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
ivanzaharov [21]
2 years ago
15

At a concession stand, seven hot dog(s) and four hamburger(s) cost $21:25, four hot dog(s) and seven hamburger(s) cost $22.75 Fi

nd the cost of one hot dog and the cost of one hamburger
Mathematics
2 answers:
Alina [70]2 years ago
7 0

Step-by-step explanation:

If 4 hamburger = $21.25

1 hamburger = x

Cross multiply

4 x x = $21.25 x 1

4x = $21.25

Devide both side with the coefficient of x

4x/4 = $21.25/4

X = $5.3125

Therefore 1 hamburger cost $5.31

If 4 hotdogs = $22.75

1 hotdog = y

Cross multiply

4 x y = $22.75 x 1

4y = $22.75

Devide both sides with the coefficient of y

4y/4 = $22.75/4

Y = $5.6875

Therefore one hotdog cost $5.69

scoundrel [369]2 years ago
6 0

Answer:

See below ↓↓↓

Step-by-step explanation:

<u>Given</u> :

  • 7 hot dogs + 4 hamburgers = $21.50
  • 4 hot dogs + 7 hamburgers = $22.75

<u>Let's set some variables.</u>

  • hot dogs = x
  • hamburgers = y

<u>So, our equations are</u> :

  1. 7x + 4y = 21.50
  2. 4x + 7y = 22.75

<u>Mulitply equation #1 by 7 and equation #2 by 4.</u>

  • 49x + 28y = 150.50 (Equation 3)
  • 16x + 28y = 91.00 (Equation 4)

<u>Subtract equation 4 from equation 3.</u>

  • 49x - 16x + 28y - 28y = 150.5 - 91
  • 25x = 59.5
  • x = <u>$2.38 [cost of one hot dog]</u>

<u></u>

<u>Substitute value of x in equation 4.</u>

  • 16(2.38) + 28y = 91
  • 38.08 + 28y = 91
  • 28y = 52.92
  • y = <u>$1.89 [cost of one hamburger]</u>

<u />

You might be interested in
Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =
Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

5 0
3 years ago
If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square
Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

3 0
2 years ago
Which equation is correct?
Vlad [161]

Step-by-step explanation:

SOHCAHTOA

sin=opp/hyp

cos=adj/hyp

tan=opp/adj

option B is correct

6 0
2 years ago
Read 2 more answers
If I had 81.8*10^0,would my answer be 81.8
erastova [34]
Yes, it would still remain the same.
4 0
2 years ago
Read 2 more answers
Which ordered pair is a solution of the equation Y=-9x+4
kumpel [21]

Answer:

(10,−86)

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
    11·1 answer
  • The vertex of this parabola is at (-1, -3). Which of the following could be its equation? the parabola is going left.
    9·1 answer
  • hot dog buns come in package of 8. for the school picnic,Mr spencer bought 30 packages of hot dogs buns. how many hot dog buns d
    9·2 answers
  • Can someone help me solve this please. I forgot how to so if you could explain please.
    15·2 answers
  • What is the (10) for?
    8·2 answers
  • A candle is in the shape of a cylinder with a diameter of 3.5 in and height of 8.5 in. The weight of the candle is 1400 grams.
    6·1 answer
  • .24 repeating as a fraction but the 4 is the only thing repeating
    5·1 answer
  • Identify which of the following pairs of angles are complementary and which are supplementary?
    15·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    15·2 answers
  • Can I get some help please ​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!