Answer:
y = 7x and y = 28
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 56 when x = 8 , then
56 = 8k ( divide both sides by 8 )
7 = k
y = 7x ← equation of variation
When x = 4
y = 7 × 4 = 28
1. Students were surveyed and asked if they play lacrosse and/or football. The results are shown below.
What percent of football players also play lacrosse?
36%
Step-by-step explanation:
28 + 16 = 44 Football players
Of those, 16 are on the lacrosse team.
16 / 44 × 100 = 36.36% (We round to 36%)
To verify:
44 × 36.36% = 15.84 (Which we can round to 16)
Pardon me if it's wrong
someone PLS help me .. i believe this needs a quadratic formula?
Hello,
The parabola has vertex=(0,1) and is passing through (1,3)
y=k(x-0)²+1
3=k*1+1 ==> k= 2
y=2*x²+1
if 3/4 of a number is added to 5/4 it gives the same result as taking 7/8 of the number from 20 ⅓. Find the number
Given:
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
To find:
The unknown number.
Solution:
Let x be the unknown number.
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]
Multiply both sides by 24.
[tex]6(5+3x)=488-21x[/tex]
[tex]30+18x=488-21x[/tex]
[tex]18x+21x=488-30[/tex]
[tex]39x=458[/tex]
Divide both sides by 39.
[tex]x=\dfrac{458}{39}[/tex]
Therefore, the required number is [tex]\dfrac{458}{39}[/tex].
What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?
Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable?
Answer:
The random variable is discrete. :)
Step-by-step explanation:
Evidencia de aprendizaje Se desea obtener 80 kilogramos de café molido mezclando café arábico de S/18 el kilogramo y café torrado de S/10 el kilogramo. Si se quiere que el precio del kilogramo de mezcla sea de S/13, ¿Qué cantidad de café de S/18 debe usar? Responde las siguientes preguntas: ¿Qué estrategias utilicé para validar la solución al sistema de ecuaciones? ¿Para qué me servirá lo que aprendí?, ¿Qué dificultades encontraron en este aprendizaje? A partir de la situación planteada ¿A qué conclusión puedo llegar?
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.
Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años
Answer:
The interest for the two years is 144.
Step-by-step explanation:
Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years
Principal, P = 240
Interest, R = 30 %
Time, t = 2 years
The simple interest is given by
[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]
Plss Answer!!!!!!!!!
Answer:
Ecosystem: Trees
Ways to protect are as follows:-
Control over Forest FireDon't waste paper. Plant a treeWhat is the answer to 3/4 x 1/2
What is the answer to 3/4 x 1/2?
Answer : 0.375
Answer:
3/8
Step-by-step explanation:
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ..
Answer:
b . is the answer
Step-by-step explanation:
ha ahhgahga
please help i don’t have much time left !!!
Answer:
8.5
Step-by-step explanation:
QR is 10
PQRS AREA is 45
10 times 4.5 is 45
meaning BC and PQ is 4.5
4.5 plus 4.5 is 9
26 minus 9 is 17
17 divided by two is 8.5
AB is 8.5
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
Answer:
Profit % = 11,11 %
Step-by-step explanation:
Answer:
14% profit on shirt/skirt?...
actually as written the question can not be answered....
the start of the problem has gloves, and SHIRT... at the end you want the
profit on a SKIRT
Step-by-step explanation:
gloves sold for 8
shirt sold for 40
.2(48) = 9.60 profit
9.60 - 4 = 5.60 profit of shirt
x(40) = 5.60
14% profit on shirt
Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)
Given:
[tex]u=(-1,4)[/tex]
[tex]v=(3,-2)[/tex]
The equation is:
[tex]t=u+v[/tex]
To find:
The ordered pair to represent t in the given equation.
Solution:
We have,
[tex]t=u+v[/tex]
Substituting the given values, we get
[tex]t=(-1,4)+(3,-2)[/tex]
[tex]t=((-1)+3,4+(-2))[/tex]
[tex]t=(-1+3,4-2)[/tex]
[tex]t=(2,2)[/tex]
Therefore, the ordered pair to represent t in the given equation is (2,2).
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
i dont know
Step-by-step explanation:
figure it out yourself
if demand is 75 lakh setup and holding cost is 29 and 35 number of piece per order is 2.3 lakh printing is done 300 days and delivery within 2 days what is eoq
A
64 :) i think
Step-by-step explanation:
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
Answer:
the answer is C
Step-by-step explanation:
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
A circle is centered at the point (5,-4) and passes through the point (-3, 2). what is the equation of this circle?
Answer:
(x-5)² + (y+4)² = 100
Step-by-step explanation:
The formula for calculating the equation of a circle is expressed as;
(x-a)² + (y-b)² = r² where:
(a,b) is the centre of the circle
r is the radius
Get the radius using the distance formula;
r = √(2-(-4))²+(-3-5)²
r = √6²+(-8)²
r = √36+64
r =√100
r² = 100
Since a = 5 and b = -4, on substituting into the formula;
(x-5)² + (y+4)² = 100
This gives the required equation
Answer:
(x-5)² + (y+4)² = 100
Step-by-step explanation:
Just got it correct on Edmentum test.
Find the domain and range for each of the relations described by the sets of
ordered pairs below.
4. (-1, 2), (2, 51), (1,3), (8, 22), (9,51)
Domain:
Range:
Answers:
Domain = {-1, 2, 1, 8, 9}
Range = {2, 51, 3, 22}
==================================
Explanation:
The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.
The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.
Side notes:
This is a function since we don't have any repeated x values between any of the points. This graph passes the vertical line test.This function is not one-to-one because we have y = 51 correspond to multiple x values (x = 2 and x = 9 simultaneously). This graph fails the horizontal line test.The number of strokes in which a hole is designed to be played. [ Choose ] The person who is farthest away from the hole is said to have _____.
Answer:
the answer is more strokes since the farther away you are the more strokes it takes
Hope This Helps!!!
FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
x > 23/5
Step-by-step explanation:
2x+ 3(x+2)>17
2x + 3x + 6 >17
5x >23
x > 23/5
Johnny asks you to guess the specific coins he has in his pocket if he has $3.70 in change. You say you need a little
more information, to guess. So he tells you all he has is quarters and dimes and that he has 22 colns in all.
Answer:
10 quarters and 12 dimes :)
Step-by-step explanation:
15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you see regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers
Answer:
Step-by-step explanation:
I am sort. I have no idea
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
if the measure of angle def is 65° what is the measure of arc de?
EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
Answer:
130
Step-by-step explanation:
Which property does each equation demonstrate?
x2 + 2x = 2x + x2
If P=36 inches, find x and find the area
Answer:
x=4 Area = 56
Step-by-step explanation:
find x :
36 = 2 (3x + 2 + x) (simplify)
36 = 2 (4x+2) (divide both sides by 2)
18 = 4x + 2 (solve)
16 = 4x
4 = x
Find Area Substitute value of x
A= l × w
A = (3x + 2) × (x)
A = (3 × 4 + 2) × (4)
A = (12 + 2) × 4
A = 14 × 4
A= 56
hope this helps :)
Which equation could be used to solve for the value of n if n + 2 = 6?
O2 + 6 = n
O 2-6 =n
O 6 +2=n
06-2=n
d
Step-by-step explanation:
6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign
I need help figuring out what the answer is.
Answer:
A
Step-by-step explanation:
The prime factorization of K is: K = 3x5x7. List all the composite factors of K.
Answer:
15, 21, 35, 105
Step-by-step explanation:
A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.
So, if we multiply 3x5x7=105
All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are
15, 21, 35, 105
The list all the composite factors of K : 15, 21, 35, 105
What is prime integer?"It is an integer that has only two different factors 1 and that integer itself."
What is prime factorization of a number?"It is a method to find the prime factors of a given number."
What is composite integer?"It is an integer that has more than two different factors. "
For given question,
The prime factorization of K is:
K = 3 × 5 × 7
This means the number K is, 3 × 5 × 7 = 105
The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.
We need to list all the composite factors of K.
From above factors of 105 we can observe that,
15 has factors 1, 3, 5, 15;
21 has factors 1, 3, 7, 21;
35 has factors 1, 5, 7, 35;
and 105 has more than two factors factors as mentioned above.
This means, the numbers 15, 21, 35 and 105 are composite numbers.
Therefore, the list all the composite factors of K : 15, 21, 35, 105
Learn more about the prime factorization of number here:
https://brainly.com/question/22692933
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