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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Answer:

8.3(3333333333333333)

Step-by-step explanation:

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Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

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=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

what is the slope of y=-4?

Answers

Hello there!

The slope of this line is 0.

y=-4 is a horizontal line.

We find the slope using the formula Rise/Run.

The rise is 0, and no matter what the run is, the slope is 0 anyway.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Sprinters who run 100 yards now often run 100 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

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Answers

Answer:

8x - 22

Step-by-step explanation:

You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)

Which of the following is not a subset of {1, 2, 3}?

{0}
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Ø

Answers

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.

Answers

Answer:

200points

[tex]x6)266(6( \times [/tex]

hatodf jahahshshshshfidba

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Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

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The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.

Answers

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

Please help me with this I don't get it

Answers

Basically what you do is plot some points or plot the points that are given then you look at the points in quadrant 2 and describe what is going on like if it is linear or not.

Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
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Answers

To begin, remember that the sum of all angles must equal 180.

With that being said, take your two known angles into account.

1 - X = Unknown

2 - 102

3 - 48

To find x, simply add 102 and 48.

102 + 48 = 150, the sum of angle 2 & 3.

Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.

180 - 150 = 30

x = 30

To double check, add all the sides together.

102+48+30 = 180

You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?

Answers

Answer: 8

Step-by-step explanation:

Ok, start going backwards with the addition and substration which makes it:

105 – 25 = 80

Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:

80 divided by 10 = 8

8 Friends is the answer.

the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost​

Answers

Answer:

48

Step-by-step explanation:

First find the amount of the markup

40 * 20%

40 *.2

8

Add this to the original price

40+8 = 48

2x+10=4.what are the steps to follow as to get the actual value of X

Answers

2x + 10 = 4
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2x = 4-10
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Answer:

y = 9

Step-by-step explanation:

The line "y = 9" is parallel to the x-axis and passes through (0,9).

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Answer:

Uh not me but I don't think you should leak your schools name...

What is six times a number in algebraic expression

Answers

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

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Express (5a3n)3 with positive exponents.

Answers

Answer:

45an

Step-by-step explanation:

1st. (5a × 3n) × 3

2nd. Multiply the monomials

3rd. after doing that you get 45an

What is the value of x?

Answers

Answer:

x = 7

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

12÷5/2=
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4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

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Answers

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Answers

30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

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Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them

Answers

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

To have a balanced budget, you must ___
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Answers

A because they have to balance your spending and earning

Answer:

D have your net income equal your spending and savings.

Step-by-step explanation:

I did A and got it wrong, D is the correct answer.

Which of the following correct shows the next two
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Answers

Answer:

I believe the answer is B. 80, -160

Step-by-step explanation:

The pattern involves multipling by -2 so the term after that would be 320!

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Answers

Answer:

15t+12r

Step-by-step explanation:

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verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.

Answers

Answer:

so whats the question. ...........

y=x-7
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elimination method

Answers

Answer:

The system has no solutions.

Step-by-step explanation:

Let's write it in a more traditional form

[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]

Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.

Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd

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