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3 years ago

Helppppppppppppppppppp

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

Step-by-step explanation:

3a + 2 = 2a + 7

a +2 = 7

a = 5

zvonat [6]3 years ago

4 0

Answer:

I believe it's A.) $\frac{9}{5}$

It can though, be C.) 5

I might be wrong about A.

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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

Marizza181 [45]

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Small number = S

Number = N

N = 2S + 3

N = 2(S+1)

N = N

2S + 3 = 2(S + 1)

2S + 3 = 2S + 2

-2S -2S

3 = 2

No solutions

Therefore...

"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct

8 0

3 years ago

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Solve the first order differential equation

4vir4ik [10]

Answer:

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3 0

3 years ago

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Given side a is 41 units, side b is 23 units and the included angle is 70°. Find the area

Lelu [443]

Answer:

886.13sq. units

Step-by-step explanation:

If the figure is a triangle

Area of the triangle = 1/2 ab sintheta

Given

a = 41 units

b = 23 units

theta = 70°

Area of the triangle = 1/2 * 41 * 23 sin 70

Area of the triangle = 943 sin70

Area of the triangle = 943(0.9397)

Area of the triangle = 886.13

Hence the area of the triangle is 886.13sq. units

5 0

3 years ago

Simplify the expression so there’s only one positive power for the base, -5.

Yuri [45]

Given:

The expression is

$(-5)^7\div (-5)^2$

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

$(-5)^7\div (-5)^2$

$=\dfrac{(-5)^7}{(-5)^2}$

Using the properties of exponents, the given expression can be written as

$=(-5)^{7-2}$ $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$=(-5)^{5}$

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.

3 0

3 years ago

Find the solution to the following system of equations. x-2/3y=8 -1/5x+1/3y = 3

Anastaziya [24]

Note: Your question sounds a little unclear, but I am assuming that your system of equations is:

$x-\frac{2}{3}y=8$

$-\frac{1}{5}x+\frac{1}{3}y\:=\:3$

It would anyways clear your concept because the procedure to find the solutions remains the same for any set of a system of equations.

Answer:

The solution of the system of equations be:

$x=\frac{70}{3},\:y=23$

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}x-\frac{2}{3}y=8\\ -\frac{1}{5}x+\frac{1}{3}y=3\end{bmatrix}$

$\mathrm{Multiply\:}-\frac{1}{5}x+\frac{1}{3}y=3\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:-x+\frac{5}{3}y=15$

$\begin{bmatrix}x-\frac{2}{3}y=8\\ -x+\frac{5}{3}y=15\end{bmatrix}$

so adding the equation

$-x+\frac{5}{3}y=15$

$+$

$\underline{x-\frac{2}{3}y=8}$

$y=23$

so the system equations become

$\begin{bmatrix}x-\frac{2}{3}y=8\\ y=23\end{bmatrix}$

$\mathrm{For\:}x-\frac{2}{3}y=8\mathrm{\:plug\:in\:}y=23$

$x-\frac{2}{3}\cdot \:23=8$

$x-\frac{46}{3}=8$

Add 46/3 to both sides

$x-\frac{46}{3}+\frac{46}{3}=8+\frac{46}{3}$

$x=\frac{70}{3}$

Therefore, the solution of the system of equations be:

$x=\frac{70}{3},\:y=23$

7 0

3 years ago