A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange. They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations.


Can we find a unique price for an apple and an orange?

- Yes; they should charge $3.30 for an apple and $2.00 for an orange.

- Yes; they should charge $2.00 for an apple and $3.30 for an orange.

- No; the system has many solutions.

- No; the system has no solution.

Answers

Answer 1

Answer:

Yes; they should charge $3.30 for an apple and $2.00 for an orange.

Step-by-step explanation:

We can answer this question by creating some simultaneous equations.

Let [tex]x[/tex] = an apple and let [tex]y[/tex] = an orange.

With the information given, we can say that the price for an apple and an orange is equal to $5.30 while the price for an apple and 2 oranges is equal to $7.30.

Therefore:

[tex]x+y = 5.30[/tex]   (1st equation)

[tex]x + 2y = 7.30[/tex] (2nd equation)

There are a couple of ways to solve these equations but I'll show you the substitution method. This is when we substitute the value of one of the equation into the other one.

So let's re-arrange one of them.

[tex]x+y=5.30[/tex] can be re-arranged into [tex]x= 5.30-y[/tex]

Now we know the value of [tex]x[/tex], we can replace the [tex]x[/tex] in the second equation.

Therefore [tex]5.30-y + 2y=7.30[/tex]. We can simplify this to give us [tex]5.30 + y = 7.30[/tex] and re-arrange to solve for y: [tex]y = 2[/tex].

Now we know the value of y, let's put it into the first equation:

[tex]x+2 =5.30[/tex]

and solving for [tex]x[/tex] we get: [tex]x = 3.30[/tex].

Therefore the price of an apple ([tex]x[/tex]) is $3.30 and the price of an orange ([tex]y[/tex]) is $2.

From the list of answers, there is only one correct option which is:

- Yes; they should charge $3.30 for an apple and $2.00 for an orange.


Related Questions

PLS HELP!! GIVING BRAINLIEST!! :((

Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0

Answers

Answer:

1 3 7 15 31

Step-by-step explanation:

i used a calculator.       Calculator Soup® is a good website for calculating stuff

Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?

Answers

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

IQR = 40 - 20 = 20°

✔️IQR for Town B:

Q3 = 30

Q1 = 20

IQR = 30 - 20 = 10°

We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

what basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x

Answers

Answer:

tanx = sinx/cosx

Step-by-step explanation:

Given the expression

sin x cos x tan x = 1 - cos^2x

According to trigonometry identity

tan x = sinx/cosx

Substitute into the expression. From LHS

sin x cos x tan x

= sin x cos x (sinx/cosx)

= sin²x

Also since sin²x+cos²x = 1

Hence sin²x = 1 - cos²x (RHS)

The correct option is therefore tanx = sinx/cosx

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the pyramid is 13.4\text{ ft}13.4 ft. Round your answer to the nearest tenth of a cubic foot. Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero


Two vehicles are traveling at constant speeds. The distance traveled over a period of
time by the first vehicle is shown in the graph below. The distance traveled over a
period of time by the second vehicle is shown in the table below. Which vehicle is traveling
at a greater speed?
Vehicle 1
Vehicle 2
Distance (miles)
(3,120)
(2,80)
Time Distance
(hours) (miles)
5 150
8 240
Time (hours)
T

Answers

Answer:

Step-by-step explanation:

vehicle one is traveling at a greater speed.    from the graphs we can see that in one hour the care would travel 40 miles.

the table shows the 2nd vehicle traveling 30 miles in one hour

So car 1 is going faster  :)

Answer:

Vehicle 1 is Moving Faster.

Step-by-step explanation:

For vehicle 1.

(2,80) (3,120)

∆Distance= 120-80 = 40miles

∆time = 3-2=1hr

So V=Distance/time = 40miles/1hr

V1 = 40miles per hour.

For car 2.

∆Distance=240-150 =90miles

∆time=8-5 = 3hrs

V=90/3

V=30Miles per hour.

So Car1 is Moving faster and at a velocity of 40Miles per hour.

Direct, inverse, or neither?: xy = 15

Answers

Answer:

Well, to be perfectly honest in my humble opinion, of course without offending anyone who thinks different from my point of view but also by looking into this matter in a different perspective and without condemning one's view and by trying to make it objectified and considering each and everyone's valid opinion, I honestly believe that I completely forgot what I was going to say.

156 divided by 3 with remaining

Answers

Answer: 52

Step-by-step explanation:

Divide 156 by 3, you get 52 with a remainder of 0.

In long division, you would write it as:

To perform the division, start by dividing 3 into the first digit of 156, which is 1.

  3 ) 156 ( 52

     - 15

   _______

          6

         -6

     _______

           0

3 cannot go into 1, so you move to the next digit, 15. 3 can go into 15 five times (3 * 5 = 15). After subtracting 15 from 15, you have 0.

Now, you bring down the last digit, 6, to form 6. Since 3 can go into 6 two times (3 * 2 = 6), the final quotient is 52, and the remainder is 0.

In summary, 156 divided by 3 is equal to 52, with no remaining or fractional parts.

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6

a cereal box is 10.4 inches high 7.4 inches long and 2.3 inches wide. what is the volume of the cereal box rounded to the nearest cubic inch

Answers

Answer:

177.008in^3

Step-by-step explanation:

Given data

Height= 10.4in

Lenght= 7.4in

Width= 2.3in

The expression for the volume of a box is given as

Volume= Length*width*Height

Volume= 10.4*7.4*2.3

Volume= 177.008 in^3

Hence the volume is 177.008in^3

1. It refers to the size of a surface. What is it?
A. Area
B. Height
C. Length
D. Volume

Answers

Area of course also just a reminder Area is measured in square units such as square centimteres, square feet, square inches, etc

1000 + 874 + 53528 - 1026 =

Answers

Answer:

54376

is the answer .......

What is the product of 4 cos
14 (cos(37) + i sin (34) and 2 (cos(5) + sin(5)}?

Answers

--4 cot (--45)

cos (390)

sin (330)

FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.

A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please

Answers

Answer:

d

Step-by-step explanation:

In the diagram below, what is the measure of angle 1?

Answers

Answer: 82 degrees

Step-by-step explanation:

15 degrees is the answer to this question

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?

Answers

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

The running back ran a total of 258 yards during the football game last Sunday. That was ten less than three times the amount of yards, y, that he ran two weeks ago. Which equation can be used to find the number of yards that he ran two weeks ago?

Answers

Answer:

258 = 3y - 10

3y = 258 + 10

3y = 268

Step-by-step explanation:

Using the graph, what is one solution to the equation f(x) = g(x)?
x = 3.9

x = 1

x = 0.25

x = −2

Answers

Answer:

I THINK ITS 1x

Step-by-step explanation:

1x+2-2=1x

What is the area of this Triangle? Geometry.

Answers

Answer:  11 square units

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

Explanation:

Refer to the diagram below. I've added point labels A,B,C to the corners of the rectangle. A in the upper left corner, B in the upper right, C in the lower right.

The area of the rectangle is

length*width = AB*BC = 6*4 = 24 square units.

We'll use this value later, so let m = 24

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

The area of triangle IAK is

base*height/2 = KA*AI/2 = 2*4/2 = 8/2 = 4 square units

We'll use this value later, so let n = 4

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

Repeat the idea of the last section, but do so for triangle KBJ

area = base*height/2

area = JB*BK/2

area = 3*4/2

area = 12/2

area = 6

Triangle KBJ is 6 square units. Let p = 6 so we can use it later.

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

Lastly, triangle JCI has area of...

area = base*height/2

area = IC*JC/2

area = 6*1/2

area = 3

Let q = 3

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

To summarize everything so far, we have

m = 24 = area of entire rectanglen = 4 = area of triangle IAKp = 6 = area of triangle KBJq = 3 = area of triangle JCI

As you can probably guess where this is going, we'll subtract off the areas of the smaller triangles (n, p and q) from the overall larger rectangle (m) to get the area of triangle IJK.

m - n - p - q = 24 - 4 - 6 - 3 = 11

Triangle IJK has an area of 11 square units.

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

An alternative method involves using this outline

Use the distance formula to find the side lengths IK, IJ, and KJThen use Heron's Formula to find the area of the triangle.

Aşağıda verilen kesirlerin yüzde sembolü kullanılarak verilen gösterimlerden hangisi yanlıştır A 3/4=%75 B 2/4=%50 C 8/25=%32 D 15/75=%12

Answers

Cevap:

D

Adım adım açıklama:

Verilen İfadelerin Değerlendirilmesi:

3/4 = 0.75; 0,75 *% 100 =% 75 - doğru

2/4 = 1/2; 1/2 *% 100 =% 50 - Corect

8/25 = 0,32 *% 100 =% 32 - doğru

15/75 = 1/5 = 0,2 * 100 =% 20,% 12 olarak verildiği için yanlıştır

f(x) = x2
g(x) = 3x2
Which option could show the graphs of f and g?

Answers

Answer:

2 Transformations

Step-by-step explanation:

A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)

Carly buys 3 more band concert tickets than choir concert tickets. Band concert tickets cost $3.50 per ticket. What is the cost for the choir concert and band concert tickets?

Answers

Answer:

I'm not to sure, but I'll say 10.5

If you multiply 3.50 x 3 you'll get 10.5

If you add you'll get 13.5.

If it's an addition I'll recommend to go with 13.5

If it's a multiplication  I'll recommend to go with 10.5

If anyone is good at math do you mind helping me ty.

Answers

Answer:

c

Step-by-step explanation:

you need to find which plot matches the data table

Decide if the following statement is valid or
invalid.
If you live in Miami, then you live in Florida.
Jada lives in Florida, so she lives in Miami.
Valid
Invalid

Answers

Answer:

Invalid

Step-by-step explanation:

Answer:

Invalid

Step-by-step explanation:

You can live in Florida outside of Miami.

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)



HELPPPPPPPP​

Answers

Answer:

$103

Step-by-step explanation:

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)

From the above question:

1 square foot = $3.19

32.29 square feet = x

Cross Mulitiply

x = 32.29 × $3.19

x = $103.0051

Approximately to the nearest cent = $103

Therefore, it will cost $103 to purchase the flooring panels

Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?

Answers

Answer:

4 in 5 days

Step-by-step explanation:

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Answers

Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

Why to solve this question ​

Answers

Answer:

35°, 70°, 75°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 2x + 75 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

2x = 2 × 35 = 70°

The angles in the Δ are 35°, 70°, 75°

The three angles of the triangle are 75°, 70° and 35°.

Step-by-step explanation:

We know that,

Sum of angles of a triangle = 180°

⇢ 75° + 2 x + x = 180°

⇢ 3x = 180° - 75°

⇢ 3x = 105°

⇢ x = [tex] \frac{105}{3} [/tex]

⇢ x = 35°

[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]

HELP PLEASE NO LINKS PLEASEEEEEE

Answers

Answer is that all the side lengths are 7 inches.

An equilateral triangle means that all the sides are equal.

The given perimeter is 21 inches, meaning that all the sides add up to 21.

Remember that all the sides are equal in an equilateral triangle and that a triangle has 3 sides, so you can just do 21 divided by 3, making the side lengths 7 inches.

"The product of four and a
number is more than ten."

Answers

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

determine the y intercept in the slope intercept form of an equation y=mx+b given a table x:4,6,8 y: 10,12,14​

Answers

Answer:  b.  6

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

Explanation:

Let's use the first two rows of the table to find the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (12-10)/(6-4)

m = 2/2

m = 1

The slope is 1.

Now let's use the first row of the table, along with the slope we just found, to plug into y = mx+b. The goal is to find b.

y = mx+b

10 = 1*4+b

10 = 4+b

10-4 = b

6 = b

b = 6

The y intercept is 6.

The y = mx+b equation is y = 1x+6 which is the same as y = x+6

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