16. Supposes that y varies inversely with x and that y-10 whenx-7. Which of the following equations models this relationship? A. Y=70x
B. Y=-10x
C. Y=x/70
D. Y=70/x
Answers
The equation that models this relation is y = 70/x. So, option (D) is the correct answer.
What is constant of proportionality?
The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.
For the given situation,
The values are y = 10 and x = 7
y varies inversely with x.
⇒ ∝
To remove proportionality we introduce a constant 'k'.
⇒
Substitute the values of x and y,
⇒
⇒
Now substitute the value of k = 70 in y,
⇒
Hence we can conclude that the equation that models this relation is y = 70/x. So, option (D) is the correct answer.
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Hope that helped!;)
Related Questions
Given f(x)=3/4x and f(x) = 75 solve for x
a drawer has some red, green, and blue marbles. there are 33 marbles. there are 4 times as many red marbles as green marbles. there are half as many blue marbles as green marbles. how many blue marbles are in the drawer?
Choose the three fractions that are less than 4/8 A) 1/2 B) 1/4 C) 5/8 D) 1/3 E) 1/8 F) 3/4
What is the answer
Answers
Answer:
La fracción de bombones que se comieron entre los dos es
La caja tenía 40 bombones.
Step-by-step explanation:
Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:
Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.
En este caso, el mcm entre 5 y 2 es 10.
Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:
- 10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.
- 10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.
Entonces:
Ahora simplemente sumas los denominadores:
La fracción de bombones que se comieron entre los dos es
Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:
Restando de manera similar al procedimiento usado para la suma se obtiene:
Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?
cantidad total de bombones=40
La caja tenía 40 bombones.
twice the difference of a number and seven
The words "the difference of indicate
Key Words
Replace With
The expression is written as
twice
2x
the difference of
(
a number
n
seven
7
Answers
The answer is shown below:
- 2
- -
- 2(n-7)
What is expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it
A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Expression Definition in Math
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
- Constant: A constant is a fixed numerical value.
- Variable: A variable is a symbol that doesn't have a fixed value.
- Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
The complete statement is
The word "twice" means ( 2* )
The words "the difference of indicate (-)
The expression is written as
2( n-7)
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Answer:
The word “twice” means
✔ multiplication by 2
The words “the difference of” indicate
✔ subtraction in parentheses
The expression is written as
✔ 2(n – 7)
Step-by-step explanation:
Answers
Answer:
y = 4x
Step-by-step explanation:
Slope: (y-y)/(x-x) = (8-4)/(2-1) = 4/1 = 4
Point: (1,4))
y-y = m(x-x)
y - 4 = 4(x - 1)
y - 4 = 4x - 4
y = 4x - 4 + 4
y = 4x
Answers
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation:
Answers
annual income = (8.90)(40)(52)
annual income = 18512
sin
Answers
9514 1404 393
Answer:
sin(63°) = 0.891
Step-by-step explanation:
The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.
sin(63°) = 0.891