The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?

Answers

Answer 1

Answer:

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.


Related Questions

At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?

A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt

B. Teen Tops is the better buy because the packages has more T-shirts

C. Bargain City is the better buy because $34 is less than $38

D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt

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D

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Answer:1/9

Step-by-step explanation:

A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.

Answers

Answer:

The rock takes 4.18 seconds to hit the ground

Step-by-step explanation:

Function Model

The height of a rock h, after t seconds, can be modeled by the polynomial function:

[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]

When the rock hits the ground, the height is 0, thus we need to find the value of t such as:

[tex]-4.9t^2+20t+2=0[/tex]

A quadratic equation can be expressed as:

[tex]at^2+bt+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The values for the given equation are:

a=-4.9, b=20, c=2

Applying the formula:

[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]

[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]

[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]

There are two possible solutions:

[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]

[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]

Since t > 0, the only solution is t=4.19 seconds

The rock takes 4.18 seconds to hit the ground

Which of the following statements is not true about the relationship

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Answer:

C

Step-by-step explanation:

your grocery bill before taxes was $265.24 you have to pay 7.3% sales tax how much is your total grocery bill​

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Answer:

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Step-by-step explanation:

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Which Expression has a value of 2/3​

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Answer:

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Step-by-step explanation:

what is the answer of 3x-5>1/2x+8x?

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Answer:

x < -10/11

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Explanation:

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Answer:

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There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?


Question 1 options:


A. 200,000,000 times greater



B. 2,000,000 times greater



C. 50,000,000 times greater



D. 5,000 times greater

Answers

Answer:

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Step-by-step explanation:

big number

Answer:

D

Step by step explanation:

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Which relation is a function?

Answers

Answer: B

Step-by-step explanation:

Answer: is B Explanation: because a function is a relation in which no two ordered pairs have the same first element! :)

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Answers

1/4x+6.5 decimal form 0.25x+6.5
or
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Answers

Answer:

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Step-by-step explanation:

A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.

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Answer:

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Step-by-step explanation:

Please help! A line has a slope of -2 and a y-intercept of -3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.

Answers

Answer:

2. -1.5, 0

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5. 3, -9

Step-by-step explanation:

Given parameters:

    Slope  = -2

    y - intercept  = -3

Unknown:

The point that lies on the line  = ?

Solution:

 To do the equation of the line,

        y  = mx + c

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The boldened coordinates line on the same line.

   

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Answers

slope intercepetion by aerodynamic

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What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

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y is the coordinate of the y-axis,

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Learn more about Equation of Line:

https://brainly.com/question/21511618

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Step-by-step explanation:

-7x - 6y = 4

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Answers

Answer

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Step-by-step explanation:

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GRAPH ATTACHED

Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation: 1 + 3(4n + 6)

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Answers

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Answers

Answer:

-6r-18g+6t

Step-by-step explanation:

Answer:

18g−6r+6t

PLEASE GIVE BRAINLIEST I EVEN EXPLAINED IT

Step-by-step explanation:

−6(r+3g−t)

=(−6)(r+3g+−t)

=(−6)(r)+(−6)(3g)+(−6)(−t)

=−6r−18g+6t

=−18g−6r+6t

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