1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saw5 [17]
3 years ago
12

At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $14.70. The Farley family bought 3 hot dogs and 4

juice drinks for $9.45. Find the price of a hot dog and the price of a juice drink.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

A hot dog would cost 1.75 and the juice would cost 1.05

Step-by-step explanation:

In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.

6x + 4y = 14.70

3x + 4y = 9.45

Now we can mutliply the second equation by -2 to get the x values to cancel out.

6x + 4y = 14.70

-6x - 8y = -18.90

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

-4y = -4.20

y = 1.05

Now that we have this, we can plug it into either equation to find the cost of a hot dog.

3x + 4y = 9.45

3x + 4(1.05) = 9.45

3x + 4.20 = 9.45

3x = 5.25

x = 1.75

You might be interested in
Help<br>question on the image.​
Simora [160]

Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

8 0
2 years ago
-1/2 divided by -1 3/8
SOVA2 [1]

Answer:8/10

Step-by-step explanation:

-1/2 ➗ -1 3/8

-1/2 ➗ -5/8

-1/2 x -8/5

(-1 x -8)/(2 x 5)

8/10

4 0
3 years ago
After her mother gives her 8 pencils, Sara has (x + 8) pencils. She gives one-fourth of her pencils to to Tim. How many pencils,
alexandr402 [8]

Answer:

¼x+2 pencils

Step-by-step explanation:

¼ of (x+8)pencils

¼×(x+8)

¼x+2

7 0
3 years ago
Write the following phrase as an expression.<br> half of n
PtichkaEL [24]

Translating the half to symbols would be 1/2. Therefore, your answer is 1/2(n)

Hope this helps!

3 0
3 years ago
Read 2 more answers
How much money will you have after 8 years if you invest $4300 at an interest rate of 2% compounded continuously?
FrozenT [24]

Answer:

3612

Step-by-step explanation: i used a caculator and it is compecaited have a good day may i please have brainlyest thanks

6 0
3 years ago
Read 2 more answers
Other questions:
  • 9 friends catch the bus into town. The total cost is £31.05. How much does it cost for one person?
    12·1 answer
  • Help
    6·1 answer
  • The native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The
    9·1 answer
  • Solve x - 3 1/8 = 5/12
    13·1 answer
  • Oceanside Bike rental shop charges 11 dollars plus 8 dollars an hour for renting a bike Tom paid 51 dollars to rent a bike how m
    12·2 answers
  • The expression (X + 3)(x + 2) is the product of two binomials. Which expression is also a product of binomials?
    6·1 answer
  • What is 25% less than a number
    11·1 answer
  • Find the scale factor
    5·2 answers
  • The expression 16t2 represents the distance in feet an object falls after t seconds. The
    13·1 answer
  • Find the slope of the line going through the points (0, -5) and (-2,1)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!