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3 years ago

If twice a number, added to 3 is divided by the number plus 7, the result is five thirds. Find the number.

Mathematics

1 answer:

Alina [70]3 years ago

5 0

Answer: 26

Step-by-step explanation:

Let the number be n.

Now,

twice a number =>> 2n

added to 3 =>> 2n + 3

is divided by the number plus 7 is five thirds =>> (2n + 3) / (n + 7) = 5 / 3

(2n + 3) = (5 / 3) × (n + 7)

3 × (2n + 3) = 5 × (n + 7)

6n+9 = 5n + 35

6n - 5n = 35 - 9

n = 26

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-7 (1 + 3x) please help asap

grigory [225]

Answer:

= −21x−7

Step-by-step explanation:

−7(1+3x)

=(−7)(1+3x)

=(−7)(1)+(−7)(3x)

=−7−21x

= −21x−7

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2 years ago

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a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

The correct question is

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the triangular prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$

$x^2=32/2\\x^2=16\\x=4\ units$

The area of the triangular base is equal to

$A=\frac{1}{2}(4)(4)=8\ units^2$

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

$A=b^2$

we have

$A=8\ unit^2$ ----> is the same that the area of triangle

substitute

$8=b^2$

$b=2\sqrt{2}\ units$

therefore

The lengths of the sides of the square base are $2\sqrt{2}\ units$

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3 years ago

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Marta_Voda [28]

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3 years ago

-6(-p + 8) = -6p + 12

kolbaska11 [484]

ANSWER:
p=5

explanation:
distribute the -6 and simplify

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3 years ago

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Use the method of completing the square to write the equation of the given parabola in this form:

siniylev [52]

Formula is y = a(x-h)^2 + k

Where h is 1 and k is 1

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We must factor the perfect square ax^2 + bx + c which we don't have. We must follow the rule (b/2)^2 where b is -2....(-2/2)^2 = (-1)^2 = 1 and we add up that to both sides

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If twice a​ number, added to 3 is divided by the number plus 7​, the result is five thirds. Find the number.

If twice a number, added to 3 is divided by the number plus 7, the result is five thirds. Find the number.