The pirce of an item yesterday was$125 . Today, the price fell to 75. Find the percentage decrease.

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

3 years ago

Drag the item from the item bank to its corresponding match.

vredina [299]

<h2>1. Answer: </h2>

This is an angle whose measure is between 0 degrees and 90 degrees matches to Acute angle

In fact this is the definition of acute angles, if an angle has a measure less than 90°, it's called an acute angle.

<h2>2. Answer: </h2>

These are a pair of angles, adjacent or nonadjacent whose sum is 90° matches to Complementary

The definition of complementary angles is that they are angles that add up to 90°. For instance, if you have two angles 50° and 40°, the complement of 50° is 40° and the complement of 40° is 30°.

<h2>3. Answer: </h2>

These are angles, segment, triangles, etc that have exactly the same measures matches to Congruent

The concept of congruence stands for equal things. So line segments are congruent if they have the same length, angles are congruent if they have the same measure and, in general, shapes are congruent if you can turn one into the other by moving, rotating or flipping.

<h2>4. Answer: </h2>

This is an angle having a measure greater than 90° and up to 180° matches to obtuse angle

In fact this is the definition of obtuse angles, if an angle has a measure greater than 90°, but also less than 180°, it's called an obtuse angle

<h2>5. Answer: </h2>

This is an angle whose measure is exactly 90° matches to Right

In fact this is the definition of right angles, 90° angles are also known right angles. This kind of angles are often labeled with tiny squares.

<h2>6. Answer: </h2>

Two angles whose measures add up to 180° matches to straight angle

Angles that add up to 180° are called supplementary angles. For instance, 60° and 120° are supplements to each other because they add up to 180°.

<h2>7. Answer: </h2>

These are angles opposites one another at the intersection of two lines matches to vertical angles

Angles on opposite sides of intersecting lines are called vertical angles. This is the name of this type of angles because they have the same vertex, or corner, at the intersection. Vertical angles are always congruent to each other meaning this they always have the same measure.

<h2>8. Answer: </h2>

These are two angles in a plane which share a common vertex and a common side but do not overlap matches to adjacent angles

This is the definition of adjacent angles. They have a common side and a common vertex but they don't overlap. So if the vertex is called B, we have formed the angles ∠ABC and ∠CBD and these two angles don't overlap.

<h2>9. Answer: </h2>

This is an angle with a measure of 180 degrees matches to straight angle

180° angles are straight angles. As you can see from the figure in the image, straight angles are identified for being in a straight line.

<h2>10. Answer: </h2>

This is the angle formed with you extend a side of the polygon it is adjacent to the interior angle of the polygon matches to exterior angle.

They're called exterior angles because they're outside the parallel lines formed when extending a side of the polygon and they're called alternate angles because they're on different sides of the transversal and they touch different parallel lines.

5 0

3 years ago

Mrs O’maley ran 2 2/3 miles today.she plans to run the same distance every day this week. How many total miles wil she run this

natulia [17]

Okay, so we multiply..

And we know that a week = 7 days..

So..

2 * 2/3 * 7 = ???

We change the 2 into 2/1
THEN we multiply..

2/1 * 2/3 = 4/3

Then we change the 7 into 1/7.. ( Which is still a whole )

Then multiply again..

4/3 * 1/7 = 4/21

You can correct me if I'm wrong...
I hope this helps you!

7 0

3 years ago

what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus

nekit [7.7K]

The correct answer is: 
x²-3x-4 - $\frac{3}{x-2}$ .

Explanation: 
To divide these polynomials, the dividend, x³-5x²+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x³; x*x²=x³, so we write x² over -5x² in the box.

Now we multiply our divisor, x-2, by x²: 
x*x²=x³
-2*x²=-2x².

This goes under x³-5x² in the box.

Now we subtract: 
(x³-5x²)-(x³-2x²)=-3x².

This goes below the 2x² we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x²;
x*-3x=-3x², so we write -3x beside x² in the quotient (at the top).

We multiply our divisor, x-2, by -3x: 
x*-3x=-3x²
-2*-3x=6x.

We write -3x²+6x under our -3x²+2x and subtract:
(-3x²+2x)-(-3x²+6x)=-4x.

Write this below 6x. Bring down +5.

Now we see what we multiply x by to make -4x;
x*-4=-4x, so write -4 beside -3x in the quotient.

Multiply our divisor, x-2, by -4: 
x*-4=-4x;
-2*-4=8;

write -4x+8 below -4x+5 and subtract:
(-4x+5)-(-4x+8)=-3.

This gives us the quotient x²-3x-4 with a remainder of -3, so we write our full answer as x²-3x-4-(3/x-2).

3 0

3 years ago

Read 2 more answers

The cookies Karen wants come in packs of 8 she needs 46 of these cookies for a party how many packs should she buy?

Andre45 [30]

46/8=5.75

Round up to 6, since you can't buy 3/4 of a pack of cookies.

The answer is 6 packs of cookies.

Hope this helps :)

7 0

3 years ago

Read 2 more answers