The concession stand sells hot dogs and soda during the pee-wee football games.John bought 6 hot dogs and 4 sodas and paid $6.70. Jessica bought 4 hot dogs and 3 sodas and paid $4.65. At what prices are the hot dogs and sodas sold? Show your work.

Answers

Answer 1

Answer: Hotdog cost $0.75

Price of soda = $0.55

Step-by-step explanation:

Let the price of hot dogs be x.

Let the price of sodas be y.

6x + 4y = 6.70 ...... i

4x + 3y = 4.65 ....... ii

Multiply equation i by 4

Multiply equation ii by 6

24x + 16y = 26.80 ........ iii

24x + 18y = 27.90 ......... iv

Subtract iii from iv

2y = 1.10

y = 1.10/2

y = $0.55

Price of soda = $0.55

From equation i,

6x + 4y = 6.70

6x + 4(0.55) = 6.70

6x + 2.20 = 6.70

6x = 6.70 - 2.20

6x = 4.50

x = 4.50/6

x = $0.75

Hotdog cost $0.75


Related Questions

When a construction company bids on aâ contract, the events will
be win or lose. The closer the probability is toâ 0.50, the greater
the uncertainty about whether the company will win or lose the
bid.

True or False

My thought is that it is false because the question doesn't
indicate in which direction the "closer to 50%" is, but let me know
what you all think.

Answers

The given statement: When a construction company bids on a contract, the events will be win or lose. The closer the probability is to 0.50, the greater the uncertainty about whether the company will win or lose the bid is TRUE.

When the probability of winning a contract is closer to 0.50, it indicates that there is a greater level of uncertainty about whether the company will win or lose the bid.

A probability of 0.50 means that the chance of winning or losing is equal, and there is no clear indication of what the outcome will be. In such cases, the construction company may have to make a difficult decision on whether to bid on the contract or not, considering the level of uncertainty involved.

On the other hand, if the probability of winning is much higher or much lower than 0.50, the company can have a more confident expectation of whether they will win or lose the bid. Thus, the closer the probability is to 0.50, the more uncertain the outcome of the bid will be.

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Which expression is equivalent to -6(-2\3 +2x)

-4-12x
-4+2x
4-12x
4+12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

Use the distributive property.

-6(-2/3 +2x) =

= -6 × -2/3 + (-6) × 2x

= 4 - 12x

how do I solve this 2 step equationn?
y/6 - 7 = 4

Answers

Answer: y= 66

Step-by-step explanation: Well first you would do +7 on both sides and then it would be Y/6=4+7, then you would multiply 6 on both sides which then you would have y=24+42 which simplified it would be y=66

Answer: by isolating the variable

Step-by-step explanation:

Y/6 -7=4

Y/6-7+7=4+7

Y/6=11

Y/6*6=11*6

Y=66

For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---

Nominal

Ratio

Cannot determine

Interval

Ordinal

B. Horsepower of race car engines ---

Ordinal

Interval

Nominal

Cannot determine

Ratio

C. Marital status of school board members ---

Interval

Nominal

Ordinal

Cannot determine

Ratio

D. Ratings of televisions programs (poor, fair, good, excellent) ---

Ordinal

nominal

Interval

Cannot determine

Ratio

E. Ages of children enrolled in a daycare

Ordinal

nominal

Interval

Cannot determine

Ratio

Answers

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Someone please please help

Someone please please help

Answers

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation:

Someone please please help

Sydney i cutting the crut from the edge of her andwich. The dimenion, in centimeter, of the andwich i hown. A rectangle labeled andwich. The right ide i labeled 2 x quared 9. The bottom ide i labeled 2 x quared 8. Which expreion repreent the total perimeter of her andwich, and if x=1. 2, what i the approximate length of the crut?
Repone

4x217; 21. 8 centimeter
4 x quared plu 17 ; 21 point 8 centimeter

8x234; 43. 6 centimeter
8 x quared plu 34 ; 43 point 6 centimeter

8x234; 45. 52 centimeter
8 x quared plu 34 ; 45 point 5 2 centimeter

4x217; 22. 76 centimeter

Answers

The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Show that 5 and 2 over 3 minus 2 and 3 over 4 equals 2 and k over 12, where k is an integer to be found.

Answers

The resulting fraction is 35/12..Converting the fraction back to a mixed number, we find that 35/12 is equal to 2 and 11/12.Comparing this result to 2 and k/12, we can see that k = 11.5 and 2/3 minus 2 and 3/4 equals 2 and 11/12, where k = 11.

To prove that 5 and 2/3 minus 2 and 3/4 is equal to 2 and k/12, we'll perform the necessary operations to determine the value of k.

First, let's convert the mixed numbers into improper fractions:5 and 2/3 can be written as (3*5 + 2)/3 = 17/3.

2 and 3/4 can be written as (4*2 + 3)/4 = 11/4.

Now, subtracting these fractions: (17/3) - (11/4).

To find the common denominator, we multiply the denominators: 3 * 4 = 12.Rewriting the fractions with the common denominator, we have: (68/12) - (33/12).Subtracting the numerators, we get: 68 - 33 = 35.

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x-4y=-2
Determine if the given ordered pair, (2, 1), satisfies the given equation.
O YES
O NO

Answers

Answer:

Yes.

Step-by-step explanation:

Replace x with 2 and y with 1 and see if the equation is true

x - 4y = -2

2 - 4(1) = -2

2 - 4 = -2

-2 = -2

The statement is true so the point is on the line.

Triangle ABC is similar to triangle DEF. Segment AB measures 2 units and segment
DE measures 3 units. Which transformation maps triangle ABC onto triangle DEF
?

Answers

The transformation that maps triangle ABC onto triangle DEF is an enlargement with center of dilation at point D and scale factor of 2/3.

What is similar triangle?

Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

According to question:

Since triangle ABC is similar to triangle DEF, this means that the corresponding angles in both triangles are congruent, and the corresponding sides are in proportion. In other words, if we denote the length of side BC as x, then:

BC/AB = EF/DE

AC/AB = DF/DE

AC/BC = DF/EF

To map triangle ABC onto triangle DEF, we need a transformation that preserves the angles and the ratios of the sides. This transformation is a dilation or enlargement, which means that the image is similar to the original triangle.

To find the scale factor of the dilation, we can use the ratio of the corresponding sides:

EF/DE = BC/AB

Substituting the given values, we get:

EF/3 = x/2

Solving for x, we get:

x = 2EF/3

This means that the length of side BC is 2/3 times the length of side EF. Therefore, the transformation that maps triangle ABC onto triangle DEF is an enlargement with center of dilation at point D and scale factor of 2/3.

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how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

Answers

If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

add or subtract the following fractions. write in simplest form.

3/4 - 3/10​

Answers

Answer:

I got 9/20

Hope that helps!

An equilateral triangle has a side length of 1. 4x+2 inches. A regular hexagon has a side length of 0. 5x+2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon?

Answers

Having equal perimeters, the side length of the triangle is 9 inches while the side length of the hexagon is 4.5 inches.

The perimeter of any two-dimensional figure is the sum of all its sides.

An equilateral triangle is a triangle having all three sides of equal length.

On the other hand, a regular hexagon is a 6-sided polygon having all sides equal.

If an equilateral triangle has a side length of 1.4x + 2 inches and a regular hexagon has a side length of 0.5x + 2 inches. and their perimeters are equal, then

P(triangle) = P(hexagon)

3(1.4x + 2) = 6(0.5x + 2)

Solve for the value of x.

4.2x + 6 = 3x + 12

1.2x = 6

x = 5

Plug in the value of x in the lengths of each polygon.

triangle : 1.4x + 2 = 1.4(5) + 2 = 9 inches

hexagon : 0.5x + 2 = 0.5(5) + 2 = 4.5 inches

Hence, the side length of the triangle is 9 inches while the side length of the hexagon is 4.5 inches.

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Identify the similar triangles. Find x and the measures of the indicated sides.

What is the answer? Angle similarity

Identify the similar triangles. Find x and the measures of the indicated sides.What is the answer? Angle

Answers

Answer:

See below

Step-by-step explanation:

Given:

Angles A and C are equal. This makes triangles similar:

ΔAED ~ ΔCBD

Ratio of corresponding sides is same:

AE/BC = DE/BD(x + 1)/(x + 5) = 2.4/7.23(x + 1) = x + 53x + 3 = x + 52x = 2x = 1

Side measures are:

DE = 1 + 1 = 2BD = 1 + 5 = 6

if marvin cannon completed 81 successful free throws put of 90 attempts what percent were unsuccessful

Answers

Total attempt = 90

Successful throws = 81

Unsuccessful = Total attempt - Successful

= 90 - 81

=> 9

To calculate the percentage of unsuccessful, we will use the formula:

\(undefined\)

jack bought 200 canned drinks to sell at his food and. the profit, y dollars, from the sale of the canned drinks as a function of the number of cans sold, x, is represented by the equation y=1.25x-100. How many cans must jack secc to recoup the cost of buying 200 canned drinks?

Answers

Answer:

To recoup the cost of buying 200 canned drinks, Jack needs to make a profit of zero, meaning that the revenue from selling the drinks needs to equal the cost of buying them.

Let's start by setting the profit equation equal to zero and solving for x:

0 = 1.25x - 100

1.25x = 100

x = 80

Therefore, Jack needs to sell 80 cans of drinks to recoup the cost of buying 200 canned drinks.

Step-by-step explanation:

a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X

Answers

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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How long is this line segment?
PLEASE EXPLAIN!!!​

How long is this line segment?PLEASE EXPLAIN!!!

Answers

It's 2.6 units long. You just use the ruler on it.

a circle with radius is inscribed in a square and circumscribed about another square as shown. which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?

Answers

The fraction that is the ratio of the shaded area of the circle to the area between the two squares is (π−2)/2.

A fraction is a mathematical expression that represents a part or a proportion of a whole.

Let us assume that the radius of the circle is 'r' units. Therefore, the diameter of the circle is 2r units. The diagonal of the inner square is equal to the diameter of the circle, which is 2r units. Hence, the side of the inner square is r√2 units.

Now, let's consider the area of the circle. The formula for the area of a circle is

=>  A=πr².

Therefore, the area of the circle is πr².

The area between the two squares is the difference between the area of the outer square and the area of the inner square. The area of the outer square is

=> (2r)²=4r²,

and the area of the inner square is

=> (r√2)²=2r².

Hence, the area between the two squares is

=> 4r²−2r²=2r².

The shaded area of the circle is the area inside the circle but outside the inner square. We can find this area by subtracting the area of the inner square from the area of the circle. Therefore, the shaded area of the circle is

=> πr²−2r²=(π−2)r².

Now, let's find the ratio of the shaded area of the circle to the area between the two squares. We can express this ratio as a fraction. Thus,

ratio = (π - 2)r² / 2r

We can simplify this fraction by canceling out the common factor r^2 in both the numerator and denominator. Thus,

ratio = (π - 2) / 2

This fraction is closest to the ratio of the shaded area of the circle to the area between the two squares.

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Which equation can be solved by using this system of equations?

StartLayout Enlarged left-brace 1st Row y = 3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 2nd Row y = 4 x Superscript 4 Baseline + 6 x cubed minus 11 EndLayout

Answers

The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

How to determine the equation?

The correct formats of the equations are:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.

So, we have:

4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

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Kerion has a beaded necklaces business.she can make 12 necklaces in 2 hours.how long will it take her to make 9 necklaces? Answer without units

Answers

It will take her 1 hour 30 minutes to make 9 necklaces.Kerion has a beaded necklaces business. She can make 12 necklaces in 2 hours.

We have to find out how long it will take her to make 9 necklaces.

Here's the solution:

Since Kerion can make 12 necklaces in 2 hours, she can make 6 necklaces in 1 hour.

This means it takes her 1/6 of an hour to make 1 necklace.

So, to make 9 necklaces, it will take her:

9 × (1/6) hours= 3/2 hours

= 1 hour 30 minutes

Therefore, it will take her 1 hour 30 minutes to make 9 necklaces.

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What is the m Angle of 1? A, B, C, D?

What is the m Angle of 1? A, B, C, D?

Answers

Answer:

pic?

Step-by-step explanation:

Three increased by two times a number is the same as five less than nine times the number.

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

2x+3=9x-5

Step-by-step explanation:

I hope I am helping you

Rationalizing denominator of 2/√3

Answers

Answer: \(\frac{2\sqrt{3}} {3}\)

Step-by-step explanation:

Multiply both the denominator and numerator by square root of 3 to rationalize the denominator.

Answer:

2√3/3

Step-by-step explanation:

we can simply multiply the fraction by (√3/√3) as √3*√3 = 3 --- a rational value;

2/√3 * √3*√3 = 2√3/3

you are told the radius of the circle is 8. you may use 22/7 or 3.14. what is the circumference of the circle?

Answers

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle. In this case, the radius of the circle is 8 units. You can use either 22/7 or 3.14 as an approximation for π.

Using 22/7 for π:

C = 2(22/7) * 8 = (44/7) * 8 = 352/7 ≈ 50.29 units

Using 3.14 for π:

C = 2 * 3.14 * 8 = 6.28 * 8 = 50.24 units

Both approximations yield similar results for the circumference of the circle: 50.29 units when using 22/7 and 50.24 units when using 3.14. You may choose either of these values, depending on the desired level of accuracy. Keep in mind that these are approximations, and the true value of the circumference would involve using the exact value of π.

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Help me pleaseeee.......

Help me pleaseeee.......

Answers

Hope this helps...

Basically, do you notice the pattern?

The amount of minutes taken is the amount of kilometres plus half the amount of kilometres.

Ok, so

For 2km 2÷2=1 2+1=3km

For 1km 1÷2=½ 1+½=1½

For 5km 5÷2=2½ 5+2½=7½

For 2 minutes, 1⅓km.

TBS, 1⅓÷2=0.66666...

1⅓+0.66666....=2.

priscilla and ursula went fishing. Priscilla brough a full box of 32 worms and used one worm every minute. Ursula brough a box with five worms and decided to dig for more before she began fishing. Ursula dug up two worms per minute. Graph the data for each person to find out at what minute they will have the same amount of worms. How many worms will they both have at this point SHOW WORK

Answers

Answer:

23 worms after 9 minutes

Step-by-step explanation:

Set up equations for each and solve graphically.

Priscilla brought a full box of 32 worms and used one worm every minute:

y = 32 - x

Ursula brought a box with five worms and dug up two worms per minute:

y = 5 + 2x

Algebraic solution:

32 - x = 5 + 2x2x + x = 32 - 53x = 27x = 9y = 32 - 9 = 23

Solution is (9, 23)

priscilla and ursula went fishing. Priscilla brough a full box of 32 worms and used one worm every minute.

If your principal amount is $720 and you earn simple interest at a rate of 6% over 5 years. How much interest did you earn?

Answers

Answer:

$216

Step-by-step explanation:

6% = 43.2 dollars yearly

1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful

Answers

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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please help this is due tmr! show work too please.

please help this is due tmr! show work too please.

Answers

Answer:

I help u after my online classing

What percent of 59 is 44.1? Round the answer to the nearest
hundredth of a percent if necessary.

Answers

Answer:

133.78684807256

Step-by-step explanation:

step 1: We need the assumption that 44.1 is 100% since it is our output value

step 2: We need to represent the value we seek in x

step 3: From step 1, it follows that 100% = 44.1

step 4: In the same vein x% = 59

step 5: This give us a pair of simple equations:

100% = 44.1 (1)

x% = 59 (2)

step 6: by simplify dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

\( \frac{100}{x} = \frac{44.1}{59} \)

step 7: Taking the inverse (or reciprocal) of both sides yields

\( \frac{x}{100 } = \frac{59}{44.1} \)

= x = 133.78684807256

Therefore, 59 is 133.78684807256% of 44.1

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