Answer:
50kg de café torrado
30kg de café arábico
Step-by-step explanation:
Queremos obtener un total de 80kg de café molido.
Se utilizarán:
Café arábico, que cuesta $18 el kg
Café torrado, que cuesta $10 el kg
Queremos que el precio, por kilo, de la mezcla de 80kg sea $13.
Ok, primero debemos definir las variables:
Definamos:
x = cantidad de café arábico usado
y = cantidad de café torrado usado.
Entonces, como la mezcla deberá tener 80kg en total, tenemos:
x + y = 80kg
Y el costo total de esta mezcla será:
x*$18 + y*$10
Si lo dividimos por el peso total, tendremos el costo por kilo, que es:
(x*$18 + y*$10)/80kg
Y queremos que esto sea igual a $13, entonces tenemos la ecuación
(x*$18 + y*$10)/80kg = $13
Ok, ahora tenemos dos ecuaciones, es decir, tenemos un sistema de ecuaciones:
x + y = 80kg
(x*$18 + y*$10) = $13*80kg
(donde reescribimos levemente la segunda ecuación)
Ok, para resolver este sistema trataremos de reemplazar variables, para ello, el primer paso es aislar una de las variables en una de las ecuaciones.
Aislemos x en la primera:
x = 80kg - y
Ahora reemplazamos esto en la otra ecuación:
(x*$18 + y*$10) = $13*80kg
(( 80kg - y)*$18 + y*$10) = $13*80kg
Ahora podemos resolver esto para la variable y:
$18*80kg - $18*y + $10*y = $13*80kg
$18*80kg - $13*80kg = $18*y - $10*y
($18 - $13)*80kg = ($18 - $10)*y
$5*80kg = $8*y
($5*80kg)/$8 = y
50kg = y
Se usan 50kg de café torrado.
y como:
x + y = 80kg
x = 80kg - y
x = 80kg - 50kg = 30kg
Entonces los 30kg restantes serán de café arábico.
y la estrategia utilizada fue el remplazo de variables.
there are 260,000 45-years Based on the table below how many are not expected to be alive in a year
Answer:
117,000
Step-by-step explanation:
45% of 260,000
= 9/20 of 260000
= 260000/20 =13000
= 13000*9
= 117,000
So the amount of people who are not alive is 117000
The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.
What is Expected value in Statistic?The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.
The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.
According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:
= 315/100,000.
So, the expected number of deaths in the year is
E(X) = 260,000 x 315/100,000
E(X) = 2.6 x 315
E(X) = 819.
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Find the volume - leave answer in terms of π
Answer:
144[tex]\pi[/tex]
Step-by-step explanation:
Volume of a Sphere :
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]
V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)
V = 288[tex]\pi[/tex]
Now divide by 2, it's only half of a sphere.
pls pls help
How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many
Answer:
One
Step-by-step explanation:
This equation is not a quadratic and can be solved to get an integer solution
Answer:
Step-by-step explanation:
It can have at most 1 sensible answer. It may have zero and infinitely many
3x + 6 = - 1 - 3 + 4x Combine the right
3x + 6 = - 4 + 4x Add 4 to both sides
3x + 6 + 4 = 4x Subtract 3x from both sides
3x + 10 -3x = 4x - 3x Combine
10 = x
The only answer (1) that is possible is 10.
Write a expression to represent each situation
Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.
Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each
QUICK PLEASE
42% of £719.24 Give your answer rounded to 2 DP.
Answer:
719.24 is the correct answer
worth 10 points please help me ASAP!
Answer:
(-1,-1)
Step-by-step explanation:
If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).
Find the size of each of the unknown angles. Help me plz.
The answer is a=b=60 degree and c=120 degree. Give me solution plz
Answer:
a=60 b=60 c=120 is the answer
Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor to 15th floor?
Answer:
30 seconds
Step-by-step explanation:
→ Work out how many floors it's going to travel
15 - 3 = 12 floors
→ Work out how many meters 12 floors is
12 × 5 = 60 meters
→ Work out how long that will take
60 ÷ 2 = 30 seconds
A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?
Answer:
$49 and $65 are the choices you should check. These prices are greater than $45.
Step-by-step explanation:
It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.
Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.
Describing the Vertical Line Test
Explain what the vertical line test is and how it is used.
Answer:
Vertical line test is used to identify that the given graph is function or not
In this a vertical line is drawn at any part of the graph
If it cuts only one line then it is a function and it cuts more than one line then it is not a function
Answer:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
Step-by-step explanation:
Which of the following is a geometric sequence
Answer:
B.
Step-by-step explanation:
A geometric sequence is where a number is multiplied or divided by same number
in option be all number ar the power of 2 so the correct answer would be B
What is the answer to this question
Answer:
4 is the answer to this question
A system of equations and its solution are given below.
System A
5x-y=-11
3x-2y=-8
solution: (-2,1)
To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.
System B
5x-y=-11
?
A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.
modrater give answer
if 107x = 22224446668880
Thane value of 1x
22224446668880÷107=207705109054.19
Answer:
[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]
The measures of the exterior angles of a pentagon are x', 38°, 45°,
5x", and 72. Solve for x.
Answer:
Step-by-step explanation:
sum of exterior angles of a polygon=360°
x+38+45+5x+72=360
6x=360-155=205
x=205/6=34 1/6
second question
x+3x+4x+5x+7x=360
20x=360
x=360/20=18
x=18
Show that x +1 is a factor of f(x) =2x^3 +3x^2 - 5x - 6
Answer:
Step-by-step explanation:
To solve this, we can use polynomial long division.
Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.
Verify that cos squared A plus Sin squared A is equal to 1 if A is equal to 90 degrees
Answer:
see explanation
Step-by-step explanation:
To verify cos²A + sin²A = 1 with A = 90° , then
cos²90° + sin²90°
= (0)² + (1)²
= 0 + 1
= 1
I NEED HELP SOMEONE PLEASE HELP ME
Answer:
27.3
Step-by-step explanation:
The base of the triangle is,
√(12²-5²)
= √119 = 10.9
The area of the triangle,
5×10.9/2
= 109/4 = 27.25 ≈ 27.3
Answered by GAUTHMATH
Consider the function f(x) = -2x2 +3x-8. Determine f(k+4). Fully simplify your answer.
Answer:
f(k + 4) = -2k² - 13k - 28
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = -2x² + 3x - 8
Step 2: Evaluate
Substitute in x [Function f(x)]: f(k + 4) = -2(k + 4)² + 3(k + 4) - 8Expand [FOIL]: f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) - 8[Distributive Property] Distribute: f(k + 4) = -2k² - 16k - 32 + 3k + 12 - 8Combine like terms: f(k + 4) = -2k² - 13k - 28If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?
Answer: 30
Step-by-step explanation:
Given
Polyhedron has (E)58 edges
It has same number of faces and vertices
Using Euler's formula
[tex]\Rightarrow V-E+F=2[/tex]
where
V=no of vertices
E=no of edges
F=no of edges
Suppose there are x faces
Insert the values
[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]
Thus, polyhedron has 30 faces.
Answer:
30
Step-by-step explanation:
Help and explain pls and thankyouu
Hello,
1)
[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]
Answer C
2)
[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]
Answer C
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Answer:
Step-by-step explanation:
so they used a total of 560 units
we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula
0.1(x-360+54)
0.1(560-360) + 54 = monthly bill
20+54 = monthly bill
74 = monthly bill
answer D looks good
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
G(4, 6), H(1, 5)
Answer:
x-3y=-14
Step-by-step explanation:
Slope = (5-6)/(1-4) = -1/-3 = 1/3
y-intercept is,
b=6-1/3×4 = 14/3
so the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
Answered by GAUTHMATH
Standard form the equation of the line passing through the given points is x-3y=-14
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
Given points are: G(4, 6), H(1, 5)
Now,
Slope = (5-6)/(1-4)
= -1/-3
= 1/3
and y-intercept is,
b=6-1/3×4
b = 14/3
Hence, the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
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what is 888 + 48 ? pleaaaase
Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.
Step-by-step explanation:
here is the answer to thy question. Feel free to ask for more
help me please i need this right now !!
Answer:
The first choice.
Step-by-step explanation:
3(x + 2) is equal to 3 * x + 3 * 2.
Simplify that, and you would get 3x + 6.
Answer:
A. or 3(x+2) = 3x + 6
Step-by-step explanation:
A. 3(x+2) = 3(x) + 3(2)
= 3x + 6
Which is correct!.
B. x^2 is nowhere to be found.
C. Doesn't distribute the 3 into the 2 properly.
D. Doesn't distribute the -3 into the x properly.
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Step-by-step explanation:
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]
Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Help pls. I give all points i have
Answer:
100 cm so .............qsuw
In this picture, the measure of angle theta is 1 radian.
A. True
B. False
*please include an explanation for answer*
Answer:
B
Step-by-step explanation:
A central angle of 1 radian occurs when the arc length is equal to the radius.
Here the radius is 2.5 in and the arc length is 2 in
Thus the statement is False
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, [tex]\mu=8.04 g[/tex]
Standard deviation, [tex]\sigma=0.08g[/tex]
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components
[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]
[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]
=0.03
From z- table we get
[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]
Therefore, we get
[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]
[tex]x_1-8.04=-1.88\times 0.08[/tex]
[tex]x_1=-1.88\times 0.08+8.04[/tex]
[tex]x_1=7.8896[/tex]
[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]
[tex]x_2=1.88\times 0.08+8.04[/tex]
[tex]x_2=8.1904[/tex]
Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.