Kayla and her children went into a restaurant and she bought $63 worth of hotdogs
and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more
hotdogs than tacos. Write a system of equations that could be used to determine the
number of hotdogs and the number of tacos that Kayla bought. Define the variables
that you use to write the whats the system of equation.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. One solution: 2x + 4 = 3x + 1/2

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

If the value of the variable is zero, then the no solution.

If the value of the variable is one, then the one solution.

If the value of the variable is infinity, then the infinite many solutions.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.

One solution: 2x + 4 = 3x + 1/2

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This person has walked a total of 21 miles and the total displacement vector for this walk is 13.153 in northeast direction by the concept of distance and displacement.

Unaffected by direction, distance describes an object's entire movement. Displacement, in contrast, refers to a shift in an object's position. Because of this, the primary distinction between distance and displacement is that one is a scalar and the other is a vector.

According to question let us determine the total distance 2 miles+3 miles+6 miles+7 miles+3 miles =21 miles

So, this person has walked a total of 21 miles

Now let us find displacement vector as follows:

Divide into parts: Each leg on the Southeast and Southwest diagonals is the hypotenuse, therefore multiply by (2) /2.

x-axis is given as 2+3*(√ (2) /2) +0 -7(√ (2) /2) +3 =1.464

Similarly, y-axis is given as 0- 3(√ (2) /2)- 6- 7(√ (2) /2) +0=-13.071

The coordinates of the given ques are as follows: <1.464, -13.071>

By Pythagoras theorem, the hypotenuse of the given coordinates is 13.153 in northeast which is our required displacement.

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The length, b, which is the longest side of the triangle, can be found to be 13.172 cm.

To find the area of 22.4 cm², the formula used was:
Area = 1/2 x a x b x Sin(C)

Using this formula, we can find the value of side a to be :
22.4 = 1/2 x 3.7 x a x Sin(97°)

a = 12. 199 cm

We can then use the Cosine rule to find the value of b, which is the longest side:

b² = a² + c² - 2 x a x c x Cos(B)

b = √ ( a² + c² - 2 x a x c x Cos(B))

b = 13. 172 cm

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The interquartile range (IQR) is a measure of dispersion, which is a measure of how spread out a data set is. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

Q1 = ( n +1 ) / 4th observation

    = ( 9 + 1) / 4

    = 2.5 th obseravation

That is the average of 2nd and 3rd observations.

Q1 = 2

Q3 = 3 ( n + 1) / 4 th observation

     = 3 ( 9 + 1) / 4

     = 7.5 th observation

That is the average of the 7th and 8th observation

Q3 = 5.5

Interquartile range = Q3 - Q1 = 5.5 - 2 = 3.5

In this data set, the first quartile is the average of the second and third observations (2), and the third quartile is the average of the seventh and eighth observations (5.5). Subtracting the first quartile from the third quartile gives us an IQR of 3.5. This means that the values in the data set are spread out over a range of 3.5 dollars.

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Answer:

xx=5 and yy=6

Step-by-step explanation:

Hope it helps you

Answer: The answer is 8/5

Answer:

Each person gets 8/5 part of cookie

The length of the hypotenuse of the right triangle is 4.1in

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

In trigonometry, if θ is the angle opposite the 4 in line, then sinθ= opp/hyp

cosθ=adj/hyp

tanθ= opp/adj

to find the hypotenuse

sin80= 4/hyp

hyp= 4/sin80

hyp = 4/0.985

therefore the hypotenuse = 4.1 in

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Answer: The wording may be confusing, but the problem is simple.

All they are asking you to do is to plot those x-y value pairs as data points on a graph. Doing that is very basic to science. In science, you put your data on a chart and look at how it shapes up to draw conclusions.

So your first point has x=325.0 and y=1.10,

your second point has x=348.9 and y=1.40, and so on.

If using pencil and paper, your best bet is to use graphing paper, or at least grid paper. Then your first step would be setting up the scale on the axes. You need to fit points with y values between 0.25 and 1.40, so you may want to set the scale on the y-axis so it covers the range from 0 to 1.6 at least (maybe even 0 to 2). Your x values are between 230.0 and 348.9, so you could set up your x-axis so that it includes 0 to 360 (or 0 to 400). Alternatively, you may not include x values all the way down to zero and set your x scale from 200 to 360 only,

The conclusion that you would draw from your plot is that the power seems to vary linearly with speed. The data points are almost in a straight line. They are not perfectly aligned, of course. There is always some variability in accurate data, but you can see a trend. You could draw a line that seems to fit the points best and use it to predict that the power at 250 rpm would be 0.44 hp for example.

Step-by-step explanation:

A problem that could be solved by multiplying (−3) × (−6) is "the product of -3 and -6"

From the question, we have the following parameters that can be used in our computation:

(-3) x (-6)

In the above expression, we can see that

-3 and -6 are multiplied

This means that the problem is a product expression

And a problem that can represent (-3) x (-6) is "the product of -3 and -6"

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2000/3

Hope it helps

Mark Brainlist

Answer:

14

Step-by-step explanation:

[tex]\frac{90n+90n}{n+1}=168 \\ \\ 180n=168n+168 \\ \\ 12n=168 \\ \\ n=14[/tex]

Answer:

Step-by-step explanation:

Let the sum of the original list of n numbers be S. The average of the list is given by:

average = S/n

Since the average is 90, we can write:

90 = S/n

Multiplying both sides by n, we get:

90n = S

After the number 90n is added to the list, the average of the list becomes 168. The sum of the list is now S + 90n. The number of elements in the list is now n+1. The average of the list is given by:

average = (S + 90n) / (n+1)

Since the average is 168, we can write:

168 = (S + 90n) / (n+1)

Multiplying both sides by n+1, we get:

168(n+1) = S + 90n

Substituting for S using the equation S = 90n, we get:

168(n+1) = 90n + 90n

Simplifying, we get:

168n + 168 = 180n

Subtracting 168n from both sides, we get:

168 = 12n

Dividing both sides by 12, we get:

14 = n

Therefore, n = 14.

The cost for a child ticket was $4 less than the cost of an adult ticket.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of adult tickets be x.

The 5 children received a 20% discount on their tickets.

So;

x-20% of x

= (x-20/100) × x

= x-0.2x

= 0.8x

Here, 4x+5×0.8x=160

⇒ 4x+4x=160

⇒ 8x=160

⇒ x=20

So, the cost of children is 20-20% of 20

= 20-0.2×20

= 20-4

= 16

Therefore, the cost for a child ticket was $4 less than the cost of an adult ticket.

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Answer:

Step-by-step explanation:

Use the figure to complete each sentence. The base of this rectangle is cm. The height of this rectangle is cm. The area of this rectangle is cm2.

Answer:

24 cm²

Step-by-step explanation:

Solution Given:

The base of this rectangle is 4 cm. The height of this rectangle is 6 cm

height =6 cm

base = 4cm

Since

Area of Rectangle= base*height

=6*4

=24 cm²

Therefore, the area of this rectangle is 24 cm².

Answer:

y=2x-2

Step-by-step explanation:

formula for the equation of a line is y=mx+b

formula for slope is (y2 - y1)/(x2-x1)

which makes the slope 2 (m=2)

then calculate for b which is -2

finally the formula is y = 2x - 2

Answer:

B and D

Step-by-step explanation:

While D is a given factor for any number, 3 is the only number that 9 and 12 can be evenly divided by.

Answer:

Mixture B

Step-by-step explanation:

A) the concentrate per cup is 2/3

B) the concentrate per cup is 6/8 = 3/4

The concentration of B is higher, so it will taste juicier.

The required probability for the given case is obtained as 1/6.

Probability is the measurement of the chance for a random event.

It is the ratio of the favorable outcome to the total possible outcome.

It always lies in the interval [0, 1].

The sample space for the given case can be written as follow,

The total number of sample space elements are,

Possible outcomes for coin × Possible outcomes for cube

= 2 × 6 = 12

Now, the number of favorable outcomes for the given event is as below,

Number of head × Number of numbers less than 3

= 1 × 2 = 2

Now, the probability is given as,

P(Head on coin and less than 3 on cube) = 2/12 = 1/6

Hence, the probability of getting heads on the coin and a number less than 3 on the number cube is given as 1/6.

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The total maximum electrical work the battery could perform during discharge is 11 kj.

When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is actually a function. Simply drawing a vertical line will reveal whether the graph is a function if it touches it once. The graph is not a function if the vertical line is higher. A function is defined technically as a relationship between a set of possible outputs and a set of inputs, where each input is associated to exactly one outcome.

Given

Work is dependent on power.

Power is function on voltage.

Voltage is linear, according to the query, so:

V(t) = at + V

a = Slope

a = 0.70 - 1.45/3600s

P(t) = V*I = V(t) *I (I= 2850 mA)

Then,

W= ∫03600 P(t) dt

=  ∫03600 ( at +1.45 )*I dt

= I × ∫03600 ( at +1.45 )dt

W= 2.850( a*36002 /2  + 1.45*3600)

W = 11

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Answer:

-4

Step-by-step explanation:

I use this equation to solve it^^

Answer:

  (-6, -2)

Step-by-step explanation:

For points A(-10, 2) and B(-3, -5), you want the point P that makes AP/PB = 4/3.

Using (x, y) for the coordinates of P, we have ...

  AP/PB = 4/3

  ((x, y) -(-10, 2))/((-3, -5) -(x, y)) = 4/3

This simplifies to ...

  (x+10, y-2)/(-3-x, -5-y) = 4/3

Cross multiplying gives ...

  3(x +10, y -2) = 4(-3 -x, -5 -y)

  (3x+30, 3y-6) = (-12-4x, -20-4y)

Treating these equations separately, we have ...

  3x +30 = -12 -4x   ⇒   7x = -42   ⇒   x = -6

  3y -6 = -20 -4y   ⇒   7y = -14   ⇒   y = -2

The point that partitions the segment is (-6, -2).

__

Additional comment

The point that partitions AB in the ratio m/n is ...

  P = (mB +nA)/(m+n)

  P = (4(-3, -5) +3(-10, 2))/(4+3) = (-12-30, -20+6)/7 = (-42, -14)/7 = (-6, -2)

Above, we started from the basic requirement, rather than using the formula that results from that requirement.

Answer:

4cdb ( 6 − 9c )

Step-by-step explanation:

24cd = 4cd × 6

36c²d = 4cd × 9c

24cd − 36c²d = 4cd ( 6 − 9c )

Assume "in the event that p, q" is the given contingent assertion "in the event that ∼q, ∼p" is its contrapositive assertion. Consider the situation in which the conditional statement "if p, then q" serves as its converse statement.

Reversing the two statements that make up a categorical or implicational statement yields its opposite in logic and mathematics. The opposite of the implication P Q is Q P.

The converse statement (q p) and inverse statement (p q) of a conditional statement p q are equivalent to one another. The statement p q and its counter positive counterpart, q p, are equivalent.

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Answer:

y is equal to or greater than 1x

Step-by-step explanation:

Answer:

appt

Step-by-step explanation:

Answer:

answer in image blow

Step-by-step explanation:

If a train traveled 300 miles. The time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

Distance = Rate × Time

Time =Distance/Rate

1. 50 mph

Time = 300/50

Time = 6 hours

2. 70 mph

Time = 300/70

Time = 4.29 hours

3. x mph

Time = 300/x

Time = 300/x hours

4. (x+10)mph

300/(x+10) hours

5. (x-5)mph

300/(x-5) hours

Therefore the  time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.

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The translated vertices from the given vertices are:

A(3, -4) → A'(-2, -6)

B(-4, -2) → B'(-9, -4)

C(1, 1) → C'(-4, -1)

The translation rule for the coordinates of a graph is given by

(x, y) → (x + a, y + b)

Here the coordinates (x, y) are translated by (a, b) units.

The given vertices of a ΔABC are:

A(3, -4), B(-4, -2), and C(1, 1)

If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b)  is (-5, -2).

Thus,

A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)

B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)

C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)

Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).

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Answer:

Look at the image I attached to this answer for the answers.

This is a crossword puzzle on geometry terms and concepts, including lines, angles, and planes.

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The {-4, 0, 1} represents members of the domain of the graphed function.

What is the domain of the function?

A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.

A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.

The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.

The range refers to the outputs which are actually used.

We have,

collection of the ordered pairs represents a function:

{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)

a) Domain of the function is:

{ -2, -3, 0, 1/2, 1, 4, 100}.

b) Range of the function is:

{ 0, 9/5, 10, 19, 77,  100}.

Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77,  100}.

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Answer:

the answer is 10

Step-by-step explanation:

The value of the numerical expression 24 / (4 × 2 - 2) will be 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 24 / (4 × 2 - 2)

Simplify the expression, then we have

⇒ 24 / (4 × 2 - 2)

⇒ 24 / (8 - 2)

⇒ 24 / 6

⇒ 4

The value of the numerical expression 24 / (4 × 2 - 2) will be 4.

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