You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5
apples and 4 pears for 10 dollars. You get 5 apples and 5 pears for 11 dollars. Write a system of
equations that could be used to find the price of an apple and the price of a pear.

Answers

Answer 1

Answer:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

1 apple costs $1.2

1 pear costs $1

Step-by-step explanation:

Represent Apples with A and Pears with P

For the person in my front, the expression is:

[tex]5A + 4P = 10[/tex]

For me, the expression is

[tex]5A + 5P = 11[/tex]

Hence, the system of equation is:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

Solving for the values of A and P.

Substract equation (2) from (1)

[tex]5A - 5A + 4P - 5P = 10 - 11[/tex]

[tex]-P = -1[/tex]

[tex]P = 1[/tex]

Hence, 1 pear costs $1

Substitute 1 for P in [tex]5A + 4P = 10[/tex]

[tex]5A + 4 * 1 = 10[/tex]

[tex]5A + 4 = 10[/tex]

[tex]5A = 10 - 4[/tex]

[tex]5A = 6[/tex]

[tex]A = \frac{6}{5}[/tex]

[tex]A = \$1.2[/tex]

Hence, 1 apple costs $1.2


Related Questions

Question 1

Solve the equation formed when f (x) = g(x).

f (x) = 3x – 4
g(x) = -2x + 1

X = -4
X = -1
X = 1
X = 4

Answers

Answer:

X= -4

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!!!!!!!!

find the value of the x intercept -x+y=-5

Answers

Answer:

x=-5=(5,0)

Step-by-step explanation:

Answer:

X-intercept is five. The point is (5,0)

Step-by-step explanation:

X-intercept is when the line crosses the x-axis, ie when y is o. Sub zero in for y.

-x+y=-5

-x+0=-5

-x=-5

x=5

pleaseee helpp i have 20 mins for a unit testt

Answers

Answer: Its c

Step-by-step explanation:

I think

what is the answer?​

Answers

A=43 degrees.
a triangle equals 180 degrees, 2 angles are given 47 degrees and the 90 degree angle that makes a right square. 90+47=137. 180-37=43.

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? 27° 36° 54° 72°

Answers

Answer:72

Step-by-step explanation:

Answer:

The answer is D) 72

Step-by-step explanation:

I got the questions right on edge 2020. good luck everyone. please rate the question.

find three consecutive numbers whose sum is 84

Answers

Answer:

three  consecutive numbers that add up to 84 are 27,28 and 29

Step-by-step explanation:

27+28=55

55+29-=84

How many halves are in 8/10

Answers

Answer:

1 half with 3/10 left over.

Step-by-step explanation:

1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.

What do you call the pairs of roots of quadratic
equation with complex solutions?
Math

Answers

Imaginary numbers
Imaginary numbers contain complex solutions (a +- bi)

help plz (I give you brainlist)

Answers

Answer:

58.3825

Step-by-step explanation:

Add all 4 numbers together and divided by how many numbers are there (4)and you get your answer

what is 99,765 divided by 5?

Answers

Answer:

It is 19,953. Your welcome

Answer:

99,765/5= 19953 :)

Step-by-step explanation:

please help me out....​

Answers

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

Which of these statements best describes the relation shown in Item 1?

A- A function that is one-to-one
B-A function that is many-to-one
C-A function that is one-to-many
D-A relation that is not a function

Answers

Answer:

The relation is 'a function that is one-to-many'.

Step-by-step explanation:

From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.

In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.

Therefore, the relation is 'a function that is one-to-many'.

The statements that best describe the relation shown in Item 1 is one to many. Option C is correct

Functions are represented as mappings to relate the domain of the given function with the co-domain.

For instance, the function y= x + b has a domain of x and the codomain of "y"

Mappings can be one to one, where each value of the domain is a unique value in the co-domain

Many to one where one element in the domain have more than one element in the codomain

From the given table, we can see that when y = 10, the corresponding x values are 5 and -5. his shows that the codomain value (10) has more than one unique value in the domain.

Hence the statements that best describe the relation shown in Item 1 is a one to many

Learn more here: https://brainly.com/question/22738955

hehe i need help with the whole quiz basically:I
Find the decimal that is equivalent to:



A. 1.714
B. 0.583
C. 0.0583
D.

Answers

Answer:

a

Step-by-step explanation:

math

Answer:

Don't cheat that's lame

3.
Lakpa buys 20 items for Rs 6000. He sells them at Rs 390 each. Calculate:
(a)
His total profit on the deal.
(b)
His percentage of profit on the deal​

Answers

Your answer is a your welcome

What is the sum of 6 and y

Answers

Answer:

6+y

Step-by-step explanation:

6+y is the ans as the question has asked to sum of them but it has not given any other clues

Answer:

i got 6y

Step-by-step explanation:

DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage t hours after Sara left her house

Answers

Answer:

The answer would be B=-8>80

Step-by-step explanation:

B= 80-8t is the answer

Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105

Answers

Answer:

5 hours

Step-by-step explanation:

252 divided by 12= 21

21x5=105

3/13% of a quantity is equal to what fraction of the​ quantity?

Answers

Answer: 3/1300

Sorry I’m late !!

Helpp pleaseeee i will make brainliest!

Answers

Answer:

d and a

Step-by-step explanation:

Options B and C are the correct answers.
Two angles are said to be supplementary when the sum of the two angles is 180°. When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles:)

hey ok i need help on this question ive been stuck on it for a couple minutes haha

Answers

Answer:

The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

       s               :          q             :        8

→ By using cross multiplication

s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

s = 4

The length of s is 4

q × 2 = [tex]\sqrt{3}[/tex] × 8

∴ 2q = 8[tex]\sqrt{3}[/tex]

→ Divide both sides by 2

q = 4[tex]\sqrt{3}[/tex]

The length of q is 4[tex]\sqrt{3}[/tex]

One of the slowest fish is the blenny
fish. The function y = 0.5x describes
how many miles y the fish swims in
x hours. Graph the function. Use the
graph to estimate the number of miles
the fish swims in 3.5 hours.
.

Answers

Answer:

It swims 1.75 miles in 3.5 hours. X stands for hours so x=3.5. Y stands for miles so y=1.75.

Step-by-step explanation:

your equation is y=0.5x

we know x=3.5

so y= 0.5(3.5)

solve and you get y= 1.75

so in (x,y) intercept format (3.5,1.75) and you can make a graph and label your x intercepts hours and your y intercepts miles traveled.

The number of miles  the fish swims in 3.5 hours is 1.75 miles.

The equation of a straight line is:

y = mx + b;

y, x are variables, m is the slope of the line and b is the y intercept.

Given the function: y = 0.5x;

where y represent the miles the fish swims in  x hours.

The graph of the function is plotted using geogebra online graphing tool.

From the graph, the number of miles  the fish swims in 3.5 hours is 1.75 miles.

Find out more at: https://brainly.com/question/13911928

Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.

Answers

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

[tex]N=\dfrac{b-20}{4}[/tex]

Hence, this is the required solution.

f) 16 - p = 12
g) 18 - 2p = 6
h)p2+ 4 = 9
i)p4- 3 = 1
**MUST SHOW YOUR WORK**

Answers

f) 16 - p = 12 minus 12
4 - p = 0 plus p
p = 4
g) 18 - 2p = 6 divide by -2
-9 + p = -3 plus 9
p = 6
h) p x 2 + 4 = 9 divided by 2
p + 2 = 4.5 minus 2
p = 2.5
i) p x 4 - 3 = 1 plus 3
p x 4 = 4 divided by 4
p = 1

Which equation below has no solution?
A) 3(6x + 8) = 24 + 18x
B) 8(x + 4) = 12x - 6
C) 5x - 4 = 2(4x + 8) - 3x

Answers

Answer:

B

Step-by-step explanation:

Emma borrowed $89.40 from her sister. She determines that she can pay her back the total over six months. Which number reflects the monthly change in her balance?

Answers

Answer:

$14.9

Step-by-step explanation:

Step one:

given data

we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.

let us solve for the amount she is to pay her sister every month.

amount to be paid per month= 89.40/6

=$14.9

So that every month she pays back her sister $14.9

we don't know her balance but every month there will be a deduction.

Hence the monthly change in her balance is reflected by a deduction of $14.9

PLEASEE HELP I WILL BRAINLISTT Question 2: Given the function defined by y = x^2, which of the following is its average rate of change from x = 2 to x = 10? *
A.5/2
B.2
C.8/3
D.12

Answers

D is the correct answer

12 is its average rate of change from x = 2 to x = 10.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given the function defined by y = x^2

now,

its average rate of change from x = 2 to x = 10,=

=10^2-2^2/10-2

=100-4/8

96/8

=12

Hence, 12 is its average rate of change from x = 2 to x = 10.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observed that each tree was either twice as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters?

Answers

Answer:

A) 22.2

Step-by-step explanation:

I took AMC 8 and got it right. ^^

The figure is cut into 6 equal pieces. shade 2/3 of the figure

Answers

Answer:

you need to shade 4/6

Step-by-step explanation:

What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19

Answers

Answer:

The answer is D

Step-by-step explanation:

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