Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
lemme eat u ;)
not like that weirdo
love uuuu
Answer:
i- um chile anywaysssss
i saw a ghost help me with this problem
Answer:
23.9
Step-by-step explanation:
A $310 suit is marked down by 30%. Find the sale price
Answer:
156
Step-by-step explanation:
is "among us" better on pc or iphone? also how much does it cost?
Answer: anything honestly
Step-by-step explanation:I don't think it costs anything you only have to pay if you want specific accessories
Answer:
It is better on an iPhone and the game is free. Also, it is really personal preference!
Step-by-step explanation:
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
[tex]6y + 13y - 10 = 180[/tex]
[tex] 19y - 10 = 180[/tex]
[tex]19y = 180 + 10[/tex]
[tex]19y = 190[/tex]
[tex]y = \frac{190}{19} [/tex]
[tex]y = 10[/tex]
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
[tex]60 + 9x + 12 = 180[/tex]
[tex]9x + 72 = 180[/tex]
[tex]9x = 180 - 72[/tex]
[tex]9x = 108[/tex]
[tex]x = \frac{108}{9} [/tex]
[tex]x = 12[/tex]
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
What is times plus 4
Answer:
you forgot the number before times
Step-by-step explanation:
18/x -2 = 4/3 please help
Answer:
Step-by-step explanations:
9. A company is looking to hire a painter, One painter states that their fee can be determined by
using the expression 50x + 100 where x is the number of hours it takes to paint. A second painter
states that their fees can be determined by using the expression 40X + 125. The company wants
to know when the fee would be the same for each painter, What number of hours makes the
equation 50% + 100 = 40% + 150 true?
(10 Points)
The
Given f(x) = -5(2x-7 )- 19, what is the
value of f(-2)?
Answer:
X=1.8
Step-by-step explanation:
f(X)=-2
-5(2x-7)-19=-2
-10x+35-19+2=0
-10x=-18
X=-18÷(-10)
X=1.8
Are the triangles PQR and RST similar why or why not?
Answer: The triangles are similar
======================================================
Explanation:
The square markers show that
angle RPQ = angle RST = 90 degrees
So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.
Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.
Answer:
Triangle PQR and RST are both right triangles but they do not share the same side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.
Step-by-step explanation:
Mary biked 4 1/5 miles today, and Mike biked 3 2/3 How many times the
length of Mike's bike ride was Mary's bike ride?
Answer:
Step-by-step explanation:
4
Write an algebraic expression for the word phrase.
10 times the product of g and h.
a. 10 (g+h)
b. 10 (g-h)
c. 10 (g/h)
d. 10gh
The answer is D) 10gh
Answer: I think the correct answer would be d
Step-by-step explanation:
Six more than the product of a number and -2 is 4.
which of the following explains why soft drinks are such an unhealthy choice?
A. one soft drink contains about 25% of daily caloric intake
B. one soft drink contains nearly an entire daily allowance for sugar
C. the carbonation contains unnatural additives that contribute to obesity
D. the carbonation is a preservatives that also adds sugar
Answer:
A or B
Step-by-step explanation:
Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
To know more about equations follow
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Anyone mind giving me a helping hand hope you have a good day!!!
Answer:
The last option
Step-by-step explanation:
The last option
Answer:
C
Step-by-step explanation:
Figure 1 was
with a scale factor of
with the center at the origin
It was then
6 units
and 5 units
to produce
Figure 2.
Figures 1 and 2 are
because Figure 1 was
Huh? what do you mean
Perform the indicated operation.
-3(-8)(-2)
Answer:
-48
Step-by-step explanation:
Multiply all numbers to get -48
1. The sum of 5 and x is 20. What is x?
If the sum of 5 and x is 20, then the value of x will be 15.
It is given that the sum of 5 and x is 20.
Mathematically, it can be written as:
5 + x = 20
We have to find the value of x.
In order to find the value of x we need to separate the variable and constant.
For this, subtract 5 from both the sides:
5+x-5 = 20-5
5-5 +x = 20-5
Then, solve the operation of subtraction on both the sides of above equation.
0+x = 15 -------(A)
Since, when we add 0 to any quantity, the result will be this quantity itself.
So, 0+x = x -------(B)
From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.
Equation right sides of (A) and (B). We have:
x = 15
Hence, the value of x is 15.
Learn more about sum of variable and constants here:
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what is 11,500,000 written in scientific notation?
Answer:
1.15x10 to the power of 7
Answer:
1.15×10⁷
Step-by-step explanation:
that's the answer
PLEASE HELP ASAP!!!!!
Answer:
C. Have a good day. :)
Step-by-step explanation:
solve 3x+k = c solve for x
Answer:
(c-k)÷3=x
Step-by-step explanation:
subtract the k first on both sides, cancelling the one on the left but adding a -k on the right.
than divide both sides by 3, cancelling the 3 and adding a ÷3 outside the parantheses
please help asap, the question is in photo
Answer:
its 1
Step-by-step explanation:
i is always going to =1 no matter what is with it
unless you are taking the square root from it
I hope this helps you! :)
Answer: The answer is -i
Step-by-step explanation:
They are equal hope this helps
Find the perimeter and area of the figure
What are the coordinates of (7,-5) and ( 3,3)
Answer:
Hope this help..
Step-by-step explanation:
Hope this helpp..
commom multiple of 3 and 7
Answer:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
Step-by-step explanation:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
Lea's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 12 adult tickets and 7 child tickets for a total of $236. The school took in $217 on the second day by selling 7 adult tickets and 14 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
Step-by-step explanation:
let the number of children be x
and the number of adults be y
so
7x+12y=236-----1
and
14x+7y=217------2
equating both 1 and 2 we have
7x+12y=236-----1
14x+7y=217------2
multiply 1 by 2
subtract 2 from 1 we have
14x+24y=472-----3
- 14x+7y=217------2
0x+17y=255
17y=255
y=255/17
y=15
put y=15 in eqn 1 we have
7x+12y=236-----1
7x+12*15=236-----1
7x+180=236-----1
7x=236-180
7x=236-180
x=56/7
x=8
therefore a child will cost $8 and adult will cost $15
−31−8+31 helppppp plweasee
Answer:
-8
Step-by-step explanation:
-31 and +31 cancel each other out leaving you with -8
Choose the expression that is equal to 28.3.
33 + 27.2 – 6.8 + 24 – 3.1
33 + 27.2 – (6.8 + 24 – 3.1)
[33 + (27.2 – 6.8)] + 24 – 3.1
33 + 27.2 – (6.8 + 24) – 3.1
(3n - 7)(6)
Simplify expression
Answer:
18n-42 should make it as simple as it can be.