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
chubhunter [2.5K]
3 years ago
15

Three hamburgers and two hotdogs cost $13. Two hamburgers and four hotdogs cost $14 what is the cost of one hamburger? What is t

he cost of one hotdog?
Any help?
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Step-by-step explanation:

Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.

Therefore, we can form the equations:

3h + 2d = 13 and

2h + 4d = 14

2(h +2d) = 14

h + 2d = 7

h = 7 - 2d

By substituting this to the first equation, we get:

3(7 - 2d) + 2d = 13

21 - 4d = 13

4d = 8

d = $2

h = 7 - 2(2)

h = $3

Hence <u>1 hot dog costs $2</u> and <u>1 hamburger costs $3</u>

You might be interested in
A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi
Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100  to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0
3 years ago
The effect of a monetary incentive on performance on a cognitive task was investigated. The researcher predicted that greater mo
riadik2000 [5.3K]

Answer:

1) H_0:\mu_5=\mu_{25}=\mu_{50}

2) H_a:\mu_{50}>\mu_{25}>\mu_{5}

3) A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

4) A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

5) The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

Step-by-step explanation:

As the claim is that the greater the incentive, the more puzzles were solved, the null hypothesis will state that this claim is not true. That is that there is no significant relation between the incentive and the amount of puzzles that are solved. In other words, the mean amount of puzzles solved for the different incentives is equal (or not significantly different):

H_0:\mu_5=\mu_{25}=\mu_{50}

The research (or alternative hypothesis) is that the greater the incentive, the more puzzles were solved. That means that the mean puzzles solved for an incentive of 50 cents is significantly higher than the mean mean puzzles solved for an incentive of 25 cents and this is significantly higher than the mean puzzles solved for an incentive of 5 cents.

H_a:\mu_{50}>\mu_{25}>\mu_{5}

A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

4 0
3 years ago
In circle P, what is the measure of ADB?
Arada [10]

Answer:

  arc ADB = 270°

Step-by-step explanation:

Arc ADB is the remainder of the circle after subtracting 90° arc AB. Its measure is ...

  ADB = 360° -90° = 270°

3 0
3 years ago
No pic/link just type answer pls.
Genrish500 [490]

Answer:

This problem requires you to use the equation for the volume of a cone. The equation is \pi r^{2}\frac{h}{3}. Plug in the corresponding numbers to solve the equation. The equation should be \pi (3\frac{3}{16})^{2} \frac{9\frac{3}{4} }{3}. Simplify the equation to get 103.74 in^{3}.

7 0
3 years ago
Read 2 more answers
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
Akimi4 [234]

Answer:drugs?

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The function f(x) = x^2 is reflected across the x-axis and a stretch factor of 4 is applied to create a second function, g(x). W
    7·1 answer
  • I need help please.
    12·1 answer
  • Andrea rolls a number cube twice. She determines P(even, then odd) = . Which statements are accurate? Check all that apply. Andr
    7·2 answers
  • Five members of the football team and five members of the track team ran the 100-meter dash. Their times are listed in the table
    5·2 answers
  • <img src="https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B-5%7D%7B2%7D%20%7D" id="TexFormula1" title="4^{\frac{-5}{2} }" alt="4^{\frac{
    10·1 answer
  • Must m in the equation y=mx+b always be a positive number?
    6·2 answers
  • #1) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST.
    12·1 answer
  • Find the slope and Y-intercept, then graph<br> X - 3y = 9
    10·1 answer
  • The value of 5x(13.5-4.5)
    14·2 answers
  • Factor this trinomial:<br><br> 5x^2-12x+4<br> Please show all work<br> I'll give Brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!