Assume that y varies directly with x. If y = -5 when
X = 12.5, find x when y=15. Enter in any fractions
using a / (e.g. "1/2" is the same as 1/2

Answers

Answer 1

Answer:

Thus, the value of x = -36 when y = 15

Step-by-step explanation:

We know that if y varies directly with x, we can express the relationship such as

y ∝ x

y = kx

k = y/x

where 'k' is called constant of variation.

Given

y = -5

x = 12

Using the equation

k = y/x = -5/12

Thus, the value of k = -5/12

Finding x when y = 15

y = 15

k = -5/12

substituting y = 15 and k = -5/12 in the equation

y = kx

15 = -5/12 (x)

15×12 = -5x

180 = -5x

divding both sides by -5

-5x/-5 = 180/-5

x = -36

Thus, the value of x = -36 when y = 15


Related Questions

Estimate the cost of painting the inner
wall of a well, if the depth of the well is
14 ft and the diameter is 8 ft. The cost of
painting 2.5 sq. ft is 20.​

Answers

Answer:

2816 rupees

Step-by-step explanation:

here , depth = 14 ft

diameter = 8 feet

so , radius = 4 ft

We will paint it in its C.S.A.

C.S.A. of a cylindrical well

= 2πrh

= 2×(22/7)× 4 × 14

= 352 ft²

so,

cost = rate per unit area × area

= (20/2.5)×352

= 8×352

= 2816

so,the cost of the painting will be 2816 rupees

Find the x and y intercepts of the line 2y = 4x - 5

Answers

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

The slope is 2 and the y-intercept is ( 0, -5/2 )

if a+2b/3=2/c^9
what is 4/b

Answers

Answer:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Step-by-step explanation:

Given the expression

[tex]a+\frac{2b}{3}=\frac{2}{c^9}[/tex]

subtract a from both sides

[tex]a+\frac{2b}{3}-a=\frac{2}{c^9}-a[/tex]

Simplify

[tex]\frac{2b}{3}=\frac{2}{c^9}-a[/tex]

Multiply both sides by 3

[tex]\frac{3\cdot \:2b}{3}=3\cdot \frac{2}{c^9}-3a[/tex]

Simplify

[tex]2b=\frac{6}{c^9}-3a[/tex]

Divide both sides by 2

[tex]\frac{2b}{2}=\frac{\frac{6}{c^9}}{2}-\frac{3a}{2}[/tex]

Simplify

[tex]b=\frac{6-3ac^9}{2c^9}[/tex]

Calculating 4/b

[tex]\frac{4}{b}=\frac{4}{\frac{6-3ac^9}{2c^9}}[/tex]       ∵ [tex]b=\frac{6-3ac^9}{2c^9}[/tex]

[tex]\frac{4}{b}\:=\frac{4\:\times \:\:2c^9}{6-3ac^9}[/tex]

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Therefore, we conclude that:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)

Answers

If $600=6 tons
$600=6*2000
$600=12,000
12000/$600=$20

It’s $20 per pound

Which one do I have to chose

Answers

Answer:

The top one I think

Step-by-step explanation:

Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their times expressed as a fraction of a second?

Answers

Answer:

1 / 20

Step-by-step explanation:

Brian = 11.74 seconds

Luis = 11.69 seconds

Difference between their times :

11.74 - 11.69 = 0.05

Expressed as a fraction of a second :

0.05 / 1 = (0.05 * 100) / (1 * 100) = 5 /100 = 1/20

What is the slope of the line that passes through the points (−4,−3) and (14,0)?

Answers

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -3)

Point (14, 0)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition:                                   [tex]m=\frac{3}{18}[/tex]Simplify:                                                   [tex]m=\frac{1}{6}[/tex]

Can someone please help this these

Answers

Answer:

To the first picture: it's 9

To the second: its sin3/5

Step-by-step explanation:

This would take some time to explain so I'll keep it brief

Pic 1) process of elimination through cos

Pic 2) You divide the opposite by the hypotenuse to get the degree of angle x

Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?


plzplz plz answer

Answers

Answer:

98,635

Step-by-step explanation:

PLEASE HELP ASAP
What is the solution to the system of equations graphed below?
y = 3x + 2
y = -2x - 3

Answers

Answer: x = -1; y = -1

y = 3x + 2

y = -2x - 3

⇔ y = 3x + 2

   3x + 2 = -2x - 3

⇔ y = 3x + 2

    5x = -5

⇔ y = 3x + 2

    x = -1

⇔ y = -1

    x = -1

Step-by-step explanation:

Please help due in 10 minutes

Answers

2x + 46 is your answer
2x+46 should be the answer! :)

Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

Solve the following: 5(2x+1)=50

Answers

Answer:

x = 9/2

Step-by-step explanation:

Answer:

x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

Given

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

Find all possible solutions for x such that △ABC is congruent to △DEF.

△ABC: sides length 7, 9, x
△DEF: sides length 7, 10, x − 1
The solution is x =

Answers

Answer:

how many times did you post this?

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

y = x - 4 and y = 4x + 2

=> x - 4 = 4x + 2

=> 3x = -6

=> x = -2

y = x - 4 = (-2) - 4 = -6

The solutions are x = -2 and y = -6.

Answer:

x = -2

y = -6

Step-by-step explanation:

y = x - 4

y = 4x + 2

y = y

then:

x-4 = 4x+2

x - 4x = 4 + 2

-3x = 6

x = 6/-3

x = -2

y = x - 4

y = -2 - 4

y = -6

This scatter plot and line of best fit shows the relationship between the height and the mass of 15 different dog breeds.The circled point in the scatter plot correspond to Afghan Hound.What conclusion can be drawn about the predicted mass and the actual mass of Afghan hound?

Answers

Answer:

A

Step-by-step explanation:

Geometry help please explain

Answers

Answer: 11

Step-by-step explanation: SAS Postulate states that any two triangles that share the same Side, Angle, Side, are congruent. Since those two triangles share the side length of 5, and then a 90 degree right angle, and the side PM every corresponding side and angle with equal each other. Such as side MN and ML.

The data show the number of viewers for television stars with certain salaries. Find the regression​ equation, letting salary be the independent​ (x) variable. Find the best predicted number of viewers for a television star with a salary of ​$33 million. Is the result close to the actual number of​ viewers, 3.03.0 ​million? Use a significance level of 0.05.

Answers

Answer:

y = 5.064 - 0.010x

Here, in this question x = 33

y = 4.734 million views

In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.

Step-by-step explanation:

First of all, this question is incomplete. It lacks the data needed to calculate the required things.

So, I  figured out the question and I will try my best to solve the question at hand.

I have calculated the some data sheet in excel. Please refer to the attachment for that data.

let a be the salaries

b be the viewers

[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex]  - [tex]\frac{ Summtion a^{2} }{n}[/tex]

[tex]S_{aa}[/tex] = 7522.8571

[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex]  - [tex]\frac{ Summtion b^{2} }{n}[/tex]

[tex]S_{bb}[/tex] = 47.1943

[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex]  - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]

[tex]S_{ab}[/tex] = -76.8286

Now the slope of the required regression equation is:

Slope =  [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010

And the intercept of the required regression equation:

intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064

So, the regression equation will be:

y = intercept + slope x

y = 5.064 - 0.010x

Here, in this question x = 33

y = 5.064 - 0.010 (33)

y = 4.734 million views

Find the value of X.....

Answers

Answer:

64

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

46      46 + 46

----- = -------------

32           x

Then 46x = 2(46)(32), and so x works out to 64.

Answer:

64

Step-by-step explanation:

Hope this helped :)

Someone deleted some of my answers even though they were correct.  I don't know why.

What is the additive inverse of 9x-15

Answers

Answer:

[tex]-9x+15[/tex]

Step-by-step explanation:

[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]

Which expression is equivalent to 2 (t - 4) + 1

Answers

Answer:

Step-by-step explanation:

here you go

step 1

2 (t - 4) + 1  equation

step 2

2 (t - 4) + 1  simplify

2t+-8+1

step 3

2t+−8+1  combine terms

answer

2t-7

can you give brainliest if you dont mind

Derrick has a total of 9 nickels and quarters in his pocket. The total amount of money he has in coins is $1.45.

How many nickels and how many quarters does Derrick have?

Answers

Answer:

Derrick has 5 quarters and 4 nickles

Step-by-step explanation:

your welcome :D

Figure ABCD is a parallelogram. use what you know about the properties a parallelograms to solve for x and find the measures of

Answers

Answer:

Step-by-step explanation:

opposite angles are congruent

I need the answer right now please help me

Answers

Answer:

P+Q+R+S+T=540. then substitute x for result in p

Step-by-step explanation:

i would work it out but im lazy sorry

In a pentagon, there are 540 degrees

First, find x.

Set up the equation

132 + (4x+2) + 128 + (5x -11) + (4x - 10) = 540

Combine like terms

260 +13x -19 = 540

241 + 13x = 540

solve

13x = 299

x = 23

Now plug x in to angle p (4x + 2)

4(23) + 2

92 + 2 = 94

Therefore angle P = 94 degrees

Please help with 8 the last question

Answers

Answer:

First choice, 25

Step-by-step explanation:

200 times 1/8 = 200/8 = 25

What is the constant of proportionality shown by the values in the table?

Answers

Answer:

Slope = 2.5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Krystal is comparing two internet service plans . Plan 1 costs $134.97 every 3 months. If krystal plans to stay with one service plans for 1 year, which which choose? How much will she save?

Answers

Answer: See explanation

Step-by-step explanation:

Here's the correct question:

Krystal is comparing two internet service plans. Plan 1 cost $34.99 per month. Plan 2 costs $ 134.97 every 3 months. If Krystal plans to stay with one service plan for 1 year which should she choose? how much will she save?

Cost of plan 1 per month = $34.99 per month. Therefore, the cost for the year would be:

= 12 × $34.99

= $419.88

Plan 2 cost $134.97 for 3 months. Therefore the cost for the year would be:

= 4 × $134.97

= $539.88

She would choose the first plan as it's cheapee. She would also save:

= $539.88 - $419.88

= $120

What is 40% of 500? Please help!!

Answers

Answer:

40/100 times 500=200

Step-by-step explanation:

IXL- 8th grade math- W.14

Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial set-up time. If it takes 41 minutes to screen-print a bath of shirts, how many shirts are in the batch?

Answer with the amount of shirts.

Answers

Answer:

There are 37 shirts in the batch.

Step-by-step explanation:

Since it takes an initial 4 minutes to set up the screen-printer, we can subtract 4 from 41 minutes to get the time used to print the shirts.

41 - 4 = 37

Since each shirt requires 1 minute of screen printing and there are 37 minutes, we can divide 37 by 1.

37 / 1 = 37

So there are 37 shirts in this batch. Hope this helps.

Which expression is equivalent to 1/3 p + 15 ?

Answers

[tex] \frac{1}{3} p + 15[/tex]

= 1/3(p + 45)

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