Answer:
A) [tex]x+y=20[/tex]
B) Cost function is: [tex]3x+2y = 50[/tex]
C) [tex]x+y=20[/tex], [tex]3x+2y = 50[/tex]
D) [tex]x=10, y=10[/tex]
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = [tex]x[/tex]
Let number of kilos of atis bought = [tex]y[/tex]
Total number of kilos bought = 20
A) [tex]x+y=20[/tex]
Cost of mango per kg = 60
Cost of mango for [tex]x[/tex] kg = [tex]60x[/tex]
Cost of atis per kg = 40
Cost of mango for [tex]y[/tex] kg = [tex]40y[/tex]
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
[tex]60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)[/tex]
C) System of equations are:
[tex]x+y=20[/tex] ...... (1)
[tex]3x+2y = 50[/tex]...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
[tex]x = 10[/tex]
By equation (1):
[tex]\Rightarrow y =10[/tex]
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
[tex]3\times 10 +2\times 10[/tex] = 50 = RHS
Yes, the result satisfies the equations.
Answer:
What is it?
Step-by-step explanation:
Enter an equation in standard form of the line.
(4,-9) and (2, -3) are on the line.(10 points)
Answer:
((7
Step-by-step explanation:
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
Assassins on a rate of 29.6 ft./s if a building is 1450 feet tall how long would it take for an elevator to travel from the ground floor to the roof
Answer:
1450/29.6 = 49 seconds
Step-by-step explanation:
have a good day but please give me a brainliest
simplify the given rational expression: x-2 x²-4
Answer: 1/(x+2)Step-by-step explanation:=(x-2)(1)/(x-2)(x+2) cancel (x-2)=1/(x+2)
Step-by-step explanation:
Please Help ASAP!!!!!
Answer:
3.05 ft
Step-by-step explanation:
Rita rolled a die 25 times. Her results are shown in the table attached:
1. What is the experimental probability P(2)?
2. What is the experimental probability P(4)?
3. What is the experimental probability of rolling a 2 or a 3?
4. What is the experimental probability of rolling an even number?
5. What is the theoretical probability of rolling an even number?
6. Find the experimental probability P(1, 2, 3, 4, 5, 6).
7. Find the theoretical probability P(1, 2, 3, 4, 5, 6).
Answer:
I have the same questions and I got them right
Step-by-step explanation:
1.) P(2)=4/25
2.) P(4)= 5/25= 1/5
3.) P(2,3)=5/25= 1/5
4/25+1/25= 5/25= 1/5
4.) P(2,4,6)=16/25
4/25+ 5/25+ 7/25= 16/25
5.)There are three even numbers so, 3/6= 1/2. So, 1/2.
6.) P(1, 2, 3, 4, 5, 6)= 25/25 = 1
6/25+ 4/25+ 1/25+ 5/25+ 2/25+ 7/25= 25/25 = 1
P(1)= 6/25 P(2)= 4/25 P(3)= 1/25 P(4)= 5/25 P(5)= 2/25 P(6)= 7/25
I WILL MARK BRAINLIEST!!!!!!!!!
Determine whether the table below represents a linear function. Explain your reasoning.
Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
Select ALL of the terms below that make the following statement true.
Every rectangle is a ___________.
A. parallelogram
B. square
C. quadrilateral
D. rhombus
Answer:
quadrilateral
Step-by-step explanation:
Write an equivalent expression. 1/3(12x+6x-21)=
Answer:
Step-by-step explanation:
1/3(12x+6x-21)
Take 1/3 of everything in the ()
4x+2x-7 combine like terms
6x-7
The equivalent expression is 6x - 7
Given the function 1/3(12x+6x-21), to get the equivalent expression, we will open the parenthesis using the distributive law;
= 1/3(12x+6x-21)
= 1/3(12x) + 1/3(6x) - 1/3(21)
= 4x + 2x - 7
On simplification, the resulting expression will be:
= 6x - 7
Hence the equivalent expression is 6x - 7
Learn more on functions here: https://brainly.com/question/19999031
find the missing side length. and how do i set up to solve?
Answer:
its 6 because the lines show they are parellel so it has to be equal to 18 and 12 plus 6 is 18
Step-by-step explanation:
BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
Answer:
32 days is my final answer
Step-by-step explanation:
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is . Input numbers and decimal point only, such as 5.8.
Answer: 2.5-1.4=1.1 your welcome
Answer:
1.1
Explanation:
If you subtract 2.5 by 1.4, you get 1.1
I'VE SAVED THE DAY MARK ME THE BRAINLIEST
WILL GIVE BRAINLIEST,
WORTH 10 POINTS
ANSWER ASAP ⚠️⚠️⚠️⚠️⚠️⚠️
what is 0.4 rounded? is it possible to turn it into another pair of decimal numbers or can I only change it to a whole number?
Answer:
Im a little confused on what your asking but for 0.4 as a decimal is 0.4,for a fraction 0.4 is 2/5 and for a percent 0.4 is 40%
Step-by-step explanation:
I hope this helps!!
find the x-intercept and y -intercept 4x-7y=8
Answer:
x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
4x - 7(0) = 8 , that is
4x = 8 ( divide both sides by 2 )
x = 2 ← x- intercept
To find the y- intercept , let x = 0 in the equation and solve for y
4(0) - 7y = 8, that is
- 7y = 8 ( divide both sides by - 7 )
y = - [tex]\frac{8}{7}[/tex] ← y- intercept
-7q + 12r = 3q - 4r what dose r equal
Answer:
r = 5y/8
Step-by-step explanation:
isolate the variable by dividing each side by factors that contain the variable.
A 1622 kg car has a speed of 11.3 m/s when
it hits a tree. The tree doesn't move and the
car comes to rest.
Find the change in kinetic energy of the car. .
Answer in units of J.
The change in kinetic energy of the car is -83439.06 joules.
How to find change in kinetic energy?The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.
Since the car comes to rest after hitting the tree, its final kinetic energy is 0.
The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
Plugging in the values, we get:
KE = 1/2 × 1622 kg × (11.3 m/s)²
KE = 1/2 × 1622 kg × 128.69 m²/s²
KE = 83439.06 kg m²/s²
To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².
The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².
Therefore, the car's kinetic energy dropped by -83439.06 joules.
To learn more about kinetic energy click here:
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Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
–10
–7
–5
3
15
24
Answer: -10,-5,3,15
A,C,D,E
The next one is a= -5, b=1, c=-5, d=-12
The last one is 3 & 4
The rational root theorem is used to determine the potential roots of a function.
The potential roots are: [tex]\mathbf{-10, -5, 3, 15}[/tex]
The function is given as:
[tex]\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}[/tex]
For a polynomial function:
[tex]\mathbf{P(x) = px^n +.............+ q}[/tex]
The potential roots are:
[tex]\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
The factors of 60 are:
[tex]\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The factor of 1 is:
[tex]\mathbf{1 = \pm 1}[/tex]
So, we have:
[tex]\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}[/tex]
[tex]\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The potential roots in the option are:
[tex]\mathbf{Factors= -10, -5, 3, 15}[/tex]
Read more about rational root theorems at:
https://brainly.com/question/9353378
toby has $13 to buy t-shirts for his bowling team. Each t-shirt costs $4. How many t-shirts can he buy?
Answer:
3
Step-by-step explanation:
13 ÷ 4 = 3.25
but you wont by .25 of a shirt so he can only buy 3 shirts
452 divided by 7 with remaining
Answer: The answer is 64 remaining 5.
Step-by-step explanation:
Answer:
65 with a remaining of 1
Step-by-step explanation:
Ahmya bought $10 shirt. Spent 1/2 remaining money for dinner. Bought $4cofee, spent 1/4 of remaining money on souveniers. How much did she start with?
Answer:
The amount she started with $20
Step-by-step explanation:
Let the amount Ahmya started with = x
when she bought $10 shirt, the remaining money is = x - 10
she spent half of this remaining money on dinner = [tex](\frac{x- 10}{2} )[/tex]
amount left after this = [tex](\frac{x- 10}{2} )[/tex]
she further spent $4 on cofee, the remaining money = [tex](\frac{x- 10}{2} )[/tex] - 4
she also spent 1/4 of remaining money on souveniers = [tex]\frac{1}{4}(\frac{x-10}{2} - 4)[/tex]
amount left = [tex]\frac{3}{4}(\frac{x-10}{2} - 4)[/tex]
The two last fractions should sum up to 1;
[tex]\frac{1}{4}(\frac{x-10}{2} - 4) + \frac{3}{4}(\frac{x-10}{2} - 4) = 1\\\\\frac{x-10}{8} -1 + \frac{3x-30}{8} -3= 1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 1+3+1\\\\\frac{x-10}{8} + \frac{3x-30}{8} = 5\\\\\frac{x-10 +3x-30}{8} = 5\\\\\frac{4x-40}{8} =5\\\\4x-40 =40\\\\4x =80\\\\x = 20[/tex]
x = $20
Therefore, the amount she started with $20
How do you give someone Brainliest.
Answer:
Once 2 people answer there will be a crown at the bottom right hand corner of both questions. Then once you click on one they get 6 extra points and brainliest answer for that question. Only one person can have it so choose wisely. Have a nice day! (would appreciate brainliest!)
Answer:
If two people answer a question, the person who asked the question has the option to give brainliest to one person out of the two. Hope this helped! May I have Brainliest?
Step-by-step explanation:
PLEASEEE HELPPPPPPPP JSBSJSBDSB
Answer:
-11
Step-by-step explanation:
Please I need help: Find a number greater than 1 and less than 1000 that is both a perfect square and a perfect cube.
Answer:
64
Step-by-step explanation:
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and
each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and
a drink, which expression can be used to express the total cost of the meal?
A 8.50a + 6.75k + 1.75
B a(8.50 + 1.75) + 6.75k
C (a + k)(8.50 + 6.75 + 1.75)
D 8.50a + 6.75k + 1.75(a + k)
Answer:
D
Step-by-step explanation:
Splitting the atom proved the equation E = MC 2 , which was formulated by the mathematician
Choose...
.Isaac Newton
.Kepler
.Aristotle
.Albert Einstein
9514 1404 393
Answer:
Albert Einstein
Step-by-step explanation:
Einstein formulated the special and general theories of relativity, completely revising the laws of physics that had been accepted up to that point in time. Among many results was the equation saying matter and energy are the same thing:
[tex]E = mc^2[/tex]
plz help meeeee asap
Plz help I don’t know the answer
Johan is buying 3 tickets for each of 2 movies. Each ticket costs $11.75. How much money will Johan spend?
Answer:
Johan spends $70.50.
Step-by-step explanation:
3 * 2 * 11.75 = 70.50
A plumber is connecting pipes in the shape of a triangle. Which of the following pipe lengths could form a triangle?
15,6,5
13,12,5
40,20,10
19,16,2
Answer: 13,12,5
Step-by-step explanation:
According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.
since [tex]6+5 =11 \ngtr 15[/tex]
[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]
Only pipe lengths with measure 13,12,5 can form triangle as
13+12 >5
12+5>13
13+5>12
Hence, the correct option is 13,12,5.