Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Answers
Answer:
x=10 and y= 8.
Step-by-step explanation:
Given that the cost of 1 banana = $0.60
Cost of 1 mango = $1.50.
Total cost= $ 18
Here, x be the number of bananas and y be the numbers of mangos,
As the number of bananas is 2 more than the number of mangos,
So, x=y+2
[tex]\Rightarrow y=x-2 \cdots(i)[/tex]
Cost of x bananas [tex]=\$ 0.60 \times x[/tex]
Cost of y mangos [tex]=\$ 1.50 \times y[/tex]
Total cost = 0.6x+1.5y
[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]
Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.
Both the graphs intersect at the point (10,8) as shown in the graph.
So, the solution of both the equations is, (x,y)=(10,8). i.e
The number of bananas = x= 10 and
the number of mangos = y = 8.
Related Questions
point slope line equation of the line through (8,-8) and (9,8)
Answers
Answer:
y+8=16(x-8)
Step-by-step explanation:
y-y1=m(x-x1) is the formula
Just substitute from the first pair then you should get the answer.
PLEASE HELP ASAP!!!
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.
basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(
Answers
Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
5000 = 20b + 2300Then subtract 2300 from both sides of the equation, so
5000 (-2300) = 20b + 2300 (-2300)2700 = 20bFinally divide both sides of the equation by 20, so
2700/20 = 20b/20135 = bTo check your answer substitute 135 in as b...
c(x) = 20(135) + 2300c(x) = 5000True or False: A check is a document that directs the bank to deduct money from your account and make a payment
Answers
Answer:true
Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.
someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss
Answers
Answer:
i will try to help you....
Answer:
65 i believe
Step-by-step explanation:
130/2
= 65
and
65 x 65 = 130
Please help I need help fast
Answers
Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
Solve please
18 + 8x<34
Answers
Answer:
x=2
Step-by-step explanation:
5-10m
WHATS THIS ANSWER?.
.
.
..
.
.
Answers
Answer:
-5 is the answer
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answers
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answers
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?
Answers
Answer:
1 cup of flower makes 1/2 a batch of cookies
Step-by-step explanation:
2 divided by 2 is 1
1 divided by 2 is 1/2
Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.
Answers
Answer: Perpendicular
Step-by-step explanation: Took the quiz :)
5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions
Answers
Step-by-step explanation:
Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)
4x+7=6x-154x+7=6x−15
7=6x-15-4x7=6x−15−4x
7=2x-157=2x−15
7+15=2x7+15=2x
22=2x22=2x
22=2x / 222=2x/2
x=11x=11
Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Answers
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
If f(x) = 4x - 8, what is the value of f(-3)?
Answers
Answer:
-20
Step-by-step explanation:
f(x)= 4x-8 f(-3)
y= 4(-3) -8
y= -12 -8
y= -20
Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.
Answers
Answer:
( - 1, 3 )
Step-by-step explanation:
( 1 - 2 , 1 + 2 ) = ( - 1, 3)
(1, 1) -----> ( - 1, 3 )
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answers
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
What is 70% of 900
Pls answer quickly
Answers
Answer:
630Step-by-step explanation:
10% of 900 is 90 (900÷10)
20% of 900 is 180 (90×2) - basically the 10% times 2
50% of 900 is 450 (900÷2)
450+180=630 - the sum of the 20% and 50%
I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.
Answers
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!
What is 2x+8x=6? Please answer accurately???
Answers
Answer:
x = 3/5
Step-by-step explanation:
2x + 8x = 6
10x = 6
x = 3/5
10x=6
6/10=0.6 or 3/5
3/5 or .6
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answers
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
bund to the nearest tenth
2. 84 is 60% of what number?
What is that answer
Answers
Answer:
140
Step-by-step explanation:
84/140 = 60/100
f(x)5x + 4
Find f(6)
Answers
[tex]\sf{Hello!}[/tex]
[tex]f(x) = 5x + 4[/tex]
[tex]f(6) = ---- [/tex]
[tex]f(6) = 5(6) + 4[/tex]
[tex]f(6) = 30 + 4[/tex]
[tex]f(6) = 34[/tex]
Have a nice day!
Ans: 28
help no good at maths
Answers
***3/2x + 1/2x + x = 180 degrees***
For the other way you can switch around the positions of the angles in the equation as long as the = stays 180 so like
X + 3/2x + 1/2x = 180
180 + x + 1/2x + 3/2x
Or maybe change the 3/2x to 1 1/2x
If solving a system of linear equations by elimination or substitution I get that 2=3, it means (check all that apply)
If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
If the system of equations is 3 linear equations in 3 variables, there is infinity number of solutions
If the system of equations is 2 linear equations in 2 variables, the system has no solutions
If the system of equations is 3 linear equations in 3 variables, the system has no solutions
Answers
Answer:
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutionsStep-by-step explanation:
The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.
The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.
When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.
constant = constant
So,
If I get 2=3 in solving the system, it means the following:
If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutions-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)
(70 points.)
Answers
Answer:
-12164.91462:)
Step-by-step explanation:
Solution of the three expressions;
1). -12.48-(-2.99)-5.62 = -15.11
2). -353.92-(-283.56)-131.29 = -201.65
3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)
What is PEMDAS?When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.
1). -12.48-(-2.99)-5.62
= -12.48 + 2.99 - 5.62 (double negative becomes positive)
= -15.11
Therefore, -12.48-(-2.99)-5.62 equals -15.11.
2). -353.92-(-283.56)-131.29
= -353.92 + 283.56 - 131.29 (double negative becomes positive)
= -70.36 - 131.29
= -201.65
Therefore, -353.92-(-283.56)-131.29 equals -201.65.
3). 831 / 106 (92)
This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:
= 831 / (106 x 92)
= 831 / 9736
= 0.0852 (rounded to four decimal places)
Therefore, 831 / 106 (92) equals 0.0852.
To learn more about the PEMDAS;
https://brainly.com/question/36185
#SPJ7
The complete question:
Find the solution to the expressions given below;
1). -12.48-(-2.99)-5.62
2). -353.92-(-283.56)-131.29
3). 831 / 106 (92)
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answers
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?
Answers
Answer:
(1.5×5) + (2.5×4)
Step-by-step explanation:
if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D
19 - (- 41)
plzzzzzz help fast!
Answers
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60
Answer:
60
Step-by-step explanation:
19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition
19 + (+41)
19+40= 60
Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0
Due today please help
Answers
Answer:
There isn't a picture
Step-by-step explanation:
which is the line of best fit and why?
Answers
Responder:
Opción de respuesta c
Explicación paso a paso:
Es una pendiente positiva como los datos, también coincide con muchos de los puntos.
Espero que te aya ayudado
Answer:
Answer choice c
Step-by-step explanation:
It is a positive slope like the data, it also matches up with many of the points.