If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?

Answers

Answer 1

Answer: X = -9

Step-by-step explanation:

You can set up a ratio to solve this.

208/13 = -144/x

208x=-1872

x = -9

Answer 2
DIRECT VARIATION

[tex]\mathbb{ANSWER:}[/tex]

Step 1: Write the equation of variation

[tex]\sf y \propto x[/tex][tex]\sf y = kx[/tex]

Step 2: Solve for k or the constant of proportionality

[tex]\sf 208 = k(13)[/tex][tex]\sf \frac{208}{13} = \frac{k(13)}{13}[/tex][tex]\sf k = 16[/tex]

Step 3: Solve for x

[tex]\sf -144 = 16x[/tex][tex]\sf \frac{-144}{16} = \frac{16x}{16}[/tex][tex]\sf x = \boxed{\sf -9}[/tex]

Related Questions

Simplify 2(x – 4) – 3(x+2)

Answers

Answer: =−x−14

Step-by-step explanation:

2(x−4)−3(x+2)

Distribute:

=(2)(x)+(2)(−4)+(−3)(x)+(−3)(2)

=2x+−8+−3x+−6

Combine Like Terms:

=2x+−8+−3x+−6

=(2x+−3x)+(−8+−6)

=−x+−14

Which answer choice shows 7.08 rounded to the nearest half? A. 7 B. 7.5 C. 8 D. 8.5

Answers

Answer:

A. 7

Step-by-step explanation:

7

as only 0.08 away

7.5 is a large 0.42 away

Can two triangles with the same angle measures not be congruent?

Answers

Answer:

Yes, because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Answer:

Same Angles

because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Hope this Helps!

Find the size of the angle yzx. Give your answer to 3 significant figures

Answers

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinZ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then

∠ YZX = [tex]sin^{-1}[/tex] ([tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )

$1,600 at 4.5 % for 48 months

Answers

Answer:

Monthly Payment $36.49

Total Interest Paid $151.31

Total Paid $1,751.31

Step-by-step explanation:

A green light blinks every 4 seconds and a yellow light blinks every 5 seconds. When will both lights blink at the same time?

Answers

Answer:

20 seconds

Step-by-step explanation:

4 x 5 = 20

Answer:

20 seconds

Step-by-step explanation:

LCM 4 times 5 is 20 just think abt it

Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil should Lucas buy? Hint: you may have some leftover soil.
The garden is 4/3 yards by 9/2 yards

Answers

Answer:

3 bags

Step-by-step explanation:

4/3 x 9/2 = 36/6

36/6 = 6 square yards

so you will nee 3 bags of soil.

1. Evaluate algebraic expression for the given value of "y". 6y -5 for y =7

Answers

6 (7) = 42
-5
———
37

Screw hooks are used to hang plants and others decorations from walls and callings the graph shows the total mass in grams of a can based on the number of screw hooks in the can
Which of the following answers is the interpretation of the y-intercept of this graph and why explain ?
A. The mass of the can only
b. The mass of the 1 screw
C the mass of 10 screw hook
D the mass of the can and x screw books
Look at picture will give brainlist:)

Answers

Answer:

I think c I'm not to sure and ur hecka prettyyy

QUICCCKKK !!! what is (5x + 7) + (x+2)

Answers

i believe the answer would be 6x + 9

Answer:

6x + 9

Step-by-step explanation:

Hello!

First, remove the parenthesis:

5x + 7 + x + 2

Combine like terms:

5x + x + 7 + 26x + 9

The final expression is 6x + 9.

I need to know the step-by-step answer to this problem.

Answers

Answer:

42+8=50 inc

Step-by-step explanation:

It says that ty is shorter so you add 8 inches to get reese height

Answer:

50 inches tall

Step-by-step explanation:

R-8=42

r=reece height

the reason why you need to add is  becuase ty is shorter by 8 inches, so you need to add those 8 inches, if it said he was taller then you wouldve subtracted

hope this helps  

A CD usually sells for $13.00. If the CD is 30% off, and sales tax is 5%, what is the total price of the CD, including tax?

Answers

Answer:

$9.56

Step-by-step explanation:

$13.00 x .30 = 3.90

13.00 - 3.90 =  $9.10 x .05 = 0.46

$9.10 + 0.46 = 9.56

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal
distance from the y-axis to the same point. What is sino?
1/5 Sqrt5/5 2 sqrt5/5 2

Answers

Answer:

1/5

Step-by-step explanation:

PLEASE HELP MEEE I'm failing and I need to pass:(​

Answers

Answer:

girl/boy use photomath if ur failing or just use these.

Step-by-step explanation:

11. 5x^2-6x-12

12. 2x(4y+5x)

13.3y^2+16xy

if you need the rest use photomath I am sure it will come to the same answers I got.

HELP ME
ANSWER THIS QUESTION
DONT ANSWER WITH A LINK

Answers

reduce it
so 21/7 = 3/1

16/4=4/1

Answer:

3/1.....4/1

Step-by-step explanation:

Write the ratio 4/7 over 1/8 in simplest form. How is the simplest form of the ratio 4/7 over 1/8 related to the simplest form of the ratio 1/8 over 4/7

Answers

Answer:

Step-by-step explanation:

Ratio = 4/7 : 1/8

        [tex]=\frac{\frac{4}{7}}{\frac{1}{8}}\\\\=\frac{4}{7}*\frac{8}{1}\\\\=\frac{32}{7}[/tex]

       = 32 : 7

[tex]\frac{\frac{1}{8}}{\frac{4}{7}}=\frac{1}{8}*\frac{7}{4}\\\\=\frac{7}{32}[/tex]

= 7 : 32

Ratio 4/7 over 1/8  is the multiplicative inverse of the ratio 1/8 over 4/7

What are the zeros of the function f, where f(x)=6x^2-9x-6

Answers

Answer:

x=NEGATIVE 1/2, POSITIVE 2

Step-by-step explanation:

Just use math.waycom

The non-negative zero of the function f(x) is x = 2.

What are zeros  of quadratic function?

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

x = -b ±√b² - 4ac / 2a

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

x = 9±15 /12

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

To learn more on zeros of quadratic function click:

brainly.com/question/28822774

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11. The speed limit in a residential neighborhood is 35 miles per hour. This is one half
the speed of a major interstate highway a few miles away
What is the speed of the major highway?

Answers

Answer:

35*2 = 70

70 mph on the Major Highway

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

if 35 is half of x (x being the speed of a major interstate highway a few miles away) then this means [tex]\frac{x}{2} =35[/tex] you multipliy both sides by 2 to get x by its self and now have x=70

HELP GIVING BRAINIEST

1 If angle DAC is 40 degrees how many degrees is Angle ACD. Show all of your work. Show Your work​

Answers

Answer:

m<ACD = [tex]50^{o}[/tex]

Step-by-step explanation:

From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.

In the triangle ACD:

<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)

<ACD + 40 + 90 = 180

<ACD + 130 = 180

<ACD = 180 - 130

<ACD = [tex]50^{o}[/tex]

With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is [tex]50^{o}[/tex].

There is a total of 45 boys and girls in a choir.
The mean age of the 18 boys is 16.2 years.
The mean age of the 27 girls is 16.7 years.

Calculate the mean age of all 45 boys and girls.

Answers

Answer:

16.5 year

Step-by-step explanation:

Using, mean = sum/no. *of observations

Here,

=> 16.2 = (sum of ages of boys)/18

=> 16.2 x 18 = sum of ages of boys

=> 291.6 = sum of ages of boys

Similarly, sum of ages of girls = 27 x 16.7 = 450.9

Mean(total) = (sumof agesof boys + girls)/45

Mean = (291.6 + 450.9)/45 = 16.5

Answer:

The mean age of all 45 boys and girls is 16.5years

Step-by-step explanation:

Since the mean age of the 18 boys is 16.2years,

∴ Sum of their ages = 18 × 16.2

                                 = 291.6years

The mean age of the 27 girls is 16.7years

∴ Sum of their ages = 27 × 16.7

                                 = 450.9years

∴ Mean age of all 45 boys and girls = [tex]\frac{291.6 + 450.9}{45}[/tex] years

                                                           = [tex]\frac{742.5}{45}[/tex] years

                                                           = 16.5 years

∴ The mean age of all 45 boys and girls is 16.5 years.

A container can hold 18 litres of liquid. If there 7 2/3 litres of watee was poured into it, how much more water is needed to fill that container?​

Answers

Answer:

Step-by-step explanation:

1 full container = 18 Liters.

The amount in the container = 7 2/3

The amount left to go is 18 - 7 2/3

Now I don't know how you have been taught to do this, but I think the easiest way is to make 18 = 17 3/3  If you do that then the 5 will be subtracted from the 17 and the 2/3 will be subtracted from the 3/3

17 - 5 = 12

3/3 - 2/3 = 1/3

So the answer is 12 1/3

Identify the slope and y-intercept of the graph of the equation y=12x−5 . slope:__

Answers

The slope is 12 and the y-intercept is -5

Y=mx+b

Slope = m

y-intercept = b

Therefore the slope is 12 and the y-intercept is -5

The slope is 12 and y- intercept is -5.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y=12x−5

Now, from slope- intercept form

y = mx + b

where m is the slope and b is the y intercept.

Now, Comparing with given equation

m= 12 and b= -5

Hence, the slope is 12 and y- intercept is -5.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

z-16
27
Find the exact value of z.
Z=

Answers

Answer:

z = 43

Step-by-step explanation:

Answer:

z=43

Step-by-step explanation:

27 + 16 = 43

Hope this helps!

a tennis racket sells for 54$ at the spring clearance event, the price is 30% less than the original. what is the sale price

Answers

Answer:

$16.20 30% of 50 is 15 so divide 4 in the mix

if BA=8, DE=4 and CB=8, what is the length of EF?
a.4
b.8
c.16
d.6

Answers

Answer:

a) EF = 4

Step-by-step explanation:

CB/DE = BA/EF

8/4 = 8/EF

8EF = 4 x 8

EF = 4

Jasmine will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Jasmine will have at the end of x months. How many stamps was Jasmine given, and how many stamps will she buy every month?

A. Jasmine was given 65 stamps, and she will buy 5 stamps every month.

B. Jasmine was given 60 stamps, and she will buy 65 stamps every month.

C. Jasmine was given 5 stamps, and she will buy 60 stamps every month.

D. Jasmine was given 60 stamps, and she will buy 5 stamps every month

Answers

Answer:

It is D

Step-by-step explanation:

It could be A but if we read the sentence correctly than we should understand about the number of stamps she bought in every month and how much her grandmother gave her.We should also read the options more than 10 times to understand it

I REALLY NEED HELP ??

Answers

Answer: I believe it is 92

Step-by-step explanation:

Samuel spends $8 on lunch. The tax rate is 9%. What is his total cost?

Answers

Answer:

$8.72

Step-by-step explanation:

Since the tax rate is 9% of the lunch cost, the tax for this lunch is .72 dollars since 9% of 8 is 0.72(see math below). You add the 0.72 to 8 and the total cost is $8.72.

8 x (9/100) = tax

8 x 0.09 = 0.72

8+0.72 = $8.72

Write 45 cents as a percentage of 18 dollars

Answers

45 cents will be 8.1 percent of 18 dollars

The height of a doorway is 3 yards. What is the height of the doorway in inches? 1 yard = 36 inches

Answers

Answer:

108

Step-by-step explanation:

3*36=108

Answer:

108

Step-by-step explanation:

36x3

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