At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answer:

A and C

Step-by-step explanation:

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

__________________________________________________________

Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.

Answer:

Vertex form:  y = -2(x - 1)²

Standard form: y = -2x² + 4x - 2

Step-by-step explanation:

Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:

We can determine the equation by substituting these given values into the vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.

(h, k) = vertex

Use vertex: (1, 0) and y-intercept, (0, -2):

y = a(x - h)² + k

-2 = a(0 - 1)² + 0

-2 = a(-1)²

-2 = a(1)

-2 = a

The quadratic equation in vertex form that matches the graph is:

y = -2(x - 1)² + 0 or  y = -2(x - 1)² ⇒ This is the quadratic equation in vertex form.

To transform the vertex form into the standard form, y = ax² + bx + c:

Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:

y = -2(x - 1)²

y = -2(x - 1)(x - 1)

y = -2(x² -2x + 1)

y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.  

Multiply the original dimensions by the scale:

8 x 3.5 = 28

6 x 3.5 = 21

New dimensions:  length = 28, width = 21

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

Answer:

31.35%

Step-by-step explanation:

In the box, there are:

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

= 5

= 16

[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]

For showing it as some percent we'll just multiply the fraction by 100

[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]

Answer:

(-8.-9) and (14,13).

Step-by-step explanation:

y=x-1

y=117/x-5

As the 2 terms in x are both equal to y:

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

The required coordinate points are (-8.-9) and (14,13).

Given the following equations

y=x-1

y=117/x-5

Equating both function will give

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

Hence the required coordinate points are (-8.-9) and (14,13).

Learn more on intersection of function here: https://brainly.com/question/343077

Answer:

0.111

Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

Answer:

  yes

Step-by-step explanation:

The root of the given linear equation can be made to be a repeated root of a quadratic equation:

  (8x -1)² = 0

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

Answer:

203 i just did it

Step-by-step explanation:

Answer:

the answer is 203

Step-by-step explanation:

Just got it right on edge 22

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

Answer:

A

Step-by-step explanation:

876 divided by 43 = 20

and the remainder is 16

in the case of other options, the quotients are correct but the remainders are wrong.

Therefore, A is the option with both correct quotient and remainder.

The opposite of -1.9 on a number line would be 1.9.

The opposite of the opposite of -1.9 would be -1.9.

That is a super weird trick question... what kinda teacher would give that to you???

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

where is the Question!!!

can you plz give me brainliest I really need it

Your question is incomplete.

Please if you need help I will try to help you :)

Have a Good Day.

Answer:

maybe A

Step-by-step explanation:

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

Answer: 5 1/15 feet

Step-by-step explanation:

For this you have to add fractions.

First find a common denominator between the factions which can be will turn into 15.

The fraction is now: 1 10/15 + 3 6/15

Now that the denominator is the same add the fractions.

1 10/15 + 3 6/15 = 5 1/15

Make the answer negative since its under sea level

Answer = -5 1/15 feet

Answer:

1.8 meters

Step-by-step explanation:

It was easy for me

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

Step-by-step explanation:

a full circle (turning around a point a full turn) is 360°.

so, all these angles together must be 360°.

90 + 33 + 165 + 20 + x = 360

308 + x = 360

x = 52°

Answer:

The baker baked 375 loaves of bread that day.

Step-by-step explanation:

The baker baked a total of x loaves of bread.

240 loaves were sold by the end of the day.

The baker was then left with 9/25 of the number of loaves that were baked.

We get the equation:

x-240 = 9x/25

When you solve the equation, you will see that x=375.

Therefore, the baker baked 375 loaves of bread that day.

Answer:   The number is -20

Step-by-step explanation:

Take each part of the sentence and write what it is telling us:

3 less than the quotient of a number and 5 is -7

The quotient of a number and 5 is (X/5), where X is the "number."

3 less than  is (X/5) - 3

is -7  is = -7

Therefore:

3 less than the quotient of a number and 5 is -7 is:  (X/5) - 3 = -7

---

(X/5) - 3 = -7

(X/5)  = -4

X = -20

===

See if this works:

3 less than the quotient of -20 and 5 is -7

(-20/5) = -4

Three kless than -4 is -7:  It works

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

Step-by-step explanation:

angle 1 = 73°

angle 2 = 107°

angle 3 = 73°

angle 4 = 107°

angle 5 = 73°.

hope this helps you.

Answer:

[tex]f(-2)=-17[/tex]

Step-by-step explanation:

[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]

f(x) = 2x² - 15

f(-2) = ?

Substitute -2 in the place of x.

f(x) = 2x² - 15

f(-2) = 2(-2)² - 15

f(-2) = 8 - 15

f(-2) = -7

______

Hope it helps :)) ⚜

y=-4/3x-9

hope it helps