PLEASE HELP ASAP, I HAVE 10 MINUTES ;
Arianna and her children went into a grocery store where they sell peaches for $1 each and mangos for $0.50 each. Arianna has $9 to spend and must buy at least 13 peaches and mangos altogether. If x represents the number of peaches purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
Step-by-step explanation:
when 13 bought we find these inequalities
x + 12y < 7 no
2x + 11y < 7.5 no
3x + 10y < 8 no
4x + 9y < 8.5 no
5x + 8y > 9 yes
When 14 bought we find these inequalities
x + 13y < 7.5 no
2x + 12y < 8 no
3x + 11y < 8.5 no
4x + 10y > 9 yes
We want to find and solve a system of inequalities to determine some possible solutions to Arianna's situation.
The possible solution is:
x = 2
y = 12
And the graph can be seen at the end.
Now let's see how to solve this.
First, we need to write the system of inequalities, the information given is:
Price of each peach = $1.Price of each mango = $0.50Arianna has $9.Arianna must buy at least 13 fruits.Now we can define the variables:
x = number of peaches that she buysy = number of mangos that she buysThen we must have:
x + y ≥ 13 (this means that she buys at least 13 fruits)
x*$1 + y*$0.50 ≤ $9 (this means that she can't spend more than $9)
Now we just need to graph these two lines, we can rewrite them as:
y ≥ 13 - x
y ≤ $9.00/$0.50 - x*$1/$0.50 = 18 - x*2
Then we just need to graph the two lines, and shade the region above the first one, and the region below the second one, the graph can be seen below:
Any point inside the double shaded region in the first quadrant is a possible solution. (we restrict only to the first quadrant because we can not use negative values for x nor for y).
Then a possible solution that we could choose is:
x = 2
y = 12
This means that she buys 2 peaches and 12 mangos.
If you want to learn more, you can read:
https://brainly.com/question/19526736
Related Questions
x = 6y – 14
-X + 9y = 17
Answers
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest
Answers
t=100 I was not sure about y sowyy
PLEASE HELP!! WILL MARK BRAINLIEST!! DONT GUESS :)
Answers
15x + 45 = 180
15x = 135
x = 9
hope this helped!
Answer:
x=9
Step-by-step explanation:
180-108=72 so the equation using x has to equal 72
(15x-63)=72
+63
15x=135
divide by 15
x=9
what is the value of 58 - 2 x 3 + 1
Answers
Answer:
53
Step-by-step explanation:
You apply the
{Select)
operation
[ Select ]
-for multiplication equations and
[ Select ]
for division equations
-to
[ Select ]
of the equation.
Answers
Answer:
ndhduejcijgisjcidjcjzjfjidjicjdici djcojzifcjdjcu
Step-by-step explanation:
no se weydgfds
Describe how a point on a graph is related to a table and an equation that represent the same relationship.
Answers
Answer:
because everything is relative to each other.
Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.
Answer:
Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.
Brainliest?!?!??!?
I need one more .
5x5=? someone help please
Answers
Answer:
25
Step-by-step explanation:
explanation : 5 5 5 5 5
3. Maryia wants to save money on a new computer. At the store near her,
the computer she wants is listed at a regular price of $400.00. On
Saturday, the store will have a sale and discount the computer by 1/5 off
the original price. How much will Maryia pay, when she buys the computer
that Saturday? *
A. $320
B. $210
O C. $250
O D. $120
Answers
Answer:
A
Step-by-step explanation:
So, what is happening is that the sale would put the computer on 4/5 the original price, since 1/5 of the price is being taken away in the sale.
4 divided by 5 is 0.8, and 0.8 times 400 is 320.
Hope this helps!
f(x) = x2 + 1
f(-3)=)
Answers
Answer:
f(-3) means, put -3 at x
therefore, f(-3)= 3²+1
=10
The length of a rectangle is three times its width, if the area of the rectangle is 108cm2, find its perimeter
Answers
Answer:
The perimeter of rectangle is 48 cm.
Step-by-step explanation:
First, you have to form an expression for the length and the width. Let x be the width :
width = x cm
length = 3 × x = 3x cm
Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :
A = length × width
108 = 3x × x
3x² = 108
x² = 108 ÷ 3
x² = 36
x = √36
x = 6 cm
Lastly, you have to find perimeter :
length = 3 × 6 = 18 cm
width = 6 cm
Perimeter = 2(length + width)
P = 2(18 + 6)
P = 2(24)
P = 48 cm
Answer:
48cm
Step-by-step explanation:
Solve for x and y
A=3y
B=105
C=9x+5
D=2x+10
Answers
Answer:
Where's the equation?
Olivia takes a brisk walk around a pond. She walks 1.25 hours at an average speed of 3 miles per hour. What is the distance around the pond? The distance around the pond is _____________________.
**Please label your answer.**
Answers
Answer:
3.75 miles i think
Step-by-step explanation:
you deposit 3,800 in an account with an annual interest of 5.2% for 20 years
Answers
First, convert R percent to r a decimal
r = R/100
r = 5.2%/100
r = 0.052 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 3,800.00(1 + 0.004333333/12)(12)(20)
A = $ 10,726.90
Rent it right rents compact cars for $38 per day plus $0.15 per mile. Lucia rented a car for 3 days and was charged $150. How many miles did she drive?
Answers
Answer:
240
Step-by-step explanation:
first 38 times 3 = 114
second 150-114= 36
third 36/0.15= 240
answer is 240
Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!
Answers
Answer:
in average a it take both faucets together to fill the water cooler=(8+12)/2=10minutes
5. Carlos and Mike are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Carlos sold 1 pecan cheesecake and 4 apple cheesecakes for a total
of $44. Mike sold 14 pecan cheesecakes and 14 apple cheesecakes for a total of $238. Find the cost
each of one pecan cheesecake and one apple cheesecake.
a. Define variables:
b. System:
c. Solve the systems (optional):
Answers
Answer:
One pecan costs $8. One apple costs $9.
Step-by-step explanation:
p and a are number of number of pecan and apple sold, respectively.
:::::
"1 pecan cheesecake and 4 apple cheesecakes for $44"
p + 4a = 44
"14 pecan cheesecakes and 14 apple cheesecakes for $238"
14p + 14a = 238
You have a system of two equations in two unknowns:
p + 4a = 44
14p + 14a = 238
:::::
Eliminate the p terms: Multiply the first equation by -14, then add the product to the second equation.
-14p - 56a = -616
14p + 14a = 238
------------------------
-42a = -378
a = (-378)/(-42) = 9
p = 44-4a = 8
One pecan costs $8. One apple costs $9.
Shrina has read 10% of the books that are in the library. She has now read 327 books.
How many books are there in the library?
Answers
Solve the following equations for the given variable.
3x + 2y = 6 for y
Answer:
Answers
Answer:
y=3
Step-by-step explanation:
you just need to do 2 divided by 6
Answer: y = -3/2x + 3
Step-by-step explanation:
3x + 2y = 6 First Isolate y by subtracting 3x from both sides
-3x -3x
2y = -3x + 6 Now divide both sides by 2
y = -3/2x + 3
HELP ME WITH ALL OF THESE ASAP i will give BRAINEST
Answers
Answer:
The first is true.
8 · 21 = 168
The second is false.
The third is false.
The fourth is true.
Step-by-step explanation:
Answer:
true
168 divided by 21 is 8
true
168 divided by 8 is 21
false
168 divided by 16 is 10.5
false
168 divided by [tex]\frac{1}{8}[/tex] is 21
Step-by-step explanation:
for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !
Madison has test scores of 93, 82, 86, and 75. What is the mean?
answer as fast a possible
Answers
Answer:
Mean is 84
Step-by-step explanation:
Is this relation a function (1,3)
(1, 20)
(9, 4)
Answers
Since x=1 produces y=3 and y=20, the relation (1,3),(1,20),(9,4) is not a function.
The relation is not a function.
Find the given probabilities. If the probabilities or given in decimal then your answer should be in decimals. If the probabilities are a fraction then your answer should be in fraction.
a. If \large P\left(A\right)=\frac{1}{6} and \large P\left(B\right)=\frac{4}{9}, and events A and B are disjoint events, so \large P\left(A or B\right)=
b. If P(A)= .67 and P(B)= .13 and events A and B are disjoint events, so P(A or B)=
Answers
Answer:
B
Step-by-step explanation:
Find the equation (in terms of x) of the line through the points ( − 1 , − 1 ) and( 4 , − 4 )
Answers
Answer:
[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-1,-1)[/tex]
[tex](x_2,y_2) = (4,-4)[/tex]
Required
Determine the line equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-1)}{4 - (-1)}[/tex]
[tex]m = \frac{-4 +1}{4 +1}[/tex]
[tex]m = \frac{-3}{5}[/tex]
[tex]m = -\frac{3}{5}[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-1) = -\frac{3}{5}(x - (-1))[/tex]
[tex]y + 1 = -\frac{3}{5}(x +1))[/tex]
Open bracket
[tex]y + 1 = -\frac{3}{5}x -\frac{3}{5}[/tex]
Make y the subject
[tex]y = -\frac{3}{5}x -\frac{3}{5}-1[/tex]
[tex]y = -\frac{3}{5}x +\frac{-3-5}{5}[/tex]
[tex]y = -\frac{3}{5}x +\frac{-8}{5}[/tex]
[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]
a doll maker puts a small bag of 5 hair ribbons inside each box with a doll how many bags of 5 hair ribbons can be made from 45 hair ribbons
Answers
Answer:
divide 45 by 5
you get 9
the answer is 9
Answer:
45 / 5 = 9
Step-by-step explanation:
this.is your answer it's quite simple if u need more help lmk
4/10x 6/4 x 2/3=
Product:
Reduced answer:
Answers
( ( 4 /10 x)(6) /4 x)(2) /3
Product: 2 /5 x^2
Simplified: You can't simply that.
(I hope this is correct, correct me if I'm wrong.)
Meaning of part of a whole
Answers
Answer:
Step-by-step explanation:
a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.
Please thank me!
The triangles are similar. Complete the similarity statement
Answers
Answer:
ABC
Step-by-step explanation:
Answer:
YZX ~ ABC
Step-by-step explanation:
For Angle Y, there is one curved line, so you must go to the other triangle and find which angle has one curved line too, in this case that is angle A. Then, Angle Z has three curved lines, and in the other triangle, Angle B has three curved lines, so you now have AB, which only leaves C left. So your final answer is ABC.
Which is a better estimate for the weight of a double-decker bus
Answers
Step-by-step explanation:
Coaches are typically sized to a height of 4.38 meters, whereas 'high-bridge' vehicles are usually around 20 centimeters higher. At an average height of 18.65 metres, integrated double-deckers are often permitted .
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
Which one is it??
Answers
Help help help help help pls