Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?

What would be a system of equations for the scenario above?

Answers

Answer 1

Answer:

15 hamburgers were sold and 30 hotdogs were sold.

The systems of equations are x + y = 45 and 4x + 5y = 195.

Step-by-step explanation:

Let's make two equations.

x + y = 45

This represents the total of hotdogs and hamburgers sold

4x + 5y = 195

This represents the amount of money made for each food.

These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.

Let's multiply -5 to both x and y.

Now we have -5x -5y = -225 + 4x + 5y= 195

We will end up with -x = -30. This means that x = 30.

Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.

Solve for y in 30 + y = 45, so y=15.

This means 15 hamburgers were sold and 30 hotdogs were sold.


Related Questions

how many inconsiderate people take up space in this world?

Answers

Answer:

Too many :(

Step-by-step explanation:

Its life u know

can i pls have brainliest

Answer:

that number is probably too high to count, don't ya think

help help thanks and PLEASE ​

Answers

Answer:

ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7

Step-by-step explanation:

Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps

Which equation represents the model below
A) 2x - 2 = -6
B) 4x = 6
C) 2x + 2 = -6
D) 4x = -6

Answers

Answer c represent the model

Solve for x. Enter the solution from least to greatest (x-4)(-5x+1)=0

Answers

Answer:

hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0.

Answer:

x=4

Step-by-step explanation:

If you do 4-4 in the first one you get 0. Then the problem would look like this.

(0)(-5x+1)=0

It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.

(0)(-19)

0 x (-19) = 0

ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .

Answers

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

L is its lengthW is its width

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

The width of the plot is 60 yards

∵ Its length = 40 yards

L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

The width of the plot is 75 yards

∵ Its length = 48 yards

L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

The width of the plot is 62.5 yards

∵ Its length = 36 yards

L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of Rectangle:

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

If the length is 50 yards. Then,

             [tex]width=\frac{3000}{50} =60yd[/tex]

If the length is 40 yards. Then,

            [tex]width=\frac{3000}{40}=75yd[/tex]

If the length is 48 yards. Then,

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

If the length is 36 yards. Then,

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

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Evaluate:
-77 + (-46)

Answers

-77 + (-46 )

- 77 - 46 (+ × - = - )

-123

Answer:

-123

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -77 - 46

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive

Equation: 77 + 46 = 123

3) Finally, add the greater number's sign (-77) in front of the number.

-123

Hope this helps! :D

The greatest comen factor of 21, 30,49

Answers

The greatest common factor for 21 is 7
For 30 is 15
49 is 7

I’m no totally sure but i think that is right

Find the exact value using a half angle identity. Cos(-pi/8)

Answers

9514 1404 393

Answer:

  cos(-π/8) = (√(2+√2))/2

Step-by-step explanation:

The half-angle formula is ...

  [tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]

Since cosine is an even function, cos(-π/8) = cos(π/8).

For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...

  [tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]

line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the lines are parallel, perpendicular, or neither

Answers

Answer:

neither

Step-by-step explanation:

the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]

the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither

Hope this helps

You play a game with a friend they pul a marble out of the bag with 3 red marbles and 7 green marbles. If the marble is red you win$2 if the marble is green you lose $1 What is the expected value of the game for you

Answers

Answer:

Step-by-step explanation:

Amount of red marbles = 3red

Amount of green marbles = 7 green

If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6

If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7

The expected value of the game for you = amount won - amount lost

= $6 - $7

= -$1

This means the expected value is a loss of $1

Geometry: Write and solve an equation to find the value of x so that the figures have the same area.

Answers

Answer:

e

Step-by-step explanation:

e

what is 8455 divided by 89?

Answers

Answer:

95

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

8455 divided by 89

the product of m and the sum of m and 82. Tranlate into a variable expression

Answers

Step-by-step explanation:

This expression will be;

m(m + 82).

Which table represents a function?

Answers

Answer:

B

Step-by-step explanation:

PLEASE help thank you ​

Answers

3) the answer should be 3

Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9

Answers

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Kira wants to cover hr rectangular patio in cement. The patio measures 4yd long and 3yd wide.

Answers

Answer:

The answer is 12 yds.

Step-by-step explanation:

The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.

Hope this helped!

Which of the following is a proposed solution that is not a solution of the original equation?

an extraneous solution

conditional solution

an exponential solution

a radical solution

Answers

9514 1404 393

Answer:

  an extraneous solution

Step-by-step explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.

Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.

Answers

Answer:

Step-by-step explanation:

x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

A certain company are that you must be at least 18 years of age

Let x be the age of employees.

x must be at least 18 years of age.

x≥18

We use ≥ symbol when atleast is used, which means it can be 18 or more than that.

Now employees more than one job-related work experience

Let x be the work experience.

x>1

Here we use > because its given that it should be greater than 1.

Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

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One page of Abdul's stamp book has 5 stamps on each line. There are 8 lines. How many Stamos are on the page? *

Answers

Answer:

40 stamps

Step-by-step explanation:

To find how many stamps are on the page, multiply 5 by 8, since there are 5 stamps on each line and there are 8 lines:

5(8)

= 40

So, there are 40 stamps on the page.

Somebody who know how to speak Spanish help.​

Answers

Answer:

Step-by-step explanation:

lemme see the word bank

Shana took a test with 50 questions. she lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit questions correct and received 5 points for each. What is the total number of points she gained lost overall? A: gained 7 points
B: gained 5 points C: lost 5 points D: lost 20 points

Answers

Answer:

Answer

Answer is option A gained 5 points

Step-by-step explanation:

Please mark as brainliest

Help please............................

Answers

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

Solve for w.
5W + 9 = 22 + 3w
Ow=
=-=2

Ow=
= -22
W = -2
W=-72

Answers

Answer:

Your answer is : A) w = -7/2z

Step-by-step explanation:

Hope this helped : )

Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 5w+9z=2z+3w

In the given equation w and z are the variables.

As per the question we need to solve for w which means we have to find the value of w

Take the like terms on one side by adding -3w-9z on both sides

5w+9z-3w-9z=2z+3w-3w-9z

2w=-7z

Now Divide both sides by two

w=-7/2z

Hence, Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.

To learn more on Equation:

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Can you help me find abcd please

Answers

Answer:

A.2 B.4 C.3 D.4 E.6

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)

If you multiply 1/2 x 4/3 you will get 4/6.

A machine printed 63 booklets every 6 hours. At this rate, which proportion could be used to determine x, the number of booklets that the machine can print in 9 hours?

Answers

63 books every 6 hours=> 63/6 x booklets in 9 hours => x/9 so, 63/6 = x/9 and your answer is A.

If the sum of three consecutive numbers is 1998, what is the first one?

Answers

Answer: 665

Step-by-step explanation: X + X + 1 + X + 2 = 1998

3X + 3 = 1998

3X + 3 - 3 = 1998 - 3

3X = 1995

3X/3 = 1995/3

X = 665

PLS HELP ILL GIVE BRAINLEIST ALSO ILL GIVE MANY POINTS​

Answers

Answer:

Digit

Step-by-step explanation:

Answer:

Expanded Notation Form:

 30,000  

+ 9,000  

+ 0  

+ 0  

+ 5  

Expanded Factors Form:

 3 × 10,000  

+ 9 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 5 × 1  

Expanded Exponential Form:

3 × 104

+ 9 × 103

+ 0 × 102

+ 0 × 101

+ 5 × 100

Word Form:

Thirty-nine thousand five.

Step-by-step explanation:

from (google)

A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?

Answers

Answer:

Step-by-step explanation:

First, we want to take the information we have and turn it into an equation, where x is our unknown dimension. For this problem, it would be better if x was equal to the width.

Let's  write out the equation:

X is the width, 2x + 2 is the length, and we are multiplying both by two since there are two sides of the field. It will all equal to 322, because that is the perimeter.

2*x + 2(2x +2) = 322

Now, let's solve:

2*x + 2(2x + 2) = 322

2x + 4x + 4 = 322

6x + 4 = 322

6x = 318

x = 318 ÷ 6

x = 53

The width is 53 yards. To find the length, we multiply 53 by two and add two.

53 * 2 + 2 = 106 + 2 = 108 yards, as the length

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