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qaws [65]
3 years ago
11

The sum of a number and 6% of itself is 42.4. find the number

Mathematics
2 answers:
kvasek [131]3 years ago
8 0

Answer:

40

Step-by-step explanation:

6% of number = 6/100 × x = 6x/100 = 3x/50

Sum of the number and 6% of itself = 42.4

x + (3x/50) = 42.4

(50x+3x)/50 = 42.4

53x = 42.4 × 50

53x = 2120

x = 2120/53

x = 40


FromTheMoon [43]3 years ago
6 0

Answer:

The answer is  x = 40

Step-by-step explanation:

6% of a number is 6/100 * x

Of means multiply.

so 6% of x =    6/100 * x =    6 * x / 100 =    0.06x

Now just put these two together.

x + 0.06x = 42.4    Combine the left

1.06x = 42.4           Divide by 1.06

x = 42.4 / 1.06

x = 40

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natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

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-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
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Aleks04 [339]
Question 5 - A

Question 6 - B
7 0
3 years ago
Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.
ioda

Answer:

There are no triangles given, so I will explain what congruent triangles are.

Step-by-step explanation:

Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.

Consider the following conditions for two triangles:

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If all these conditions are met for any two triangles, they are said to be congruent.

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We still have two more sides, but once again, because this is a rectangle, those sides must be equal. Therefore if we subtract the 172 yards we know from the total perimeter of 438 yards we will end up with an answer of 266 yards. This figure is divided by two because we have a length on either side of the perimeter. Therefore the answer is 133 yards.

Hope this helps!
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