Answer:
Apple Pie cost $8
Lemon Meringue Pie = $15
Step-by-step explanation:
Creating some variables:
A = apple pie
L = lemon meringue pie
We have two equations:
11A + 1L = 103
11A + 12L=268
You can use elimination or the substitution method to solve. I will be using substitution method.
Solve the first equation for L:
11A + 1L = 103
subtract 11A to both sides
L = 103 - 11A
Plug this into the second equation
[tex]11A + 12(103-11A) =268[/tex]
distribute the 12
[tex]11A + 1236 - 132A = 268[/tex]
combine the A and subtract the 1236
[tex]-121A = -968[/tex]
Divide -968 by -121
A = 8
Next plug this 8 back into one of the two original equations above:
[tex]11(8) + 1L =103[/tex]
[tex]88+L=103[/tex]
subtract 103 by 88
L = 15
Answer:
[tex]A=8[/tex], [tex]L=15[/tex]
Step-by-step explanation:
For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]
Based on the information given it is clear that:
[tex]11A+1L=103[/tex]
[tex]11A+12L= 268[/tex]
We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]
[tex]11A+1L=103[/tex]
subtract [tex]1L[/tex] form both sides
[tex]11A=103-L[/tex]
Now let's input this into the second equation to solve for [tex]L[/tex]
[tex](103-L)+12L=268[/tex]
combine like terms
[tex]11L+103=268[/tex]
subtract [tex]103[/tex] from both sides
[tex]11L=165[/tex]
divide both sides by [tex]11[/tex]
[tex]L=15[/tex]
Now input this value into the first equation for [tex]L[/tex]
[tex]11A+15=103[/tex]
subtract [tex]15[/tex] from both sides
[tex]11A=88[/tex]
divide both sides by [tex]11[/tex]
[tex]A=8[/tex]
plz mark me brainliest. :)
If f(x) = -2x + 5 and g(x) = 5x - 5, what is the value of f(g(-4))?
Answer:
55
Step-by-step explanation:
g(-4)=-20-5 or -25
f(g(4)=-2(-25)+5 or 50+5
subtract x^2 - 2x - 6 from -6x + 5
Answer:
x^2+4x-11
Step-by-step explanation:
x^2 - 2x - 6 - (-6x + 5)
x^2-2x-6 +6x - 5
x^2 +4x -11
in the diagram below, de is parallel to xy. what is the value of y
......................help
Answer:
its 2.4
Step-by-step explanation:
PLEASE i need help
Select all of the expressions that are equivalent to: 8 x 8 x 8 x 8 x 8
8 x 8^4
8^3 x 8^2
5(2^3)
(2^3)^5
8^5
8^3 / 8^2
8^4 / 8^2
Select all the expressions that are equivalent to
6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6
6^9
216 + 6^6
216 x 6^6
6^5 + 6^4
6^7 + 6^2
6^5 x 6^4
9^6
If x is to y as 4 is to 5, then what is y : x?
Answer:
4:5
Step-by-step explanation:
You are doing ratios
*PLEASE ANSWER!!, I DONT GET IT*
Susie earns $9.00 per hour. She worked 37 hours from Monday to Friday. What were her total wages?
a.) $450
b.) $333
c.) $324
Answer:
b
Step-by-step explanation:
9 x 37 = 333
Answer:
$333
Step-by-step explanation:
As, the total hours Eleanor works = 37
And per hour he gets = $9
So the total wage her gets = $9 x 37
= $333
What is the slope and y-intercept of the equation
below?
4y - 8x = 16
Answer:
Step-by-step explanation:
Answer:
The slope is 2 and the y-intercept is (0, -4)
Step-by-step explanation:
In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies
Answer:
1/2 of the class
give brainliest if it helps
There are 16 boys, and 14 girls in Mr. Smith's homeroom. If two students are absent, what is
the probability that both absent students are boys?
Answer:
2/16
simplest form:1/8
Step-by-step explanation:
2/16
simplest form:1/8
There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator
2/16
Then simplify by dividing 2/2
1/8
The quantity inside a 3-dimensional space is called its
A.volume
B.heaviness
C.length
D.ratio
Answer:
volume
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
theres no weight refered, no length and ratio i dont know cause im not english but i think its A
Armando deposits $3,827 into a bank account paying 2.8% interest,
compounded monthly (12 times per year). How much money will he have in
his bank account after 16 years? PLEASE HELP!!
Answer:
$745,460.8
Step-by-step explanation:
2.8/100 × 3827 = $107.16
monthly = 1/12
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3[/tex]
$46,591.3 in 1year
16 years; $46,591.3 × 16 = $745,460.8
2(2w+8)+2w=96 please help with steps
Answer:
w=[tex]\frac{40}{3}[/tex]
Step-by-step explanation:
2(2w+8)+2w=96
Distribute the 2.
4w+16+2w=96
Combine like terms.
6w+16=96
Subtract 16
6w=80
Divide 80 by 6.
w= 13.333333 or [tex]\frac{40}{3}[/tex]
help me fast please
lskrwe
Answer: c = 1.59 * a
Step-by-step explanation:
You got the answer correct.
Answer:
You are correct, it is c = 1.59 * a
Step-by-step explanation:
Pls help me answer the products and factors
thx
Answer:
products - -3x and 6x^2
factors - 8 and 2x
Step-by-step explanation:
Answer:
-8x would go in the box above -16x and -8 would go in the other box
Which method is best to use to solve the equation 4x2−29=0?(1 point)
quadratic formula
completing the square
factoring
Square Root Property
2Is the quadratic formula the most efficient method for solving x2−x−42=0? Explain.(1 point)
No, completing the square is the most efficient method because the equation begins with x2.
No, factoring is the most efficient method because the expression on the left is factorable.
Yes, the quadratic formula is the most efficient method because it provides the fewest calculations.
Yes, the quadratic formula is the most efficient method because it provides the correct answer.
3.Which is the most efficient method to use when solving 3x2+5x+1=0?(1 point)
completing the square
quadratic formula
factoring
Square Root Property
4.Speculate which solution method is the most appropriate for solving the equation, then solve.
x2−3x−10=0
(1 point)
quadratic formula; x=2, −5
quadratic formula; x=−2, 5
factoring; x=−2, 5
factoring; x=2, −5
5.A quadratic equation has coefficients a=4, b=−8, and c=4. Which method is the most efficient way to solve for x?(1 point)
completing the square
factoring
Square Root Property
quadratic formula
Answer:
i think factoring
Step-by-step explanation:
Answer: for the first one its quadratic formula...
Step-by-step explanation:
im still doing the QC so ill keep you updated
Hurry please!!!!
Which type of transformation is described by (x, y) + (x+2, y+3)?
(А)
a translation 2 units to the right and 3 units down
(В
a translation 2 units to the left and 3 units down
a translation 2 units to the right and 3 units up
D
a translation 2 units to the left and 3 units up
(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
Given the rule of transformation:
(x, y) → (x+2, y+3)
If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.
In other words,
(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+2, y+3)
A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)
Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).
Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
To learn more on transformation click:
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ill marbrainlist plss help
Answer:
3:2
Step-by-step explanation:
PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR
Answer:
160=b
14
b: 2240
Answer:
b= 2240
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
then you simplify
hope this helps!
2x - 2 = x-5
I’ll give 35 points plz help
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
The ratio of Ali's to Beth's score is 5:3. Ali
scored 10 more marks than Beth. Clare scored
7 more than Ali. Find the score of all three.
Answer:
Ali 25
Beth 15
Clare 32
Step-by-step explanation:
Here, we want to get the score of the three
let Ali’s score be x
He scored 10
more than Beth; Beth score will be x-10
Let us now work with the ratio
x/x-10 = 5/3
3x = 5(x-10)
3x = 5x - 50
5x-3x = 50
2x = 50
x =
50/2
x = 25
Beth will
score 25-10 = 15
score had 7 more than Ali,
25 + 7 = 32
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
Find the slope of the line that passes through K(-4,4), L(5,4)
Answer:
The slope is 0, or it is a zero slope.
Step-by-step explanation:
The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.
A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
The school will sell all the tickets.
Work out an estimate for the total money the school will get.
Answer:
Answer vary :
2.95(21 times 39) = $2,416.05
Step-by-step explanation:
honestly in my opinion that the answer. so we’re trying to find out how much money the school will earn.
if each seat cost 2.95 we need to find out how many seats are their?
-21 times 39 = 819
we multiplied the rows and seats find out how many seats their are and the answer is 819.
after you do that now we have to find out how much money they will earn from selling all 819 seats.
-819 times 2.95 = 2,416.05
we then multiplie all of the seats wich is 819 seats by 2.95 wich is the cost of one seat and got 2,416.05, and that’s the answer we’ve been looking for.
and that’s how I got my answer.
The total money school will get is £2416.05 on a play.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
That means,
there are total 21 x 39 = 819 seats.
So, the total money the school will get,
= 819 x £2.95
= £2416.05
Therefore, school makes £2416.05 on a play.
To learn more about the multiplication;
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Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
The question is incomplete. Here is the complete question.
Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
How many square feet of material does Mr Jackson need to build the planter?
(a) 27 square feet
(b) 45 square feet
(c) 60 square feet
(d) 720 square feet
Answer: 45 square feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
[tex]s=\frac{P}{4}[/tex]
[tex]s=\frac{12}{4}[/tex]
s = 3
Area of a square is
[tex]A=s^{2}[/tex]
[tex]A=3^{2}[/tex]
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
[tex]A_{t}=9+9+9+9+9[/tex]
[tex]A_{t}=[/tex] 45
Mr Jackson will need 45 square feet of material to build the planter.
Answer:
45 feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
s = 3
Area of a square is
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
45
Mr Jackson will need 45 square feet of material to build the planter.
The area of a rectangle is represented by 3x^2 + 14x + 8. Factor the area to determine the dimensions of the rectangle.
Answer:
(3x+2)(x+4)
Step-by-step explanation:
(3x+2)(x+4) = (3x)(x) + (3x)(4) + (2)(x) + (2)(4)
= 3x² + 12x + 2x + 8 *****
= 3x² + 14x + 8
You start by figuring it will be in the form of (3x + a)(x + b) because 3 doesn't factor. The two middle terms in the line followed by the stars must add up to 14x. And in (3x + a)(x + b), ab must be equal to the 8 on the end (the constant factor).
For most people, factoring takes a LOT of practice. And somethimes you just have to try a lot of factors before you hit the right combination. But if you do it enough, it really does get easier to 'see' the answer a lot of the time.
Hope this helped!
3x + 7 + -X - 13
plz help
Answer:
3x+7-x-13
3x-6-x
=2x
pls mark brilliance if im right
5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty
help please i will give you brainliest if you actually help me
Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation: