71 cookies were sold at $2.00 each, whereas 35 cookies were sold at $3.00
What are simultaneous equations?
Simultaneous equations are related equations that are solved together to determine their unknown variables
Given : bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales.
Let X be number of cookies sold at $3.00
Then cookies sold at $2.00 would be 2X
2X+X=106
3X=106
X=106/3
X=35(cookies sold at $3.00)
cookies sold at $2.00=106-35
cookies sold at $2.00=71
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Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
16) The following scores were recorded on a Unit Exam:
76, 80, 80, 80, 80, 84, 84, 88, 92, 92, 92, 92, 92, 96, 96, 96, 100, 100, 100, 100
The student who scored an 88 fell in which quartile?
a) 1st quartile
b) 2nd quartile
c) 3rd quartile
d) 4th quartile
Answer:
Step-by-step explanation:
There are 20 scores.
The median is 92 and first quartile is at 82 and below.
So, 88 is in 2nd quartile.
What is the equation in slope-intercept form of the line that passes through the point (4, 1) and is parallel to the line represented by y=−2x+3?
Answer:
y = -2x+1
Step-by-step explanation:
Answer:
-2x+1
Step-by-step explanation:
PLEASE HELP !!!!!!!!!!!! I WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!
Answer:
59°
Step-by-step explanation:
According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]
So, by exterior angle property of a triangle, we have:
[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\
(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\
(10x - 1)\degree = (3x +17+2x +12)\degree\\\\
(10x - 1)\degree = (5x +29)\degree\\\\
(10x - 1)= (5x +29)\\\\
10x - 5x = 29 + 1\\\\
5x = 30\\\\
x = \frac{30}{5}\\\\
x = 6\\\\
\because m\angle QRS = (10x - 1)\degree \\\\
\therefore m\angle QRS = (10\times 6- 1)\degree \\\\
\therefore m\angle QRS = (60- 1)\degree \\\\
\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\
[/tex]
Which equation has exactly 1 solution?
a
6-2x=4x
b
6x-2x=4x
c
4x=2(3x-x)
d
4x=2(2x-3)
Answer:
a
Step-by-step explanation:
6-2x=4x
-2x-4x= -6
-6x= -6/(-6)
x=1
the only one that has a number with out an x
Answer:
A and x=1
Step-by-step explanation:
let f(x)= 4x-6 and g(x)= 3x-2. find f(x)-g(x)
Answer:
x - 4
Step-by-step explanation:
f(x) - g(x) = (4x - 6) - (3x - 2)
distribute the minus sign
4x - 6 - 3x + 2
x - 4
Find the 11 term of the following geometric sequence.
10, 30, 90, 270, ...
PLEASE I NEED HELP
T1(a) = 10, common ratio (r) = [tex] \frac{30}{10} = 3[/tex] T11 = ?
Formula for finding the nth term of a GP: [tex]t_{n} = a {r}^{n - 1} [/tex]
To find T11:
[tex]⟹t_{11} = 10 \times {3}^{11 - 1} [/tex]
[tex] ⟹t_{11} = {10 \times 3}^{10} [/tex]
[tex] ⟹t_{11} = 10 \times 59049[/tex]
Therefore:
[tex] t_{11} = 590490[/tex]
с
1.1 mm
5.2 mm
What is the length of the hypotenuse?
Answer:
[tex]\sqrt{28.25}[/tex]
Step-by-step explanation:
Use the Pythagoran Theorem
Answer:
Step-by-step explanation:
a^2+b^2= c^2
1.1^2+ 5.2^2= c^2
1.21+ 27.04= c^2
28.25=c^2
Find the value of y so that the distance between the points (4, y) and (10, 9) is
equal to 10.
Answer:
6
Step-by-step explanation:
Find the slope of given equation
Answer:
i am not sure i think its either c or b
Step-by-step explanation:
please help it is due today
Answer:
-7n - 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
5n - 3(4n + 1)
Step 2: Simplify
Distribute -3: 5n - 12n - 3Combine like terms: -7n - 3Which of the following is NOT an example of a plant adaptation towards success in their habitat.
Question 1 options:
A.Colored flowers attract pollinators to scatter their seeds.
B.Plants grow thorns to repel grazers to prevent damage.
C.Plants grow towards light as they compete fro resources.
D.Plants take in water for photosynthesis. Will give bnrainliest just help me plzz
Answer:
d. plants take in water for photosynthesis
Step-by-step explanation:
an adaptation would be a way the plant has adapted in response to a specific environment
all plants take in water for photosynthesis, so it's not an adaptation to a habitat since plants in all habitats do that
the shipping container is a rectangular prisim write a polynomial that represents the volume of the containter
The volume of the container is (4x-3)(x+2)(x+1) cubic feet.
What do you mean by a rectangular prism?Six faces make up the three-dimensional shape of a rectangular prism. The prism's faces are all rectangles. The shape of a rectangular prism is cuboidal.
There are two sets of parallel and congruent bases in this polyhedron. It has eight vertices, 12 sides, and six faces. Rectangular prisms are also known as a right rectangular prism, rectangular parallelepiped, and rectangular hexahedron.
Right rectangular prisms and oblique prisms are the two primary varieties of rectangular prisms. The bases of a right rectangular prism are parallel to the other faces.
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PLS HELP I AM STRUGGLING
The domain is Domain = {-2 <= x <= 0}, the range is Range = {0 <= y <= 2} and the relation is a function
How to determine the domain of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the domain is
Domain = {-2 <= x <= 0}
How to determine the range of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the range is
Range = {0 <= y <= 2}
How to determine if the relation is a function?From the curve, we can see that each x value has exactly one y value
This means that the relation is a function
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HELP ME AGAIN PLEASE
Answer:
[tex]\frac{5}{21}[/tex]
Step-by-step explanation:
To add, you need a common denominator. Let's use 63. We need to write an equivalent fraction for [tex]\frac{1}{9}[/tex]
[tex]\frac{1}{9}[/tex] = [tex]\frac{x}{63}[/tex] What do we need to multiply 9 by to get 63? 7. So we multiply the top number 1 by 7 to get 7
[tex]\frac{7}{63}[/tex]
Now add the fractions together
[tex]\frac{7}{63}[/tex] + [tex]\frac{8}{63}[/tex] = [tex]\frac{15}{63}[/tex] Divide the top and bottom by 3
[tex]\frac{5}{21}[/tex]
Please provide the answer and explain
Answer:
The answer is C. -2
Step-by-step explanation:
The formula for slope is referred to "rise over run". So in this case you rise 2 over one (2/1) That gives you 2. But since the line is going down is -2
A spinner has four sections: A, B, C, and D. as shown in the diagram below. Half of the
spinner is section A and the remaining half of the spinner is split evenly among the three
remaining sections,
B
A
D
A player has to pay US$3 to spin cach time. The prize for landing on each section is given
as follows
gae .
Section
A
B
D
Prize (USDS)
2
4
7
1
Determine whether the game is fair and justify your answer
Answer:
no
Step-by-step explanation:
no because the player is most likely to loose lose money considering that A has a 0.5 probability and its value is 2$ while the cost of playing is 3$ the biggest profit is 4$ if the player only plays once and it lands on C and the player takes 7$ while losing 3$ .
1.in an earlier example, we examined data on highway gas mileages of model year 2012 midsize cars. the following dotplot shows the difference (highway – city) in epa mileage ratings for each of the 24 car models from the earlier example.
The fuel economy lies between 7 to 12 and minimum fuel economy in the city
The dot above 12 represents that there's one automobile whose difference (dual carriageway-city) in EPA milege scores is 12 . this is the automobile model have 12 EPA higher economy than within the city. From the graph we have a look at that the minimum gas financial system within the town as opposed to on the motorway for the auto model is extra in metropolis than motorway.whilst the median and maximum gas economic system is more on motorway than in the town.whilst the gas economy on motorway is more and lies between 7 to twelve .The time period "gas financial system" describes how many miles an vehicle can go on a given amount of fuel. For electric powered cars, it's far expressed in miles consistent with gallon or miles in keeping with gallon gas equivalent (or MPGe). The similarly an vehicle can travel on a tank of gasoline and the extra its gasoline efficiency, the higher the miles consistent with gallon.To learn more about fuel economy visit:
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raise d to the 8th power, then divide 3 by the result
Answer:
d^8/3
Step-by-step explanation:
thats pretty much the answer
How do you do this geometry
Answer:
y = 62
z = 35
Step-by-step explanation:
Basically, you know one of the angles, that is 62. And since y is the same angle as 62 that would also be 62. And since the straight line is 180, just subtract 180 - 62, and that equals 118. So, then I just tried to find numbers that when multiplied by 6, and then subtracted by 92, equal 118. Honestly, z was just a guessing game for me. But I do know that I got the right answer, i just didn't figure it out the right way lol.
Good luck!
Answer:
y = 118°
z = 35
Step-by-step explanation:
All 8 of the angles formed by these three lines are only two different measures. They are all either 62° or
(180°-62°) 118°.
Also, any two of the angles are either the same or they add up to 180°.
The angle marked y° and the 62° angle are called "consecutive" angles or "same-side interior angles. They add up to 180°
y + 62° = 180°
y = 118°
The angle marked y° and the angle marked (6z - 92)° are called "vertical angles" and they are equal.
6z - 92 = 118°
add 92.
6z = 210°
Divide by 6.
z = 35
A jogger runs on a path at a speed of 0.075 miles per minute. A second jogger starts 5 minutes later from the same spot, but runs at a rate of 0.1 miles per minute. Create a pair of parametric equations to represent the paths of the joggers. How far down the path from the starting point does the second runner overtake the first runner?
Answer:
1.5 miles
Step-by-step explanation:
graph on desmos graphing calculator
(0.075t, 0.1t-5)
The second runner will overtake after 1.5 miles.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
Let t represent the time taken at which both the joggers meet
Then the distance covered is given by
For jogger A = 0.075 t
For jogger B = 0.1 (t-5)
0.075 t = 0.1t - 0.5
0.025t = 0.5
t = 20 seconds
The distance at which they meet is
=0.075 * 20
= 1.5 miles
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Order the numbers from least to greatest.
|-3|, 4, |-7|, -4, 0
Answer:
-4, 0, |-3|, 4, |-7|
Answer:
0,-3,4,-7,-4
Step-by-step explanation:
because the absolute value signs always come out postive
Write and solve an equation for seven less than fou
times a number is 29.
is this right? plz answer only if you know!
Answer:
Yes, I learned that like 1 week ago :D
Step-by-step explanation:
I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST
Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
the answer is A
Step-by-step explanation:
i got the answer right
Alladin's Amusement Park has a popular roller coaster ride. There are 2 trains. Each train has 7 cars. Each car holds 16 people. In one hour, each train makes 10 runs without no empty seats. How many people can ride the roller coaster in one hour?
Answer:
224
Step-by-step explanation:
Number of trains in the roller coaster = 2
Number cars in each train = 7
Total number of cars = Number of trains [tex]\times[/tex] Number of cars in each train = [tex]7\times 2[/tex] = 14
Number of people in each car = 16
Total number of people in 14 cars = Number of people in one car [tex]\times[/tex] Number of cars = 16 [tex]\times[/tex] 14 = 224
i.e.
Total number of people in the roller coaster in one run = 224
Number of runs made by each train in one hour = 10
Therefore, Total number of people that can ride the roller coaster in one hour can be found by multiplying the number of runs with total number of people in the roller coaster in one run.
224 [tex]\times[/tex] 10 = 2240
The air temperature is −6℃ at sunrise and rises 4℃ every hour for several hours. The air temperature after x hours after sunrise is represented by the function f(x)=4x-6. Use intercepts to graph the function and interpret the intercepts in context.
Answer:
Step-by-step explanation:
F(x)=4x-6
It will start at -6C and every hour we will be going up by 4
does anyone know the answers for 1-5?
given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis. What quadrant will point A be in
Answer:
it would be -90⁰ because its clockwise its the opposite direction
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account? (Answers are pinned below.)
Answer:
$-8.23
Step-by-step explanation:
126.89+21.49-156.61
-8.23
Hope this helps plz hit the crown ;D