Hudson owns a food truck that sells tacos and burritos. He only has enough supplies
to make 100 tacos or burritos. He sells each taco for $3 and each burrito for $7.
Hudson must sell at least $420 worth of tacos and burritos each day. If a represents
the number of tacos sold and y represents the number of burritos sold, write and
solve a system of inequalities graphically and determine one possible solution.

Answer:

1/2y+1/2a=x

Divide both sides by2, then but the a value on the other side.

Answer:(3,1)

Step-by-step explanation:

Because you cant have (1,3) and (3,1).

Answer:

(2,3)

or (2,2) if the function does not need to be continuous.

Step-by-step explanation:

For a set of points to be considered a function, it must be true that for every X value, you have only a single Y value solution.

In other words, looking through your points listed, you would remove any point where an X value appears twice with different Y values.

[tex](X,Y)\\(-1,0)\\(1,3)\\(2,2) < -\\(2,3) < -\\(3,1)\\\\[/tex]

Notice the two points with arrows, both have 2 as their X value, but different Y values. Removing either one of them would make this a function. Although, by removing (2,3) the function has the potential to also be continuous, because having two of the same Y value for different X values would cause a piece-wise function which is generally non-continuous.

Counterexample

A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. It is used to check the validity of an argument.

We have been given the conjecture:-

"For every integer n, [tex]n^3[/tex] is positive."

We have to show that the conjecture is false by finding a counterexample.

Let us take an integer n = - 5

Finding its cube we, get

[tex]n^3[/tex] = -125

We know that,

-125 is not positive, it is negative.

Hence, the conjecture "For every integer n, [tex]n^3[/tex] is positive." is proven wrong by finding a counterexample which states otherwise.

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Answer:

type in english

Step-by-step explanation:

english please

In 400 minutes, it will reach the destination.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is also frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text) or a degree of separation, as spatial thinking is a rich source of conceptual metaphors in human thought (as exemplified by distance between people in a social network). The concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.

Distance is equal to speed × time. Time is equal Distance/Speed.

we have given, d(t)=340-0.85t

where, t is the time and d(t) is the distance.

when t = 0 we get,

d(t)=340

If we set d(t)=0 we get, 0= 340- 0.85t

add with 0.85t on both side

0.85t=340

t= 340/0.85

t= 400 minutes

Hence, the time taken to reach the destination is 400 minutes.

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Answer:

48

Step-by-step explanation:

The graph represents the solution set of y > -2x - 2 and y ≤ x + 4 is graph (a)

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The system of inequalities is given as

y > -2x - 2

y ≤ x + 4

Next, we plot the system of inequalities on a graph (see attachment)

From the attached graph, we have both lines of the graph intersect at (-2, 2)

Also, we can see that the graph has two lines (one shaded and one closed line)

By comparing the attached graph and the graphs in the list of options, we can see that the graph represents the solution set of the system of inequalities is graph (a)

Hence, the graph represents the solution set of the system of inequalities is graph (a)

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The total amount contact paper required will depend on total surface area of the box which will be 778 square inches.

As per the question statement, we are given a box with dimensions

(18in x 1ft 1in x 5 in) and we are supposed to find the total amount contact paper required to cover it.

The total amount contact paper required to cover it will depend on the total surface area of the box.

Given length(L) = 18 inches

Given width(W) = 1 ft 1 in = 13 inches

Given height(H) = 5 inches

Total Surface Area of the box is given by the formula

Area = 2(LW + WH + HL)

Area = 2(18*13 + 13*5 + 5*18)

Area = 2*389

Area = 778 square inches

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5. The value of x = 15

6. The converse that must be used is: C. Same-side exterior ∠s converse.

7. The proof is completed in the explanation part.

8. Slope of AB = 7/4; Slope of CD = -4/7, they are perpendicular.

The same-side exterior angles theorem states that same-side exterior angles that are on the same side of a transversal are supplementary to each other. Its converse states that if same-side interior angles are supplementary, then the lines they lie on are parallel to each other.

5. 10x - 22 + 3x + 7 = 180 [same-side exterior angles theorem]

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 15

6. The converse that must be used to show that lines y and x are parallel to each other is: C. Same-side exterior angles converse.

7.

Statements                                      Reasons                                            

1. ∠6 ≅ ∠8                                       1. Given

2. y║z                                              2. Corresponding ∠s converse

3. ∠2 and ∠3 are supplementary  3. Same Side Interior ∠s

8. Given:

A(-3, 8)

B(1, 15)

C(10, -9)

D(3, -5)

Slope = change in y / change in x

Slope of AB = (8 - 15)/(-3 - 1) = -7/-4 = 7/4

Slope of CD = (-9 -(-5))/(10 - 3) = -4/7

-4/7 is the negative reciprocal of 7/4. Perpendicular lines have slope that are negative reciprocals of each other.

Therefore, CD and AB are perpendicular.

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Answer:

x=10.50

Step-by-step explanation:

14 =  5

________
29.40 = x

cross multiply - 29.40 x 5 = 147

Then u would divide like this

14/14=1      147/14=10.5

Answer:

Image result for kumon level C

This award is presented to a student who has completed Level C10 or higher during or before their 1st-grade year. Math Level C covers multiplication and division.

Step-by-step explanation:

Answer:

I am stuck on it too can some one help me please.

Answer:

56

Step-by-step explanation:

3m + 72 = 4y - 56

3(8) + 72 = 4y - 56

24 + 72 = 4y - 56

96 = 4y - 56

4y = 152

y = 38

3(8) + 72 = 4y - x

24 + 72 = 152 - x

96 = 152 - x

-56 = -x

x = 56

Answer: [tex]x^4 +2x^3 -14x^2 +210x+1025[/tex]

Step-by-step explanation:

By the conjugate root theorem, -4+5i is also a root.

[tex]f(x)=a(x+4-5i)(x+4+5i)(x+5)^2\\\\=a(x^2 -8x+41)(x+5)^2\\\\ =a(x^2 -8x+41)(x^2 +10x+25)\\\\=a(x^4 +2x^3 -14x^2 +210x+1025)[/tex]

Answer:

7 hours

Step-by-step explanation:

each day she practices 1 hour and there are 7 days in a week so 7 hours by the end of the week

The function of both burger king and mcdonalds cost are respectively; C(n) = 0.75(1.15)ⁿ and C(n) = 2.5 + 0.25n

The formula for the nth term of an arithmetic sequence is given as;

aₙ = a + (n - 1)d

where;

a is first term

n is position of term

d is common difference

For McDonald's, we are told that the initial price is $2.50 and the common difference is $0.25. Thus, the function will be;

C(n) = 2.5 + 0.25n

where n is number of years after 1998

We are told that the cost in burger king increases by 15% each year. Thus, using formula for geometric progression, the function is;

C(n) = 0.75(1 + 0.15)ⁿ

C(n) = 0.75(1.15)ⁿ

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The total cost for the items which the Tiny family purchased is $41.6 × 10⁻⁶ while their change is equal to $45.84 × 10⁻⁵.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to determine the total cost, we would add all of the costs incurred by Tiny family as follows:

Total cost = 1.3 × 10⁻⁵ + 2.1 × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = (1.3 + 2.1) × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = 3.4 × 10⁻⁵ + 7.6 × 10⁻⁶

Total cost = $41.6 × 10⁻⁶

Next, we would calculate the change as follows:

Change = Amount paid - Total cost

Change = $5.0 x 10⁻⁴ - $41.6 × 10⁻⁶

Change = $45.84 × 10⁻⁵

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Answer:

3 × 5 = 15

Step-by-step explanation:

5 is the common number

The rule of g(x) after the transformation is g(x) = 3(x + 4)^2 + 3(x + 4)

The function is given as

f(x) = x^2 + x

The transformations are given as:

The rule of the above transformations are :

When the above transformations are combined, we have

This means that

g(x) = 3f(x + 4)

So, we have

g(x) = 3(x + 4)^2 + 3(x + 4)

Hence, the function g(x) is g(x) = 3(x + 4)^2 + 3(x + 4)

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Answer:

The third one (the elliptical shape) is not a function

Step-by-step explanation:

Every x value of a function must be paired to a single y value.  One really easy way to tell of a graph is a function is called the "vertical line test."  This says that if a vertical line drawn anywhere in the graphed area passes through more than one point, it is not a function.

Value of x when y = 17 for the quadratic function f(x) = x² + 6x + 10 is -7 and 1. That is option E.

Given, y=17 :

17 = x² + 6x + 10

Move 17 to RHS (right-hand side) :

0 = x² + 6x - 7

Using the Middle Splitting method:

0 = x² + (7x - 1x) - 7

0 = x(x + 7) - 1(x+7)

0 = (x - 1) (x + 7)

Now, equate both the equations (x-1) and (x+7) separately with 0.

The first value of x is

(x - 1) = 0

x = 1

The second value of x is

(x + 7) = 0

x = -7

∴ The values of x are -7 and 1. According to the question, that is option E.

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Angles of a polygon add to 360 degrees. To find the measure of each exterior angle of a regular n-gon. divide 360 by n.

The length of the square collage will be 63in.

In the question, It is stated that a photo collage is made by arranging 7 square shaped photos in a row. The arrangement is done in such a way that it forms a rectangle. The total area of the collage is 567 square inches. We have to find out the length of the Collage.

Given that, the photos arranged are of square shape then their length and breadth must be equal. So,

Side of square photo: x

Now, seven photos were arranged, So,

Length of collage = 7x

Breadth of collage = x

We know the Area of the Rectangle is Length*Breadth

Putting Area A = 567, l = 7x, and b = x, we get:

=> Area = l*b

=> 567 = 7x*x

=> 567 = 7x²

=> x² = 81

=> x = 9

We get x = 9, We know length = 7x so l = 63in

Hence, the Length of the Collage will be 63 inches.

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The equation of the line that is parallel to y = 2/3x + 19 and passes through (-9, 4) is: y = 2/3x + 10.

Two lines that are parallel have equal slope (m).

In the slope-intercept form of the equation of  given line, y = mx + b:

Given:

A point (-9, 4)

Equation, y = 2/3x + 19.

The slope (m) = 2/3.

The line that passes through (-9, 4) and is parallel to y = 2/3x + 19 would also have a slope (m) = 2/3.

Substitute (x, y) = (-9, 4) and m = 2/3 into y = mx + b to find the value of b:

4 = 2/3(-9) + b

4 = -6 + b

4 + 6 = b

b = 10

To write the equation, substitute m = 2/3 and b = 10 into y = mx + b:

y = 2/3x + 10.

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Using algebraic expression and equation, the hotel charge before tax in each city is $5749.60 and $6249.60, respectively.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Let x = hotel charge before tax in the first city

If the hotel charge before tax in the second city was $500 higher than in the first, then

hotel charge before tax in the second city = $500 + x

If the tax in the first city was 6.5% and the tax in the second city was 6% and the total hotel tax paid for the two cities was $748.7, then

x(0.065) + ($500 + x)(0.06) = $748.7

Solving for x,

x(0.065) + ($500 + x)(0.06) = $748.7

0.065x + $30 + 0.06x = $748.7

0.065x + 0.06x = $748.7 - $30

0.125x = $718.7

x = $5749.60

hotel charge before tax in the first city = $5749.60

hotel charge before tax in the second city = $500 + x

hotel charge before tax in the second city = $500 + $5749.60

hotel charge before tax in the second city = $6249.60

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By using the concept of composite solid, the volume of the entire figure is equal to 566 cubic centimeters.

In this question we find a composite solid formed by the following components:

Please notice that the volume of a prism is equal to the product of the area of the transversal area and the height of the prism. Now we proceed to determine the volume of the entire figure:

V = V₁ + V₂ + 2 · V₃    

V = (19 cm) · (2 cm) · (7 cm) + (10 cm) · (4 cm) · (7 cm) + 2 · [(1 / 2) · (5 cm) · (4 cm)]

V = 566 cm³

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Answer:

30.375

Step-by-step explanation:

this is a geometric sequence, meaning it has a common growth factor

to find the growth factor, you divide a term by the previous term (example: 9/6)

so for this problem:

9/6 = 1.5

6/4 = 1.5

so 1.5 is the common growth factor

then you just multiply so:

9 • 1.5 = 13.5

13.5 • 1.5 = 20.25

20.25 • 1.5 = 30.375

4, 6, 9, 13.5, 20.25, and 30.375

so 30.375 is your 6th term

hope this helps :)