Answer:
$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.
Step-by-step explanation:
x = cost of the ice cone cone
y = cost of the funnel cake
3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50
5x + 8y = 35.25 do not change ⇔ + 5x + 8y = 35.25
-x = -4.25
x = 4.25 cost of the ice cream cone
Substitute into the second equation x = 4.25 and solve for y
5(4.25) + 8y = 35.25
21.25 + 8y = 35.25
8y = 14
y = 1.75 cost of the funnel cake
A farmer decides to make three identical pens with 88 feet of fence. The pens will be next to each other sharing a fence and will be up against a barn. The barn side needs no fence. What dimensions for the total enclosure (rectangle including all pens) will make the area as large as possible?
Answer:
The long fence, AC = 44 feet
4 shorter segments at 11feet each = 44 feet
Area = 484 ft^2
Step-by-step explanation:
The three pens will share one fence section parallel to the barn, we'll call it AB. Each pen will need two side fence segments, from the front fence to the barn. We'll call those portions AC. We need four of them: two for the outer sides and two more to divide up the space equally among the three pens. The total area would be AB*AC.
We know that AC + 4AB = 88 feet.
or AC = (88feet - 4AB)
Area = AB(88feet - 4AB)
Area = 88AB - 4AB^2
To maximize the area, we can take the first derivative and set it equal to zero:
Area' = 88 - 8AB
0 = 88 - 8AB
AB = 11 feet
AC = (88 - 4AB)
AC = (88 - 44)
AC = 44 feet
The fours segments of fence:
AC + 4AB = 88 feet
(44) + 4(11 feet) = 88feet
Area = 44' x 11 ft' = 484 ft^2
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answer:
Henry could only see one line because both equations have the same expression when simplified: y = 3/2x - 2.Source:
https://brainly.com/question/9764595James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?
=====================================================
Work Shown:
(height)/(shadow length) = (height)/(shadow length)
(5 ft)/(6.5 ft) = (x ft)/(26 ft)
5/(6.5) = x/26
5*26 = 6.5*x
130 = 6.5x
6.5x = 130
x = 130/(6.5)
x = 20
The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).
Graph the point (−1, 5/2) on the coordinate plane.
PLEASE HELP ASAP
Answer:
The answer is 2 1/2
Step-by-step explanation:
The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin and has been plotted below.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinate is the denotation of horizontal and vertical distinctions in a coordinate plane with actual distance as per a given scale factor.
The general form of coordinate (x,y) shows x distance far from the origin in the horizontal direction and y distance far from the origin in the vertical direction.
(-1,5/2) → -1 units refer to 1 unit left due to the minus sign.
5/2 = 2.5 its positive so 2.5 units up.
Hence "The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin".
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Please help me
A?
B?
C?
D?
Answer:
B
Step-by-step explanation:
Answer:
[tex]13x^{10}[/tex]
Step-by-step explanation:
[tex]4x^{10}+9x^{10}[/tex]
[tex](4+9)x^{10}[/tex]
[tex]13x^{10}[/tex]
Because [tex]x^{10}[/tex] can be factored out from both terms, you just add 9 and 4 and keep the [tex]x^{10}[/tex].
Write an equation in point-slope form of the line
that passes through the points (5. – 1) and
(-6,-4).
Answer:
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Step-by-step explanation:
First, find the slope.
-4--1= -3
-6-5= -11
3/11 is the slope
Plug in the slope and one the the points.
y+1 = [tex]\frac{3}{11}[/tex](x-5)
Follow me on i n s t a g r a m, send a message, and I'll follow you back : ifaulkner24
help me please...
At least an explanation
Answer:
do u still need this question answeered?
Step-by-step explanation:
Asha has $100 on a movie theater
gift card. Each time she buys a ticket
to a movie it costs her $8.75. Write
an equation that Asha can use to find
×, the number of tickets she can buy
if she wants to keep a $15 balance on
the gift card.
A coconut cream pie recipe uses 6 ounces of crearn cheese, 12 ounces of condensed milk, and 10 ounces whipped topping In simplest form, how many ounces of cream cheese are there for every ounce of condensed milk?
Answer:
1 oz of cream cheese to every 2 oz of condensed milk
Step-by-step explanation:
We can completely disregard whipped topping because it does not ask for it.
We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:
6:12
6 oz cream cheese:12 oz condensed milk
The question is basically asking to simplify 6:12
Since the greatest commond factor is 6, we can divide both sides by 6 and get:
1:2
Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk
2x - 8 algebraic expression
Answer:
Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.
Step-by-step explanation:
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
What are the factors of 14 and 7?
Mapping diagram: Is it a function? (yes /
no
) Why or why not?
Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.
Can someone plss help me with this!!!
There are 42 students separated into 6 groups for a field trip. How many students are in each group
Answer:
There is 7 students in each group
Step-by-step explanation:
So it's basically easy math 42 divided by 6 equals 7 :)
Hopes This Helps :)
Find the simple interest and amount in each of the following:
(a) P = $1800 R = 5% T = 1 year
(b) P = $2600 R = 12% T = 3 years
(c) P = $3125 R = 15% T = 73 days
(a)
[tex]SI = \frac{PRT}{100} \\ = \frac{1800 \times 5 \times 1}{100} \\ = 18 \times 5 \\ = 90[/tex]
Total amount = SI + Amount
= 90 + 1800 = $1890
(b)
[tex]SI = \frac{PRT}{100} \\ = \frac{2600 \times 12 \times 3}{100} \\ = 26 \times 12 \times 3 \\ = 26 \times 36 \\ = 936[/tex]
Total amount = SI + Amount
= 936 + 2600 = $ 3236
(c)
[tex]SI = \frac{PRT}{100} \\ = \frac{3125 \times 15 \times 0.2}{100} \\ = 93.75[/tex]
Total amount = SI + Amount
= 93.75 + 3125 = $ 3,218.75
The simple interest on $1800 is $90.
The simple interest on $2600 is $936.
The simple interest on $3125 is $93.75
What are the simple interests?Simple interest is when interest is earned only on the amount of money deposited.
Simple interest = amount deposited x time x year
1800 x 0.05 x 1 = $90
2600 x 0.12 x 3 = $936
3125 x 0.15 x (73/365) = $93.75
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Which line is the STEEPEST?
A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1
please help asap!!!!!
Answer:
d is the question
Step-by-step explanation:
help with this graph please and thanks
Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
---
y = -3x-7
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answer:
E no is the correct answer
To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I
The original
Equation is V = IR
Where I is multiplied by R
To solve for I you need to isolate it by dividing both sides by R
I = V/ R
Answer: divide both sides by R
Answer:
To make I a subject of the formula V = IR, we divide both sides by R.
Step-by-step explanation:
V = IR
V/R =IR/R
The R in IR/R cancels out because it is on the other side.
We then have:
V/R = I
Which can be written as:
I = V/R
Hope this helps! Have a great day!
Help help me help help plz plz help help plz help me help plz plz help help plz
Answer: you give us that picture, but what are the instructions?
Step-by-step explanation:
Answer:
oh you have to draw for this assignment.. sad
Step-by-step explanation:
Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?
Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.
First Storm
7/4= 1.75 strikes per minute
Second Storm
1.75+2=3.75
3.75*6=22.5 strikes in the second storm
Answer
so uh
Step-by-step explanation:
thats how to solve
What is the slope of a line perpendicular to the line whose equation is -2x+20y=6
Answer:
-10
Step-by-step explanation:
Solving for y gives ...
20y = 2x +6
y = 2/20x +6/20 = 1/10x +3/10
The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.
The perpendicular line has a slope of -10.
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
What does pie mean?
I forgot ; )
Answer:
pie means 3.142
Step-by-step explanation:
Answer:
In decimal form, the value of pi is approximately 3.14. It looks like this π.
Hope that helps. x
I need help solving for Y
Answer:
y=24
Step-by-step explanation:
since the triangles are similar, their sides are all in proportion
meaning:
[tex] \frac{20}{15} = \frac{32}{y} [/tex]
simplify the fraction
[tex] \frac{4}{3} = \frac{32}{y} [/tex]
cross multiply once the fraction is simplified
[tex]96 = 4y[/tex]
y=24
Answer:
y = 24
Step-by-step explanation:
the first triangle 20 : x : 32
the 2nd triangle 15 : 21 : y
Solve the equation of two triangles by similarity
x = [tex]\frac{21 * 20}{15}[/tex] = 28
y = [tex]\frac{21 * 32}{28}[/tex] = 24
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y?
If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
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WILL GIVE BRAINLIEST IF UR RIGHTTT!
Answer:
[tex]-\sqrt{5\\}[/tex]
Step-by-step explanation: