Add the know degrees together.

131+108+107+110 = 456

Then subtract 456 from 540

540 - 456 = 84

x= 84

Another way you could have done this is by making the following equation.

131 + 108 + 107 + 110 + x = 540           solve

456 + x = 540

-456       -456

x = 84