Juan's family and Ethan's family go to a food stand.
• Juan's family buys three hot dogs and four drinks for $18.50.
• Ethan's family buys five hot dogs and four drinks for $25.50.
What is the cost of one drink at the food stand?

Answers

Answer 1

Answer:

1 hotdog is $3.5.

1 drink is $2.

Step-by-step explanation:

18.50= 3x+4y(times 5)

25.50=5x+4y(times -3)

92.5=15x+20x

-76.5=-15x+-12y

16=-8y

2=y

18.50=3x+4(2)

10.50=3x+8

10.50=3x

3.5=x

           


Related Questions

Find the range of the graph below

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The range for the given function is ~

[tex]\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9[/tex]

Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).

You want to estimate the height of LSC-CF students. You choose a random sample of 100 students and find that the mean height of these students is 66 inches, with a S of 3 inches. Calculate a .95 confidence interval for LSC-CF students.

Answers

Answer:

1.35 to nearest whloe ounce

help pls I give brainiest

Answers

a hexagon has 720 degrees of interior angles

A bag contains ten titles labeled B, C, D, E, F, G, H, I, J, and K. One time will be randomly picked. What is the probability of picking a vowel? Write your answer as a fraction in the simplest form.

Answers

1/5 is in simple form

2 vowels in 10 letters
2/10 simplified is 1/5

Kilograms represented by the mass defect for thorium-234 = 3.09 × 10-27 kg what is the nuclear binding energy for thorium-234? 2.78 × 10-10 j 3.36 × 10-14 j 1.67 × 1017 j 5.35 x 10-23 j

Answers

The nuclear binding energy for thorium -234 is  2.78 × 10-10 j

We have given that,

Kilograms are represented by the mass defect for thorium

-234 = 3.09 × 10-27 kg

To determine the nuclear binding energy for thorium -234.

What is the relation between Mass defect and binding energy?

ΔE = Δmc^2

Where

ΔE = binding energy

Δm = mass defect

c = speed of light

mass defect = 3.09×  10^-27 kg

We know that the speed of light = 3 × 10^8 m /s

[tex]\Delta E \\= 3.09\times 10^{-27} kg (3 \times 10^8 m /s)^2 \\= 2.781 \times 10^{-10} J / Kg[/tex]

Therefore, the nuclear binding energy for thorium -234 is  

2.78 × 10-10 j

To learn more about the energy visit:

https://brainly.com/question/9367965

.

Answer:

The nuclear binding energy for thorium -234 is  2.78 × 10-10 j

Step-by-step explanation:

Please help
Workout a b and c

Answers

Answer:

a=21° b=70°

Step-by-step explanation:

a=21°(Vertically Opposite Angles)

b+110°=180° (linear pair)

b=180-110

b=70°

[please mark me brainliest]

Answer:

a = 21°

b = 70°

c = 89°

Step-by-step explanation:

angle of measure b and the angle of measure 110 are two supplementary angles

Then b + 110 = 180

Therefore b = 180 - 110 = 70°

angle of measure b and the angle of measure 21 are two opposite angles

Then a = 21

We Know that the sum of the interior angles of a triangle equal to 180

Then a + b + c = 180

Therefore c = 180 - a - b = 180 - 21 - 70 = 159 - 70 = 89°

what two numbers that can multiply into 60 and add into 19

Answers

Answer:

15 and 4

Step-by-step explanation:

we must first find the Factors:

1,    2,    3,   4,    5

60, 30, 20,  15,  12

Now we can add them to find what adds to 19

1+60 = 61

2+30 = 32

3+20 = 23

4+15 = 19

The two numbers are 4 and 15 because 4x15=60 and 4+15=19.

Calculate the mean of the data set below. 28,40,53,39,45

Answers

Answer: 41.

Step-by-step explanation: To find the mean of a data set, you first need to add all the numbers together.  It should look like this:

28 + 40 + 53 + 39 + 45 = 205.

The next step is to divide 205 by how many numbers you have in the data set.  In this case, you have 5 numbers in the data set.  Your work should look like this:

205 / 5 = 41.

Therefore, the mean of the data set is 41.

Hope this helps! :)

need help asap please​

Answers

Answer:

5 : 7

Step-by-step explanation:

First figure  surface    a * a * 6  = 6 a^2

  now scale the dimesion by x

      ax * ax * 6 =  6 a^2 x^2

                        =  150 x^2   = 294

                           x^2 = 294/150

                            x = 7 : 5      is th ratio of the larger to the smaller

               

What is 7/3 times 5/3 times 11/3 simplified?????

Answers

Answer:

14.26

Step-by-step explanation:

7/3 x 5/3 x 11/3 = 7(5)11/(3³)

35 x 11 = 385/27

385 / 27 = 14.26

Can someone help me with this?

Answers

2u+14

hope it helps...!!!

When the research hypothesis posits that there is a nondirect relationship between two variables, the test is ______. a. nondirectional b. one-tailed c. two-tailed d. negative

Answers

Answer:

c. two-tailed

Step-by-step explanation:

i think its this because i say so now trust :)

What is the surface area of the milk carton
to the nearest square inch? Check your
answer for reasonableness.

Answers

Answer:

280 in ^2

Step-by-step explanation:

Hi ok heres how I did this:

SA of rectangular prism: S = 2(lw + lh + wh)

SA of triangle top thing(whats it called???): Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

So basically for the square part, the surface area is

2(4*4+4*12+4*12), or 224

For the triangle part, the surface area is

4+4+4, or 12*4+2*4, or 48+8, or  56

224+56=280

The thing is I don't know why it says round though. Theres a chance its incorrect if they want something with a decimal. Let me know.

find the volume of the cylinder. round your answer to the nearest tenth. 7 inches and 6 inches.

Answers

[tex]\pi r^{2}[/tex]Answer:

You must know the radius but...

Step-by-step explanation:

The formula to find volume of a cylinder is: B*h

B= area of base

h=height

To find the area of the base you need to know the radius since the formula to find area of a circle is: [tex]\pi r^{2}[/tex]

Once you find the area of the base you just multiply it by the height


7. Janine rented an apartment for $900 a month. After a year, she bought a house with a monthly mortgage of $1,250. At the end of the year, she is able to deduct $4,900 in real estate taxes and $8,400 in interest. Janine's
taxable income is $42,000. Using the tax schedule below, how much was she able to save on her taxes due to her home ownership?

Answers

$2,940.00

Yw and pls mark me brainiest

rewrite the equation by completing the square, 4x^2-4x+1=0,

Answers

Answer:

(x-0.5)^2=0

Step-by-step explanation:

x^2-x+0.25=0

(x-0.5)^2=0

Estimate 31+65 over 9.7

Answers

Answer:

9.9

Step-by-step explanation:

31

+ 65

96

96/9.7=

9.89 =

9.9

Hey there!

31 + 65 / 9.7

= 96 / 9.7

= 9.896907



31 ≈ 30

65 ≈ 70

9.7 ≈ 10
9.896907 ≈


30 + 70 / 10

= 100 / 10

= 10


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please answer this DO NOT POST A LINK I will report you if its a link. please help :(

Answers

Answer:

21

Step-by-step explanation:

10-(3×2²-23) = 21

10- -11

10+11=21

(1+10²)=101

2²×5²=100

101-100=1

²¹/1 = 21

what is the LCM for 9 and 12

Answers

36! goodluck hope it good

Fleur has 32 collectable playing cards. 3/8 of the playing cards are red. 2/8 of the playing cards are blue. The rest were green. How many of the playing cards were green? Explain how you found your answer.

Answers

3/8 of 32 would be 12, and 2/8 of 32 would be 8. Because these fractions are different colors, you could add them to get 20, then subtract 32 - 20 to get 12. Therefore, 12 of the cards were green (or 3/8). You could also find the answer by thinking of it in terms of fractions only; 3/8 + 2/8 = 5/8, which means the other 3/8 adds up to 32 cards. As mentioned above, 3/8 of 32 is 12, so again, 12 playing cards were green. Hope this was helpful and understandable for you!

!!! 20 POINTS !!!
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.

Find the rental cost for each movie and video game.

Answers

Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25

Explanation:

m = rental cost of each movie
g = rental cost of each game

Set up:

8m + 4g = 37
3m + 2g = 17

Modify for elimination:

3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136

Subtract:

24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25

Divide:

4g = 25

g = 25/4

g = 6.25

So each game is $6.25

Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie

3m + 2 (6.25) = 17 (multiply 2 & 6.25)

3m + 12.50 = 17 (subtract 12.50 from sides)

3m = 4.50 (divide both sides by 3)

m = 1.50

So each movie rental is $1.50

Tell which letter shows the graph of the number.

Answers

Answer:

Your answer is correct. It is letter A

Step-by-step explanation:

7/9= 0.778

Hence, A

Last week, the price of apples at a grocery store was $1.06 per pound. This week, apples at the store are on sale at a 10% discount. What is the total price of 4/1/2 pounds of apples this week at the grocery store?

Answers

Answer: $6.48

Step-by-step explanation:

1.60 * 0.1 = $0.16

1.60 - 0.16 = $1.44

1.44 * 4.5 = $6.48

what is pi and why do we need it

Answers

Answer:

Pi is a mathematical term we need under the circumstances of solving complex math problems.

Answer:

pi explains everything

Step-by-step explanation:

pi goes on forever, so u could look in pi and find your birthday and even your name (in letter/number code : a=1 z=26 etc...) its pretty cool

3.0 × 10^{8} ms− 1 i need the answer to this question please

Answers

Hey there!

3.0 * 10^8

= 3.0 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10

= 3.0 * 100 * 100 * 100 * 100

= 3.0 * 10,000 * 10,000

= 3.0 * 100,000,000

= 300,000,000



Therefore, your answer is:

300,000,000

Good luck on assignment & enjoy your day!


~Amphitrite1040:)

expand and simplify 2(3a-5b +4 (a+2b)

Answers

Answer:

14a + 6b

Step-by-step explanation:

To expand use distributive property. a*(b +c) =a*b +a *c

Simplifying an expression

2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)

                                  = 2*(3a - 5b + 4a + 8b)

                                  = 2* (3a + 4a - 5b + 8b)

Combine like terms.  To combine like terms, add or subtract the coefficient of the variables. 3a and 4a   & (-5b) and 8b are like terms  

                                 = 2*( 7a + 3b)  

                                 = 2*7a + 2*3b

                                 = 14a + 6b

Hey there!


2(3a - 5b) + 4(a + 2b)

= 2(3a - 5b) + 4(1a + 2b)

= 2(3a) + 2(-5b) + 4(1a) + 4(2b)

= 6a - 10b + 4a + 8b

= (6a + 4a) - (10b + 8b)

= 6a + 4a - 10b + 8b

= 10a - 2b


Therefore, your answer is: 10a - 2b


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

5. Two buses leave Bangor at the same time and travel in opposite directions. One bus
averages 57 mi/h and the other bus averages 43 mi/h. After how many hours will the buses be
450 mi apart?

Answers

Two buses left so that means the original amount left which will leaves you with the amojnt 57

Find the lateral area of the cone

Answers

Answer:

I think

Step-by-step explanation:

25x9

is 225

which should be it

Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers

Only answers needed

Answers

Answer:

Card 9: 62.8 Card 10: 235.5 Card 11: 79.94 Card 12: 230.79

Step-by-step explanation:

Find the 43rd term of the algebraic sequence if a21 = −32 and a50 = −119.
PLEASE REALLY NEED HELP WITH THISSSS
70 POINTS!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

- 98

Step-by-step explanation:

Given

[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]

Find [tex]a_{43}[/tex]

We know that

[tex]a_n=a_1+(n-1)d[/tex]

Appy this to the two known terms and find the first term and the common difference

[tex]a_1+20d=-32[/tex] ⇒ [tex]a_1=-20d-32[/tex]  [tex]a_1+49d=-119[/tex] ⇒ [tex]a_1=-49d-119[/tex]

Find the coomon difference

-20d - 32 = - 49d - 11949d - 20d = 32 - 11929d = - 87d = - 87/29d = - 3

Find the first term

a₁ = - 20(- 3) - 32 = 60 - 32 = 28

Now find the 43th term

a₄₃ = 28 + 42(- 3) = 28 - 126 = - 98

Answer:

-98

Step-by-step explanation:

General form of an arithmetic sequence:

  [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given:

[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]

To find the 43rd term we need to construct an equation for the nth term.  To do this, find the first term and the common difference by substituting the given information into the general formula to create a system of equations that can be solved.

[tex]\begin{aligned} \underline{\textsf{Equation 1}}} \\ a_{21} & =-32 \\ \implies a+(20-1)d & = -32 \\a+20d & =-32 \end{aligned}[/tex]

[tex]\begin{aligned} \underline{\textsf{Equation 2}}} \\ a_{50} & =-119 \\ \implies a+(50-1)d & = -119 \\a+49d & =-119 \end{aligned}[/tex]

Subtract Equation 1 from Equation 2 to eliminate a:

[tex]\begin{array}{r l}a+49d & = -119\\- \quad a+20d & = -32\\\cline{1-2}29d & = -87\end{aligned}[/tex]

Solve for d:

[tex]\implies d=\dfrac{-87}{29}=-3[/tex]

Substitute the found value of d into one of the equations and solve for a:

[tex]\implies a + 20(-3)=-32[/tex]

[tex]\implies a=28[/tex]

Substitute the found values of a and d into the general formula to create an equation for the nth term:

[tex]\implies a_n=28+(n-1)(-3)[/tex]

[tex]\implies a_n=31-3n[/tex]

Finally, substitute n = 43 into the found formula to find the 43rd term of the sequence:

[tex]\implies a_{43}=31-3(43)=-98[/tex]

Learn more about arithmetic sequences here:

https://brainly.com/question/27806372

https://brainly.com/question/27783089

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