Claudia went to the concession stand at the baseball game and bought 3 hot dogs and 4 drinks. Her total
came to $18.50. Marco spent $18 for 4 hot dogs and 2 drinks. How much does a hot dog cost at this
concession stand? How much does a drink cost?

Answers

Answer 1

Answer: Hot dog = $3.50

Drink = $2.0

Step-by-step explanation:

Let the cost of a hot dog be x

Let the cost of a drink be y.

From the question above, we can form an equation as:

3x + 4y = 18.50 ....... i

4x + 2y = 18 ......... ii

Multiply equation i by 4

Multiply equation ii by 3

12x + 16y = 74 ...... iv

12x + 6y = 54 ...... v

Subtract v from iv

10y = 20

y = 20/10

y = 2

A drink cost $2

From equation ii

4x + 2y = 18

Recall that y = 2

4x + 2(2) = 18

4x + 4 = 18

4x = 18 - 4

4x = 14

x = 14/4

x = 3.5

A hot dog ost $3.50


Related Questions

Rewrite using a single positive exponent.
8
.8
-3

Answers

Answer: .8
Explanation: I hope this helps you !

What is 4 5/13 as a decimal rounded to the nearest tenth

Answers

Answer:

4.4

Step-by-step explanation:

4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...

Answer: 4.4

Answer:

4.4

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION! I haven’t got any answers for this question so please help!

Answers

Answer:

15 slices

5 slice more

Step-by-step explanation:

1 and 1/4 ÷ 1/12 = 15

5/6 ÷ 1/12 = 10

15 - 10 = 5

Solve the equation -25p – 2 = 48 for p.

A. -2
B. 1
C. 3
D. 8

Answers

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2

What is the value of the expression of 1.623/100

Answers

Step-by-step explanation:

1.623/100

=1.623×10^-2

or

=0.01623

Hope it helps

The square root of 5 , has a decimal expansion that does not end or repeat. To which set of numbers does it belong?

A. rational
B. Natural
C. Integer
D. Irrational

Answers

Answer:

Irrational numbers is correct.

The required square root of 5 is an irrational number.

Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.

What is a rational number?

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

What are irrational numbers?

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
√5 = 2.2360679775..
Which is an irrational number.

Thus, the required square root of 5 is an irrational number.

Learn more about rational numbers here:

https://brainly.com/question/17450097

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Find the perimeter of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

59.16  units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

[tex]P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16[/tex]

So, the perimeter of the shaded region is 59.16  units.

Anna makes a quilt by sewing together green, white, and yellow fabric. When she finishes, 2/6 of the quilt is green, and 3/6 is yellow. The rest is white. What fraction of the quilt is white? Show your work.

Answers

Answer:fraction of the quilt is white = 1/6

Step-by-step explanation:

Let the total quilt be  = 1 ( since we are dealing with fraction)

The portion of quilt that is green  2/6

The portion of quilt that is yellow  3/6

The portion that is white   = Total quilt  −( portion of quilt that is green and yellow)

=1−( 2/6 +  3/6 )

=1  −5/6

=1/6

Evaluate -4x^2 + 2x - 6 when x = -2.

Answers

Answer:

-26

Step-by-step explanation:

-4(-2)^2 + 2(-2) - 6

-4(4) + -4 - 6

-16 -10

-26

The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2

What is equation?

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Substitute the value x = -2 in the given equation

[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]

Hence, the value of the given equation is -26

To learn more about equation here

https://brainly.com/question/12263808

#SPJ2

Mary has a budget for groceries fuel, and utilities. She spent 30% of her budget in groceries if mary spent 42$ on groceries than how much is her budget

Answers

Given:

Mary spent 30% of her budget in groceries.

She spent 42$ on groceries.

To find:

The total amount of her budget.

Solution:

Let x be the total amount of the budget.

Then, the amount spent on groceries is 30% of x.

[tex]\dfrac{30}{100}x=0.3x[/tex]

She spent 42$ on groceries.

[tex]0.3x=42[/tex]

Divide both sides by 0.3.

[tex]x=\dfrac{42}{0.3}[/tex]

[tex]x=140[/tex]

Therefore, the total amount of the budget is 140$.

find the unknown value in the pair of equivalent fractions.
5/? = 15/45

Answers

5/15 but you can simplify it more into 1/3

Answer each question.

Answers

27 ..................

Help please its geometry

Answers

Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

2 24-5what is 24 - 2x wanted to 24 - 5 exponent ​

Answers

Answer:

24-5:x2

Step-by-step explanation:

im not sure

mark brainliest if it helps

Find the total surface area of the prism

Answers

Answer:

A. 88 square inches

Step-by-step explanation:

I hope this is right

Answer:

88in^2

Step-by-step explanation:

find the surface area of each surface

4 x 2 = 8

2 x 6 = 12

6 x 4 = 24

there is 2 of each type of surface so multiply by 2 then add all surface areas together

16 + 24 +48 = 88

The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.

Answers

Given:

The equation are

[tex]y=3x+2[/tex]

[tex]y=2x^2+7x-11[/tex]

To find:

The coordinates of intersection points.

Solution:

We have,

[tex]y=3x+2[/tex]          ...(i)

[tex]y=2x^2+7x-11[/tex]           ...(ii)

From (i) and (ii), we get

[tex]3x+2=2x^2+7x-11[/tex]

[tex]0=2x^2+7x-11-3x-2[/tex]

[tex]0=2x^2+4x-13[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].

Using quadratic formula, we get

[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]

Now,

[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]

[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]

[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]

Putting x=1.74 in (i), we get

[tex]y=3(1.74)+2[/tex]

[tex]y=5.22+2[/tex]

[tex]y=7.22[/tex]

Putting x=-3.74 in (i), we get

[tex]y=3(-3.74)+2[/tex]

[tex]y=-11.22+2[/tex]

[tex]y=-9.22[/tex]

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?

1. Use the known information to write a rate.
2. The train’s rate: StartFraction 320 miles over 4 hours EndFraction
3. Write an equivalent rate with a denominator of 1.
4. Unit rate:

5. Check: The product of the unit rate and the total time should equal the total distance

Answers

Answer:

80 miles per hour

Step-by-step explanation:

Answer:

80 mph

cheese

Step-by-step explanation:

How would you solve this?

Answers

It would have 3 solutions
if you solve the equation how it is, it give 1 solution but if you make the 1 negative you get 2 more possibilities

Answer:

The equation has three solutions:

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

x=1    

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

Step-by-step explanation:

||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1

|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1                                                |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1

|[tex]4^{x} - 3[/tex]| = 1+2                                                 |[tex]4^{x} - 3[/tex]| = -1+2

|[tex]4^{x} - 3[/tex]|=3                                                       |[tex]4^{x} - 3[/tex]| = 1

[tex]4^{x} - 3[/tex] =3                 [tex]4^{x} - 3[/tex] = - 3                     [tex]4^{x} - 3[/tex] = 1                 [tex]4^{x} - 3[/tex] = - 1

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]        x∉∅                                x=1                           [tex]x = \frac{1}{2}[/tex]

The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

I hope this is clearly and understandably written to you :)

2+5.67890654321678-5432

Answers

-5,424.3 ...............

Lilo has 1,000 minutes per month on her cell phone plan. Write and solve an inequality showing the maximum number of minutes that Lilo can use it not be charge extra on her cell phone plan when she only used 615 minutes.

Answers

Answer:

Lilo has a maximum of 385 minutes to use on her cell phone.

A ≤ 385

Step-by-step explanation:

Let letter A represent the additional number of minutes that Lilo can talk

A + 615 ≤ 1,000

subtract 615 from both sides

A + 615 - 615 ≤ 1,000 - 615

A + 0 ≤ 385

A ≤ 385

Lilo has a maximum of 385 minutes to use on her cell phone.

A + 615 ≤ 1,000; A ≤ 385

Frost used 4 2/3 gallons of paint to paint 1 2/5 of a shed how many gallons of paint will it take to paint a whole shed?

Answers

Answer:

1 2/5

Step-by-step explanation:

Find the simple interest paid on a loan of $4,750 at a rate of 19.5% for 30 months.

Answers

Answer:

Monthly Payment $201.31

Total Interest Paid $1,289.26

Total Paid $6,039.26

Step-by-step explanation:

Simplify the expression. 9.6r - 6.3r = ​

Answers

3.0 r is the answer
9.6r- 6.3 is 3.0 r

3.0 r is the answer

Step-by-step explanation: I help ;)

what is the table rule​

Answers

Answer:

x+4 = y

Step-by-step explanation:

Pretty simple

The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?

Answers

I don’t know how to help but I can try I think it would take 800 dollars

use the following values for x {-1 ,0 , 1 , 2 } for the function f{x} = 4x+3 to make a function table

please help me , and thanks

Answers

Answer:

f(x)= -1

f(x)= 3

f(x)= 7

f(x)= 11

Step-by-step explanation:

You need to add the values of x into the function

f(x)= 4(-1) + 3

f(x)= 4(0) + 3

f(x)= 4(1) + 3

f(x)= 4(2) + 3

In XYZ, X = 57 cm, z = 54 cm and ZZ=112°. Find all possible values of ZX, to the
nearest degree

Answers

Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

Answer:

102

Step-by-step explanation:

sinA/a = sinB/b

sin x /57=sin 112/54

0.9786941

sin ^ -1 (0.786941)=78

180- 78=102

HELP please I don’t know what to do

Answers

Answer:

47 degrees

Step-by-step explanation:

180-133=47

Answer:

∠Q = 44°

Step-by-step explanation:

∠R = 180° - 133°  = 47°

∠Q = 180° - 89° - 47° = 44°

Please help, we only have about a few minutes left.

Answers

i think she ate 1/2 i think

The value of 3° is
its from the chapter exponenets

Answers

Answer:

1

Step-by-step explanation:

=>. the value of 3° = 1

=> it is known to us that any number to the

power zero is equals to 1

hope it helps

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