Pat was shopping and found a
jacket with the original price of
$120 on sale for $12. What was
the percent decrease in the
cost? %
Hint: Change over original

Answer:

0.6 or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is [tex]\frac{3}{5}[/tex] which equals 0.6 in decimal form.

Given:

The expressions are:

[tex]2x(x^2-6x+3)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

[tex]a(b+c)=ab+ac[/tex]

The first expression is:

[tex]2x(x^2-6x+3)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)[/tex]

[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]

Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].

The second expression is:

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]

Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].

Answer:

5 years (about)

Step-by-step explanation:

$23,700 X .13 = $3,081

$3,081 X 5 = $15,405

$23,700 - $15,405 = $8,295

Good luck! hope this helps.

(If you've noticed a mistake in my logic, please comment any corrections)

Answer:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Step-by-step explanation:

The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.

Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

2ax-6ay+bx-3by

2ax+bx -6ay-3by

x(2a+b) -3y(2a+b)

(2a+b) (x-3y)

Answer:

Step-by-step explanation:

2ax -6ay +bx -3by

take common from first two terms and take common from third and fourth term

=2a(x-3y)+b(x-3y)

take common (x-3y) is common

=(x-3y)(2a*1+b*1)

=(x-3y)(2a+b)

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

Answer:

45%

Step-by-step explanation:

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

Answer:

P= (1,-1)= P'= (-3,1)

T=(4,-1)=T'= (0,1)

R=(5,1)=R'= (1,3)

A= (5,3)=A'= (1,5)

So you would move the points 4 units across (left) and 2 units up (2,-4)

I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!

Answer:

See explanation below

Step-by-step explanation:

Flat fee = $25

Cost per mile = $0.60

Let

C = total cost

m = number of miles travelled by the truck

The equation is

C = 25 + 0.60m

The independent variable is miles,m travelled

The dependent variable is total cost, C

$25 is the constant

Answer:

2/5

Step-by-step explanation:

Multiply all the fraction

Answer:

Step-by-step explanation:

The shorter sides of the porch can be found by subtracting 2.5m from 3m to get .5m; the longer sides are found by looking at the opposite end of the tent at the rectangle with a 1 inside of it. That 1 indicates the length of the rectangle, which is the same for the porch's length. That means that the perimeter is .5+1+.5+1 which is 3m total.

Answer:

10 %

Step-by-step explanation:

let the percent be x

according to the question

7.8 = x % 0f 78

7.8 = x /100 * 78

7.8*100 = 78x

780 = 78x

780/78 = x

10 = x

Answer:

10 percent

Step-by-step explanation:

7.8 is ? of the number 78.

So, we will multiply 7.8 by 100.

7.8 x 100 = 780

Now, we will divide 780 by 78.

780/78 = 10

So, our answer is 10.

Or, you can divide:

78 divided by 7.8 is 10

Answer:

[tex]z = (6,-1)[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]x = (3,-1)[/tex]

[tex]y = (3,5)[/tex]

[tex]yz= \sqrt{45[/tex] --- Hypotenuse

Required

The coordinate of Z

First, calculate the distance xy

[tex]xy = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]xy = \sqrt{(3 - 3)^2 + (-1 - 5)^2}[/tex]

[tex]xy = \sqrt{0 + 36}[/tex]

[tex]xy = \sqrt{36}[/tex]

[tex]xy = 6[/tex]

By Pythagoras theorem, distance xz is:

[tex]yz^2 = xz^2 + xy^2[/tex]

[tex](\sqrt 45)^2 = xz^2 + 6^2[/tex]

[tex]45 = xz^2 + 36[/tex]

Collect like terms

[tex]xz^2 =45-36[/tex]

[tex]xz^2 =9[/tex]

[tex]xz = \sqrt{9}[/tex]

[tex]xz = 3[/tex]

This means that z is 3 units to the right of x

We have:

[tex]x = (3,-1)[/tex]

The rule to determine z is:

[tex](x,y) \to (x + 3, y)[/tex]

So, we have:

[tex]z = (3 + 3,-1)[/tex]

[tex]z = (6,-1)[/tex]

Answer:

The area could be 50x250 or 125x100

Step-by-step explanation:

L+2W = 350

LW = 12500

L = 350-2W

(350-2W)W = 12500

350W - 2W^2 = 12500

W = 50,125

L = 250,100

So, the area could be 50x250 or 125x100

Answer: 있는 날 정신 바짝

Step-by-step explanation:

있는 그대로의 실력과 모습으로 웃음을 자아냈다 있는 하는 날 나를 이해하는 사람을 찾아보라 14m, 6m, 7m, 10m, 7m, 4m 함께 중국 냉겨 등

Answer:

hiii bakugo join meh remind class/  (add the at sign right here)7ah8cae

Step-by-step explanation:

https://brainly.com/question/25692788 join this its were we r talking

Answer:

Step-by-step explanation:

the square of x-5 given by

[tex] \displaystyle (x - 5) ^{2} [/tex]

use (a-b)²=a²-2ab+b² to simplify so we obtain:

[tex] \displaystyle {x}^{2} - 10x + 25[/tex]

hence

our answer is 2)

to find:

[tex]f(x) - g(x)[/tex]

substitute the value of f(x) and g(x):

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - ( {2x}^{2} - 4x + 4)[/tex]

remove parentheses and change its sign:

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - {2x}^{2} + 4x - 4[/tex]

combine like terms:

[tex] \rm \displaystyle{6x}^{2} + 12x - 5 - {2x}^{2} - 4[/tex]

collect like terms:

[tex] \rm \displaystyle{4x}^{2} + 12x -9[/tex]

hence,

our answer is 3)

given Polynomial:

[tex] \displaystyle {5x}^{3} + 2 {x}^{2} + 7[/tex]

substitute the value of x:

[tex] \displaystyle {5.(10}^{3}) + 2 ({10}^{2}) + 7[/tex]

simplify squares:

[tex] \displaystyle 5(1000) + 2 (100) + 7[/tex]

simplify multiplication:

[tex] \displaystyle 5000 + 2 00 + 7[/tex]

simplify addition:

[tex] \displaystyle 5207 [/tex]

hence our answer is 1)

given:

notice that,

every time there's a GCF of 4x²y

hence our answer is 4)

Answer:

4th option 0,5,10,15

Step-by-step explanation:

Let's check if the first choice is geometric.

2*3 = 6. is 6*3 = 18, yes! is  18*3 = 54. Yep! its geometric

the second option multiplies by -2, it is geometric

the third option multiplies by 1/5, it is geometric

The fourth option does not multiply by anything common, it is Not geometric

Answer:

0,5,10,15 is not the sequence of geometric.

Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.

Step-by-step explanation:

This is totally correct!

Answer:

You can't get an answer to this unless you know what x is. The reason you can't solve is because it is factored down to the lowest form, but if you need to make an equation. Here is one: x^2 + 5x

Answer:

a=28/5 or 5.6

Step-by-step explanation:

2a/7=a-4

Multiple both sides of the equation by 7

2a=7a-28

Subtract 7a from both side

2a-7a=-28

Like Term

-5a=-26

Divide -5 from both side

a= 5.6

Answer:

Step-by-step explanation:

Least to largest:

First compare the whole parts of the decimal number. The whole part with greater number will be the greatest number.

2) Then compare the decimal parts. Compare tenth place. The decimal number that has greater number in the tenth place will be greater.

3) If the number in  tenth place is equal, then compare 100th place and so on

A) 15.99  ; 16  ; 16.02  ; 16.2

B) 4.45  ; 4.9945  ; 5.545   ; 5.56

c) 44.11  ; 44.5  ; 45 ; 45.01

D) 8.995 ;   9.0599  ;  9.27  ;  9.6

Greatest to least

A) 2.111   ; 2.11   ; 2.1   ; 2.01

B) 32.32  ; 32.302     ; 32.032  ; 3.99

c) 7.666  ; 7.66  ;  7.6  ; 7.06

D) 57.68  ; 57.57   ;   57.057   ; 5.75

Answer:

The Sun warms our seas, stirs our atmosphere , generates our weather patterns, and gives energy to the growing green plants that provide the food and oxygen for life on Earth.

The Answer is d

......

Answer:

y = 0

Step-by-step explanation:

Let's use the addition method.

2x + y - 10 = 0

x - y - 5 = 0

Write the first equation as is. Write below it the second equation multiplied by -2 on both sides. Then add the equations.

         2x + y - 10 = 0

(+)     -2x + 2y + 10 = 0

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

                 3y        = 0

Divide both sides by 3.

y = 0

Answer: y = 0

Answer:

16 units²

Step-by-step explanation:

Formula for the area of a parallelogram is given as, A = b*h

Where,

Base (b) = 4

Height (h) = √(5² - 3²) = 4 (Pythagorean theorem)

Plug in the values

Area of parallelogram, A = 4*4

= 16 units²

Answer:

-2 + 6 = 4

Step-by-step explanation: