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expeople1 [14]
3 years ago
10

Jenny is knitting a blanket. She knits 1/3 foot of the blanket in 2/3 of an hour. How fast is jenny's knitting speed, in feet pe

r hour?
Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

Jenny will knit 8 inches per each hour.

Step-by-step explanation:

First I know that 1 foot is 12 inches.

1/3 of 13 is 4.

1 hour is 60 minutes.

2/3 of 60 is 40.

so she knits 4 inches in 40 minutes.

We will now add 1/3 to both to see how many inches/feet she knits per hour/60 minutes.

Adding 1/3 to 2/3 of an hour will look like:

\frac{20}{60} +\frac{40}{60}

That equals 60/60 which is 1 hour.

Adding 1/3 to 1/3 of a foot will look like:

\frac{4}{12}+ \frac{4}{12}

That equals 8/12, which is 8 inches in a foot.

This means that in one hour, Jenny will knit 8 inches of a foot.

<em>~CaityConcerto</em>

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Help pretty pretty please !!❤️
insens350 [35]

Answer:

HEYOOO

The answer must be that it has a MAX

Step-by-step explanation:

Its because the graph has a MAXIMUM "peak" of the line--the maximum point on the graph of which it reaches!

HOPE THIS HELPS!

4 0
3 years ago
Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
melamori03 [73]

Answer:

The complete solution is

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

y = e^{mx}

Differentiating with respect to x

y'= me^{mx}

Again differentiating with respect to x

y''= m ^2 e^{mx}

Putting the value of y, y' and y'' in left side of the differential equation

3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0

\Rightarrow 3m^2-8m-3=0

The auxiliary equation is

3m^2-8m-3=0

\Rightarrow 3m^2 -9m+m-3m=0

\Rightarrow 3m(m-3)+1(m-3)=0

\Rightarrow (3m+1)(m-3)=0

\Rightarrow m = 3, -\frac13

The complementary function is

y= Ae^{3x}+Be^{-\frac13 x}

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)    

For particular integral

y_p=\frac 1{(3D+1)(D-3)} .4

    =4.\frac 1{(3D+1)(D-3)} .e^{0.x}    [since e^{0.x}=1]

   =4\frac{1}{(3.0+1)(0-3)}      [ replace D by 0 , since L(0)≠0]

   =-\frac43

The complete solution is

y= C.F+P.I

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

4 0
3 years ago
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure &amp; the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
By how many times does the surface area of a sphere differ if radius is double​
stich3 [128]

<em>If the radius of a sphere is doubled, the surface area becomes four times the original surface area.</em>

6 0
2 years ago
Read 2 more answers
What is the answer for 10x+75+5x=110? And how do you get it?
cestrela7 [59]
Okay, let's add the two x values.
10x + 75 = 5x = 110
15x + 75 = 110

Now let's minus 75 from each side.
15x = 35

Now let's divide each side by 15.
x = 2.333333333
8 0
3 years ago
Read 2 more answers
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