A vendor sells hot dogs and bags of potato chips. a customer buys 2 hot dogs and 2 bags of potato chips for $6.50. another customer buys 5 hot dogs and 3 bags of potato chips for $14.25. find the cost of each item.

Answers

Answer 1

You have to set a system of equations.

2x+2y=6.50 = 6x+6y=19.5
5x+3y=14.25 = -10x-6y=-28.5
Hotdogs = 2.25
Potato chips = 1

Related Questions

Look at the following expression.

5(3x + 2)

Which of the answer choices below is NOT an equivalent expression?

A.15x + 10
B.10x + 15
C.5 ∙ 3x + 5 ∙ 2
D.5(2 + 3x)

Answers

C is not equivalent to all the expressions

ABCD is a kite, find the length of BD

Answers:

A. 8
B. 16
C. 12
D. 24

Answers

I think the answer is 16 but I’m not entirely sure

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Ok so a jar can hold three-fourths of pounds of flour right, so that's the max it can hold, now Austin empties 1/2 of the pound into the flour, since he only emptied that much that's how much he filled the jar with so your answer would be 1/2 or one-half since that's all he filled it with.

Answer: 1/2 or one-half

Step-by-step explanation:

Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?

A. It must be equal to PS .

B. It must be greater than 12RS.

C. It must be wide enough so that the arc intersects RS←→ in two points.

D. It must be equal to PR .

Answers

Answer:

Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.

In triangle ΔABC, ∠C is a right angle and CD is the height to AB, Find the angles in ΔCBD and ΔCAD if: m∠A = α

m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =

Answers

Refer to the figure shown below.

Given:
m∠C = 90°, because ∠C is a right angle.
m∠D = 90°, because CD is the height to AB.
m∠A = α

Because the sum of angles in a triangle is 180°, therefore
m∠DBC + 90° + α = 180°
m∠DBC = 90° - α

Again, for the same reason,
m∠DCB + m∠DBC + 90° = 180°
m∠DCB + 90° - α + 90° = 180°
m∠DCB = α

For the same reason,
m∠ACD + 90° + α = 180°
m∠ACD = 90° - α

m∠ADC = 90° (by definition)
m∠CDB = 90° (by definition)

Answer:
m∠DBC = 90° - α
m∠DCB = α
m∠CDB = 90°
m∠ACD = 90° - α
m∠ADC = 90°

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sarah correct? Explain your thinking using negative powers of 10 and the number line

Answers

Sarah would be incorrect, because the more numbers after the decimal, the smaller the number would be, because it is further away from the number one.

The number 0.001 is greater than the number 0.00001. She is incorrect.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. She is incorrect.

0.001 > 0.00001

Because the number 0.001 is greater than the number 0.00001.

More about the Algebra link is given below.

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Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4?

Answers

The correct answer would be C.0.58

You plug 4 into the line of best fit and get 6.72. This is your predicted value, but the residual is the difference between the actual value and predicted. So you subtract: 7.3-6.72=0.58.

Solution:

The line of best fit is given as y=2.78x-4.4

We need to find the residual value when x=4.

The residual value is an estimate of the wholesale value .To find the residual value we plug in x=4 in the given line of best fit.The corresponding y value will give the predicted value.

y=2.78x-4.4

Substituting x=4,

y=2.78(4)-4.4

y=11.12-4

y=7.12.

The predicted value when x=4 is y=7.12.

Residual value = predicted value - Actual value -=7.12 - actual value.

The lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. The perimeter of the triangle is 88cm. What are the lengths of the sides?

Answers

so you know that altogether the ratio adds up to 22. just do 88/22 to find what 1 is. then just multiply 88/22=4
5=5x4 which is 20
7=7x4 which is 28
10=10x4 which is 40 the answer is 20 cm, 28 cm, and 40 cm.

Hi there,

5=5x4=20
7=7x4=28
10=10x4=40

this is how u get ur answers

Hope this helps best of luck my friend :3

In which states of matter can materials take the shape of their containers?
A. liquid and gas
B. solid and liquid
C. solid and gas

Answers

a liquid and a gas can take shape of their containers

am i correct ? geometry problem

Answers

Unfortunately your response would only be true if CD was perpendicular to AB. However we don't know if CD is perpendicular or not. So we don't have enough information. The actual answer is choice E) None of these.

Jack has twelve coins in his pocket made up of dimes and quarters. he has a total value of $1.95. how many of each are there

Answers

Since $1.95 ends in a five, and the only way to get that is with an odd number of quarters (dimes are always .10, and even numbers of quarters also end in zero(.50)), we know we are looking at an odd number of quarters. Then we can use the guess and test method to quickly find our answer.

5 quarters = $1.25
7 dimes = $0.70

Total: 12 coins = $1.95

Geometry help please?

4 questions.

Thanks!

Answers

Question 1:

Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle

----------------------------------------------------------------------------------------------------------------

Question 2:

Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality

----------------------------------------------------------------------------------------------------------------

Question 3:

Angle congruence postulate

---------------------------------------------------------------------------------------------------------------

Question 4:

Segment congruence postulate

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

Answers

5:2 no pets to pet

Hope this helps

60 - 24 = 36

the ratio of students with pets to without pets is 24:36

or simplified: 2:3

hope this helps

2 to determine the formula of a new substance one of the first steps is to find the

Answers

To determine the formula of a new substance one of the first steps is to find the percent composition.

What is the value of x in the equation 2x + 3y = 36, when y = 6

Answers

2x+3y=36

y=6

2x +3(6) = 36

2x +18 =36

2x = 18

x = 9

Answer:

The value of the provide expression is 9.

Step-by-step explanation:

Consider the provided expression.

[tex]2x + 3y = 36 [/tex]

We need to find the value of the expression, for x when y=6

Substitute the respective values in the provided expression.

[tex]2x + 3(6) = 36 [/tex]

[tex]2x + 18 = 36 [/tex]

[tex]2x= 36-18 [/tex]

[tex]2x= 18 [/tex]

[tex]x= 9 [/tex]

Hence, the value of the provide expression is 9.

How do you solve x^2 - 16x -34 = 2 by completing the square?

Answers

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer: x = 18 or x = -2

Suppose that the distance D feet that a car travels in t seconds is given by d(t)=2t^2. Calculate the average speed (average rate of change.) in feet per second from t=5 to t=9. (An exact number.)

Answers

d(t)=2t^2. [5,9]
The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1
So plug in 5 as t1 and 9 as t2.
d(9) - d(5) / 9 - 5 =
(2×81) - (2×25) / 9 - 5 =
162 - 50 / 4 =
112 / 4 = 28
The average speed is 28 feet.

A rate of change is a rate that describes how one quantity changes in relation to another quantity, then d(t)=2t^2 is given, 28 feet is average speed in feet per second from t=5 to t=9.

What is Rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

d(t)=2t^2 is given, we need to find average speed in feet per second from t=5 to t=9.

d(t)=2t^2.

The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1

So plug in 5 as t1 and 9 as t2.

d(9) - d(5) / 9 - 5 =

(2×81) - (2×25) / 9 - 5 =

162 - 50 / 4 =

112 / 4 = 28

Therefore the average speed is 28 feet.

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PLEASE HELP I NEED TO GET THIS CORRECT.

Answers

1. A 2.B 3.D 4.C 5.D I cant see the full last one I feel confident about 90% correct I'm just not 100% because its hard to read some

For number 1 the correct answer is B: x^4

The correct answer for number 2 is B: b - 8

Correct answer for number 3 is C: The quotation of three and some number times five

For number 4 the correct answer is C: 10x + 5

It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.

Answers

£904.80 have been bought.

In a test-cross of a heterozygous black guinea pig (bb), what is the probability that the first two (2) offspring will be white?

Answers

im pretty sure its 25%

Converting fractions to decimals worksheet 7th grade

Answers

No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.

A pack of cinnamon scented pancils sells for $7.00.What is the sales tax rate if the total cost of the pencils is $7.49?

Answers

The amount of sales tax rate on the scented pencils will be equal to 7%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of scented pencils = $7

Price of pencils after-tax = $7.49

Then, the percentage of tax on the pencils will be,

= (7.49 - 7)/7 × 100

= 0.07 × 100

= 7%

To know more about Percentage:

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The circumfrence is 16 pi. What is the are in terms of pi?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~ \begin{cases} r=radius\\ -----\\ C=16\pi \end{cases}\implies 16\pi =2\pi r\implies \cfrac{16\pi }{2\pi }=r\implies \boxed{8=r}\\\\ -------------------------------\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \qquad \implies A=\pi (8)^2\implies A=64\pi [/tex]

Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. $200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150 In dollars and cents the average pay will be?

Answers

Ok, all you have to do is add all the money together then divide it by how many numbers there are which is 12.

200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = 2770

2770 divided by 12 =230.83 is the average

The number of CDs sold has decreased each year. The graph shows the number of CDs sold in a given year. (coordinate graph) Which is a reasonable inference for the number of CDs at month 4?

Answers

From the graph shown, a reasonable inference for the number of CDs at month 4 is 1,000

Write the equation of a line with a slope of 4 and a y-intercept of −3.

A: 4x+y=-3
B: 4x-y=-3
C: y=3x+4
D: y=4x-3

Answers

Slope intercept form is always y=mx+b where your m is your slope and your b is your y-intercept. This equation would be D: y=4x-3

Answer:

y = 4x − 3

Step-by-step explanation:

Please help me. Thank you.

Answers

1 is 80 because:
3m + 20 + 5m = 180
8m + 20 = 180
8m = 160
m = 20
Then 3(20) +20 = 80 because of vertical angles.

The second one is 15 because of vertical angles. 2*115 = 230. 50*50 = 100. Add these up and you get 330. This leaves 30 missing degrees among the two remaining angles. Since the two remaining angles are congruent because they are vertical, you can divide 30 by 2 to get 15.

Kim is drawing a map of the different schools in her school district.she knows that her middle school is 10.6 miles away from the middle school that her best friend attends.if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map,to the nearest tenth of an inch

Answers

so Kim and her best friends are 10.6 miles away and we are trying to find out how many inches are they apart

10.6/5 = 2.12
that equation represents how many miles away they are now we mulitply
2.12x 2 to find a number of inches 4.24

Answer:

4.24 inches.

Step-by-step explanation:

In the map,

2 inches represents 5 miles,

Thus, we can write,

[tex]5\text{ miles}=2\text{ inches}[/tex]

[tex]1\text{ mile}=\frac{2}{5}\text{ inches}-----(1)[/tex]

Since, the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1),

[tex]10.6\text{ miles}=10.6\times \frac{2}{5}=\frac{21.2}{5}=4.24\text{ inches}[/tex]

Hence, the distance between the two schools in the map is 4.24 inches.

Identify the 35th term of an arithmetic sequence when a1 = −7 and a 18 = 95

Answers

The solution is on the photo.

The equation ax=0 has only the solution x=0 because

Answers

because anything multiplied by 0 is 0

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