The value of y varies directly with x. When y = 85, x = 14. What is the value of y when x is 112?

Answers

Answer 1

Answer:

y = 679.952

Step-by-step explanation:

It is given that, the value of y varies directly with x.

y₁ = 85, x₁ = 14

[tex]y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071[/tex]

We need to find the value of y when x is 112.

[tex]y=k\times x\\\\=6.071\times 112\\\\y=679.952[/tex]

So, the value of y is 679.952 when x is 112.


Related Questions

how do you find the hypotenuse

Answers

Given two right triangle legs
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)

You have 18 pictures to paste to a poster. You want to arrange them on the poster in rows so that there are an equal number of pictures in each row.

a. How many rectangular arrangements are possible? List them.

b. You decide to have no more than 10 pictures in any row or column. How many rectangular arrangements are possible now? List them.

Answers

Answer:

no idea too hard but try  math          way

Step-by-step explanation:

i don’t feel like doing this so please help

Answers

The answer to this is 89%

WILL GIVE BRAINLIEST (two questions but points)

Write the expression as a cube of a monomial: 0.008y^21
Write the expression as a monomial in standard form: (−3xy^2)^3 · (− 2/3x^2y^3)^4

Answers

Answer:

The answer to the first question is (0.2y^7)^3

Step-by-step explanation:

The expression (0.2 × y⁷)³ is a cube of a monomial in standard form and the expression (16/3)x¹¹y¹⁸ is a monomial in standard form.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression below which is given in the question

0.008y²¹

We have to write the given expression as a cube of a monomial in standard form

0.008y²¹

0.2 × 0.2 × 0.2 × y⁷× y⁷× y⁷

(0.2 × y⁷)³

The above expression is a cube of a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

We have to write the given expression as a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

(−3x)³(y²)³· (− 2/3x²)⁴(y³)⁴

x³y⁶· 16/3x⁸y¹²

(16/3)x³⁺⁸y⁶⁺¹²

(16/3)x¹¹y¹⁸

The above expression is a monomial in standard form.

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help me please, I don’t understand

Answers

it's 106° because those the angle given and the angle they're asking for are corresponding angles

Daniel is looking at two different credit card offers. Credit Card A will give him an APR of 22.45%. Credit Card B will offer will be 1.25% each month. Which the better deal?

Answers

Answer:

Credit card B is a better deal

Step-by-step explanation:

in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.

convert credit card A's APR to monthly rate:

= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better

OR

convert credit card B's monthly rate to APR:

= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better

−11 − 15 Group of answer choices -26 26 -4 4

Answers

-26 is ur answer. hope this helps!

Answer:

-26

Step-by-step explanation:

-11 - 15 = -26

I hope this helps!

who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

Answers

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

help me plz idk this at all

Answers

Step-by-step explanation:

sin theta = opp / hyp

sin theta × hyp = opp

sin60 × 30 = opp

.866 × 30 = opp

25.98° = opp

*Theta is the 0 with a line through it

Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)

Answers

Answer:

y= -1/2x+5

Step-by-step explanation:

u just have to use the y=mx+b form and youll be good

A relation is
i don't know this answer somebody please help

Answers

it is a factory that links two thing together

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

What is (f.g)(x)?
f(x) = -2x + 4
g(x) = -x

Answers

Answer:

fog=f[g(x)]

=f[-x]

=-2x+4

roduct of 0.42 * 0.2

Answers

Answer:

0.084

Step-by-step explanation:

0.42 * 0.2 = 0.084

Complete the equation describing how x and y are related.

Answers

X is horizontal while y is vertical

-2-(x-3)=-4
What does x equal?

Answers

Answer:

x = 5

Step-by-step explanation:

-2 -(x-3) = -4  

 You have to switch the signs into their opposites when you have -(?)

-2 - x + 3 = -4              Add liked terms

-x + 1 = -4              

    - 1   - 1                     Subtract 1 from both sides

-x = -5                         Get rid of the negative in the x

/-1   /-1                          Divide -1 from each sides

x = 5

-2(x-3)=-4
Y-3=2
x=2+3
x=5

PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10

K=?

Answers

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

which coordinate is a solution for the system containing the equations y=x+3 and y=4x?

Answers

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = 4x → (2)

Substitute y = 4x into (1)

4x = x + 3 ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4x = 4 × 1 = 4

Solution is (1, 4 )

In the graph shows Nick’s Bike ride from home to his grandparents and then returning home. Which intervals show Nick’s distance from home increasing?

A). Interval A and B
B).interval D and F
C).interval C and E
D).interval A,B,C and E

Answers

Option A is the correct answer; i.e. interval A and B.

What is Distance?

The distance between two points is the length of the path connecting them.

Here, from the given graph, we can conclude that

A and B show the distance Increasing, the line is going up so as time has passed he is getting far to his house. Continuously 1 hour 45 mins he increases hi distance without staying anywhere.

Thus, Option A is the correct answer; i.e. interval A and B.

Learn more about Distance from:

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Answer:

Interval C and E are constant

Step-by-step explanation:

A function is constant if as x increases ( from left to right), y stays the same.

I'LL GIVE BRAINLIEST! What property could you use to show that triangles PQR and XYZ are congruent? A) SSS B) HL C) SAS D) ASA

Answers

Answer: HL

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles are congruent.

el área de un terreno rectangular es de 616 metros cuadrados si el largo del terreno mide 6 m más que el ancho cuáles son sus dimensiones​

Answers

Answer:

length 28, width 22

Step-by-step explanation:

28 - 22 = 6, 28 x 22 = 616

PLS TO GOD HELP ME I GOTTA GET ALL OF THIS TURNED IN BY 11:59 IM PANICKING AND TIRED!!!!

Answers

it might be the first one or the second one. i said MIGHT!!

37.5 to the nearest degree

Answers

Answer:

38 degrees

Step-by-step explanation:

if it is half a tenth or more, it gets rounded up to the next degree

Answer:

38

Step-by-step explanation:

can some one help???
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown:

Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

A) Reflection about the x-axis followed by a translation to the right by 2 units
B) Reflection about the y-axis followed by a translation to the left by 2 units
C) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
D) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

Answers

Answer:

B

Step-by-step explanation:


Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)

Answers

Answer:

the x-intercept is (-10, 0) the y-intercept is (-45, 0)

Answer:

X intercept is (-10,0)

Y intercept is (0,-40.5)

Step-by-step explanation:

Hope this helps.

the volume of a cube is 125m find it's side​

Answers

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!!  :)

how do I know that l -32 l is greater or less than l 15 l​

Answers

When it is in between the two rods like that, it is a positive. So, in other words, these two numbers are:

32 and 15

What is more? 35, of course.

35>15

That is how! Hope I helped ya!

Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.

Answers

Answer:

y=45x+25

y = total cost and x = number of months.

What is the value of x in the equation 5 x + 3 = 4 x? –3 Negative one-third One-third 3

Answers

Answer:

?

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5 x + 3 = 4 x

5x+3-3=4x-3

5x=4x-3

subtract four from both sides=x=-3

x=-3 is your final answer!

Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances

Answers

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

Dilate line f by a scale factor of one half with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
(A) The locations of A' and B' are A' (0, 2) and B' (0, 0); lines f and f' intersect at point A.
(B) The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
(C) The locations of A' and B' are A' (0, 0) and B' (2, 0); lines f and f' intersect at point B.
(D) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.

Answers

Answer:

B. The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.

Step-by-step explanation:

Took the test

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