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,

Answers

Answer 1

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30


Related Questions

Which problem can be solved by division of decimals?
Danette needs 8 dozen eggs for her restaurant. How many eggs should she buy?
How much money does Dawna need to fill her 11.5 gallon gas tank if the price of gas is $3.59 a gallon?
How many more miles does Judy’s family have to drive to reach their destination if they have driven 45.4 miles of a 123.8 mile trip?
What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Answers

Answer:

What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Step-by-step explanation:

You have to divide 323.7 points by 7 tests so it is the only division problem out of all the problems.

The 4th problem is your answer.
It can be solved using division of decimals!!

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card

Answers

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

Learn more about the probability here:

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Nat’s grocery bill was $150, which included a 5% club discount. What was Nat’s bill before the discount? Write and solve an equation.

Please show work

Answers

The answer is 157.5


A 5% discount is 0.05 then, you have to multiply 150 times 0.05 after, that you get 157.5.

HOPE THIS HELPS!!!!

-1 < 4x + 3 < 7
solve for x

Answers

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

Which problem can be shown using the equation 2 x 8 = 16 2

A rabbit jumps 2 feet. A kangaroo jumps 15 feet The kangaroo jumps 8 times as foros

the rabbit

O A rabbit jumps 2 feet A kangaroo jumps 15 feet The kangaroo jumps & more feet then

the rabbit

6) A rabbit jumps 2 feet A kangaroo jumps 8 feet. The kangaroo jumps 15 times as foros

the rabbit

A rabbit jumps 2 feet. A kangaroo jumps 8 feet. The animalis jump 15 feet in all

Answers

Answer:

C

Step-by-step explanation:

Nicola is multiplying 1/6 by 3/2. Use the drop down menu to complete the statement

Answers

Answer:

Step-by-step explanation:

1/6 x 3/2 = 1/4

Hope it helps

 

       

     

Answer:

Greater than

Step-by-step explanation:

Find the value of k. Then find the
angle measures of the triangle.
2k
45°
ko
Sum of angle
measures: 180°

Answers

k + 2k + 45 = 180

3k = 180-45

k = 135/3

k = 45

2k = 2* 45

90

Sierra wants to invest $5,000 at her local bank. She will receive an interest rate of 1%, compounded annually. What is the value of her investment after two years?

Answers

Answer:

Value of investment for Sierra after two years will be $5100.5

Step-by-step explanation:

Principal Amount P =$5000

Interest rate r = 1% = 0.01

Time t = 2 years

Compounded annually n = 1

We need to find future amount A

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]

So, Value of investment for Sierra after two years will be $5100.5

I need help understanding this-

Answers

Answer: B

Step-by-step explanation: So that inequality, basically means that x is less than -6. Because there is also a line under the less than sign, that means that x is less OR equal to 6. When x can also be equal to 6, the circle on the number line will be filled in (if x was just less than 6, WITHOUT also being equal to it, than the circle would be empty). And because x is less than -6, the arrow will be pointing to the left.


Can someone help me solve all the questions in number 1?

Answers

Answer:

1 = 50⁰

2 = 130⁰

3 = 50⁰

4 = 85⁰

5 = 130⁰

6 = 50⁰

7 = 85⁰

8 = 45⁰

9 = 45⁰

10 = 135⁰

11 = 135⁰

12 = 45⁰

Please help me I need to get this right

Answers

Answer:

try the second one on top

Step-by-step explanation:

The auxiliary equation for the given differential equation has complex roots. Find a general solution.

y''-4y' +7y =0

Answers

Answer:

y = Ae^2xcos√3 x + Be^2xsin√3 x

Step-by-step explanation:

Given the differential equation

y''-4y' +7y =0

Let my = y' and m²y =y''

The auxiliary equation is expressed as;

m²y - 4my +7y = 0

(m²-4m+7)y =0

Divide through by y;

m²-4m+7= 0

Factorize the auxiliary equation

m = 4±√16-4(7)/2

m = 4±√-12/2

m = 4±2√3 i/2

m = 2+√3i

From the complex number a = 2(real part)

b = √3 (imaginary part)

Substitute into the general solution

y = Ae^axcosbx + Be^axsinbx

y = Ae^2xcos√3 x + Be^2xsin√3 x

solve by substitution
y=x+7
2x+y=-5

Answers

Answer:

(-4,3) or X=-4, y=3

Step-by-step explanation:

when solving for the first variable once you have the result then substitute the result into the other equation.

The average age of 40 students of a class is 15 years. An 18 year-old student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.

Answers

Answer:

Answer:age of new student is 13.4 years

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Hope it will help you

Please mark as brainliest answer

the sudent age is 13.4

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

PLZZZZZZZZZZZZZZZZZ HELP!

Solve each equation for the variable. Show every step in your work


-5(x+12)=20

Answers

answer: -5x+12=20

                   -12    -12

            -5x/-5= 8/-5

             x= -1.6

       Check: rewrite the orignal problem

          plug your variable

       

             

Paul bought 1 1/3 pounds of bananas and apples. If he bought 1 4/5 pounds of apples, how many pounds of bananas did he buy

Answers

Answer:

that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

Hope this helps!! :)

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Camila was looking at the architect's blueprint of her house. The scale on the blueprint is shown below the blueprint on the left. What is the PERIMETER on the blueprint if the actual dimensions of her bedroom are 10 feet by 16 feet.
1/4 inch = 1 foot

Answers

Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

A, B & C form a triangle where

BAC = 90°.
AB = 9.1 mm and CA = 12.5 mm.
Find the length of BC,

Answers

Answer:

15.5

Step-by-step explanation:

9.1^2 + 12.5^2 = 239.06

square root of 239.06 is 15.5

Find the slope of a line that passes through the points. (-2, 3) and (4,8).

Answers

m= (y2-y1)/(x2-x1)
m=8-3/4-(-2)
m=5/6
the slope of the line that passes through the points (-2,3) and (4,8), is 5/6

(√7)5=7n, what is n?

Answers

Answer:

n = 5/√7

Step-by-step explanation:

(√7) 5 = 7n

5√7 = 7n

7n = 5√7

n = 5√7/7

n = 5/√7

-TheUnknownScientist

(√7)5 = 7n

Divide both sides by n.

(√7)5/7 = n

20% discount of a grand total of $35.26

Answers

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

Kam can make 72 cookies in 3 hours, Madison can make 128 cookies in 4 hours. How many hours would it take them to make 200 cookies together?

Answers

Answer:

3.7 hours

Step-by-step explanation:

Answer:

3.7 hours

Step-by-step explanation

Kam      

 x = 72/3 .   =    24 cookies/h

Madison

x = 120 / 4    =    30 cookies/hour

Now we write and equation where "t" will be time

        24t + 30t = 200    

        54t = 200

       t = 200/54

       t = 3.7 hours

what is 3/4 ÷ 1/6 hlp​

Answers

Answer:

The answer is 4.5

Step-by-step explanation:

.caculator.....hehe

Answer:

4.5

Step-by-step explanation:

If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey.

How many pounds of turkey will you need to buy?

Answers

Answer:

I will need to buy 22.5 pounds of turkey and pay $23.63

Step-by-step explanation:

Proportions

Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat

[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]

pounds of turkey.

There are going to be 15 people at the dinner, thus the total turkey needed is:

[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]

The turkey costs $1.05 per pound, thus the total cost is

22.5*$1.05 = $23.63

I will need to buy 22.5 pounds of turkey and pay $23.63

write an expression in simplest form 3x x+10 2x+2 and 5x

Answers

I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:

3x+10+2x+2+5x

First, add all the x's together:

3x+2x+5x=10x

Next, add all our numerals together:

10+2=12

Put it together!

10x+12

Find the zeros of each function. Part 2. Please show work.

1. f(x)=2x^3 - 3x^2 - 8x - 3
2. f(x)= x^3 + 3x^2 - 5x - 15
3. f(x)= 2x^4 - 3x^3 - 14x^2 + 18x + 12
4. f(x) = x^3 - 5x^2 + 5x - 1

Answers

9514 1404 393

Answer:

-1, -1/2, 3-3, -√5, √5-√6, -1/2, 2, √62-√3, 1, 2+√3

Step-by-step explanation:

Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.

__

1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)

__

2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...

  f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)

The quadratic factor can be factored using the form for "difference of squares":

  f(x) = (x +3)(x -√5)(x +√5)

The value of √5 is about 2.236, matching the numbers shown on the graph.

The zeros are -3, -√5, +√5.

__

3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2,  +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...

  f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)

The zeros are -1/2, 2, -√6, +√6.

* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).

__

4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...

  f(x) = (x -1)(x^2 -4x +1)

The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...

  y = (x -h)^2 +k

the roots are h±√(-k). The vertex form of the quadratic term is

  y = (x -2)^2 -3

so the roots are 2±√3.

The zeros are 1, 2-√3, 2+√3.

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144. What is the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers if the claim is true?

Answers

Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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WILL MARK BRAINIEST!!!
What is the best estimate for 38?
5.75
6.25
7.5
8.1

Answers

Answer:

The answer is 6.25

Step-by-step explanation:
Root 38 is exactly 6.161441400297. That number estimated would be 6.20 sine 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

The product of z and 19 is represented by which of the following expressions?
A.
19 ÷ z
B.
19z
C.
19 + z
D.
19 – z

Answers

Product means multiplication
z times 19= 19z

Answer: B. 19z
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Some segments counter critics' claims that global warmingis unproven or that it will not have significant consequences, and others illustrate what could happen toanimals that are particularly vulnerable to climate change. Gore also describes actions that can be taken tosuccessfully reverse the effects of global warming and encourages viewers to assist in these efforts.QuestionThe passage suggests thatO global warming is not as dangerous as people thinkO climate change will likely not affect animalsOthere is no scientific evidence to support Gore's claims about global warmingthere is some disagreement about the existence and impact of global warming When do you use the preterite form in Spanish? When do you use the imperfect? Provide examples to support your response. A farm lets you pick 3 pints of raspberries for $12.00. Use any strategy you want to answer the questions below. 1. What is the cost per pint? 2. How many pints do you get per dollar? 3. At this rate, how many pints can you afford for $20.00? 4. At this rate, how much will 8 pints of raspberries cost? what are the kinetic energy Name the 3 elements, in order, that make up a very important part of Thanksgiving. (Spell out a word with chemical symbols) How is this couple practicing healthy communication? Check all that apply. Is unflavored Gelatin a natural resource???!ANSWER NEEDED QUICKLY!!! THANK YOU! Hi, can someone help me revise with the following PIE paragraphs I need help with grammar puntuatuion. I would like if you can help me add or take some setences if does not make sense thank you!!Problem, Cause, and Solution PIE Paragraphs One of the systemic education problems is that the financial aid system doesnt offer financial help to students. For example, When students doesnt recive financial help they are just worry about how they going to pay for their tuition. When they dont have money to pay for they tuition they might thinking in not continue with school. In the memoir Educated, Tara Westover had this problem when she first started school at Brigham Young University. Westover (2018) wrote, My bank account decreased steadily, I had been worried that I might not pass my classes, but a month into the semester, after Id paid tuition and rent and bought food and books, I began to think that even if I pass I wouldnt be coming back to school for one obvious reason: I couldnt afford it (p. 239). Westover said that she might not continue with school because she doesnt have enough money to pay her rent and her tuition. If financial aid provides her help, she might not be thinking in leave the shcool. This concludes that the financial help system is a big problem with students education.The first cause of this problem comes from student parent income. Financial aid offer financial help to students based on they parent income. The financial aid system assumes that a if a student parent income is high enough they will be able to cover their son or doughter tuition. For example, I have a friend who was studying at Skagit valley college she couldnt qualified for financial aid because her parents income was too high. Financial aid thought that her parent would help her because their income was high enough. What financial did not know is that her parent wouldnt help her pay for college tuition. This leads her to stop with her education and looks for work so she can save money to pay for college.The second, cause is that they are hard on the requirement. Financial aid require students to be a full time student in order to qualify for financial aid. When financial aid require student to take 3 classes, they can not learn all the material that they are studying When student take more than three classes, they can not learn what they are studying because is too much for their brain. 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This is what many student face todays their parent income does not have nothing to do with them. For this reason financial aid should not focus on student parent income in order to offer them financial aid. Financial aid system should help students independently not base on their parent income.A solution to financial aid system problem is to change the hard requirement that they have on students. For example the financial aid should provide financial aid for part time students and not just for full time students. If financial aid dont change their requirement, students are more likely are more to not continue with their education. For example, one of my other frind coldnt qualified for financial aid because she was a part time students. Since she couldnt qualified for financial aid she stop attending college. The last time I talk with her she told me that she might not come back to college because she work and she can not be a full time student. 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Fill in the blank beside the triangles with yes or no.