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
0.57,0.66,0.75,0.84 what are the next three numbers
Answers
Step-by-step explanation:
since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for
please answer this box for me i need a lot of help
Answers
Answer: 12
Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)
Answer:
The least common denominator would be 12.
Step-by-step explanation:
Because if you look at each row of multiples, 12 is the smallest number that they both have in common.
See for your self:⤵⤵⤵
1/6 ➡ 6 12 18 24 30
3/4 ➡ 4 8 12 16 20
Hope this helps :)
List three negative numbers that are between -8 and -1
Answers
Answer:
the answer is -5 -3 -7 but there are more
Answer:
-7,-6,-5,-4,-3,-2 they are alot but you can take what every number
Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m
Answers
Is there anymore words?
Answer:
I'm not answering but i can help you :)
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°.
The two angles of a linear pair, like ∠1 and ∠2 in the figure below, are always supplementary.
But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180°.
Example 1:
Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.
Let the measure of one of the supplementary angles be a .
Measure of the other angle is 2 times a.
So, measure of the other angle is 2a.
If the sum of the measures of two angles is 180°, then the angles are supplementary.
So, a+2a=180°
Simplify.
3a=180°
To isolate a, divide both sides of the equation by 3.
3a3=180°3 a=60°
The measure of the second angle is,
2a=2×60° =120°
So, the measures of the two supplementary angles are 60° and 120°.
Example 2:
Find m∠P and m∠Q if ∠P and ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.
The sum of the measures of two supplementary angles is 180°.
So, m∠P+m∠Q=180°
Substitute 2x+15 for m∠P and 5x−38 for m∠Q.
2x+15+5x−38=180°
Combine the like terms. We get:
7x−23=180°
Add 23 to both sides. We get:
7x=203°
Divide both sides by 7.
7x7=203°7
Simplify.
x=29°
To find m∠P, substitute 29 for x in 2x+15.
2(29)+15=58+15
Simplify.
58+15=73
So, m∠P=73°.
To find m∠Q, substitute 29 for x in 5x−38.
5(29)−38=145−38
Simplify.
145−38=107
So, m∠Q=107°.
Points S, Q, R, and T all lie on the same line; Given. Arrows are drawn from this statement to the following three statements. Statement 1: The measure of angle SQT equals 180 degrees; Reason 1: Definition of a Straight Angle. Statement 2: The measure of angle SQV plus the measure of angle VQT equals the measure of angle SQT; Reason 2: Angle Addition Postulate. Statement 3: The measure of angle SQV plus the measure of angle VQT equals 180 degrees; Reason 3: Substitution Property of Equality. Lines UV and WZ are parallel; Given. An arrow is drawn from this statement to the following statements. Statement 4: The measure of angle VQT plus the measure of angle ZRS equals 180 degrees; Reason A. Statement 5: The measure of angle SQV plus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS; Reason B. An arrow also points from Statement 3 to Statement 5. An arrow from Statement 5 points to the following statements. Statement 6: The measure of angle SQV plus the measure of angle VQT minus the measure of angle VQT equals the measure of angle VQT plus the measure of angle ZRS minus the measure of angle VQT, the measure of angle SQV equals the measure of angle ZRS; Reason C. Statement 7: The measure of angle SQV is congruent to the measure of angle ZRS; Definition of Congruency.
Which theorem accurately completes Reason A?
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem
Answers
9514 1404 393
Answer:
(d) Same-Side Interior Angles Theorem
Step-by-step explanation:
Of the offered choices, only one deals with supplementary angles:
Same-Side Interior Angles Theorem
_____
A diagram would be helpful. We have to assume here that WZ passes through R, and that Z is on the same side of ST as is V. If that is not the case, then the problem makes no sense.
Solve.
34(x−8)=−12
x=− 26/3
x = 10
x=22/3
Answers
I believe the answer would be... x= 130/17 for 34(x-8)=-12
I am really sorry, but I am not sure how to answer the rest
Hoped I helped with the first part of it!
Have a great day/night!
Answer:
The answer is 22/3
Step-by-step explanation: I got it right
Which is not a way to write the answer to this problem?
Answers
Answer:
D) .
Step-by-step explanation:
913 ÷ 29 ≈ 31
Which statement is true regarding the functions in the graph?
F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)
Answers
Dija writes 7x 9 = 63 to find the
number of players on 7 baseball teams. Describe what
each of the factors represents in the multiplication equation.
Answers
Answer:
7 represents the number of teams. 9 represents the amount of players on each team. And 63 represents the total number of players.
Step-by-step explanation:
Find the slope
Answers:
Question 1 options:
-3
3
-2
Answers
Answer:
b
Step-by-step explanation:
Write 10 10 10 10 10 with an exponent.
Answers
Answer:
10 5 ( Exponent )
Hope it helps
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
Answers
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?
Answers
Answer:
9x-10
Step-by-step explanation:
(4x+10) - (-5x+20)
Open the brackets
4x+10+5x-20
Collect like terms
4x+5x+10-20
9x-10
Answer number eight please
Answers
Answer:
Obtuse triangleStep-by-step explanation:
#8If the square of one side is greater than the sum of squares of other sides, the angle opposite to this side is greater than 90°.
It means the triangle has an obtuse angle, so the triangle is an obtuse triangle.
(X-5)(X+6)
Expand and simplify
Answers
Answer:
Step-by-step explanation:
(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)
=x * x + 6 *x + x*(-5) + 6*(-5)
= x² + 6x - 5x - 30 {Combine like terms}
= x² + x - 30
There are 27 beads in a box. Lea 4 blue boxes, 9 yellow boxes 4 red boxes 2 silver boxes.
Lea bought about beads
Answers
Answer:
104 blue boxes
243 yellow boxes
108 red boxes
54 silver boxes
Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s
Answers
Answer:
Women's magazines
Step-by-step explanation:
A manager that owns 3 local area car maintenance garages was researching certifications of mechanics that worked for her company. consider the following Venn Diagram.
1.How many mechanics work for her company
2.How many are certified to do work on brakes
3.How many are certified by ASE to do work on brakes **and** tune-ups?
Answers
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.
Answers
Answer:
the answer to your question is B $3.60
1
−5
can be simplified to what value?
Answers
Answer:
1/5 is already in it's simplest form, but you can also write it was 0.2
list the first six multiples of 6
Answers
Answer: 6, 12,24,30,36
Step-by-step explanation:
Hope this helps! :)
Solve the inequality:
1 ≤ a/4 - 1
Answers
Answer:
a is greater or equal to 4
Step-by-step explanation:
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answers
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
Which of these are prime numbers 5,6,9,13,18
Answers
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
sum the parts of the ratio, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
Please help ME for brainliest.
Answers
Answer:
Equation: -1.2y-4.2y=-3.78
Solved: y=0.7
Step-by-step explanation:
-1.2y-4.2y=-3.78
-5.4y=-3.78
y=0.7
I will take you up on your brainliest offer
Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?
Answers
Answer:
46 feet below sea level
Step-by-step explanation:
First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.
9. Allen and his two brothers decide to purchase a video game system together. They determine
that each person will need to pay $32.30. How much is the cost of the video game system?
I need a variable, equation, and the solution. Pls help!!!
Answers
Step-by-step explanation:
that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?
you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?
and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.
let's make it super formal :
price p = Allen contribution a + brother1 contribution b + brother2 contribution c
p = a + b + c
a = b = c = $32.30
p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90
HELPPP IM BEGGING U LOOK AT THE PIC BABES
Answers
Answer:
2nd option
Step-by-step explanation:
in the figure below red points are for ΔC"D"E"
we have to go in reverse order
to convert ΔC"D"E" to ΔC'D'E'
we have to scale the given triangle to a scale factor of 2
by multiplying vertices with 2
which gives blue points in the figure
next for 90° counter clockwise of ΔC'D'E' we get ΔCDE
for that we have to interchange x and y in the vertices
(2,2), (4,6), (-2,6) initial
(-2,2), (-6,4), (-6,-2) after
2nd option
7,200 divided by 10 to the power of 2
Answers
Answer:
51840
[tex] 51840[/tex]
Answer:
518400
Step-by-step explanation:
7200 ÷ 10 is just the zero less:
= 720
Then
720 × 720 =
+1440
+5040
=518400