let the price of pizza and soda( per 2 litre bottle) be x and y
from 1st condition
12x+2y=137.6.....(1)
from 2nd condition
x+y =11.95.......(2)
multiply eq. (2) by 2
2x+2y=23.9.....(3)
subtracting (1) and (3)
12x+2y=137.6
2x+2y= 23.9
10x = 113.7
x=113.7/10
x=11.37
2(11.37)+2y=23.9
22.74+2y=23.9
2y=23.9-22.7
2y=1.2
y=0.6
So the prices of the pizza and soda are 11.37 and 0.6 dollars.
Each pizza costs approximately $10.99, and each 2-liter of soda costs approximately $0.96.
Let x be the cost of one pizza, and y be the cost of one 2-liter of soda.
According to the information given, we can write the following two equations:
1. For the pizza and soda purchased for the theater party:
12x + 6y = 137.64
2. For the pizza and soda purchased for Katya's family:
1x + 1y = 11.95
Now, we have a system of two equations with two variables. We can solve it to find the values of x and y.
First, let's solve the second equation for y:
y = 11.95 - x
Next, substitute this value of y into the first equation:
12x + 6(11.95 - x) = 137.64
Now, simplify and solve for x:
12x + 71.7 - 6x = 137.64
Combine like terms:
6x + 71.7 = 137.64
Subtract 71.7 from both sides:
6x = 65.94
Finally, divide by 6:
x = 65.94 / 6
x ≈ 10.99
Now that we have the value of x, which is the cost of one pizza, we can find the cost of one 2-liter of soda using the second equation:
y = 11.95 - x
y ≈ 11.95 - 10.99
y ≈ 0.96
So, each pizza costs approximately $10.99, and each 2-liter of soda costs approximately $0.96.
To know more about pizza:
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May someone please help me with this:)
Help I need the answer right quick. Which one????
Answer:
b i think but y are u looking forward to this
Joe has a few choices for
dinner: a hot dog, taco, or
BBQ, with fries or chips. How
many different combinations
are there to choose from?
The ratio of black beads to green beads is 10:3.
If there is 50 black beads, how many green beads
are there?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
cStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️❤❤❤❤❤☻☻☻☻☻
Mr. Klein bought 55 Star Wars figurines right after he
saw Star Wars for the first time in 1977. Now, in 2021,
he decides he will add an additional 11 figurines to his
collection each month. The function f(t) = 11t+55
represents the total number of figurines, f(t), Mr. Klein
has in his collection as a function of the number of
months, t.
What is the highest numbers of months that can pass
such that Mr. Klein still has less than 253 figurines in
his collection?
Answer:
542
Step-by-step explanation:
May the 4th be with you (When it's May 4th lol)
Which property is illustrated?
15 + (5 + 7) = (15 + 5) + 7
plz help i will make the first on to answer with a real answer the brainiest
Answer:
associative
Step-by-step explanation:
the numbers are switched but they will equal the same thing
Collect like terms
d+ d +d
Answer:
[tex]d + d + d \: \: is \: \: a \: \: like \: \: term[/tex]
Answer:
3d
Step-by-step explanation:
The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwater use to wash 10 loads of dishes?
Answer:
80 gallons
Step-by-step explanation:
32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.
Answer 80 gallons
Step-by-step explanation:
32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.
determinar el área de un hexágono que esta inscrito en una circunferencia de 4 unidades de radio
Answer:
espero y te sirva hay esta todo lo que necesitas
PLZ I NEED HELP MEE ASAP:)
Answer:
Probably have to go with B
Step-by-step explanation:
PRocess of elimination
Estimate the sum 7.36 + 9.47
Answer:
16.83
Step-by-step explanation:
7.36
+ 9.47
----------
16.83
Area of part of a circles
Answer:
56.55 or 18pi
Step-by-step explanation:
Pi time radius squared divided by two
A man sells 8 articles for Rs. 7360 and makes a profit of
15%. Find the gain or loss percent if he sells 13 such
articles for Rs. 11440.
(Ans: 10% gain)
Answer:
SP of 8 articles =Rs 7360
Profit=15%
Now,
SP of each article =7360/8= Rs920
Wkt,
SP=CP+profit (let CP=x)
920=x+15%of CP
920=x+15÷100× x
920=x+15x÷100
920=(100x+15x)÷100
920=115x÷100
92000=115x
92000÷115=x
Therefore, x=Rs 800
CP=800(i.e Cost price of one article)
Again,
SP of 13 articles=Rs 11440
SP of 1 article=11440÷13=Rs 880
Since,SP>CP
Profit!
Profit=SP-CP
=880-800
=Rs 80
Profit%=profit÷CP×100%
=80÷800×100
=10%
Put these numbers in order from least to greatest.
Answer:
Switch the second and third one on what you have now. U r good to go
Step-by-step explanation:
7/25=.28
8/32=.25
if The ratio of boys to girls in the class was 3 to 2 If there were 12 girls, how many boys were there?
Answer:
18 boys and 12 girls
Step-by-step explanation:
they multiplied the girls by 6 so u do the same for the boys and get 18
In circle R with m∠QRS=30 and QR=17 units, find the length of arc QS. Round to the nearest hundredth.
Answer:
Length of arc = 8.90 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 17 units
∠QRS = 30°
Find:
Length of arc
Computation:
Length of arc = [θ/360][2πr]
Length of arc = [30/360][2(22/7)(17)]
Length of arc = [1/12][2(3.14)(17)]
Length of arc = [0.0833][3.14(34)]
Length of arc = [0.0833][106.76]
Length of arc = 8.8963
Length of arc = 8.90 unit (Approx.)
I can’t tell if 3 is a dilation or not!
Answer:
No, its not
Step-by-step explanation:
The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.
I need answer rn, Which is the best estimate
help in need help and plz dont give me a website plz
Answer:
u = 7
Step-by-step explanation:
In a parallelogram, GI = GK so:
u + 28 = 5u
4u = 28
u = 7
Below is a diagram of a box shaped in house that contains a cylindrical air conditioning vental conditioning ventis feet long and 3.5 feet in diameter. If the soffit measures 3 by 4 tall by 13 feet longwhat is the volume of the soffit outside of the conditioning vent. Round your answer to the nearest
Answer:
The answer is 30.9 ft
Step-by-step explanation:
Answer: 30.9
Step-by-step explanation:
math nation told me.
what is the slope of -3 ?
Answer:
there is no slope
Step-by-step explanation:
hope that helped
Pls help, question on picture, will do brainliest if right
no links!!!!!
Answer:
[tex]tan(\theta) = \frac{3}{4}[/tex]
Step-by-step explanation:
Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.
[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]
In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.
[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How much money did they spend on equipment?
Answer:
711
Step-by-step explanation:
They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*79/100=9*79=711 dollars on equipment.
what is the circumference of a circle with a radius of 50 that’s not rounded
Answer:
100π
Step-by-step explanation:
The equation of the circumference of a circle is C=2πr.
So to get an answer that not rounded you would keep the π and multiply 50 by 2= 100
I need help one please
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Step-by-step explanation:
Factors are numbers multiplied together to make the final product.
1*72=72
2*36=72
3*24=72
4*18=72
6*12=72
8*9=72
Answer:
The factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and of course 72
Step-by-step explanation:
Factors are what the number can be divided by equally or what those numbers can be multiplied by to get 72.
Please let me know if this helps!
factorize : 16-(x-3)2
Answer:
( 1 + x) ( 7 - x)
Step-by-step explanation:
Here's what I did
16 - ( x - 3)^2....expand this
16 - (x² + 6x + 9).....after exanding
16 - 9 + 6x - x²......like terms together
7 + 6x - x² ......rearrange
-x² + 6x + 7......look for the product, sum and factors
( 1 + x) ( 7 - x)
A stick l feet long broken into two parts, one of which is twice as long as the other. How long is the shorter piece? Use algebra
Answer:
the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long
Step-by-step explanation:
It is given that
The stick is L feet long
And, the two pieces are x and y
Now according to the question
It is given that
one of which is twice as long as the other
so,
x = 2y
x + y = L
Put the value of x in the above equation
So,
2y + y = L
3y = L
Now divide by 3
y = L ÷ 3
Hence, the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long
Answer:
l/3
Step-by-step explanation:
its not one third the answeris the variable L divided by 3
If m
what would be the answer
find the value of x +65+115+115
Answer:
65
Step-by-step explanation:
65 because they alternate
AB=BA
65=115
115=65
idrk if tht makes sense tho lol