MATHEMATICS MIDDLE SCHOOL

Rearrange the equation so U is the independent variable. 4u+8w=−3u+2w

Answers

Answer 1

Answer:

Answer:

$u=-(6)/(7) w$

Step-by-step explanation:

$4u+8w=-3u+2w$

Add $3u$ and $-8w$ on both sides.

$4u+3u=2w-8w$

Add or subtract like terms.

$7u=-6w$

Divide $7$ on both sides.

$7u/7=-6w/7$

$u=-(6)/(7) w$

$u$ is the independent variable now.

Answer 2

Answer:

Answer:

independent variable means the variable after the equal sign

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What's a better definition for prime factorization to help me understand it??

Answers

It's really simple, a prime number is simply a number that can only be DIVIDED by 1 or itself. So 5 can't be divided by anything but 5 or 1. Now going from this when doing Prime FACTORIZATION, you have to find 2 numbers that multiply to the number you were given. Let's say your told to find the prime factor of 12. What divides into it? Well 6x3 does but 6 is not a prime number. But 2x2x3 = 12 and it uses only prime numbers. Hope this helps!

Which classification best represents a triangle with side lengths 6cm, 10cm, and 12 cm?

Answers

We can sort out this triangle as a scalene triangle, that is, a triangle that has three unequal sides. It is also true that there are no equal angles for this type of triangles. If a scalene triangle has an angle of 90°, then this is called a right triangle. But this is not right triangle. Let's prove it:

We know that the Pythagorean Theorem establishes that:

$c^2=a^2+b^2 \n where \ a \ and \ b \ are \ the \ sides \ and \n c \ is \ the \ Hypotenuse \ that \ is \ always \ the \ greatest \ side$

Therefore, we can say that:

$a=10cm \n b=6cm \n c=12cm$

Accordingly:

$12^2 \neq 10^2+6^2 \therefore \boxed{144 \neq 136}$

In fact, this is not a right triangle.

Wats the 60% off a prize that is $20.00

Answers

$x\ \rightarrow\ the\ 60\%\ of\ a\ prize\ that\ is\ \$20.00\n\nx=60\%\ \cdot \ \$20.00= (60)/(100) \cdot \$20.00=\$12.00\n\nAns.\ \$12.00$

Translate the following into an algebraic expression: a The number that is 40% more than five more than a number a.

Answers

Answer:

x = a + 8

Step-by-step explanation:

x = The number that is 40% more than five more than a number a.

x = 40% more than 5 (plus a)

5 * 0.6 = 3

5+3 = 8

x = a + 8

The answer is x=8+9.

You are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimensions shown a. write a polynomial that represents the volume of the birdhouse

b. what are the dimensions of the birdhouse ?

show your work please

Answers

$a.\nV-the\ volume\n\nV(w)=4\cdot w\cdot (w+4)=4w^2+16w\ [in^3]\n\nb.\nV=128\ in^3\ \ \ \Rightarrow\ \ \ 4w^2+16w=128\ \ \ \Rightarrow\ \ \ 4w^2+16w-128=0\ /:4\n\nw^2+4w-32=0\n\nw^2+4w+4-36=0\ \ \ \Leftrightarrow\ \ \ (w+2)^2=36\n\nw+2=6\ \ \ \ \ or\ \ \ \ \ w+2=-6\n\nw=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ w=-8\ \ \ \ (and\ \ \ w>0)\n\nw=4\ \ \ \Rightarrow\ \ \ w+4=8\n\nAns.\ the\ dimensions\ of\ the\ birdhouse:\ \ 4\ in,\ 4\ in,\ 8 \ in$