Haddasah and Devon went shopping together. Haddasah bought 6 oranges and 5 lemons for $5.67. Devon bought 3 oranges and 7 lemons for $4.32. Their purchases can be modeled by a system of equations. A. Write a system of equations that represents this situation. Define the variables.

Answers

Answer 1

Answer: Define variables:

x = Cost of orange

y= Cost of lemon

System of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Step-by-step explanation:

Let x = Cost of orange

y= Cost of lemon

Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)

As per given,

6x+5y = 5.67

3x+7y = 4.32

Hence, system of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32


Related Questions

Imani is making costumes for a play. She spent $146.58 on 21 yards of fabric. Write and solve an equation to find how much Imani paid for each yard of fabric.

Multiple choice question.
A)
21p=146.58; $6.98 per yard
B)
146.58p=21; $0.14 per yard
C)
146.58(21)=p; $3078.18 per yard
D)
21p=146.58; $3078.18 per yard

Answers

Answer:

A

Step-by-step explanation:

21 yards and Total cost of $146.58

p = 1 yard

Equation: 21p = 146.58

p = 146.58/21

p = 6.98

21p=146.58 will describe the equation and the amount paid for each yard is $6.98 so option (A) will be correct.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Amount of fabric = 21 yards

Since cost per yard of fabric is given by p

So,

The total cost of fabric = Amount of fabric ×  cost per yard

146.58 = 21p

21p=146.58

Now,

p = 146.58/21 = 6.98.

Hence "21p=146.58 will describe the equation and the amount paid for each yard is $6.98".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

A store buys a jacket for 20:00$ and then sells it to a customer for 80% more than that. What is the selling price of the jacket

Answers

Answer:

$36

Step-by-step explanation:

20(1.80) = 36

PLAY AMOUNG US WITH ME PLZ FAZWQ

Answers

Answer:

OKAY!! :D

Step-by-step explanation:

Answer:

sorry cant

Step-by-step explanation:

The Smiths spend 11% of their budget on entertainment. Their total budget this year is $1,000 more than
last year, and this year they plan to spend 4,730 on entertainment What was their total budget last year?
Their total budget last year was

Answers

740 because if u add and subtract

y=7x+ 2/5 as standard form

Answers

Answer:

use symbolab

Step-by-step explanation:

79x10 to the power of 7 +6.5x10 to the power of 6

Express your answer in scientific notation

Answers

Answer: 10⁶⁵⁰⁰⁰⁰⁷  ×  79

Show work please I’ll mark brainliest

Answers

Answer:

2 and 4

Step-by-step explanation:

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,7) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (8,2).
The equation is

Answers

A if you multiply the divide the. Subtract the add the. Iudjnff

PLZ HELP!!!!!!! A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

If f(1) = 10, what is f(3)?

1

6

8

30...

Answers

Answer:

[tex]f(n + 1) = f(n) - 2 \\ n = 1 - - - - f(1 + 1) =f(1) - 2 \: \: \: - - - > \: \: f(2) = 10 - 2 = 8 \\ f(2) = 8 \\ n = 2 - - - - f(2 + 1) = f(2) - 2 \: \: \: - - - > \: \: \: f(3) = 8 - 2 = 6 \\ so \: f(3) = 6 \\ and \: we \: are \: done.[/tex]

Please help with this legit answers only please!!!

Calculate and Find the slope of the line

Answers

Answer:

3

Step-by-step explanation:

the slope id going up at a rate of 3

A hot air balloon is flying 260 feet in the air. It descends at a rate of 10 feet per second. Identify the rate of change

Answers

Answer:

26 secs until reaching ground level

Step-by-step explanation:

260/10=26

i know she graphed it correctly but i don't know the steps she took to graph it

Answers

She graphed it correctly.

The inequality [tex]3y \le 2x[/tex] is the same as [tex]y \le \frac{2}{3}x[/tex] after dividing both sides by 3 to isolate y.

From here you graph [tex]y = \frac{2}{3}x[/tex] which is a straight line through (0,0) and (3,2). This line is made solid because of the "or equal to" as part of the inequality sign above.

We shade below the solid boundary due to the "less than" portion of the inequality sign.

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

w - 7 < -22

Step-by-step explanation:

Answer:

w - 7 < -22

Step-by-step explanation:

This should be correct. Let me know!

if the area of a right isosceles triangle is 128 sq . m, what will be length of the identical side of the triangle​

Answers

Let's see. What is a right isosceles triangle?

A right isosceles triangle is a triangle with one right angle with at least two equal sides. In this case, it would have to be ONLY two because it has a right triangle.

What is the formula for the area of an isosceles triangle?

When y = the identical side lengths of the triangle,

and A = area,

(y × y) ÷ 2 = A

Note: Remember to compute from left to right! :)

We divide by two because when you multiple the two identical sides, you would get a square. However, we're trying to find the right isosceles triangle, and we divide by two.

Now, we can plug-in our values!

(y × y) ÷ 2 = 128

(y × y) = 64

Now, we square root both sides!

y = √64

y = 8

The length of the identical sides of the triangle is 8 meters.

[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that area of an isosceles triangle is 128m² .

And the triangle is right Angled ∆ .

So , the measure of sides along 90° that is perpendicular and the base will be equal .

Let us say that each of the equal sides is x .

Then , we can find the area of the triangle as ,

[tex]\boxed{\bf{\red{ Area_{triangle}=\dfrac{1}{2}\times(base)\times(height)}}}[/tex]

Now , here substitute the respective values ,

[tex]\implies \sf \dfrac{1}{2}\times(base)\times(height)=128m^2[/tex]

[tex]\sf\implies \dfrac{1}{2}\times x \times x = 128m^2[/tex]

[tex]\sf \implies \dfrac{x^2}{2}=128m^2[/tex]

[tex]\sf\implies x^2=128\times2 m^2[/tex]

[tex]\sf\implies x^2=256 m^2[/tex]

[tex]\sf\implies x=\sqrt{256m^2}[/tex]

[tex]\underline{\boxed{\red{\sf\longmapsto x=16m}}}[/tex]

Hence the value of value of identical side of the triangle is 16m .

I can add fractions with unlike denominators 3/7 + 1/6 =



PLEASE WITH THIS QUESTION ​

Answers

Answer:

25/42

Step-by-step explanation:

first find same denominators

18/42 + 7/42

then add the new fractions

18/42 + 7/42 = 25/42

Hope this helps :)

Have a nice day :)

Can you give me brainliest plz :)

Answer:

25/42

Step-by-step explanation:

You can get to 25/42 by finding the least common denominator, or in layman's terms, by seeing what the lowest number the two denominators can both EQUALLY go in to. in this case it's 42, as both 6 and 7 can go into 42 equally, and 42 is the lowest number that they both can go into. So after you find the least common denominator, you make that the denominator of both fractions, and multiply the two numerators by however many times you had to multiply the denominators by. for example, to get 7 to 42, you need to multiply it by 6, so you would then multiply the numerator, in this case it's 3, 6 times, netting you 18. you do the same thing with the other fraction, since the numerators 1, you multiply it by 7, since you had to multiply 6 by 7 to get 42. this leaves you with 18/42 + 7/42, which you can now normally add together to get 25/42, and since it can't be reduced, it stays this way. Hope this helps :)

Ralph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they will each meet back at the Ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the Ferris wheel every 15 minutes. Joe checks in every 24 minutes. At what time will they meet at the Ferris wheel again?

Answers

Answer:

Ralph and his brother are at a carnival. They ... other at the ferris wheel at 1:00 PM, and they agree that they will each meet back at the ferris wheel from time to time to see whether the.

Step-by-step explanation:

try your best mark a brain liest

fred has $28 to buy sketch paper for his art class. Each sketch pad costs $9. how many sketch pads can he buy?do not include units in your answer

Answers

Answer:

3

Step-by-step explanation:

9/3=3.11111111 round it and you get 3

The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points ​(​4,​112) and ​(​6,168​) to find the number of soda bottles the machine can make each minute.

Answers

Using y to represent number of bottles filled in x minutes, y = 250x.

This is rather basic, and I urge you to think about it so that it's very clear to you, and you will be able to do similar problems on your own in the future.

The graph will be a straight line passing through the origin (0,0).

Answer:This is rather basic, and I urge you to think about it so that it's very clear to you, and you will be able to do similar problems on your own in the future.

Step-by-step explanation:

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
O y--3x+1
O y-5x+7
O y = -2x - 8
O y = 2x + 16

Answers

Answer:

[tex]\displaystyle y=-\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two points are given: (-6,4) and (-2,2). Calculating the slope:

[tex]\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}[/tex]

The equation of the line is, so far:

[tex]\displaystyle y=-\frac{1}{2}x+b[/tex]

To calculate the value of b, we use any of the given points, for example (-6,4):

[tex]\displaystyle 4=-\frac{1}{2}(-6)+b[/tex]

[tex]\displaystyle 4=3+b[/tex]

Solving:

b = 1

The equation of the line is:

[tex]\boxed{\displaystyle y=-\frac{1}{2}x+1}[/tex]

We can see none of the choices is correct.

A video game console uses 154 watt-hours of energy each hour. The console was used 276 hours last year. How many watt-hours of energy did the console use?

Answers

Answer:

The console was used 42,504 watt-hours of energy last year

Step-by-step explanation:

video game console uses 154 watt-hours of energy each hour

The console was used 276 hours last year.

How many watt-hours of energy did the console use?

Watt hours of energy used = 154 × 276

= 42,504 watt-hours of energy

The console was used 42,504 watt-hours of energy last year

Please Help me with question

Answers

The answer is three what you simply do is just look at what is dividable by the two answers so 12÷3 for 24÷8 for and so on

What’s -4•9-3=

And the dot is multiplication!

Answers

Answer:

-39

Step-by-step explanation:

Answer:

-39

Step-by-step explanation:

1. -4 × 9 -3

2. -36-3

3. -39

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?
1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67

b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$

Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!

Answers

Table B represent a proportional relationship,where the constant of proportionality is 0.025
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.

20 mi/h=___________ ft/hr

Answers

Answer:

105600

Step-by-step explanation:

Answer:

105,600 feet per hour

Step-by-step explanation:

1 mile = 5,280 feet

5,280 feet x 20 miles = 105,600 feet

Hope I helped!

653500 to the nearst thousand

Answers

Answer:

654000

Step-by-step explanation:

653500

5 and over makes the number to the left 1 number

654000

Step-by-step explanation:

654,000 is the answe

Which ratio shown below is NOT equivalent to − 15 23

Answers

Answer:

what is the answer below

Step-by-step explanation:

-2x^2(3x - 6)
options to choose from
6x^3 + 12x^2
6x^3 - 12x^2
-6x^3 + 12x^2
-6x^3 - 12x^2

Answers

The answer is -6x^3 + 12x^2

Solve the equation below. SHOW UR WORK

10x − 6 = 24

Answers

Answer:

3

Step-by-step explanation:

10x-6=24

10x = 24+6 (You switch sides because you can add 24 and 6. You cannot add 10x to 24 or 6)

10x= 30

x= 30/10

x= 3

The answer is 3.

Answer:

x=3

Step-by-step explanation:

10x-6=24

Subtract 6 from 6 and then add 6 to 24

10x=30

30÷10=3

Divide 30 by 10

x=3


2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please ​

Answers

this is the first answer

help me plz its urgent ​

Answers

Answer:

2 and 3

Step-by-step explanation:

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