Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer:

x

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

Slopes are equal for parallel lines

Slope of line v is -3/4

Step-by-step explanation:

the answer is 50 because 2x-=76 is k :)

Answer:

k (oats in cups) = 25 (grams of almonds)

Step-by-step explanation:

If you look at the coordinates given in the question (1,k) where we are told to find k.

A coordinate is a pair of one x and y value, an input and output in a relationship.

2d coordinates are in the form of (x,y), this means that (1,k) is representing what k will be when x is 1. So to find k, we must look at where y (the amount of almonds in this instance) is when x (the oats) is 1.

This graph looks to be y = 25x.

Where y is the oats in cups, and x is the grams of almonds. This is a proportion which means that there are 25 grams of almonds for every 1 cup of oats.

Answer:

Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest

Step-by-step explanation:

The vertex of a parabola means the stationary point/turning point which is denoted by the following:

[tex]x=\frac{-b}{2a} \\[/tex]

and for y we just simply put the value of x that we get into the equation so lets get started

The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation

and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values

a=1 , b=-2 , c=-6

and now for the vertex

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]

and now for y

[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]

so the vertex is (1,-7)

and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.

Answer:

hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.

Step-by-step explanation:

Step-by-step explanation:

slope= -1/3 (-3,0)

y=mx-or+b

y= -1/3(-3)+b

y= 3/3+b

y=1+b

0=1+b

b= -1

the equation is y= -1/3x-1

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

-4x + 6(4x - 3) = -8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer: The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Step-by-step explanation:

Let the cost of a chicken wrap be x

Let the cost of one order of potatoes be y.

From the question,

3x + 2y = $42.95 ...... equation i

5x + 4y = $74.91 ....... equation ii

Multiply equation i by 5

Multiply equation ii by 3

15x + 10y = $214.75 ..... equation iii

15x + 12y = $224.73 ....... equation iv

Subtract equation iv from equation iii. This will be:

-2y = -$9.98

y = $9.98/2

y = $4.99

Since 3x + 2y = $42.95

3x + 2($4.99) = $42.95

3x + $9.98 = $42.95

3x = $42.95 - $9.98

3x = $32.97

x = $32.97/3

x = $10.99

The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Answer:

n³

Step-by-step explanation:

Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

Step 1: Define

n⁶/n³

Step 2: Use Exponent Rule

n⁶/n³ = n⁶⁻³ = n³

Answer:

n^3

Step-by-step explanation:

Apply the exponent rule:

x^a

-----    = x ^ a-b

x^b

so basically, you're saying n ^ 6-3, which is n^3

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

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Answer: 50%

Step-by-step explanation: math

Answer:

the answer is 3 1/2 hours

Explanation: Just add all the fractions and numbers and subtract that by 9 1/4

Answer:

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7

Answer:

Step-by-step explanation:

You could make 8 different ways

24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1

Answer:

Yes

Step-by-step explanation:

Answer:

True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.

Step-by-step explanation:

Part A: 3x + 15 = 5x - 25

Part B: x = 20

Answer:

Sorry and where is your questions..

Answer:

4*(-5) = -20

Step-by-step explanation:

Answer:

The greatest common factor is 4

Step-by-step explanation:

1.Find the prime factorization of 12

         a) 12 = 2 × 2 × 3

2.Find the prime factorization of 196

         a) 196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

          a)GCF=2x2

Therefore, GCF = 2 × 2

GCF = 4

The greatest common factor of the numbers 196 and 12 is 4.

The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.

1. Find the prime factorization of 12

12 = 2 × 2 × 3

2. Find the prime factorization of 196

196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

GCF=2x2

GCF=4

Therefore, the greatest common factor of the numbers 196 and 12 is 4.

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Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Answer:

-45, -21, -16, 12, 33, 40

Step-by-step explanation:

Answer:

Question A)

-21+12  =answer= -21 and 12

Question B)

45-16=29 =answer= -45 and -16

Question C)

The total is 3.

Thanks.

Answer:

to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0

Step-by-step explanation:

Answer:

The first thing you need to notice is that each mark in the coordinate axis represents 2 units.

Now, let's analyze each option that maps rectangle 1 to rectangle 2.

Reflection over the line x = 1, and a translation of 2 units down.

You can see that the right end of rectangle 1 us located at x = -2

The distance between x = -2 and the line of reflection is:

1 -  (-2) = 3

Then the left end of the reflected rectangle will e 3 units at the right of x = 1.

1 + 3 = 4

Will be at x = 4, same as rectangle 2.

Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.

Translation of 12 units right, and then 2 units down.

The right end of rectangle 1 is at x = -2

The right side of rectangle 2 is at x = 10

The difference is 10 -(-2) = 12

Then we must move rectangle 1 12 units to the right.

Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.

Rotation of 180° around the point (1, 4)

This means a reflection over the line x = 1, followed of a reflection over the line y = 4.

We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.

Answer:

D, E, and F

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

It was just angled in a different way

Answer:

Step-by-step explanation: 40 newtons to the right