Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)

Part (a)

--------------------------

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer: No although the expressions are equivalent by the distribute property, it is not in simplest form because when we combine 6.5x and 3.25x as they are like terms the simplified expression is 9.75x + 6.5

Step-by-step explanation: hope this helps

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Answer:

I think it's B

Step-by-step explanation:

because you won't draw the same card twice because you took that card out of the running

hope this helps sorry if I'm wrong

Putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

Probability is a branch of mathematics which deals with the occurrence of a random event.

Drawing a certain card from a deck probability depends on whether or not another card has been drawn previously, as  it changes the number of cards remaining in the deck and the likelihood of drawing a certain card.

Drawing a pair of cards from a deck is the  pair of events which are dependent on one another.

Hence, putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

Answer:

<2 <4 <5

Step-by-step explanation:

When two lines are parallel and crossed by a transversal, the opposite interior angles are congruent.

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Answer: green

Step-by-step explanation: 2 + 2 = 5

Answer:

false

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation:

It is 3 inches as seen in the square boxes within the big square

Answer:

2^8

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

First find the whole, the total number of toy cars:

160  on the wall} + 340 \text{ in display case} = }{500}  total toy cars}

160 on the wall+340 in display case=500 total toy cars

Method 1: Set up a proportion

Set up an equation of the form:

whole

part

​

= }{100}

100

percent

​

Assign the variable xx to the unknown value:x}=

x=

percent

The question asks what }percent of all the toy cars is 160

Substitute the known values with the numbers given in the problem, and the unknown value with xx:

\frac{\color{red}{160}}{\color{orange}{500}}=

500

160

​

={100}

100

x

​

Solve for xx:

100}{160}=

100⋅160=

{500}

500⋅x

Cross multiply

16000}{500}=

500

16000

​

=

{500x}{500}

500

500x

​

Divide both sides by 25

{32\%}=

32%={x}

x

Simplify

Method 2: Find percent directly

Find \(160\) out of \(500\) as a decimal:}

Find 160 out of 500 as a decimal:

{160} {500}}=

500

160

​

=

\,\,0.32

0.32

\text{Convert decimal to percent:}

Convert decimal to percent:

0.32\times100=

0.32×100=

32\%}

32%

Move decimal 2 places to the right

number

percent

160

32%

500

100%

The percentage of Ryan's toy car collection does he keep on his wall should be considered as the 32%.

Since Ryan has a toy car collection consisting of 160 toy cars he keeps on the wall and 340 he keeps in a display case.

So here the percentage be like

[tex]= 160 / (160 + 340)[/tex]

= 32%

Hence, The percentage of Ryan's toy car collection does he keep on his wall should be considered as the 32%.

Learn more about percentage here: https://brainly.com/question/2748723

Answer:

x = 33.33 kilometers

Step-by-step explanation:

you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

[tex]\frac{percent}{base} =\frac{rate}{100}[/tex]

[tex]\frac{5}{x}=\frac{15}{100}[/tex] ; cross multiply.

15x = 500

x = 33.33 kilometers

therefore, the race is 33.33 kilometers.

Answer:

33.33

Step-by-step explanation:

15%/100 and 15%=5KM 5=15% so make it 1% 5÷15=0.3333..... = 1% therefore time it to 100×0.3333 (1%) = 33.33KM is the total race KM

Answer:

y = - x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-1}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

The line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

y = - x - 1 ← equation of line

Answer:

y= - x -1

Step-by-step explanation:

ran it through Desmos

I can't find a way to expllain  

it if i would put y= - 1 (becaues remember -1 is where the lines intersected with the y axis)

all there would be was a straight

line across -1 but since its goin  down 1

you need the - x     to give it a negative tilt

how u UNderstan

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

Answer:

your answer is in this attachment

Step-by-step explanation:

hope it's helpful to you

have a great day ahead buddy

Answer:

First option is the correct answer

[tex]m= 14 \sqrt 2, \: n = 14[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Given is a 45°-45°-90° triangle.

Measure of sides n and 14 are opposite to 45° degree angles.

Therefore, they are equal.

So, n = 14

[tex] 14 = \frac{1}{\sqrt 2}\times m[/tex]

[tex] 14 \sqrt 2=m[/tex]

Answer:

honestly skip it

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

you need to add all the numbers, remember that the total number is 360 then minus your answer that you got by 360

Answer:

Yes she is correct

Step-by-step explanation:

Answer:

y = 2x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the y-intercept first, then, from that point, go tide over run to find your slope. This line has a positive slope, so count up two and over one (2/1). After that, input what data you've collected into your equation (y = mx + b) and you'll have your answer.

Answer:

roughly 12.56 units

Step-by-step explanation:

Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle

half of the diameter is the radius, so 8/2 =4, r=4

Plug in what we know...

C=2*pi*4

Solve

2*3.14*4

25.12

divide by 2

25.12/2=12.56

12.56 units is the perimeter

Answer:

Approx. 20.566 units

Step-by-step explanation:

Find the circumference of the whole circle first by doing:

C = 2πr

r = 4 (8 divided by 2)

C ≈ 25.133

Then divide that by two because a semi-circle is half a circle:

12.566

Then add 8 (diameter) to that number for the open side.

Hope this helps :)

Answer:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Step-by-step explanation:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

Step-by-step explanation:

The top answer is x and the bottom answer is 14.