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Inga [223]
3 years ago
10

Connie paid $1.08 for pencils. Pencil equals $0.12. How many pencils did she buy

Mathematics
2 answers:
grandymaker [24]3 years ago
7 0
She bought 9 pencils because 12 times 9 equals 1.08
Alex_Xolod [135]3 years ago
4 0
$1.08 / $0.12 = 9
Connie bought 9 pencils.
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Somone help meeeeeeeee
nlexa [21]

Answer:

x=32

Step-by-step explanation:

5/8-3/8=2/8x =1/4

1/4x+4=12

12-4=8

1/4x=8

8/ 1/4 =32

x=32

5 0
3 years ago
Read 2 more answers
Differential Equations - Reduction of order
iren [92.7K]
With reduction of order, we assume a solution of the form y_2=zy_1=ze^{2x}, with z=z(x). Then

{y_2}'=(z'+2z)e^{2x}
{y_2}''=(z''+4z'+4z)e^{2x}

and substituting into the ODE gives

x(z''+4z'+4z)e^{2x}-(2x+1)(z'+2z)e^{2x}+2ze^{2x}=0
x(z''+4z'+4z)-(2x+1)(z'+2z)+2z=0
xz''+(2x-1)z'=0

Let \xi(x)=z'(x), so that \xi'=z''. This gives the linear ODE

x\xi'+(2x-1)\xi=0

This equation is also separable, so you can write

\dfrac{\xi'}{\xi}=\dfrac{1-2x}x

Integrating both sides with respect to x gives

\ln|\xi|=-2x+\ln x+C_1
\xi=C_1xe^{-2x}

Next, solve z'=\xi for z by integrating both sides again with respect to x.

z'=\xi
\implies z=\displaystyle\int C_1xe^{-2x}\,\mathrm dx
\implies z=C_1e^{-2x}(2x+1)+C_2

And finally, solve for y_2.

y_2=zy_1=C_1(2x+1)+C_2e^{2x}

and note that y_1 is already taken into account as part of y_2, so this is the general solution to the ODE.
6 0
3 years ago
A chemist mixes a 25 % acid solution with a 45% acid solution to make 600 ml of a 30% acid solution. How much of each type of so
PilotLPTM [1.2K]

Answer:

25 % acid solution = 450ml

45% acid solution = 150ml

Step-by-step explanation:

Let

x = 25 % acid solution

y = 45% acid solution

x + y = 600

.25x + .45y = .30(600)

x + y = 600 (1)

.25x + .45y = 180 (2)

From (1)

x = 600 - y

Substitute x = 600 - y into (2)

.25x + .45y = 180

.25(600 - y) + .45y = 180

150 - .25y + .45y = 180

150 + .20y = 180

.20y = 180 - 150

.20y = 30

Divide both sides by .20

y = 30/0.20

= 150

y = 150ml

Substitute y = 150 into

x + y = 600

x + 150 = 600

x = 600 - 150

= 450

x = 450ml

25 % acid solution = 450ml

45% acid solution = 150ml

6 0
2 years ago
a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the perso
PolarNik [594]

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal <em>x</em>. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

6 0
3 years ago
Translate this sentence into an equation.
Leno4ka [110]

Answer:

Step-by-step explanation:

D×5= 95

19 years old

5 0
3 years ago
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