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Robert and his children went into a bakery where they sell cupcakes for $4.75 each and cookies for $1.25 each. Robert has $50 to spend and must buy no less than 14 cupcakes and cookies altogether. If x represents the number of cupcakes purchased and y represents the number of cookies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
Robert could buy 4 cupcakes and 20 cookies.
Step-by-step explanation:
Robert can buy 4 cupcakes and 20 cookies.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Price for cupcakes= 4.72
Price for cookies= 1.25
Robert has $50 to spend and must buy no less than 14 cupcakes and cookies altogether.
let x represents the number of cupcakes purchased and y represents the number of cookies purchased.
So, x + y ≥ 14
and, 4.75x + 1.25y ≤50
If we locate these inequalities on graph we get the intersection point (4, 20)
Hence, Robert can buy 4 cupcakes and 20 cookies.
Learn more about Inequality here:
https://brainly.com/question/28823603
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Related Questions
OER type of question.
The system of linear equations is below.
2x – 3y = 15
-2x + y = -1
It has on it that the two ways it can be solved are 'Substitution or Elimination'.
The Academic Language we are supposed to use is below.
Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.
Don't know if anyone can help me with this but I am really bad at OERs and I am hoping that someone can help with this so I can somewhat pass my class.
Answers
Answer:
x=-3, y=-19
Step-by-step explanation:
we can solve by substitution.
y = 2x-1 we can derive from the second equation.
plugging it into the first equation, 2x -3(2x-1) = 15.
simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.
now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1
simplify, 18+y = -1 --> y = -19.
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount, to the nearest pound, she can invest?
Answers
Let ,Cynthia invested $x
Rate = 5%per year
time = 3 year
Amount
A= P(1+r/100)^t
8000=x(1+5/100)^3
8000=x(21/20)^3
x= (8000x8000)/9261
x=6910.7$
Therefore she can invest =$6910.7 =5322.14 pound
find the slope of the line containing the points (4,-3) and (-1, 7)
Answers
Answer:
-2
Step-by-step explanation:
7 + 3 / -1 - 4
10/-5 = -2
slope is -2
Please help it'd mean so much!
Answers
Answer:
B.
Step-by-step explanation:
2 3/6 + 9 1/3 reduced to the lowest terms
Answers
Answer:
nah, thank u for the points tho
Step-by-step explanation:
Please help for the whole section i really need this answer am failing my math class
Answers
Answer:
4/2 for number one
Step-by-step explanation:
so what u are doing is taking the two dots and matching them itz_joy2006 hit me up on insta or snap jgichane3
Algebra 1 , PLEASE PLEASE help . and if you know how to do algebra i'll have more question you can answer .. if you want :, )
Answers
Answer:
It's A, Because it makes the most sense in this algebra question.
Step-by-step explanation:
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
What is the quotient of 3/4 5/6
Answers
Which is the correct graph for: y= - 4x+3
Answers
Answer:
C is the answer
Step-by-step explanation:
slope = -4 and y intercept =3
which situation can be simylated using the spinner select three options
Answers
Answer:
is it possible to show a picture
Step-by-step explanation:
6. A ball is thrown at an upward velocity of 72 feet per second from a platform that is raised 10 feet
off the ground. Use the equation y = -12 + vt + h where y is the ending height of the ball, t is the
time in seconds, v is the ball's velocity, and h is the intial height, in feet, of the ball.
How long will it take the ball to reach its maximum height, and what is that maximum height?
(Disregard any extra height added by the person throwing the ball.)
Answers
Answer:
Question 675528: A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by s(t)=-16t^2+48t+8 where s(t) is measured in feet above the ground and t is the number of seconds of flight.
Step-by-step explanation:
there are 15 fruits in a bow 6 of them are apples. What percentage of the pieces of in the bowl are apples?
Answers
Steps:
Turn this into a fraction
= 6/15
Next, divide the numerator by the denominator
= 0.4
Then, move the decimal place 2 digits to the right
= 40
So, 40% of the fruits are apples.
Answer: 40%
Step-by-step explanation: 6/15= 0.40
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?
This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!
Answers
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
What are the solutions to the quadratic equation 4(x + 2)2 = 36
x= -11 and x = 7
x = -7 and x = 11
OOOO
x= -5 and x = 1
x= -1 and x = 5
Answers
Answer:
x = -5 and x = 1
Step-by-step explanation:
4( x2 + 4x + 4 ) = 36
4x2 + 16x + 16 = 36
4x2 + 16x - 20 = 0
x2 + 4x - 5 = 0
Answer:
C. x = -5, and x = 1
Step-by-step explanation:
You have the equation 4(x + 2)2 = 36
You then isolate 4 out of the equation using division on both sides
You are left with (x+2)2 = 9
Next, take square roots
[tex]\sqrt({x} +2) ^{2}[/tex] = [tex]\sqrt{9}[/tex]
This leaves you with x + 2 ± 9
So, x = -2 + 3 = 1
or
x = -2 - 3 = -5
solve for x
11x+ 3 = X-7
Answers
Answer
x= x/11 - 10/11
Step-by-step explanation:
x over 10 take away 10 over 11
What is the measurement of <8
Answers
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answers
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
What's the equation of the line that passes through the points (–1,5) and (1,–1)?
Answers
Answer:
y = -3x + 2
extra characters down here
Triangle ABC, shown in the diagram below, is an isosceles triangle.
Answers
Answer:
42.5
Step-by-step explanation:
those two dashes or lines on the sides of the tringle or between A and B or A and C mean that those line are the same length so I would guess your answer is the same as the other givin length which is 42.5
3w + 6 - 4w + 3b + 2 +2b=
Answers
The answer is 5b - w + 8
Step-by-step explanation:
Answer:
-w + 5b + 8
Step-by-step explanation:
Step 1: Since you're only dealing with addition and subtraction, the easiest method is to convert all subtraction to addition by adding the opposite. There is only one case of subtraction (-4w) which can be changed to adding negative 4w:
3w + 6 + (-4w) + 3b + 2 + 2b
Step 2: Combine like terms to simplify:
3w + (-4w) = -w
3b + 2b = 5b
6 + 2 = 8
Answer:
-w + 5b + 8
What would y be? please show me how do to it also so I can understand.
Answers
Answer:
the answer will be 3+2+2=7 is the answer
Y = 7
EXPLANATION
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?
Answers
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
Answers
Answer:
(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)
2-5/6-(-3)
-3/9
-1/3 is the slope
y - y1 = m(x -x1) (this is point slope form)
y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)
y -5 = -1/3x -1 (you get to slope intercept form by solving from point slope)
y = -1/3x +4 (this is slope intercept form)
Step-by-step explanation:
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Answers
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
f ( x ) = 5 ( 2 − x ) , what is the value of f ( − 8 )
Answers
Answer:
50
Step-by-step explanation:
solved
PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE
Answers
Answer:
B) y<3/2x+2
Step-by-step explanation:
cause y is less than the slope of 3/2 threw the point of 2 on the y axis
also < and > meansd its a dotted line
Which of the following graphs represents the slope of -1 - 3
Answers
Answer:
theres nothing there though
Step-by-step explanation:
what is 3 times blank times blank equals 12
Answers
Answer:
3 times 2 times 2
3 times 4 times 1
Step-by-step explanation:
those are the ones off the top of my head hope that helps
What is part A and B??
Answers
2. 3 batches of brownies and 3 batches of cookies
3. 7 batches of cookies and 1 batch of brownies
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
Answers
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .