Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips​

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

  an = -10 +2(n -1) = 2n -12

Then the 77th term is ...

  a77 = 2(77) -12 = 154 -12

  a77 = 142

The 77th term is 142.

Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = [tex]\frac{70 - 5c}{3}[/tex]

Now plug in s into the second equation.

12s + 12c = 216

12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216

[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

Answer:

300.33333

Step-by-step explanation:

Step-by-step explanation:

constant=7

coefficient=2

Answer:

Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3

Step-by-step explanation:

The coordinates of the quadrilateral ABCD are;

A(0, 6), B(6, 6), C(9, 0), D(0, 0)

From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3

Answer:

x equals 51

Step-by-step explanation:

1. Do the inverse operation of x/-3 which is multipulcation.

2. Multiply -17 by -3 to get the answer of 51.

Finish the equation by saying that x = 51, or 51 = x.

Answer:

X=51

Step-by-step explanation:

You would have to multiply 17 by 3.

10x3=30

7x3=21

then you add 30 and 21 which equals 51

Answer:

0.22

Step-by-step explanation:

It is 0.22 written as a decimal instead as a percent%.

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

Answer:

y = 6x

Step-by-step explanation:

y = mx + b

Slope (m) = 6/1 up 6, right 1

Y-intercept (b) = 0

Answer:

Whats the code?

Step-by-step explanation:

Ill play with u

Answer:

i wanna say its 136 but im not completely sure

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Answer:

it is -6

Step-by-step explanation:

Answer:

The sample mean for survey 1 is $1.69.

Step-by-step explanation:

I just did this on edmentum plato.

Answer:

{ (0,0),(1,4),(6,2)

Range = {0,2,4}

Answer: C

Step-by-step explanation:

The function is always increasing

The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.

" The graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

Given graph of the  cube root parent function

For function [tex]y= \sqrt[3]{x}[/tex]

x = 0 ⇒ y = 0

x = 1 ⇒ y = 1

x = 8  ⇒ y = 2

x = 27 ⇒ y = 3

Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.

Hence, Option(D) is the correct answer.

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

Answer:

Step-by-step explanation:

Given

To find

Substitute n with 1/3 and calculate

Answer: The answer is 1 sweetie

Step-by-step explanation: Given

f(n) = 3n

To find

f(1/3) =?

Substitute n with 1/3 and calculate

f(1/3) = 3*1/3 = 1

ok so F (0) should be equaled to = 0

Answer:

f(0) = 5

Step-by-step explanation:

Note that [tex]a^{0}[/tex] = 4

To calculate f(0), substitute x = 0 into f(x), that is

f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Answer:

4 - slope

2 - y - intercept

Step-by-step explanation:

The equation is in slope-intercept form.

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

m - slope

b - y-intercept

The '4' is the slope of the equation.

[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]

The '2' is the y-intercept.

[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]

Hope this helps.

Answer:

Yes

Step-by-step explanation:

8/10 can be simplified to become 3/4

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

PLEASE I NEED HELP ITS URGENT TOO!!!

Answer:

y = - [tex]\frac{1}{10}[/tex] x + 3

Step-by-step explanation:

Given

x + 10y = 30 ( subtract x from both sides )

10y = - x + 30 ( divide all terms by 10 )

y = - [tex]\frac{1}{10}[/tex] x + 3

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

[tex](y-k)=n(x-h)^2[/tex]

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]

[tex]p(y-k)=(x-h)^2[/tex]

where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, [tex]|-0.5|=0.5[/tex]

For option B, [tex]|5|=5[/tex]

For option C, [tex]|8|=8[/tex]

For option D, [tex]|-10|=10[/tex]

Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.

Hence, the correct option is A.

Answer:

1/10

I hope this helps!

Answer:

1/10

Step-by-step explanation:

6/20, 5/20, 4/20, 3/20 2/20