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lisabon 2012 [21]
3 years ago
7

Han wears a hat to school every 4th day and a jacket every 6th day. What will be the first day that Han wears a hat and a jacket

on the same day?
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:

He will wear a hat and jacket on the 12th day

Step-by-step explanation:

spin [16.1K]3 years ago
7 0

Answer:

The 24th day

Step-by-step explanation:

6 and 4 are multiples of each other. We would need to find the day that they both have the same number like below.

4 , 8 , 12 , 16 , 20 , 24

6 , 12 , 18 , 24

Han would wear a hat and jacket to school on the 24th day.

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Find the general solution of (x+3)y’=2y
gregori [183]

Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
Determine the intercepts of the line.<br> 8x-5y=-11
vodka [1.7K]

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

3 0
2 years ago
Read 2 more answers
The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
3 years ago
A group of 6 friends of varying ages meets at a coffee shop and sits in a circle. What is the probability that the
katrin2010 [14]

Answer:

1 out of 6

Step-by-step explanation:

So basically the shortest is one person in the group of six aand 1/6 cant be simplified so yeah

8 0
3 years ago
Read 2 more answers
find the equation of a line that is parallel to the straight line 2x-y=-3 and crosses the x-axis at x=-5​
Alecsey [184]

Answer:

y=2x+10

Step-by-step explanation:

In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.

In this case it is y=2x+3

All parallel lines have the same gradient. The gradient of this line = 2.

If the line crosses the x axis at x=-5, then when x =-5 y = 0.

If you put all this in the form y =ax + b you get 0 = 2(-5) +b

So all you need to do to find b is rearrange. b = 10.

Therefore your line has gradient 2 and y intercept 10.

y = 2x + 10

7 0
3 years ago
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