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4 years ago

7

when water freezes its volume in creases by 9%. if you freeze one gallon of water to make for a party how many cubic inches of i

ce will you have [hint.1 gallon=231 in3

1 answer:

Alexxx [7]4 years ago

6 0

<span>They own a total of 120 CDs.</span>

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A computer and printer cost total of $927 the cost of the computer is two times the cost of the planet find the cost of each ite

swat32

The cost of the printer is $309 and cost of the computer is $618.

Step-by-step explanation:

Let x denote the cost of computer

Let y denote the cost of printer

Total cost of printer and computer OR

x + y = $927

<u>To find the cost of x and y,</u>

Cost of computer = 2 x cost of the planet

x = 2y

x+y = 927

2y+y = 927

3y = 927

y = 309

x = 2y

x = 2(309)

x = 618

Therefore, the cost of the printer is $309 and cost of the computer is $618.

Keyword: Cost, Algebra

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6 0

3 years ago

A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true exc

NNADVOKAT [17]

The <em>correct answer</em> is:

A∪B={}

Explanation:

Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.

Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.

Since A and B have no elements in common, A is not a subset of B.

Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.

7 0

3 years ago

Read 2 more answers

The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy

Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

$shortleg^2+longleg^2=hypotenuse^2$

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

$s^2+(2s+4)^2=(2s+6)^2$

And of course we have to expand. Doing that will leave us with

$s^2+4s^2+8s+8s+16=4s^2+12s+12s+36$

Combining like terms we have

$5s^2+16s+16=4s^2+24s+36$

Our job now is to get everything on one side of the equals sign and solve for s

$s^2-8s-20=0$

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0

4 years ago

Which expression is equivalent to (9x2y6)−1/2?

galben [10]

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

8 0

3 years ago

Given f(x) = -4x - 2, solve for x when f(x) = 6.

Andrej [43]

Answer:

use

Step-by-step explanation:

calculator

6 0

3 years ago