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
Andrew [12]
3 years ago
9

Mitchell works at a concession stand selling hotdogs and cans of soda. A hotdog costs $3.00 and a can of soda costs $1.00. One n

ight, he notices that he sold a total of 350 items and collected a total of $624.
Mathematics
1 answer:
Dimas [21]3 years ago
8 0
If you are asking how many hot dogs and cans of soda are sold, this is how I solved it.

Given:
cost of hot dog $3 
cost of a can of soda $1
total items sold: 350
total sales: $624

let h stand for hot dog and s stand for soda.

h + s = 350

3h + 1s = 624

h = 350 - s
3(350-s) + s = 624
1,050 -3s + s = 624
-2s = 624 - 1050
-2s = -426
-2s/-2 = -426/-2
s = 213   cans of soda

h = 350 - s
h = 350 - 213
h = 137 hot dogs

3h + s = 624
3(137) + 213 = 624
411 + 213 = 624
624 = 624

Mitchell sold 137 hot dogs and 213 cans of soda.
You might be interested in
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

z=\frac{x}{y}

we have

z=\frac{1}{10}

y=40\ units

substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

The length of the longest side of ∆ABC  is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

z^{2}=\frac{x}{y}

we have

z=\frac{1}{10}

so

z^2=(\frac{1}{10})^2

z^2=\frac{1}{100}

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

3 0
3 years ago
I need help fast thanks
Dmitry [639]
-18x-12=4
Iam not sure if that’s what you want but basically I multiplied the numbers inside the bracket by -6
4 0
3 years ago
What are two decimals that can be rounded to 4.26
Andrew [12]
In rounding, a number must be 5 or more to round up, and 4 or less to round down.

To round up to 4.26 you would need a number between 4.255 and 4.264

4.258 and 4.261 are two examples

8 0
3 years ago
What is the value of m? 3m+2-1/4m=1/2(m-5)
Vera_Pavlovna [14]

Answer:

m=-2

hope this helped:)

Brainliest?

6 0
3 years ago
Read 2 more answers
Pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Natasha2012 [34]

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.5^{2} +-4^{2} = 41

8. (5-4)^{2} = 81

9. 5+4^{2} =21

6 0
3 years ago
Read 2 more answers
Other questions:
  • If Ian has 4 times as many nickels as dimes and they have a combined value of 180 cents, how many of each coin does he have?
    15·1 answer
  • I need help on this problem...
    9·1 answer
  • Assume that each of the n trials is independent and that pis
    8·1 answer
  • Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form.
    12·2 answers
  • What is the answer to 6= a/4 + 2
    9·2 answers
  • What is the value of x in the following equation 1/5x=5^8 <br> A)-8 B) 8 C)40 D)-40
    9·1 answer
  • The surface area of a cube is 24 cm² what is the new surface area of a cube is the length of each edge of the cube is tripled
    15·1 answer
  • Write an equation for the description.<br> The difference between a number x and 18 is 23.
    6·1 answer
  • 24. A quantity represented by 3x - 4 is
    15·1 answer
  • -c - 11&gt;23 solving inequality if u show your work I'll make yo brainliest
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!