All categories

3 years ago

How to solve 10 = 1\3( x - 15 )

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

x=45

Step-by-step explanation:

In order to solve for x, you would need to get the variable by itself. First, we would divide 1/3 on both sides.

10 = 1/3 (x - 15)

10 / (1/3) = (x - 15)

30 = x - 15

Then we would add 15 to both sides.

45 = x

Then, we can check our work by plugging the value of x into the original equation.

10 = 1/3 (x - 15)

10 = 1/3 (30)

10=10

The correct answer is x = 45

You might be interested in

What is the square root of -16?<br> 0-81<br> 041<br> OO

Nady [450]

Answer:

4 i

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the

Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is $D=154 cm$

Wavelength $\lambda =348 nm$

Angle between zeroth order bright fringe and Fourth-order bright fringe is $\theta =13.5^{\circ}$

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

$y_n=\frac{nD\lambda }{d}$

Also $\tan \theta =\frac{y_4}{D}$

$y_4=\tan (13.5)\cdot 1.54$

$y_4=0.24\times 1.54$

$y_4=0.369 m$

5 0

3 years ago

Assume that the mean length of a human pregnancy is 269 days. If 95% of all human pregnancies last between 249 and 289 days, w

o-na [289]

Answer:93% not sure

Step-by-step explanation:

7 0

2 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,800. Suppose the value of your car decreased at a constant rat

Sonbull [250]

Answer:

g(t) = 10000(0.938)^t

Step-by-step explanation:

Given data:

car worth is $10,000 in 2012

car worth is $8000 in 2014

let linear function is given as

P(t) = at + b

which denote the value of car in year t

take t =0 for year 2012

at t =0, 10,000 = 0 + b

we get b = 10,000

take t =2 for year 2014

at t =2, P(2) = 2a + b

8800 = 2a + 10,000

a = - 600

Thus the price of car at year t after 2012 is given as p(t) = -600t + 10000

let the exponential function $p(t) =ab^2$ where t denote t = 0 at 2012

putting t = 0 P(0) = 10,000 we get 10,000 = ab^0

a = 10,000

putting t = 2 p = 8800

$8800 =ab^2$

$b^2 = \frac{8800}{10000}$

b = 0.938

g(t) = 10000(0.938)^t

3 0

3 years ago

What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)

mina [271]

Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5

8 0

3 years ago