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.
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:05 and arrives at 13:35. Work out the difference, in km/h, between the average speed of their trains.
Answer:
10 km/hr
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 km/hr
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 km/hr
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 km/hr - 120 km/hr
= 10 km/hr
Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?
Answer:
If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.
10 y is directly proportional to the cube of x. Given that y = 1512 when x = 6, find the equation for the y in terms of x.
Answer:
[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]
Does anyone know the answer?
Answer:
A
Step-by-step explanation:
A and B are the only answer choices that give you imaginary number outputs
But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range
Therefore A is the correct answer
BRAINLIEST PLEASEEEEEEEE
Answer:
it is the first answer... has the same domain as the function
Step-by-step explanation:
−3x−6+(−1)
need answer pls
Step-by-step explanation:
−3x−6+(−1)
-3x-7
Hope it helps youAnswer:
−3 −7
Step-by-step explanation:
-3x-6-1
-3x-7
A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?
Answer: [tex]589.33\ mph[/tex]
Step-by-step explanation:
Given
Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.
Wind from west is 80 mph
Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.
Suppose the speed of plane is
[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]
Suppose the distance is x
[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]
Average speed is
[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]
Answer:
The speed of plane is 600 mph.
Step-by-step explanation:
Let the distance is d.
Speed of wind , u = 80 mph
Time, t = 17 hours
time, t'= 13 hours
Let the speed of airplane is v.
distance = speed x time
d = (v + u) x 13= (v - u) x 17
(v + 80) x 13 = (v - 80) x 17
13 v + 1040 = 17 v - 1360
4 v = 2400
v = 600 mph
According to the rational root theorem which of the following are possible roots for the function below x^4-29x^2+100
Hello,
The rational roots may be all divisors of 100
+1,-1,+2,-2,+4,-4,+5,-5,+10,-10,+20,-20,+25,-25,+50,-50,+100,-100
f(x)=x^4-29x^2+100
f(5)=5^4-29*5^2+100=0 : 5 is a root
f(-5)=(-5)^4-29*(-5)²+100=0 : -5 is a root
f(2)=2^4-29*2²+100=0 : 2 is a root
f(-2)=(-2^)^4-26*(-2)²+100= 0 : -2 is the last root.
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
Let be the set of permutations of whose first term is a prime. If we choose a permutation at random from , what is the probability that the third term is equal to
Answer:
[tex]Pr = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5\}[/tex]
[tex]n = 5[/tex]
Required
Probability the third term is 3
First, we calculate the possible set.
The first must be prime (i.e. 2, 3 and 5) --- 3 numbers
[tex]2nd \to 4\ numbers[/tex]
[tex]3rd \to 3\ numbers[/tex]
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So, the number of set is:
[tex]S = 3 * 4 * 3 * 2 * 1[/tex]
[tex]S = 72[/tex]
Next, the number of sets if the third term must be 2
[tex]1st \to 2[/tex] i.e. 1 or 5
[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term
[tex]3rd \to 1\ number[/tex] i.e. the digit 2
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So
[tex]r = 2 * 3 * 1 * 2 * 1[/tex]
[tex]r = 12[/tex]
So, the probability is:
[tex]Pr = \frac{r}{S}[/tex]
[tex]Pr = \frac{12}{72}[/tex]
[tex]Pr = \frac{1}{6}[/tex]
evaluate f(3) if (x) = -4x+5
Answer:
-7
Step-by-step explanation:
simplify 3[(15-3)^2 + 4]
Answer:
444
Step-by-step explanation:
3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 12 )^2 + 4 ]
= 3 [ 144 + 4 ]
= 3 [ 148 ]
= 444
Step-by-step explanation:
3(15-3)²+4
3(12)²+4
3×144+4
432+4
436 Answer
find the point(s) in which f(x)=e^5-2x and y=6 intercept
Answer:
(1.6, 6)
Step-by-step explanation:
[tex] ln({e}^{5 - 2x} = 6)[/tex]
[tex]5 - 2x = ln(6) [/tex]
[tex]2x = 5 - ln(6) [/tex]
[tex]x = \frac{5 - ln(6) }{2} [/tex]
y = 6
What is the value if X?
A) 16
B) 30
C) 8
D) 15
A step by step analysis would be greatly appreciated but a simple answer will do as well.
Answer:
[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]
Q. What do you mean by circumference ?
Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.
Q. What do you mean by chord ?
Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.
[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]
Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
a suit is on sale for 15% off. the sale price is $442. what is the regular price?
Answer:
520
Step-by-step explanation:
100% - 15% = 85%
85% of the original price is 442 dollars
100% = x
solve for x:
x * 0.85 = 442
x= 520 dollars
regular price is 520 dollars.
Pls help, I will give 50 points
1) Give 5 examples of a difference of two perfect squares
2) Give the factors of your examples
3) What do you call the factors of a difference of two perfect squares?
please help me
ᴀɴsᴡᴇʀ:
1.Example, x²-25 can be factored as (x+5)(x-5).
2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!
☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎
Here are the first five terms of a sequence. 4, 11, 22, 37, 56 Find an expression, in terms of , for the th term of this sequence.
Answer:
[tex] a_n = 2n^2 + n + 1 [/tex]
Step-by-step explanation:
4, 11, 22, 37, 56
11 - 4 = 7
22 - 11 = 11
37 - 22 = 15
56 - 37 = 19
After the first difference, 11 - 4 = 7, each difference is 4 more than the previous difference.
Difference of differences:
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
Since we need the difference of differences to find a constant, this must be a second degree function.
[tex] a_1 = 4 = 2^2 + 1(0)[/tex]
[tex] a_2 = 11 = 3^2 + 2 = 3^2 + 2(1) [/tex]
[tex] a_3 = 22 = 4^2 + 6 = 4^2 + 3(2) [/tex]
[tex] a_4 = 37 = 5^2 + 12 = 5^2 + 4(3) [/tex]
[tex]a_5 = 56 = 6^2 + 20 = 6^2 + 5(4)[/tex]
[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]
[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]
[tex] a_n = n^2 + 2n + 1 + n^2 - n [/tex]
[tex] a_n = 2n^2 + n + 1 [/tex]
what is the answer of this questoin 2c-3b+6+7b-2b+11?
Answer:
[tex]2c+2b+17[/tex]
Step-by-step explanation:
-----------------------
Given:
[tex]2c-3b+6+7b-2b+11[/tex]
---------->>>>
Collect like terms.
[tex]2c+(-3b+7b-2b)+(6+11)[/tex]
---------->>>>
Simplify
[tex]2c+2b+17[/tex]
------------------------
Hope this is helpful.
Answer:
2c-2b+17 if using algebra
Step-by-step explanation:
firstly group like terms 2c+(-3b)+7b-2b+6+11
2c-2b+17
Is the product of two prime numbers a prime number or a composite
number?
Step-by-step explanation:
No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.
Answer:
a composite one
Step-by-step explanation:
Why?
It is easy-peasy.
First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.
For example, 3 is a prime. 7 is a prime. Multiply them and get 21.
I hope it helped:)
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Rectangle shaped cross section is formed by intersection of plane and prism.
Step-by-step explanation:
Given: A rectangular Prism.
To find: Shape of Cross Section when a plane intersect the prism diagonally
A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
Do you agree? Explain why or why not.
Answer:
if x = 4
[tex]\sqrt{8 + 1} + 3 = 0[/tex]
[tex]\sqrt{9} + 3 = 0[/tex]
3 + 3 = 0
6 = 0
wrong.
Find x
Help me please
Answer:
19
Step-by-step explanation:
Can someone help with 3 and 9
Answer:
9= 512m/1000m
SIMPLIFY IT
Step-by-step explanation:
What is the exact value of tan (9 pi)/12
Answer:
tan(9pi/12) = 0.041146549
Step-by-step explanation:
Find the area of the rhombus
Answer:
60 u²
Step-by-step explanation:
Finding second diagonal :-
d' = √{ 17² - 8²} d' = √{ 289 - 64 } d' = √{ 225 } d' = 15 uUsing formula :-
A = 1/2 * d * d' A = 1/2 * 15 * 8 A = 15 * 4 u²A = 60 u²(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2
Answer:
Area = 36 squ. unit
Step-by-step explanation:
According to the Question,
Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).
Therefore, the area of this polygon isArea = 1/2 * (sum of opposite side) * height
Area = 1/2 * (7+5) * 6
Area = 3*12
Area = 36 squ. unit
Answer:
36
Step-by-step explanation:
I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125
Answer:
think it is D
Step-by-step explanation:
look at the X axis and the number at the Y axis
The equation best models the relationship between x and y is y=-5x+125.
We have given that,
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.
We have to determine the equation best models the relationship between x and y.
What is the equation best models the relationship?
The three main ways to represent a relationship in math are using a table, a graph, or an equation.
The X-axis and the number at the Y-axis.
Therefore, The equation best models the relationship between x and y is y=-5x+125.
To learn more about the graph visits:
https://brainly.com/question/4025726
#SPJ2
Pick the correct graph and equation pleasee!
Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups
Flour required for each signature cake = [tex]1.5[/tex] cups
Flour required for c signature cakes = [tex]1.5c[/tex] cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
[tex]F=30-1.5c[/tex]
At [tex]c=0[/tex], we get
[tex]F=30-1.5(0)[/tex]
[tex]F=30[/tex]
At [tex]F=0[/tex], we get
[tex]0=30-1.5c[/tex]
[tex]1.5c=30[/tex]
[tex]c=\dfrac{30}{1.5}[/tex]
[tex]c=20[/tex]
Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.
Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.
Answer:
there are 2 apples in the basket
there are 10 banana in the basket
Step-by-step explanation:
According to the Question,
We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.let x for apple And y for banana So, x+y=12---Equation 1
And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.Thus, 5x+7y=80 ----Equation 2
Now, (Equation 1) × 5 Subtract with (Equation 2) We get,
2y = 20 ⇒ y=10 (there are 10 banana in basket)
Put value of y=10 in Equation 2 we get5x+70=80 ⇔ x=2(there are 2 apples in basket)
If you sell 25 items at $150 a piece and your commission rate is 40%, how
much commission do you earn?
Answer: 1500 dollars.
Step-by-step explanation:
25 * 150 = 3750 (dollars) - total sale amount;
3750 : 100% * 40% = 1500 (dollars) - commission.
