At the baseball game, the Gregory's bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart's purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?

Answers

Answer 1

Answer:

1 hot dog costs $3.50

Step-by-step explanation:

Represent Hot dog with x and Hamburger with y

Gregory's purchase:

[tex]5x + 2y = 27[/tex] --- (1)

Hart's purchase:

[tex]3x + 4y = 29.5[/tex] ---- (2)

Required

Find x

To do this, we'll make use of the elimination method of solving simultaneous equation.

Start by multiplying (1) by 2

2 * ([tex]5x + 2y = 27[/tex])

This gives:

[tex]10x + 4y = 54[/tex] ---- (3)

Subtract (2) from (3)

[tex]10x + 4y = 54[/tex]

- ([tex]3x + 4y = 29.5[/tex])

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

[tex]7x = 24.5[/tex]

Solve for x

[tex]x = \frac{24.5}{7}[/tex]

[tex]x = 3.5[/tex]

Hence:

1 hot dog costs $3.50


Related Questions

Aubrey jarred 24 liters of jam after 4 days. How much jam did Aubrey jar if she spent 5 days making jam? Assume the relationship is directly proportional.

? liters
I NEED HELP PLZ I WILL GIVE MORE POINTS I NEED 20 MORE POINTS TO GET FROM A 64 TO AN 80

Answers

30 liters
your welcome

GMM
The numbers are
36
X
And 46 degrees

Answers

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct

There are some pencils and erasers in a
box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?

Answers

Answer:

There are 8 erasers in the box

Step-by-step explanation:

given that the Ratio of pencils to erasers is  3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

[tex]\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8[/tex]

Hence,

There are 8 erasers in the box

Find y
A. 18
B. 12
C. 6
D. 4.5

Answers

Answer:

D. 4.5

Step-by-step explanation:

brainest plz

what the approximate solution y = −0.5x + 4 y = 1 + 2x

Answers

Answer:

x=1.2,y=3.4

Step-by-step explanation:

Answer:

=(-6/11,-1/11)

Step-by-step explanation:

What is the slope of the line that contains Points (-3,-5) and (2, 7)?

Answers

Answer:

12/5

Step-by-step explanation:

Answer: there is no valid slope. unless you have a fraction for the b

Step-by-step explanation:

Can someone explain Slope to me? I literally have no idea what is from my teacher or from Aleks. I don't get what y1 and y2 are and i don't get what rise or run is. I have no idea how to get slope (brainliest for whoever explains a function too)

Answers

Yeah, I know Alex sucks. SO slope is the change in Y over x. So to find slope for ex. is lets use points (8,4) and (6,5) the equation to find slope is Y2-Y1 over X2-X1 or Y2-Y1 / X2-X1 and that basically the y's on the points you have. In this case it will be 4 and 5 since y always comes second or after the x. What I like to do is this X1(8), Y1(4) and X2(6), Y2(5). After you have that set up you just put them in the equation it will be 5-4/6-8 which is -1/2 use calculator. So Y is the y-axis and X is the x-axis.

Function is when every input(x) has only one output(y) . For example if we have the table

X,1 , 4 , 5, 9, 10 this is not a function because the -3 has both 9 and 10 for an output.

Y,2, 6 ,6, -3 , -3

A function will look more like this

1 2 3 4 5 6

2 4 6 8 10 12 every output has only one input

I recommend to watch Brian McLogan on youtu he can really help. Just search anything then his name. Or even Function then his name he explains it really well.

Somebody can help me with this ,, I’m going to really appreciate Is function,,, Algebra

Answers

Answer: b

Step-by-step explanation:

itssssssss b :)))))))))(

find the answer
x=Cm

Answers

Answer:

x = 16cm

Step-by-step explanation:

[tex]C^{2}[/tex] - [tex]A^{2}[/tex] = [tex]B^{2}[/tex]

[tex]20^{2}[/tex] - [tex]12^{2}[/tex] = 256

[tex]\sqrt{256}[/tex] = 16

z= 77-27.8i
what are the real and imaginary parts of z

Answers

Answer:

49.19

Step-by-step explanation:

simple

Answer:

b on khan

Step-by-step explanation:

In a family of 11, what is the probability that there will be more boys than girls

Answers

Answer:

P(all female)= 1/2 x 1/2 x 1/2 = 1/8

P(all male ) = 1/2 x 1/2 x 1/2 = 1/8

P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4

What is the probability that a three-child family is two girls and one boy?

Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.

So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.

This allows us to write the overall gender probability distribution for families of three children as follows:

1/8 will be three girls

3/8 will be two girls and one boy

3/8 will be one girl and two boys

1/8 will be three boys

Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)

Step-by-step explanation:

question is in picture ​

Answers

Answer:

F=-6

Step-by-step explanation:

2f/2=-12/2

f=-6

Answer: -6

Step-by-step explanation:

what times 2 = -12

2 * -6 = -12

What is the value of x?
4x+2-(3+3x)=7

Answers

Answer:

x= 8

Step-by-step explanation:

Step 1- Distribute into the parenthesis by 1.

4x+2+3(-1)+3(-1)x= 7

Step 2- Simplify.

4x+2-3-3x= 7

Step 3- Add common variables.

(4x-3x)+(2-3)

1x-1= 7

Step 4- Add 1 to both sides.

1x-1= 7

 +1  +1

1x= 8

Step 5- Divide both sides by 1.

1x= 8

1    1

x= 8

Can you give me a Brainliest

plz plz plz plz plz plz

Answer:x=8

Step-by-step explanation:

4x+2-(3+3x)=7

Distribute -1 in parentheses because there is an invisible 1

4x+2-3-3x=7

Combine like terms

X-1=7

Add one on both sides

x=8

Which line is a line of symmetry for the triangle?

A. A
B. D
C. B
D. C

Answers

Line B I think is the answer :)

ALOT OF POINS MARKING AS BRAINLIST

Answers

chile anyways so hehhejjakwkw

Answer:

c

Step-by-step explanation:

One interior angle of a regular octagon is

Answers

Answer:

135 degrees

To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.

The General Rule

Shape Sides Each Angle

Octagon 8 135°

Nonagon 9 140°

... ... ...

Any Polygon n (n−2) × 180° / n

Given the following diagram where BLUE is a rectangle, find the measure in degrees of

Answers

What diagram there nothing there?

NEED HELP ASAP!! PLEASE
Please look at image before answering.

Answers

Answer:

B

Step-by-step explanation:

i pretty sure its a might be wrong tho but im pretty sure.

Sofia exchanged 1,000 US dollars for the currency of South Africa, which is called the rand. The exchange rate was 7.45 rand to $ 1.

Part 1 of 2
How many South African rand did Sofia get? Explain how you know.

For every $ 1 that Sofia exchanges,____ she received _____
rand. So, you multiplied $ 1,000 ×______=?
. Sofia got _____
rand.

Answers

For every one dollar, she gets 7.45 rand, she received $7450
1000x7.45

tried taking a photo and fail but any ways 16 - 2t = 5t + 9

Answers

ooo among us!! i was just looking at some fan art of it.. also love your pfp! who is it? if u don't mind me asking I would love to watch the show if it.. or at least know the person :D

anyway.. happy day/night ~

t = 1 (I hope this helps)
16-2t=5t+9
+2t +2t
16=7t+9
-9 -9

7=7t

(Divide both sides by 7)

t=1

What is the slope in the equation? y + 2 = 5(x - 1)​

Answers

Answer:

m=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Let's write the equation in the slope-intercept form by solving for y.

y + 2 = 5(x - 1)

y = 5x - 5 - 2

y = 5x - 7

Answer: The slope is 5

What does the slope represent in this situation

Answers

Answer:The slope represents ur mom

Step-by-step explanation:

4(m-1)=8(m+1)+12

step-by-step pls

Answers

To solve for m?
4(m-1)=8(m+1)+12
4m-4 = 8m+8+12
-8m+4 -8m+4
—————————-
-4m = 0+12+12
-4m/-4 = 24/-4
m = -6



Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks.

Her class uses 2 of the glue sticks for a project.

Answers

Answer:

18 glue sticks are left

Step-by-step explanation:

Full Question:

Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?

Calculations:

4 x 5 = 2020 - 2 = 18

Answer: There are 18 gluesticks left.

Explanation: 4 times 5 equals 20, and taking away 2 would equal 18.

How can you subtract integers in real-world situations ?

Answers

If you have a bank account and you need to withdraw into the negatives

Answer:

Step-by-step explanation:

If m 6=51, then m 7=

Answers

Answer:

m 7=129

Step-by-step explanation:

if 6 and 7 are right next to each other. it makes 180 degrees so you would take 180-51 to get your answer

School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students? A. 6 chaperones B. 41 chaperones C. 7chaperones D 3 chaperones

Answers

Answer:

A. 6 chaperones

Step-by-step explanation:

Since it's 2 chaperones per 25 students you would need to see how many times 25 can fit into 82

82/25 = 3.28

You can round that number to 3

Then you'll multiply 3 by 2 to get your number of chaperones for the school trip

3 x 2 = 6

There's still students left but not enough for there to be another chaperone so the answer is 6

PLEASEEEE HELP ME PLEASEEE

Answers

Answer: Your answer is: (-4,∞)

consider function f and g

Answers

9514 1404 393

Answer:

  B.  9

Step-by-step explanation:

This is probably most easily evaluated by finding f(4) and then g(f(4)).

  [tex](g\circ f)(4)=g(f(4))=g(-4^3)=g(-64)\\\\=\left|\\\dfrac{1}{8}\cdot(-64)-1\right|=\left|-\dfrac{64}{8}-1\right|=|-9|\\\\\boxed{(g\circ f)(4)=9}\qquad\textbf{matches B}[/tex]

The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) = 0.04t3 – 0.1t2 + 5.5t dollars to transcribe the physician's. Notes to an electronic document each month. What is the instantaneous rate of change when the transcriptionist has spent 100 hours transcribing records? A) $118.50 B)$395.50 C)$1,185.50 D)$1,195.50

Answers

Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

[tex]C(t) = 0.04t^3- 0.1t^2 + 5.5t[/tex]

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

[tex]C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550[/tex]

$39550

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