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.

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Related Questions

What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.

Answers

Answer:

Well to calculate slope you just do

y2-y1/ X2-x1

In this case

9-8/3-2

Which is 1/1

THe slope is 1

Answer:

1

Step-by-step explanation:

The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.

[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]

ben baked 6 times as many cookies as francis. francis baked 42 cookies. how many cookies did ben bake

Answers

Answer:

252

Step-by-step explanation:

If Francis baked 42 cookies, that means ben backed 252, because you can add 42 plus 42 plus 42 blah blah blah 6 times, and it gets  you 252. Or you can just do 42 times 6.

Since it’s 6 times as many cookies as Francis with Francis being 42 you multiple that by 6 which totals to 252!!!

Find a value c in the interval [0,3] such that f(c) is equal to the average value.

Answers

Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

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What is the first step to solve the following equation:
n/8 = 7

Answers

To solve the equation, you need to get the variable by itself
To get rid of division, you multiply

First step: multiply 8
n = 56

Answer:

n = 56

Step-by-step explanation:

[tex]\frac{n}{8}[/tex] = 7

The first step is to multiply both sides by 8 to clear the fraction

n = 7 × 8 = 56

can someone help with this question

Answers

Answer:

<1= 60

<2=120

<3=60

<4=60

<5=120

<6=120

<7=60

Step-by-step explanation:

Hey, do you know what 1+1+*6*6*8*7*1 is?

Answers

Answer:

it should be 2017 1+1*6*6*8*7*1

help with this please! :)

Answers

Answer:

w x 7 + 6 x 7

Step-by-step explanation:

Advice: Please make sure you cut out your tabs and your personal information while asking questions. I can easily see on the screenshot that your name is Isabella Fletcher.

Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits

Answers

Answer:

122.2222 repeating

Step-by-step explanation:

Write equations for the horizontal and vertical lines passing through the point (-4,2)

Answers

Answer:

y=2

x=-4

hope this helps!

Can someone help me solve this integral plsss?


integral of (2xˆ3+3xˆ2+x)/(xˆ2+1) dx

Answers

Ok done. Thank to me:>

Write 567.4892 correct to (I)the nearest ten (II)2 decimal places​

Answers

Answer:

i think the answer to your question

1) 570

2)567.49

Solve the system of equations by substitution.

3x + y = 9z

-5x + 2y = -4z

What is the value for y from the first equation, that could be substituted into the second equation?

-9z + 3x
3z + 9x
9z - 3x
-3x - 9z

Answers

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

to check if you are correct put the value of x and y into either equation 1 or equation 2.

3x+y=9.............................. equation 1

3( 1.27) + 5.18 = 9

3.81 + 5.18 = 9

9 = 9

A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x​

Answers

Answer:

45

Step-by-step explanation:

2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)

12x=540

x=45

5-3x=Px+7
what value must P have for the equation to have no solutions?

Answers

Answer:

P = - 3

Step-by-step explanation:

For the equation to have no solutions the the coefficient of x on both sides must be the same.

5 - 3x = Px + 7 ← P = - 3 , then

5 - 3x = - 3x + 7 ( subtract 5 from both sides )

- 3x = - 3x + 2 ( add 3x to both sides )

0 = 2 ← not possible

Meaning the equation has no solutions

Please help I've never been more confused

Answers

Step-by-step explanation:

2.

Two pairs of corresponding angles

i. angle C angle D

ii. angle G angle F

Two pairs of alternate angles

i. angle B angle D

ii. angle H angle F

Two pairs of interior angles

i. angle C angle H

ii. angle D angle E

Please help with this question.

Answers

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

What is 0.4184 in standard form

Answers

Answer:4.184*10^-1

Step-by-step explanation: in standard form or scientific notation

Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?​

Answers

Answer:

75

Step-by-step explanation:

joshua - x

kale - 1/3x

1/3x = 25

x = 25(3)

x = 75

A machine paints 340 toy boats in 45 minutes. Which expression equals the unit rate per minute?

Answers

Answer:

7.55556 toy boats per minute

or

340 = 45x

Step-by-step explanation:

340 = 45x

340/45 = 45x/45

7.55556 = x

7.55556 toy boats per minute

To get a free bonus gift, you must spend at least $100 in a

certain department store on Tuesday. On Tuesday, Mary made

purchases of $15, $26.50, and $40. What is the least amount she

needs to spend in order to be eligible for the bonus gift?

Answers

Spent amount= $81.50

Pending= $18.50

ssion 4 x (20 – 1) if a = 3?
What the answer?

Answers

Answer:

20

Step-by-step explanation:

Question:

4 × (2a - 1)

Given value:

a = 3

Solution:

4 × (2a - 1)

= 4 × (2(3) - 1) [Substituting the value of a=3]

= 4 × (6 - 1) [Simplification]

= 4 × 5 [On further simplification]

= 20

Hence, 20 is the required answer.

Answer:

20

Step-by-step explanation:

a = 3

4 × (2a - 1) =

= 4 × (2 × 3 - 1)

= 4 × (6 - 1)

= 4 × 5

= 20

solve pls brainliest

Answers

Answer:5868<9845<91387<969156

Step-by-step explanation:

An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.

Answers

Answer:

89

Step-by-step explanation:

The y intercept is the value when x = 0

Even when you have 0 hours you still have to pay the service fee

The equation is

y = 35x+89

The y intercept is 89

832.078107648 to the nearest whole number.

Answers

832 is rounded to the nearest whole number

helppp yalll my mind is closed

Answers

Answer:

16

Step-by-step explanation:

(Trust me)

I need help getting the answer to this -71+blank=21

Answers

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

Answers

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

Jess had 212 deer stickers. Jess gave 47 stickers to Sandy and 24 stickers to Mike. How many stickers does Jess still have?​

Answers

Answer:

141 stickers

Step-by-step explanation:

212-47=165

165-24= 141 stickers

30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).

Answers

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

Please help thankssssss

Answers

[tex]0,2a^{2}b^3 . (-5a^3b)^2 = 0,2a^{2}b^3 . 25a^6b^2 = 5a^8 b^5[/tex]

ok done. Thank to me :>

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