Well if he is filling one 3/4 quart bottle, then he must fill his measuring cup 3 times, so just multiply it by 5, and you have 15.

David needs to fill the measuring cup 15 times.

7 0

3 years ago

If x= 1/2-√3 , prove that x³-2x²-7x+5=3

prohojiy [21]

$x=\frac{1}{2}-\sqrt3\\\\x^3-2x^2-7x+5=3\\\\(\frac{1}{2}-\sqrt3)^3-2(\frac{1}{2}-\sqrt3)^2-7(\frac{1}{2}-\sqrt3)+5\\\\=(\frac{1}{2})^3-3\cdot(\frac{1}{2})^2\cdto\sqrt3+3\cdot\frac{1}{2}\cdot(\sqrt3)^2-(\sqrt3)^3-...\\\\...-2[(\frac{1}{2})^2-2\cdot\frac{1}{2}\cdot\sqrt3+(\sqrt3)^2]-\frac{7}{2}+7\sqrt3+5$

$=\frac{1}{8}-\frac{3\sqrt3}{4}+\frac{9}{2}-3\sqrt3-2(\frac{1}{4}-\sqrt3+3)-\frac{7}{2}+7\sqrt3+5\\\\=\frac{1}{8}+\frac{9}{2}-\frac{1}{2}-6-\frac{7}{2}+5-\frac{3}{4}\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\\\\=\frac{1}{8}+\frac{1}{2}-1+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{1}{2}+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{4}{8}+5\frac{1}{4}\sqrt3\\\\=-\frac{3}{8}+5\frac{1}{4}\sqrt3\neq3$

6 0

2 years ago

Find the radius of each figure. round to the nearest tenth.

k0ka [10]

Answer:

8.25475 m

Step-by-step explanation:

pi*r^3 is the formula for a sphere.

Using this, pi is a nmber (about 3.14) and we only don't know the radius, but we know what it equals.

pi*r^3=1,767.1

First divide by pi, then get ride of the cube by cube rooting both sides.

The cube root of 1767.1/pi (remember to cube root both denominator and numberator!!!) is about 8.25475 m

6 0

3 years ago

Find x<br> (4+25)<br> (6x+20)<br> (3x+25)

Paraphin [41]

Answer: 15

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

$3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}$

6 0

2 years ago