Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?

9514 1404 393

Answer:

  P(x) = (2x)(x)(x-4)(x+2)

Step-by-step explanation:

Once the common factor of 2x^2 is factored out, you have ...

  P(x) = 2x^2(x^2 -2x -8)

To factor the quadratic, you look for factors of -8 that have a sum of -2.

  -8 = (1)(-8) = 2(-4)

These last factors have that sum, so we can write P(x) as ...

  P(x) = (2x)(x)(x +2)(x -4)

4

four

This is the answer.

Thanks for free points.

Answer

b

Step-by-step explanation:

Answer:

1.18

Step-by-step explanation:

13/11.05=1.176

it rounds to $1.18

Im sorry if its wrong

1 time

I am not really sure

hope this helps

Answer:

0nce

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

We need to find how many trips it will take to transport 58 cars

The explanation is simple:

58 / 6 = 9.6 repeating

So we round that quotient up to 10.

So the transport truck will need to take 10 trips to transport all 58 cars.

Answer:

r

Step-by-step explanation:

Answer:

D.  Z

Step-by-step explanation: Just took the practice test

75%.

3 out of 4 means 3/4

And if you divide 3/4 the answer is .75

So multiply by 100( because to convert decimal to percent you have to multiply by 100, or move the decimal place two places to the right) and you get 75

Slap a percent sign on there and you have 75%

Answer:

{x,y,z}={5,−3,3}

Step-by-step explanation:

  [1]    2x + 4y + z = 1

  [2]    x - 2y - 3z = 2

  [3]    x + y - z = -1

// Solve equation [3] for the variable  y  

 [3]    y = -x + z - 1

// Plug this in for variable  y  in equation [1]

  [1]    2x + 4•(-x +z -1) + z = 1

  [1]    -2x + 5z = 5

// Plug this in for variable  y  in equation [2]

  [2]    x - 2•(-x +z -1) - 3z = 2

  [2]    3x - 5z = 0

// Solve equation [2] for the variable  x  

 [2]    3x = 5z

 [2]    x = 5z/3

// Plug this in for variable  x  in equation [1]

  [1]    -2•(5z/3) + 5z = 5

  [1]    5z/3 = 5

  [1]    5z = 15

// Solve equation [1] for the variable  z  

  [1]    5z = 15

  [1]    z = 3

// By now we know this much :

   x = 5z/3

   y = -x+z-1

   z = 3

// Use the  z  value to solve for  x  

   x = (5/3)(3) = 5

// Use the  x  and  z  values to solve for  y  

 y = -(5)+(3)-1 = -3

Solution :

{x,y,z} = {5,-3,3}

Answer:

84

Step-by-step explanation:

none

The number of blue marbles are 126 and the number of red marbles are 24.

Given that, a bag contains 150 marbles.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

There are 21 blue marbles for every 4 white marbles.

Here, the ratio of blue marbles to red marbles is 21:4

The number of blue marbles = 21x and the number of red marbles =4x

So, 21x+4x=150

⇒ 25x=150

⇒ x=150/25

⇒ x=6

Then blue marbles=21x=126 and red marbles = 4x =24

Therefore, the number of blue marbles are 126 and the number of red marbles are 24.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ3

"Your question is incomplete, probably the complete question/missing part is:"

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

Answer:

The function is:

f(x) = x^3 - 4*x^2 - 3*x + 18.

Below, you can see the graph of the function.

The statements that are true are:

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.

f'(x) = 3*x^2 - 8*x - 3

As the leading coefficient is positive, the arms oppen up, and f'(0) = -3

Then is easy to see that from left to right, is positive, then negative, and then positive again.

The domain and range of the function are the set of real numbers.

For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.

And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).

The function has a double root.

Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)

Answer:

B), C), and E)

Step-by-step explanation:

Edge 2021

Answer:

1426.00

Step-by-step explanation:

Answer: $216

Step-by-step explanation:

Hope it helped

Answer:

base = diameter

Step-by-step explanation:

if  the surface area of the cylinder is 800...

the height is 15... then the formula must be 3.14 x 15 x R2

r squared is supposed to be the square of the radius of the cylinder\

conclusion:     3.14 x 15 x R2 is 800_

Answer:

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

Step-by-step explanation:

hope this helps

Answer:

10.41 - 1.25 = x

x / 4 = answer

(the answer is $2.29 per chip bag)

Step-by-step explanation:

;3

Answer:

x=5

Step-by-step explanation:

2x + 7 = 5x - 8 (x - 4)

Distribute

2x+7 = 5x - 8x +32

Combine like terms

2x+7 = -3x+32

Add 3x to each side

2x+7+3x = -3x+32+3x

5x+7 = 32

Subtract 7 from each side

5x+7-7 = 32-7

5x = 25

Divide by 5

5x/5 = 25/5

x=5

Answer:

10000

Step-by-step explanation:

10*10=100

10*10=100

100*100=10000

Answer:

Step-by-step explanation:

[tex]10^{4}[/tex]

=> 10, 4 times

=> 10 * 10 * 10 * 10

=> 10000

=>10,000

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:The answer is C OR –18 ÷ –2.54

Step-by-step explanation:

i got the question right

Answer:

26

Step-by-step explanation:

184-158=26

Answer:

The indifference point is 20 gallons.

Step-by-step explanation:

Giving the following information:

Quik-Clean Car Wash:

$15 for a car wash plus $2.50 per gallon for unleaded gasoline.

Mighty Clean Car Wash:

$10 for a carwash plus $2.75 per for unleaded gasoline.

First, we need to structure the total cost formula:

Quik-Clean= 15 + 2.5x

Mighty Clean= 10 + 2.75x

x= gallon of gasoline

Now, we equal both formulas and isolate x:

15 + 2.5x = 10 + 2.75x

5 = 0.25x

20 = x

The indifference point is 20 gallons.

Prove:

Quik-Clean= 15 + 2.5*20= $65

Mighty Clean= 10 + 2.75*20= $65

Answer:

she filled 80 pages with 5 left over

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

1) first write it down --> 11x-2+9x+1=19x+3

2) then combine like terms on the left side of the equation. --> 20x-1=19x+3

3) Then subract 19x on both sides --> x-1=3

4) After add 1 to both sides --> x=4

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]

  [tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

Testing the hypothesis, it is found that:

1. e. a t-test because the SD of the population is unknown.

2. B. That the average temperature in the population is 98.6.

3. C. That the average temperature in the population is less than 98.6.

4. The standard error is of 0.3.

5. The test statistic is t = -1.67

6. There are 8 df.

We have the standard deviation for the sample, hence, a t-test should be used.

At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.

At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.

In this problem:

The standard error is of:

[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:

[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]

[tex]t = -1.67[/tex]

The amount of degrees of freedom is one less than the sample size, hence there are 8 df.

A similar problem is given at https://brainly.com/question/13873630

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2

Answer:

16, x+4^2

Step-by-step explanation:

To find the perfect square with an A factor of 1, just double the next number.

Answer:

The answer would be: -0.01

Step-by-step explanation:

1) State what is given

AM = 5x -2 and MB = 2x +19

2) Make an equation that can satisfy the problem

AM + BM = AB

This is the equation, because if I am to put this on a line,

A                        M                         B

-_____________-_____________-

You can see that is you combine the lengths AM and BM you can find the total length of  AB.

A                        M         +           M                        B    

-_____________-          +           -_____________-

(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)

3) Substitute

(5x - 2) + (2x + 19) = AB

4) Now Solve!

5x - 2 + 2x + 19 = AB

(Rearrange to combine like terms)

5x + 2x + 19 - 2 = AB

7x + 17 = AB

(That is your equation to find AB! But they want the specific length)

So...

We solve it!

7x = -17

(By moving the 17 to the other side of the = sign, it becomes negative)

7x = -17

7       7

(Dividing both sides by 7 in order to get x alone)

x = -2.43

(I rounded to the hundredths place)

Now substitute that into x into you original equation)

5(-2.43) - 2 + 2(-2.43) + 19 = AB

-12.15 - 2 - 4.86 + 19 = AB

-14.15 - 4.86 + 19

-19.01 + 19 = -0.01

= -0.01

(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)

(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)

Answer:

6 bags of chips for 1.20

Answer:

Y=2x-6

Step-by-step explanation:

Linear equation in two variables represents a line.