9 burgers and 1 doughnut cost $31.30. 3 doughnuts and 6 burgers cost $26.70. Find the cost of 2 burgers.

Answers

Answer 1

Answer:

$6.40

Step-by-step explanation:

let d be the cost of 1 doughnut and b the cost of 1 burger.

set up 2 equations and solve for b

9b + d = 31.3 → (1)

6b + 3d = 26.7 → (2)

multiplying (1) by - 3 and adding to (2) will eliminate d

- 27b - 3d = - 93.9 → (3)

add (2) and (3) term by term to eliminate d

- 21b + 0 = - 67.2

- 21b = - 67.2 ( divide both sides by - 21 )

b = 3.2

then

cost of 2 burgers = 2 × $3.20 = $6.40


Related Questions

Simplify completely:
√320x2y³

Answers

simplify the radical by breaking the radicand up into a product of known factors,assuming positive real numbers.
Sorrry i cant write answer is that form but
the answer is 8 then square root of 5x rais to power 2 then write y raise to power3.

What is the length of the side opposite the 60° angle?

Answers

Answer: 90

Step-by-step explanation:

opposite side is 90

Answer:

6√3

Step-by-step explanation:

This is a 30-60-90 triangle meaning that the hypotenuse is 2 times the shorter leg and the leg opposite of the 60-degree angle is √3 times larger than the shorter leg.

6*√3 = 6√3

Which type of rigid transformation is shown? Identifying the Type of Rigid Transformation

Answers

The transformation is translation

What is Translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The figure is attached below:

As per the definition the figure shows that size hasn't changed.

Hence, the transformation is translation.

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Use the regression line for the data in the scatterplot to answer the question. on average, how many more goals will a player score for every additional hour of practice?

Answers

On average the more goals will a player scores for every additional hour of practice is 3/4.

Given a regression line for the data in the scatterplot which is shown in figure.

This question can be solved by finding the slope of the line.

Slope is the ratio of vertical change to horizontal change between two points on the line.

Here, we can find the slope by taking the two points which is on the line.

Let us take the two points be A(1.5,2) and B(6.5,6)

Now, we will find the slope using the formula, we get

m=(y₂-y₁)/(x₂-x₁) where (x₁,y₁)=(1.5,2) and (x₂,y₂)=(6.5,6)

Substitute the values in the formula, we get

m=(6-2)/(6.5-1.5)

m=4/5

The slope which we find is near to the slope 3/4.

Hence, the more goals will a player score for every additional hour of practice from the regression line is 3/4.

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BRAINLIEST, URGENT

A ride at an amusement park repeatedly drops riders four times to the bottom of a tower and rises back up one-half the height that it drops each time it reaches the bottom. The ride initially drops riders from a distance of 50.0 meters above the bottom of the tower. What is the ride's maximum height above the bottom of the tower, in meters, between the second and third time it reaches the bottom of the tower?

Answers

Answer:

12.5 m

Step-by-step explanation:

1st drop 50 m

2nd drop 50/2 = 25 m

3rd drop 25/2 = 12.5 m

Rice is sold at Ghc56.00 per bag of 50kg. A trader bought some bags of rice and paid GHc1,344.00.
How many bags of rice did the trader buy

Answers

if 1bag is 56.00

x bags= 1344.00

solution

[tex] \frac{1344.00}{56.00} = 24[/tex]

the trader bought 24 50kg bags of rice

PLEASE LIKE AND MARK AS BRAINIEST IF HELPFUL I HOPE SO

If a researcher counting how many seconds each bystander helps a stranger Struggling to pick up a heavy box

Answers

Answer:

You didn't finish the whole question.

Step-by-step explanation:

We have to calculate mean of the data.

Mean is the sum of numbers divided by total numbers included.

Mean=∑X/n

where n is the number.

Mean =(10+15+10)/3

=35/3

=11.67

What do you understand by mean ?

in mathematics, a quantity that has a value intermediate between those of the extreme members of some set. numerous types of manner exist, and the method of calculating an average depends upon the relationship known or assumed to control the alternative members.

The mean, or average, is calculated by adding up the scores and dividing the whole by the number of scores. consider the following number set: 3, 4, 6, 6, 8, 9, 11. The mean is calculated in the following way: 3 + 4 + 6 + 6 + 8 + 9 + 15 = 51

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The vertex of the graph of f(x)=|X-3|+6 is located at

Answers

The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)

How to determine the vertex?

The equation of the function is given as:

f(x) = |x - 3| + 6

The above function is an absolute value function.

An absolute value function is represented as:

f(x) = a|x - h| + k

Where:

Vertex = (h, k)

By comparison, we have:

Vertex = (3, 6)

Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)

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How do I do the distribution table and the proccess plss help

Answers

Answer + Step-by-step explanation:

p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)

Because ,when X = 2 or X = 1  the largest number is not 3 so we have to subtract those values .

……………………………………………………………

the probability that X is equal to 1 or 2 or 3 is :

[tex](\frac{3}{6} )^4 = \frac{81}{1296}[/tex]

Then

[tex]p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}[/tex]

Verification:

1+15+65+175+369+671 = 1 296

A company produces packets of soap powder labeled Giant Size 32 Ounces. The actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.7 oz. To avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. To avoid losing money, it labels the top 5% (the heaviest 5%) overweight. How heavy does a box have to be for it to be labeled overweight

Answers

In order to be labeled overweight the weight of box should be of 34.15 ounces.

Given mean of 33 ounces, standard deviation=0.7 ounces. Production of packets of 32 ounces.

Because it is normally distributed samples are solved using the z score formula.

In this Z=X-meu/st

meu is sample mean and st is population standard deviation.

We have to find the z score and then p value from the z table.

meu =33 and st=0.7

Top 5% so X when Z has a p value of 1-0.05=0.95. So X when Z=1.645.

Z=(X-meu)/st

1.645=(X-33)/0.7

X-33=0.7*1.645

X-33=1.1515

X=1.1515+33

X=34.1515 ounces.

Hence to be labeled overweight the box must have 34.15 ounces weight.

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please help ill give whoever has the best answer the brainliest answer

Answers

Answer:

It would be B the distance from the ground to the kite :)

Step-by-step explanation:

The graph shows this situation best out of the other 3 choices!

Have an amazing day!!

Please rate and mark brainliest!!

PLEASE HELP MEE.

measure of angle B = 27 degrees, measure of angle C = 82 degrees, b = 14. Find the length of c to the nearest
tenth.

Answers

Answer:  30.5

=======================================================

Work Shown:

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(27)}{14}=\frac{\sin(82)}{c}\\\\c\sin(27) = 14\sin(82)\\\\c=\frac{14\sin(82)}{\sin(27)}\\\\c\approx 30.5375398\\\\c\approx \boldsymbol{30.5}\\\\[/tex]

I used the law of sines. Make sure your calculator is in degree mode.

The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.

Does this table represent a function? Why or why not?
X
2234
5
y
1
4
4
2
5
OA. No, because one x-value corresponds to two different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
OC. No, because two of the y-values are the same.
D. Yes, because there are two x-values that are the same.

Answers

No, because one x-value corresponds to two different y-values.

How to determine the true statement about the table?

The table of value is given as:

x  2   2  3  4   5

y  1   4   4   2   5

From the above table, we have:

When x = 2, y = 1 and 4

This means that 1 value of x points to multiple values of y

The above means that the table does not represent a function

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Find a in degrees.
a
6
√11
5
? ]°
Round to the nearest hundredth.

Answers

Answer:

33.55°

Step-by-step explanation:

let alpha be X

sin x= √11/6

sin x= 0.5527

x= sin-1 0.5527

x= 33.55°

Explain when the solution set of an inequality will be the empty set or the set of all real numbers. Show an example of each.

Answers

Answer:

There are two cases when the solution set of an inequality will be the empty set or the set of all real numbers.

The first case is when the inequality is always false no matter what value is chosen for the variable. For example, the inequality x > 5 has no solution because there is no value of x that is greater than 5. In this case, the solution set is the empty set.

The second case is when the inequality is always true no matter what value is chosen for the variable. For example, the inequality x > -∞ has infinitely many solutions because there is no value of x that is not greater than -∞. In this case, the solution set is the set of all real numbers.

Step-by-step explanation:

I need help

are they no solution or infinite solutions?
I'm getting ready for high school so I'm reviewing 8th grade math.

Answers

Answer:

1. No.

2. Yes, there is no solution here.

Step-by-step explanation:

The former:

[tex]8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.[/tex]

[tex]\{0\}[/tex] is our set of solutions.

The latter:

[tex]3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.[/tex]

In other words, there is not any solution from the set of real numbers that suits us.

x + 7 = -9 expressions

Answers

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

Subtract 7 from both sides

x + 7 - 7 = -9 - 7

Simplify

x = -16

Answer:

x=-16

Step-by-step explanation:

x+7=-9

x=-9-7

x=-16

The equations in this sytem were added to solve for x. What is the value of x?
-8x+8y=8
3x-8y=-18
-5x =-10

Answers

in the given system of equations, the value of x is 2

Simultaneous linear equation

From the question, we are to determine the value of x

The simplified equation is

-5x = -10

To determine the value of x, we will divide both sides by -5

-5x/-5 = -10/-5

x = 2

Hence, the value of x is 2

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6. (04.05 MC)
Which Inequality matches the graph? (1 point)

-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7

Answers

Answer: is D

Step-by-step explanation:

Fossils of Lystrosaurus, a dinosaur without the ability to swim or fly, can be found across Africa, India, and Antarctica.
What does this indicate?

A. That those continents were all connected during the time Lystrosaurus lived.
B. That they went extinct because they could not adapt.

C. That they later evolved either the ability to swim or the ability to fly.
D. Those continents were separated at the time Lystrosaurus lived.

Answers

Answer:

A

Step-by-step explanation:

Pangaea is the name for the land mass before the continents split. The continents would have been connected during that species life time.

Keira and Nathan are dragging a box across a floor, as shown in the diagram on the left. Kiera pulls at an angle of 30below the horizontal and with a force of 80 poundsNathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds. The diagram on the right shows the triangle that represents this situation . What is the magnitude of the resultant force acting on the box ?

Answers

Answer:

165.0

30 plus 50 plus the 85 equals 165

The magnitude of the resultant force acting on the box is 126.4 pounds.

Hence the correct answer is C.

Given that Kiera pulls at an angle of 30below the horizontal and with a force of 80 pounds Nathan pulls at an angle of 50 degrees above the horizontal and with a force of 85 pounds.

We need to determine the magnitude of the resultant force acting on the box.

To find the magnitude of the resultant force acting on the box, we can use the law of cosines.

The law of cosines states that for any triangle with sides of lengths a, b, and c, and an angle θ opposite to side c, the following equation holds:

c² = a² + b² - 2ab × cos(θ)

In this case, we have a triangle formed by the two forces exerted by Keira and Nathan, and we want to find the magnitude of the resultant force, which corresponds to side c.

Let's assign the following values:

a = 80 pounds (force exerted by Keira)

b = 85 pounds (force exerted by Nathan)

θ = 180° - 30° - 50° (angle opposite to the resultant force)

θ = 100°

Now we can plug these values into the law of cosines equation:

[tex]F = \sqrt{80^2 + 85^2 -2\times 80 \times 85\times \cos100}[/tex]

Solving we get,

F = 126.4

Hence the magnitude of the resultant force acting on the box is 126.4 pounds.

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What is the range of f?

Answers

Answer: [tex][-3,7][/tex]

Step-by-step explanation:

The range of a function is the set of y-values

A bake shop sells twenty different kinds of pastries. Twelve of them were chocolate. Zack randomly buys eight kinds of pastries. What is the chance that four of them will be chocolate

Answers

Answer:

Just look at the other answer

Step-by-step explanation:

5/7 - 3/2 in simplest form HELP ASAP

Answers

[tex] \frac{5}{7} \: - \: \frac{3}{2} [/tex]

First, we find the lowest common denominator which is "14", we put it in the common numerator.

[tex] \frac{10 \: - \: 21}{14} [/tex]

We subtract the numbers.

[tex] \boxed{ \bold{- \frac{11}{14} }}[/tex]

MissSpanish

[tex]\boldsymbol{\sf{\dfrac{5}{7}-\dfrac{3}{2} }}[/tex]

The least common multiple of 7 and 2 is 14. Convert 5/7 and 3/2 to fractions with like denominators.

[tex]\boldsymbol{\sf{ \dfrac{5\times2}{7\times2}-\dfrac{3\times7}{2\times7} \ \ \to \ \ \ Simplify }}[/tex]

[tex]\boldsymbol{\sf{\dfrac{10}{14}-\dfrac{21}{14} }}[/tex]

Since 10/14 and 21/14 have the same denominator, subtract their numerators to subtract them.

[tex]\boldsymbol{\sf{\dfrac{10-21}{14} \ \ \to \ \ \ Subtract}}[/tex]

Subtract 21 from 10 to get −11.

[tex]\red{\boxed{\boldsymbol{\sf{-\frac{11}{14} }}}} \ \ \to \ \ \boldsymbol{\sf{Answer}}[/tex]

{ Pisces04 }

Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5

Answers

-208

Explanation:

If the complete expression is a³ – 6³

then a³ – 6³ with a being equal to 2 is

(2)³ – (6)³ =

(2 × 2 × 2) – (6 × 6 × 6)

=

(4 × 2) – (36 × 6)

=

(8) – (216)

=

-208

This is done with substitution, just do the arithmetic with 2 in the place of a.

Answer: 7

Step-by-step explanation:

Substitute the given values of a and b into the expression:

(a)3 - (b)3 = (2)3- (3)3

     5                 5

Then evaluate the expression using the order of operations:

8- (-27) = 35/5

    5    

              = 7

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.

Answers

Answer:

3 months

Step-by-step explanation:

Let x be the number of months CDs are added at Tom and Nita's respective rates of 1 and 5 CDs/month.

Tom's collection after x months is = 30 + 1x

Nita's collection after x months is  = 18 + 5x

At some point they will have equal numbers of CD's, so set the equations equal to each other:

30 + 1x = 18 + 5x

4x = 12

x = 3 months

At 3 months both Tom and Nita will have the same number of CDs.

Tom:  30 + 1*3 = 33 CDs

Nita:  18 + 5*3 = 33 CDs

Answer:

x = 3

Step-by-step explanation:

We can create a system of equations to represent the situation we have been given.

Creating the Equations

In this system, we can create an equation to represent both people's collections.

First, we can create Nita's.

To create the equation we can start with the constant. We are told she starts with 18 CDs. So, this will be one of the terms.Next, we can multiply x by 5. We can do this because x represents the number of months that have passed and 5 is the number of CDs she adds per month. This means 5x will be another term.Finally, the constant and variable will add up to the total number of CDs, which is represented by y. So, the expression will be set equal to y.

All of this creates the equation: 5x + 18 = y.

Next, we can do the same to find Tom's equation.

Tom starts out with 30 CDs. So this will be the constant term.Each month he adds 1 CD. This means that we can multiply 1 by x to make the term 1x.Finally, like with Nita's this expression will be set equal to y.

This creates the second equation: 1x + 30 = y.

The system is:

5x + 18 = y

1x + 30 = y

Solving the System of Equations

One method to solve a system of equations is substitution. Substitution is when you substitute an expression for a variable. Since both expressions are set equal to y, we can substitute the expressions for y and set them equal to each other.

This creates the new equation: 5x + 18 = 1x + 30. Then, solve normally.

First, subtract 1x from both sides

4x + 18 = 30

Next, subtract 18 from both sides.

4x = 12

Finally, divide both sides by 4

x = 3

This means after 3 months the number CDs will be equal.

What is 78 to the square root closer to

Answers

Answer:

The square root of 78 is: 8.8317608663278468547640427269593.

This number is closer to the number 9.

Step-by-step explanation:

Use calculator to find square root. Then round it up.

Hope this helps!

If not, I am sorry.

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet? Round to the nearest tenth.

Answers

Answer:

A cylinder,

91.9 ft^3 to nearest tenth.

Step-by-step explanation:

That would be a cylinder,

Volume of the given tree trunk

= π r^2 h

= π  * 1.5^2 * 13

= 91.89 ft^3.

5. Verbal
Explain how to find a line perpendicular to a linear function that passes through a given point.

Answers

Answer:

The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.

Step-by-step explanation:

In the given question, it is given that a linear function passes through a given point.It is required to find a line perpendicular to the function.When two functions are perpendicular, the product of their slopes is equal to -1.Thus, substitute the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.

The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.

We have,

The parallel line to a linear function that passes through a point can be explained using the examples below.

Example:

Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).

Step 1: Given linear function and point

Linear function: y = 3x - 2

Point: (2, 5)

Step 2: Determine the slope of the given linear function

The slope (m) of the given function y = 3x - 2 is 3.

Step 3: Use the slope to find the equation of the parallel line

Since the parallel line has the same slope (3), its equation will be

y = 3x + b, where "b" is the y-intercept that we need to find.

Step 4: Substitute the coordinates of the given point into the equation of the parallel line

Using the coordinates (2, 5) of the given point, we can solve for "b":

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

b = -1

So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:

y = 3x - 1.

Thus,

The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.

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Lines DE and AB intersect at point C.
Mark this and return
A.
(3
B
(2x+2)
(5x+3)*
E
What is the value of x?
O 12
O 25
O38
O 52
Save and Exit
Next
51:10
Submit

Answers

Answer:

25

Step-by-step explanation:

the answer is 25 because I searched it on socratic

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Aseveryone knows, it is in the neighborhood of one hundred and eighty feet high-and I beg to observe that one hundredand eighty feet reach to about the height of four ordinary three-story buildings piled one on top of the other, and is avery considerable altitude for a tower of uniform thickness to aspire to, even when it stands upright-yet this one leansmore than thirteen feet out of the perpendicular. It is seven hundred years old, but neither history or tradition saywhether it was built as it is, purposely, or whether one of its sides has settled. There is no record that it ever stoodstraight up. It is built of marble. It is an airy and a beautiful structure, and each of its eight stories is encircled by flutedcolumns, some of marble and some of granite, with Corinthian capitals that were handsome when they were new. It is abell tower, and in its top hangs a chime of ancient bells. The winding staircase within is dark, but one always knowswhich side of the tower he is on because of his naturally gravitating from one side to the other of the staircase with therise or dip of the tower. Some of the stone steps are foot-worn only on one end; others only on the other end; othersonly in the middle. To look down into the tower from the top is likeriooking down into a tilted well. A rope that hangsfrom the center of the top touches the wall before it reaches the bttom. Standing on the summit, one does not feelaltogether comfortable when he looks down from the high side; but to crawl on your breast to the verge on the lowerside and try to stretch your neck out far enough to see the base of the tower, makes your flesh creep, and convinces youfor a single moment in spite of all your philosophy, that the building is falling. Find the product of the given polynomials (5r+8-6r)(4+2r-7)A.2r^2+13r-24B.-2r^2-24r+19 C.-2r^2+19r-24D.2r^2+19r+24 Order the quotients of these expressions from least to greatest.42.6 7042.6 0.7426 7042.6 0.07 import java.io.InputStream; import java.io.StringReader; import java.util.Scanner; public class Main {public void(String[] args) throws IOException, InterruptedException { Scanner scanner = new Scanner(System.in); System.out.print("Enter the first name of a contributor: "); final String firstName = scanner.nextLine(); System.out.println("The maximum contribution received was " + firstName + "."); System.out.println("The minimum contribution received was " + firstName + "."); System.out.println("The average contribution amount was " + firstName + "."); System.out.println("A total of $" + (Integer)contributions * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1); } } Which of the following are considered to be the four basic market structures? Multiple select question. Pure competition Monopolistic competition Pure monopoly Representative democracy Oligopoly erena is writing an expression that is equivalent to 12ab 6b, but she has not completed it. __?__ (2 a minus 1)What is missing from the expression? Which of the following are examples of elements?a. COb. Lic. KBrd. Ca