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julia-pushkina [17]

3 years ago

13

Solve the equation for x 1/3(x-15) =95 A. X= 105 B. X= 215 C. X= 300 D. X= 310

2 answers:

Andru [333]3 years ago

8 0

I think it’s 300 aka C

Korolek [52]3 years ago

7 0

The answer is c x=300

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Is this a right triangle?

andrey2020 [161]

Answer:

D ; Yes because the Pythagorean theorem works

Step-by-step explanation:

The measure of all three sidelengths make a right triangle

5 0

3 years ago

Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?

larisa86 [58]

The first one would be the right one!

you just take all the y one side and the numbers on one side
so 8y+4= 6+3y

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therefore 5y = 2

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3 years ago

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the average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes with a standard deviation of 3.6 minute

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3 years ago

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

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Thus, total money earned in December is $8,000.

3 0

3 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

2 years ago