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aleksandrvk [35]
3 years ago
13

Maura and Louis have $75 together to

Mathematics
2 answers:
Anna11 [10]3 years ago
5 0

Answer:

$35

Step-by-step explanation:

75-40=35

Mila [183]3 years ago
3 0
35! you just have to subtract 75-40 to get the answer.
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Solve the system by substitution.<br> y = –2x + 18<br> y = -4x<br> HURRY PLEASE
Irina-Kira [14]

Answer:

x = -9

Step-by-step explanation:

x = -y/4

y = -2(-y/4) + 18

y = y/2 + 18

y/2 = 18

y = 36

x = -36/4

x = -9

5 0
2 years ago
Find the general solution for the differential equation (dy)/(dx) + 3y = 18<br> Y=
harkovskaia [24]

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

5 0
3 years ago
Ben made a model (shown below) of the square pyramid he plans to build when he grows up.
elena-s [515]

Answer:

336 m^2

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

A=A_b + 4A_t

where:

A_b=L^2 is the area of the base, where

L is the length of the base

A_t=\frac{1}{2}Lh is the area of each triangular face, where

h is the height of the face

Substituting,

A=L^2+2Lh

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

A=12^2 +2(12)(8)=336

4 0
3 years ago
Read 2 more answers
A drawer contains 6 white socks and 10 black socks. If 2 socks are chosen at random, what is the probability that they will have
SpyIntel [72]

|\Omega|=C(16,2)=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=C(6,2)+C(10,2)=\dfrac{6!}{2!4!}+\dfrac{10!}{2!8!}=\dfrac{5\cdot6}{2}+\dfrac{9\cdot10}{2}=15+45=60\\\\P(A)=\dfrac{60}{120}=\dfrac{1}{2}=50\%

3 0
4 years ago
Read 2 more answers
a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops
AURORKA [14]

Answer:

<em>The ball will roll upto </em><em>1 m.</em>

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

P.E=m\cdot g\cdot h

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

\Rightarrow 10=1\times 10\times h

\Rightarrow 10=10 h

\Rightarrow h=1\ m

7 0
3 years ago
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