Gavin bought snacks for his team's practice. He bought a bag of apples for $2.50 and a 18-pack of juice bottles. The total cost before tax was $18.16. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.

Answer:

We know that,

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

[tex]\frac{1}{a^{-x} } =a^{x}[/tex]

Let's solve now

[tex]\frac{3^{4} *5^{2} }{5^{8}*5*3^{-1} }[/tex]

[tex]\frac{3^{4}*3^{1} }{5^{-2} *5^{8} *5}[/tex]

[tex]\frac{3^{4+1} }{5^{-2+8+1} }[/tex]

[tex]\frac{3^{5} }{5^{7} }[/tex]

Therefore,

[tex]\frac{3^{5} }{5^{7} } = \frac{3^{w} }{c^{x} }[/tex]

So,

w = 5

c = 5

x = 7

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

D. y = 4x - 6

Step-by-step explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

Answer:

D. y = 4x - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

it will be c

The correct description represent in Venn diagram is;

''Of 9 families, 4 own a pet The Venn diagram represents the families that own a pet.''

What is Venn diagram?

Venn diagram is an illustration that uses circles to show the relationships finite groups of things.

Given that;

Number of family = 9

Number of pets = 4

Now,

In the Venn diagram;

Own pet (circle) contain in number of family (rectangle), that's mean every family has 4 own pet.

Thus, The correct description represent in Venn diagram is;

''Of 9 families, 4 own a pet The Venn diagram represents the families that own a pet.''

Learn more about the Venn diagram visit:

https://brainly.com/question/24713052

#SPJ5

Answer:

x=9

Step-by-step explanation:

m5=m1 so

25=3x+7

18=3x

x=9

Answer:

i think 15 if thats on your answer sheet

Step-by-step explanation:

Answer:

4m

Step-by-step explanation:

Answer:

DE= 30

Step-by-step explanation:

Look at BC and EF;

14 → 20

Scale factor = 14/20 = 7/10

AB/DE = 7/10

AB = 21

DE = 30

21/30=7/10

Answer:

x = 0.414729

y = 5.6822

Step-by-step explanation:

We can solve this by either of two mwethods:  Solve the equations directly, or graph them to find the point they intersect (the only solution that satisfies both equations).

SOLVE

33y+6x=190

8x+y=9

y = 9-8x

Substitute this value of y in the first equation:

33y+6x=190

33(9-8x)+6x=190

297-264x+6x=190

-264x+6x=190-297

-258x = -107

x = (107/258)

x = 0.414729 Use this value of x to solve for y (in either equation)

8x+y=9

8(0.414729)+y=9

3.317829 + y = 9

y = 5.6822

======

GRAPH:

Plot the two equations and find where they intersect.  

(Attached)

Answer:

B. 45

Step-by-step explanation:

-3 + c/3 = 12

c/3 = 12+3

c/3 = 15

c = 15×3

c = 45

Answer:

45

Step-by-step explanation:

-3 + c/3 = 12

c/3 = 12 + 3

c/3 = 15

c : 3 = 15

c = 15 . 3

c = 45

Answer:

4

Step-by-step explanation:

-5g -6

Let g= -2

-5 (-2) -6

Multiply

10 -6

4

Answer:

A. 4

Step-by-step explanation:

So, we have an equation with a variable (g), and they've given us the value of g to be -2. All we have to do at this stage is plug in the value of g into the equation.

-5g-6 (g=-2)

-5(-2)-6

10-6=4

Doing the math by plugging in -2, you would get your answer to be 4. Let me know if you see any errors, and if you have any further questions at all.

Answer:

800, just say my name and ill be there

Step-by-step explanation:

Answer:

line1：[tex]y=\frac{1}{4}x-\frac{3}{2}[/tex]

line2:  [tex]y=\frac{1}{4}x -\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

0 hope it helps ok bye have a good grade

Answer:

$35 = $12 + $1.85 x

Answer:

Step-by-step explanation:

Answer:

140%

Step-by-step explanation:

(24-10) / 10 = 14/10 = 140%

Answer:

140%

Step-by-step explanation:

A change from 10 to 24 represents a positive change (increase) to 140%.

Percent change = New-Old/Old x 100%

Percent change = 24-10/10 x 100% =

14/10 x 100 = 140% (increase)

Where 10 is the old value and 24 is the new value. In this case, we have a positive change (increase) of 140 percent because the new value is greater than the old value.

Answer:

75%

Step-by-step explanation:

The total cost was $125 + $75 = $200

The selling price was $350.

The profit was $350 - $200 = $150

The percent profit was 150/200 * 100% = 75%

Answer The correct answer to the following question is not provided U need to do it your self lol jk answer is d

Step-by-step explanation:

Answer:

how. :. i don't know what gives me a example that

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

( 0 , 7 )

( 8 , 7 )

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

Answer:

1. 42 people can be seated

2. 16 tables should be used.

Step-by-step explanation:

Part 1:

Since we are given the function, p(n) = 4n + 2, we need to plug in 10 to "n." This is because "n" represents the number of tables as stated on the top of the pciture. And "p(n)" represents the number of people that can be seated.

p(n) = 4(10) + 2

p(n) = 40 + 2

p(n) = 42

Part 2:

For this question, since we are given 65 as the total number of people that can be seated, we would plug in 65 in "p(n)", to result in the following equation.

p(65) = 4n + 2

Then solve the equation and use the property of inverse operation.

65 = 4n + 2

65 - 2 = 4n + 2 - 2

63 = 4n

63/4 = 4n/4

15.75 = n

Although we're given 15.75 as the number of tables that should be used, we can't really have a 0.75 of a table, so we would round 0.75 to 1.

15 + 1 = 16

16 tables are required.

9=Q

use the plagrium theory

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2  This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x  - 6

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope.  Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

1. If a polynomial function with rational coefficients has -4 and 8 as roots, it means we can factor this polynomial this way :

(x - (-4))(x-8) = (x+4)(x-8) = x² - 8x + 4x - 32 = x² - 4x - 32

1x² - 4x - 32 is a polynomial function of least degree with rational coefficients that satisifies the given conditions. The leading coefficient here is 1, we call this a monic polynomial.

2. There may be something missing in the question here

3. We can use the factoring techniques to find the roots :

x^3 - 5x² + 9x - 45 let us group x^3 with -5x² and 9x with -45 :

(x^3 - 5x²) + (9x - 45) = x²(x - 5) + 9(x - 5)

We can notice now that there is a common factor : (x-5) this allows us to factor again by (x-5) :

Y = (x-5)(x²+9)

This is the maximum we can do on R, but on C the set of complex we can still factor again.

x² + 9 has a negative discriminant : Δ = b² - 4ac where b = 0 , a = 1, c = 9

Δ < 0, Δ = - 36

Applying the formulas for the roots x1 and x2 we get x1 = -3i, and x2 = + 3i

Y = (x-5)(x-3i)(x+3i)

So the solution is S = {5, 3i, -3i} the three roots of the function.

10.95

Simplified: √120 = 2√30

Answer:

hope it helps u............