Ask question

Ask question

All categories

2 years ago

14

A computer is on sale for 80% of the original price. If the computer originally cost $400, what is its sale price?

2 answers:

Flauer [41]2 years ago

8 0

Answer:$80

Step-by-step explanation:

$400x0.80=$320 off

400-320=$80

Or

$400 x 0.20= $80 sale price

Dominik [7]2 years ago

4 0

Answer:

$320

Step-by-step explanation:

400*0.8(decimal form of 80%) = 320

You might be interested in

Which of the following has a constant of proportionality of 2?

denis-greek [22]

Linear fonction's equation : y = ax

So only in y = 2x
2 is the constant of <span>proportionality</span>

6 0

3 years ago

Read 2 more answers

James Ran 1/4 of a mile in the morning and then ran 2/8 of a mile that evening what was the distance James ran

Setler79 [48]

Answer:

1/2

Step-by-step explanation:

1/4=2/8

2/8+2/8=4/8=1/2

4 0

3 years ago

Consider the differential equation:

Wewaii [24]

(a) Take the Laplace transform of both sides:

$2y''(t)+ty'(t)-2y(t)=14$

$\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s$

where the transform of $ty'(t)$ comes from

$L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)$

This yields the linear ODE,

$-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s$

Divides both sides by $-s$ :

$Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}$

Find the integrating factor:

$\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C$

Multiply both sides of the ODE by $e^{3\ln|s|-s^2}=s^3e^{-s^2}$ :

$s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}$

The left side condenses into the derivative of a product:

$\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}$

Integrate both sides and solve for $Y(s)$ :

$s^3e^{-s^2}Y(s)=7e^{-s^2}+C$

$Y(s)=\dfrac{7+Ce^{s^2}}{s^3}$

(b) Taking the inverse transform of both sides gives

$y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]$

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that $\frac{7t^2}2$ is one solution to the original ODE.

$y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7$

Substitute these into the ODE to see everything checks out:

$2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14$

5 0

3 years ago

Help don't forget to put the work thank you

marysya [2.9K]

Answer:

<em>(J) </em>

Step-by-step explanation:

If the scale factor of dilation is greater than 1, the image is an enlargement.

If the scale factor of dilation is between 0 and 1, the image is a reduction.

6 0

3 years ago

Three fourths of x increased by 5 is - 7

Finger [1]

Answer:

$x=\frac{8}{3}$

Step-by-step explanation:

$\frac{3}{4} x+5=7$

Subtract 5 from both sides.

$\frac{3}{4}x+5-5=7-5$

Simplify.

$\frac{3}{4}x=2$

Multiply both sides by 4.

$4*\frac{3}{4} x=2*4$

Simplify.

$3x=8$

Divide both sides by 3.

$\frac{3x}{3} =\frac{8}{3}$

Simplify.

$x=\frac{8}{3}$

7 0

3 years ago