Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.
Answer and step-by-step explanation pls!!
Answers
Answer:
$0.8
Step-by-step explanation:
let x represent the price of apples
let y represent the price of oranges
6x+3y=3.36—eqn 1
2x+5y=3.04—eqn 2
Multiply eqn 2 by 3
3(2x+5y=3.04)=6x+15y=9.12
Subtract eqn 2 from 1
6x+3y=3.36
-{6x+15y=9.12}
-12y=-5.76
y=0.48
plug y=0.48 into eqn 1
6x+3(0.48)=3.36
6x=3.36-1.44
x=1.92/6=0.32
That is, an apple costs $0.32 and an orange costs $0.48
Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8
Answer:
apple: $0.32orange: $0.48Step-by-step explanation:
Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...
6x +3y = 3.36
2x +5y = 3.04
We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...
2x +y = 1.12
Subtracting this from the second equation gives ...
(2x +5y) -(2x +y) = (3.04) -(1.12)
4y = 1.92 . . . . . . . simplify
y = 0.48 . . . . . . . divide by 4
Then the cost of an apple can be found from our reduced equation:
2x +0.48 = 1.12 . . . substitute for y
2x = 0.64 . . . . . . . . subtract 0.48
x = 0.32 . . . . . . . . . divide by 2
The cost of one apple is $0.32; the cost of one orange is $0.48.
_____
Additional comment
The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.
Related Questions
Which expression is equivalent to -2( x-7 )?
Answers
Answer: -2x+14
Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14
Answer: -2x+14
and have a bless day
Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).
Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:
Answers
Answer:
[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.
[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]
At this point we have everything, let's replace and write down the line in a better looking form
[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]
PLEASE PLEASE HELP THANK YOU SO MUCH
Answers
Answer: x => 12.8 cm
13 and 13.5
Step-by-step explanation:
The area is equal to or greater than 154 cm^2:
A [tex]\geq[/tex] 154 cm^2
Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm. Let x be the length of the rectangle, so that:
(12)*x = Area
Area => 154 cm^2
(12)*x => 154 cm^2
x => (154/12cm) cm^2
x => 12.8 cm
13 and 13.5 will both meet the criteria.
100 POINTS PLEASE
PLEASE BRAINLIEST
Answers
Here
NB||NAShow sum of interior angles is 180°
[tex]\\ \sf\longmapsto <NBA+<NAB=180[/tex]
[tex]\\ \sf\longmapsto <NAB+103=180[/tex]
[tex]\\ \sf\longmapsto <NAB=180-103[/tex]
[tex]\\ \sf\longmapsto <NAB=77°[/tex]
Vertical angles are supplementary
We need m<NAB
180-m<NBA180-10377°Fill the gaps in the
a Die
x = -7
5x - 7 ?
Answers
Answer: -42
Step-by-step explanation:
If X = -7
Then:
= 5(-7) - 7
= -35 - 7
= -42
Hope it helps:)
what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3
Answers
.
Substitute: 3 · (53–6.5)+4. 32
Calculate the power: 3x(125–6x5)+4x9
Calculate the product or quotient: 3x(125
-30)+4x9
Calculate the product or quotient: 3x(125
-30)+36
Calculate the sum or difference: 3x95+36
Calculate the product or quotient: 285+36
Calculate the sum or difference: 321
Answer: 321
Answer:
321
Good Luck!!
Find the pair of integers that has a product of –12 and a sum of 1.
Answers
Answer:
X = -4, Y = 3
Step-by-step explanation:
x * y = -12
x + y = 1
X = 4, Y = -3
NO TIME TO EXPLAIN
let's find out the principle in the following cases also calculate the amount.
a) I = RS 336, T = 2 years, R = 10•5% per year
please give me answer
I need it fast as possible
Answers
Step-by-step explanation:
I = 336
T = 2
R = 10.5 = 10½ = 21/2
I = PRT/100
336 = (2 x 21 x P)/(100 x 2)
336 = 21P/100
21P = 33600
P= 33600/21
P=1600
Amount = 1600 + 336 = 1936
You are finding the total distance of a road trip by measuring the distance on a map. On the map the distance between 3 towns measure 2 7/16 inch, 1 5/8 inch, and 3 3/4 inch, repectively. What is the total distance of the trip on the map?
Answers
Answer:
The answer would be 7 and 13/16
Step-by-step explanation:
Hope this helps.
divide: 994.14 ÷ 18.9
Answers
Answer:
52.6?
Step-by-step explanation:
Step-by-step explanation:
[tex] \\ 994.14 \div 18.9[/tex]
[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]
[tex] \\ = \frac{263}{5} [/tex]
[tex] \\ = 52.6[/tex]
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answers
Answer:
B,D,E
Step-by-step explanation:
Answer:
B- The line containing points A and B lies entirely in plane
C-Line z intersects plane S at point C.
E-Planes R and T intersect at line y.
Step-by-step explanation:
Ed2022
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
a. $13.60
step by step explanation:
all you have to do is divide:
so 68/5 is 13.6
hope this helps
Answer:
Each friend will pay 13.60 dollars.
Step-by-step explanation:
68/5 is 13.6
If S = 1/2, what number does 4s equal?
Answers
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
Answers
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater?
Answers
Answer:
Profit = $21
Step-by-step explanation:
14 sweaters = $154
Cost of 1 Sweater = 154 ÷ 14
= $11
New Cost for 14 Sweaters = $448
New Cost of 1 Sweater = 448 ÷ 14
= $32
Profit Per Sweater = 32 - 11
= $21
Full Profit = 448 - 154
= $294
Answer:
21
Step-by-step explanation:
21
What is f(-1)?
PLEASE HELP ASAP
Answers
Answer:
3
Step-by-step explanation:
so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answers
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
If you type 75 words in 3 minutes at what rate do you type?
Answers
Equation: y=25x.
Hope this helps!!
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answers
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?
Answers
En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:
[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)
Donde:
[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:
[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]
[tex]T(1\,h) = -1\,^{\circ}C[/tex]
El congelador tenía una temperatura de -1 °C a la primera hora.
Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542
Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?
Please choose one of these choices.:
A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.
Answers
Answer:
A.
Step-by-step explanation:
If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it
how to determine if two functions are inverses of each other
Answers
Answer:
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
Step-by-step explanation:
Suppose you have two functions f(x) and g(x). If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other. Similarly with f(x) as argument of g(x).
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
0.9 is the result of finding the product of 2 and 34 minus a number.
Answers
Answer:
The answer is 3/10
Step-by-step explanation:
I took the test using K-12
Sorry if it is late.
Evaluate the expression:
2/3-1/4+(-5/6)
Answers
Answer:
[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]
[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]
[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]
[tex] \\ = \frac{8 - 13}{12} [/tex]
[tex] \\ = \frac{ - 5}{12} [/tex]
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
Answers
Multiply the original dimensions by the scale:
8 x 3.5 = 28
6 x 3.5 = 21
New dimensions: length = 28, width = 21
help me pleaseeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
a) 6305/65= 97
b) 94+94= 188
306-188= 118
Answer:
a. 87 b. 59
Step-by-step explanation:
typing bc I need to have 20 letters
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A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I
Answers
Answer:
There are 14 teachers per student
Step-by-step explanation:
students per teacher =
students / teachers
students: 84
teachers 6
84 / 6 = 14
8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!
Answers
Answer:
1/2
Step-by-step explanation:
in the below figure point A is (8,-4)
and shifted A is (4, -2)
it is half of original
for B (4,4) ---> (2,2)
for C (-4,4) ----> (-2,2)
so scale factor is 1/2
is (3,2) , (4,6) , (5,8) a function
Answers
Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use
Answers
Answer:
40
Step-by-step explanation: