Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.

This is a system of equations

Answers

Answer 1

Answer:

hamburgers - $4.30 hotdogs- $3.50

Answer 2

The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,

5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5

Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.

Learn more about simultaneous equations here:

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Related Questions

is 5/8 greater than 61%? thanks i have late stuff that i need done

Answers

Answer:

5/8 is 62.5% which makes it greater

Step-by-step explanation:

Convert the fraction to a decimal and then just multiply it with 100

5/8 is 0.625

0.625×100 is 62.5

just add a %

then you get 62.5%

Can anyone help me to verify identities

Answers

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answers

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here: https://brainly.com/question/25504185

can someone please help me out with this as ive tried to put everything to solve it but im still wrong.
kind regards
Franklin

Answers

In an equilateral triangle all the sides are equal. This means that all the angles add up to 180 degrees.
Divide 180 by 3 and you get 60.
You want an exterior angle so you cut the angle in half ( it is now 30 )
Because the base and the line are parallel (form right angle if drew line connecting them) x is equal to
90-30=60

6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?

Answers

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp

Answers

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]

Answers

Answer:

-3,3,7 for Acellus

that's it

Can someone help me?

Answers

Answer:

CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

CM = MD

8(x -2) = 4(5x -16)

2(x -2) = 5x -16 . . . . . . divide by 4

2x -4 = 5x -16 . . . . . . . eliminate parentheses

12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

which of the following shows the correct order of steps needed to simplify 5+2(3-1)

Answers

Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Which table represents a direct variation between x and y

Answers

Answer:

Step-by-step explanation:

Because the direct variables are plus twenty five

How do you solve for x?

2(x - 3)^2 - 32 = 0

Answers

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]x = - 1 \\ x = \: 7[/tex]

Step-by-step explanation:

[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]

divide both sides

[tex](x - 3 {)}^{2} - 16 = 0[/tex]

use a²- b² =(a - b ) (a + b) to factor the expression

[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]

calculate the difference and the sum

[tex](x - 7) \times (x + 1) = 0[/tex]

when the product of factors equals 0 ,at least one factor is 0

[tex]x - 7 = 0 \\ x + 1 = 0[/tex]

solve the equation for x

[tex]x = 7 \\ x + 1 = 0[/tex]

the equation has 2 solutions

[tex]x = - 1 \\ x = 7[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]

Faz a continha de 86496÷6 pra hoje pfvr

Answers

Answer:

14416

Step-by-step explanation:

youre welcome

Answer:

14416

Step-by-step explanation:

check the steps for answers

Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?

Answers

Answer:

She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.

Please help!!!!!!!!!!!!!

Answers

Answer:

can you also send a graph that might help rn

Step-by-step explanation:

what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]

Answers

Hopefully this helps you answer your question

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

hope it helps

5/8 divided by 3/5=????????????????????????????

Answers

Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?

Answers

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 Times. 1019 6022 Times. 1020 6. 022 Times. 1022 6. 022 Times. 1023.

Answers

Answer:

6020*10's power 21 is correct and suitable way to write it in notation

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

Answers

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?

Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

15% of the skittles in andy's bag are green. if 9 of them are green, how many skittles are in the bag

Answers

Answer:

Step-by-step explanation:

9/15 = 0.60

0.60 * 100 = 60

60 skittles are in the bag

x- (2x + 1) = 8- (3x + 3)

Answers

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

5/15 = n/9 someone help me (proportions)

Answers

Answer:

n = 3

Step-by-step explanation:

[tex]\frac{5}{15} = \frac{n}{9}[/tex]

Cross multiply

15n = 45

Divide

15n/15 = 45/15

n = 3

Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?

Answers

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.

If we are shifting 6 units to the left, h = -6. Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

14.61 divided by 25 and i just need to now this as soon as you can

Answers

Answer:

0.5844

Step-by-step explanation:

Answer:

0.5844 just use a calculator

y=6x-4 y=4x+2 substitution pls help plsplslsl

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 3 , 14 )

Equation Form: x = 3 , y = 14

Step-by-step explanation:

what slope is parallel to m = 3/4

Answers

Answer:

3/4

Step-by-step explanation:

For lines to be parallel, only their y-intercepts have to be different.

Answer:

3/4

Step-by-step explanation:

Graph the following

1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1

Answers

Answer:

Step-by-step explanation:

Use DESMOS. See attached.

A group of 3 adults and 10 children bought tickets to watch a dance performance.Each adult ticket cost $7 more than each child ticket.The group paid a total of $125.Find the child ticket cost.

Answers

Answer:

Step-by-step explanation:

$54= adults $71=kids which would equal $125 in total and when you divide $71 by 10 because there’s 10 kids you should get $7

7c + 8d = 5A

solve for a
(just rearrange the equation for the answer, I forgot how to)

Answers

Answer:

A=7c/5 + 8d/5

Step-by-step explanation:

Answer:

A = [tex]\frac{7c+8d}{5}[/tex]

Step-by-step explanation:

7c + 8d = 5A ( isolate A by dividing both sides by 5 )

[tex]\frac{7c+8d}{5}[/tex] = A

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Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs. This is a system of equations

Answers

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Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.

This is a system of equations