Answer:
Large pie = 13
small pie = 7
Step-by-step explanation:
hope this helps!
Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: cost of each small piey: cost of each large pieCassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203
Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220
So, the system of equations to solve is:
[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable y from the first equation, you obtain:
14y= 203 - 3x
y= (203 - 3x) ÷14
y= 14.5 - [tex]\frac{3}{14}[/tex]x
Replacing this expression in the second equation and solving, you obtain:
11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220
11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220
11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220
11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5
[tex]\frac{121}{14}[/tex]x= 60.5
x= 60.5÷ [tex]\frac{121}{14}[/tex]
x= 7
Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:
y= 14.5 - [tex]\frac{3}{14}[/tex]x
y= 14.5 - [tex]\frac{3}{14}[/tex]×7
y= 14.5 - [tex]\frac{3}{2}[/tex]
y= 13
Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.
Learn more about system of equations:
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Help me out please!!!! (Operations of Functions) Giving alot of points for this if you answer these both two correctly.
Answer:
1) 20
2) 4
Step-by-step explanation:
1)
I) Substitute t with 2:
2² + 5(2) + 6
II) Simplify/Evaluate:
2² + 5(2) + 6
4 + 10 + 6
14 + 6
20
2)
I) Setup the equation:
g(t) = 5t - 2 = 18
5t - 2 = 18
II) Solve it:
Reorder the terms:
-2 + 5t = 18
Add 2 to each side of the equation:
-2 + 2 + 5t = 18 + 2
Simplify:
0 + 5t = 18 + 2
5t = 18 + 2
5t = 20
Divide each side by 5:
t = 4
Hope I helped :)
Helppppppppppppppppppp I’ll mark you brainlist
Answer:
1
Step-by-step explanation:
its subtracting 5 every step, 11, 6, 1, -4, -9
Answer:
1
Step-by-step explanation:
It does substract 5 every single time so it's
11 , 6 , 1 , -4 , -9 , -14 , -19 and so on.
what’s the answer (multiple choice) m
Answer: I think it’s A but I’m not really good with square roots.
Step-by-step explanation:
I WILL GET A ZERO IF I DONT GET THIS RIGHT A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK
Answer:
What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.
Step-by-step explanation:
In a fruit survey , 30 children choose their favourite
fruit out of apples, bananas and watermelon.10% choose
apples, 30% choose bananas. How many children choose
watermelon?
Answer:
60%
Step-by-step explanation:
Write using an exponent.
–5 • –5 • –5 • –5
A. (–4)5
B. 4–5
C. –54
D. (–5)4
Answer:
D
Step-by-step explanation:
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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what does the intersection of two lines represent
Answer:
the solution for the two functions
Step-by-step explanation:
the coordinate that satisfies both equations
Which equation would you use to solve the following situation?
The first 3 people arrive at a party. Several more people come, and now there are 14 people at the party. How many people arrived after the first three people?
x + 14 = 3
3 + 14 = x
x - 3 = 14
3 + x = 14
Ennifer's boss asked her to make a box plot of the number of people who go to White Plains throughout the week. Here are the numbers of people she counted each day: 150, 210, 200, 85, 450, 180, 250
Answer:
The answer is below
Step-by-step explanation:
We are asked to create a box plot. To create a box plot, we need to determine the minimum point, maximum point, lower quartile, upper quartile, interquartile range, median.
First we have to arrange the data in ascending order. This gives:
85, 150, 180, 200, 210, 250, 450
The minimum point = 85
The maximum = 450
[tex]Median=\frac{2}{4}(n+1)^{th}term=\frac{2}{4}(7+1)=4^{th}\ term=200\\\\Median=200 \\\\Lower\ quartile(Q_1)=\frac{1}{4}(n+1)^{th}term=\frac{1}{4}(7+1)=2^{nd}\ term=150\\\\Lower\ quartile(Q_1)=200 \\\\Upper\ quartile(Q_3)=\frac{3}{4}(n+1)^{th}term=\frac{3}{4}(7+1)=6^{th}\ term=250\\\\Upper\ quartile(Q_3)=250 \\\\Interquartile\ range=Q_3-Q_1=250-150=100[/tex]
PLEASE HELP
What is the gradient of this line?
Answer:
Gradient of the line is 1/2 or 0.5
Step-by-step explanation:
If we use the simple formula
UP divided by ACROSS
Then we can substitute our numbers in. I used the co-ordinates (0,2) and (2,3).
This makes 1/2, because it goes 2 across and 1 up from (0,2) to (2,3).
Answer: 2 (I am not sure if this is correct)
Step-by-step explanation:
Giving out 100 POINTS FOR THIS QUESTION!! Please don’t write nfoenwownw or something like that for the points!! I really need help! I WILL MARK BRAINLIEST!
What are the x-intercepts of the quadratic function shown?
A) (-1, -2)
B) (3,-4) and (-5,-4)
C) (1, 0) and (-3, 0)
D) (0, 1) and (0, -3)
Answer:
C) (1,0), and (-3,0)
Step-by-step explanation:
The parabola intercepts the x axis at points (1,0) and (-3,0).
your answer is
C) (1,0), and (-3,0)
have a good dayyy!
CAN YOU HELP ME PLEASE HURRY PLEASE HURRY :(
Length of x
A.6
B.10
C.6.2
D.8
help me answer question 8a and b, and I’ll give u 10 points lol
Answer:
Step-by-step explanation:
Find h when v = 20 and r = 3
Putting values in the formula
20 = (3.14)(3)2h
20 = (3.14)(9)h
20 = 28.26h
20/28.26 = h
R when v = 100 and h = 5
100 = (3.14)r2(5)
100/5 = 3.14r2
20 = 3.14r2
20/3.14 = r2
6.36 = r2
Square root on both sides
2.52 = r
Jenny cut her pizza into 8 equal slices and ate some of them. Billy cut his
pizza into less than 8 equal slices, but ate the same amount of pizza as
Jenny. Use the circles below to show or explain in words how many slices
Jenny and Billy could have eaten. (2 pts)
Answer:
Billy could have cut his pizza into 7,6,5,4,3,2, or 1 slices of pizza
Step-by-step explanation:
Billy ate less than 8 slices of pizza so billy could have sliced his pizza into any number that is less than 8
Solve the system
9x^2 + 4(y - 2)^2 = 36
x^2 = 2y
Answer: y = 2 and x = 2
Step-by-step explanation:
[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]
First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y
[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]
What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.
[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]
Now solve for x by plugging in y to the easier equation
[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]
If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2
[tex]x^2=2(2)\\x=2[/tex]
The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
9x² + 4 (y - 2)² = 36 .. (i)
x² = 2y .. (ii)
Substitute the value of x² from (ii) in (i);
9x² + 4 (y - 2)² = 36
9 × 2y + 4 (y - 2)² = 36
18y + 4 (y - 2)² = 36
9y + 2 (y - 2)² = 18
9y + 2 (y² + 4 - 2y) = 18
9y + 2y² + 8 - 4y = 18
2y² + 5y + 8 - 18 = 0
2y² + 5y - 10 = 0
y = - 5 ± √5² - 4×2×- 10 / 2×2
y = - 5 ± √ 25 + 80 / 2
y = - 5 ± √ 105 / 2
y = - 5 ± 10.24 / 2
y = - 5 + 10.24 / 2
y = 5.24/2
y = 2.62
y = - 5 - 10.24 / 2
y = - 15.24 / 2
y = - 7.62
From (ii);
x² = 2y
x² = 2 × 2.62
x² = 5.24
x = 2.28
x² = 2y
x² = 2 × - 7.62
x² = - 15.24
x = 3.9i
Thus, The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
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Help a sista oooouuuttt!!!
Volunteers recently planted a new tree in the town square, and its leaves are doubling in number each month. This
will last for only 3 more months, until the end of summer. If the tree began with 246 leaves, how many leaves will it
have before autumn?
Answer:
1968
Step-by-step explanation:
246×2=492(First month)
492×2=984(Second month)
984×2=1968(Third month)
find the slope of the line that passing through the points (5,-2) and (5,8)
Answer:
undefined
Step-by-step explanation:
Decide whether n = 9 is a solution to
the equation 2+n=7. Write yes or no
Answer:
No. The answer would be n=5
Step-by-step explanation:
You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2
What is the perimeter 2x+3 as length and x-6 as width
What is the perimeter 2x+3 as length and x-6 as width
P = 2L + 2W
P = 2(2x+3)+2(x-6)
P = 4x+6 + 2x - 12
P = 6x - 6
#CarryOnLearning#LearningIsFunAnswer:
[tex]perimeter = 2(l + b) \\ = 2(2x + 3 + x - 6) \\ = 4x + 6 + 2x - 12 \\ = 6x - 6[/tex]
Please help will give brainliest
Answer:
C, D, F
Step-by-step explanation:
I hope it helps, sorry if any wrong.
24x-45y=34x
(rp)
have a great day
THANKS FOR GIVING ME THX
AND HI NICE TO MEET U
I AM GIRL THIS IS MY BROTHER PHONE
Devon waxes 1/2 of his car with 1/3 bottle of car wax. At this rate, what fraction of the bottle will Devon use to wax his entire car?
Answer:
2/3 bottle of car wax
Step-by-step explanation:
If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.
Hope this helps!
5 2/3 + 7 5/9 ples I nnmed help
Answer:
Step-by-step explanation:
Solution
=5 2/3 + 7 5/9
=3×5+2/3+9×7+5/9
=17/3+68/9
=119/9
=13.22
Hope it helped you.
Is the circumference of a circle that the diameter is 9.4 cm
Answer:
To find the radius we must multiply by two to get 18.8
Then we multiply 18.8 for PIEEEEEE
3.14x18.8= 59.03
Step-by-step explanation:
I hope this helps!!!!! Please mark me brainliest.
Janet has a bag of marbles. The bag contains 10 blue, 5 green, and 1 orange marble. She will randomly select 1 marble from the bag. What is the probability that Janet will elect a green marble?
Answer:
5/16
Step-by-step explanation:
Answer:
The probability that Janet will elect a green marble is that if she shake them up and down. When she puts her hand in she has the move her hand around giving her the chance that she might pick a green marble.
2/12 + 5/8 help me please
Answer:
19/24
Step-by-step explanation:
X/5 = -3 x=____ help
-2y+6=-12
What does y equal?
Answer:
y = 9
Step-by-step explanation:
-2y+6=-12
subtract 6 on both sides: -2y=-18
divide both sides by -2: y=9
Answer:
[tex]y = 9[/tex]
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex] - 2y = - 12 - 6[/tex]
2) Simplify -12-6 to -18.
[tex] - 2y = - 18[/tex]
3) Divide both sides by -2.
[tex]y = \frac{ - 18}{ - 2} [/tex]
4) Two negative makes a positive.
[tex]y = \frac{18}{2} [/tex]
5) Simplify 18/2 to 9.
[tex]y = 9[/tex]
So, Yherefor, the answer is, y = 9.