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3 years ago

Mike says he can find a fraction equivalent to 1/10, even through 1/10 is a unit fraction. Is mike correct? Explain

1 answer:

3 0

Yes.

1/10 is the most simplified version of a fraction with the same ratio. other fractions like 2/20, 3/30,..., 8/80 and so on are also equal to 1/10.

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A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters)

Katena32 [7]

Approximately 3.9 gallons I’m sure of

4 0

2 years ago

Sean bought 8 slurpees at $1.50 each and 6 popsicles. He gave the cashier $25.00 and received $4.00 change. How much did each Po

Lina20 [59]

Answer:

1.50

Step-by-step explanation:

8 x 1.50=12

25-12=13

13-4=9

9/6=1.5

8 0

2 years ago

When the function below is graphed, how many x-intercepts does it have?y = 4x2 - 12x + 9?

Sladkaya [172]

Only x-intercept because if you want to know about x-intercepts so y will be zero (y=0)
then 0 =4x^2 -12x + 9
0=(2x-3)(2x-3)
0=2x-3
so x=3/2 that is x-intercept

7 0

2 years ago

Read 2 more answers

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

Laura has a rectangular piece of wood that is 7in by 4in she wants to cover it with strips of ribbon that are 1/4 inch wide what

inn [45]

Answer: 112 inches.

Step-by-step explanation:

You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.

Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

$n=\frac{4in}{\frac{1}{4}in}\\\\n=16$

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

$lenght=(16)(7in)\\lenght=112in$

8 0

3 years ago