Brian bought beverages for his coworkers. One day he bought
3 lemonades and 4 iced teas for $12.00. The next day he bought
5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade
and 1 iced tea, to the nearest cent.

Answer:

Answer in image below :)

Step-by-step explanation:

The value of x from the figure is 4

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

Answer:y =  y = -7x

Step-by-step explanation: y - 14 = -7(x - (-2))

y - 14 = -7x - 14

Answer:

a) c=33.5

I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!

Step-by-step explanation:

Simplify both sides of the equation.

c(5)=(35.5)(5)−10

5c=177.5+−10

5c=(177.5 + −10) (Combine Like Terms)

5c=167.5

Divide both sides by 5.

5c/5 = 167.5/5

c=33.5

I'm not entirely sure about the second question but I'll try to figure it out and let you know!

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

t>-2

Step-by-step explanation:

So Act like this is an equation and add -3 to both sides:

t>-2

Thats your answer!

The correct choice should be #1

Answer:

Both are correct

Step-by-step explanation:

Rico got 6/8

Nita got 3/4

Equivalent fraction

2/2 x Nita point

2/2 x 3/4

6 / 8

So,

Nita point = Rico point

6/8 = 6/8

Answer:

Both are corre

Step-by-step explanation:

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

Answer:

20 bc if 8 men took 10 hours then 4 men would take double the time

Answer:

ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

Answer:

30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens

Answer:

1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

2.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

Answer:

85

Step-by-step explanation:

2(-4)^2=32

-10(-4)=40

32+40+13=85

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Answer:

4.61% increase (round up as needed)

Step-by-step explanation:

Subtract the smaller amount from the larger to find the dollar difference

[tex]68-65=3[/tex]

Then divide the difference by the original amount

[tex]3/65=0.0461[/tex]

Move the decimal point over two spaces (multiply by 100) to get your percentage

0.0461=4.61%

Round up as needed.

Answer:

Answer is A

Step-by-step explanation:

because 2 × $11.50 is for adult tickets

$8 × 4 is for childrens tickets

and the equation would represent the total cost

Answer: (x^2-y^2) (x^2+y^2)  and  (x-y)(x+y)(x^2+y^2)

Step-by-step explanation:

Expand (x2 − y2) (x2 + y2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2 ) − y^2 (x^2 + y )

Apply the distributive property.

x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2

Combine the opposite terms in x^2 x^2 + x^2  y^2 - y^2  x^2 - y^2 y^2.

Reorder the factors in the terms x^2 y^2 and − x^2 y^2.

x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2

Subtract 2 2 from 2 2.

x^2 x^2+ 0 - y^2 y^2

Add 2  2 and 0.

x2 x2- y2 y2

Simplify each term.

Multiply x2 by x2 by adding the exponents.

x^4 − y^2y^2

x^4 − y^4

(x − y) (x + y) (x^2 + y^2)

Expand (x − y) (x + y) using the FOIL Method.

(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)

Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.

(x ⋅ x − y ⋅ y) (x^2 + y^2)

(x^2 − y^2) (x^2 + y^2)

Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.

Apply the distributive property.

x^2 (x^2 + y^2) − y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)

Apply the distributive property.

x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2

Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.

x^2x^2 − y^2y^2

x^4 − y^4

please give me brainliest :)

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

Answer:

4.5/9 = 0.5

half a pie each

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Answer:

92°=180°/y° I think this is correct