Answer:
well, it really depends but im pretty sure its false. you can start with either one and find the equation
Step-by-step explanation:
5. A girl is told to buy some melons and oranges. Melons are 50c each and oranges 25c each, and she has $2 to spend. She must not buy more than 2 melons and she must buy at least 4 oranges. She is also told to buy at least 6 fruits all together.
Let x be the number of melons
Let y be the number of oranges.
a) Write down four inequalities which must be satisfied.
b) Draw a graph and use it to list the combinations of fruit that are open to her.
Answer:
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
Step-by-step explanation:
The price per Melon = 50c = $0.5
The price per orange = 25c = $0.25
The amount she has to spend = $2
The number of melons she must buy ≤ 2
The number of oranges she must buy ≥ 4
The total number of fruits she should ≥ 6
Let x be the number of melons
Let y be the number of oranges
a) The four inequalities are;
1) x ≤ 2
2) y ≥ 4
3) x + y ≥ 6
4) 0.5 × x + 0.25 × y ≤ 2
b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel
The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;
1) (0, 8) which is 0 melons and 8 oranges
2) (0, 6) which is 0 melons and 6 oranges
3) (2, 4) which is 2 melons and 4 oranges
7x – 3y = 42
solve for x when y = 0
solve for y when x = 0
Step-by-step explanation:
y=0
7x-3*0=42
7x=42
x=42/7=6
x=0
7*0-3*y=42
-3y=42
y=-42/3=-14
Answer:
y=-14, x= 6
Step-by-step explanation:
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
1. Parallelogram WXYZ is shown on the coordinate plane ect...
Added photo plz help!!
Answer:
Step-by-step explanation:
12.718 units
Step-by-step explanation:
The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).
So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}
Now, length of WX = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123
And, length of XY = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236
Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)
given that
f(n) = n^2 - 4n + 3
& g(n) = 2n - 1
find gf(-2)
Answer:
The value of [tex]gf\left(-2\right)[/tex] will be:
[tex]gf\left(-2\right)=29[/tex]Step-by-step explanation:
Given the functions
[tex]f(n) = n^2 - 4n + 3[/tex]
[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]
[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]
[tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]
[tex]=2^2+4\cdot \:2+3[/tex]
[tex]=2^2+8+3[/tex]
[tex]=4+11[/tex]
[tex]=15[/tex]
so
[tex]gf\left(-2\right)=g\left(15\right)[/tex]
[tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]
Therefore,
[tex]gf\left(-2\right)=29[/tex]If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?
Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.
Answer:
The probability of a van getting rented next is 25%.
Step-by-step explanation:
The graph is attachedProbability Formula:
number of favorable outcomes / the total number of outcomesGiven Information:
Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3Calculations:
number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4Probability of a van getting rented: 1/4 or 25%
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
Ok now these are my very last points please help
Answer:
wait what grade are you in ?
What is the solution to this equation
-4x + 2 = 26
Answer:
x=-6
Step-by-step explanation:
Move all terms that don't contain x to the right and solve using the elimination process.
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answer:
me!
Step-by-step explanation:
Help please it’s due in a bit
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?
Answer:
D.
Step-by-step explanation:
to prove congruency of two triangles, you need two congruent sides and one congruent angle
in this case we are given exactly that, 2 sides and one angle that is congruent
we would also need to make sure that the given sides and angles are actually congruent, and not mismatched
we can do this by looking at the positions of the letters in each congruency statement
for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched
if you do this with every statement that you are give, you can see that the triangles can be proven by SAS
Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)
Answer:
x=-7
Step-by-step explanation:
BRAINLIEST PLS
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
A.
B.
C.
D.
Help me please!!
It's B!!! ik cuz i ggogled it lol
Answer:
I think the answer is B. $92
Step-by-step explanation:
$80 time (115 on calculator will give you 9200
Please I will give brainylest if the answer is correct
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
What is the x-intercept of the line graphed on the grid?
Answer:
2
Step-by-step explanation:
If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.
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Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5
Answer:
I am sorry what are you showing
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos
Answer:
I think the answer would be A
Answer:
A
Step-by-step explanation:
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = x^2+2
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?
Answer: Water: The battle between the clean vs the dirty :P
Step-by-step explanation: