Your family has decided to put a rectangle patio in your backyard similar to the shape of your backyard. Your backyard has a length of 40 feet and a width of 20 ft the length of your patio is 12 feet. Find the perimeter of your new patio.

Answer:

85.5 grams of 17% gold alloy is added.

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold.

And let x grams of an alloy which is 17% gold.

Let's add them to get 25% of (x+57)grams of alloy.

So, we can set up equation as

57(37%) +x(17%) =(x+57)(25%)

Simplify and solve the equation for x.

21.09+0.17 x=  0.25 x+14.25

Subtract both sides 0.25 x

21.09-0.08 x =14.25

Subtract both sides 19.95

-0.08 x=-6.84

Divide both sides by -0.08

x=85.5 grams

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

Answer:

no it doesn't

Step-by-step explanation:

[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]

( x - 1 )s simplifies

[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]

_________________________________

Thus ; the expression doesn't simplify to x.

Answer:

No

Step-by-step explanation:

5xyz and 10xy are not like terms because 5xyz has a z and 10xy doesn't. Like terms always have the same variables.

Answer:

22.83 I think

Step-by-step explanation:

Answer:

a=−(1+1)=−2  

b=(1+1)=2

Step-by-step explanation:

Answer:

f(x) = x² - 10x + 27

Step-by-step explanation:

Given the x- intercepts of f(x) are x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are

(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is

(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then

f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL

     = (x - 5)² - 2i² ← i² = - 1

     = x² - 10x + 25 + 2

     = x² - 10x + 27

Answer:

the answer would be 0

- 2 1/3

Hi there !

6  2/9 : ( - 2 2/3) =

= (6*9+2)/9 : -(2*3+2)/3

= 56/9 : - 8/3

= 56/9 × - 3/8

simplify 56 - 8 ; 9 - 3

= 7/3 × - 1/1

= - 7/3

= - 2 1/3

Good luck !

Answer:

[tex](19,6.4)[/tex]

Step-by-step explanation:

[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]

so it would look like

[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]

then

[tex](19)[/tex],[tex](6.4)[/tex]

or

[tex](19,6.4)[/tex]

Answer:

5(4) + 5(8)

Step-by-step explanation:

Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!

Answer:

the answer is the 1 with the check on it

11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.

The correct answer is option (D)

"It is statistical model which is used to determine the relationship between variables."

"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."

If log x = b, then x = (10)^b

Given : the least-squares regression line,

log Time = 0.699 + 0.500 log(Length)

We need to find the time when given model predict a 7 foot pendulum would take to complete one period.

Here, Length = 7 ft

Using given model,

⇒ log Time = 0.699 + 0.500 log(7)

⇒ log Time = 0.699 + (0.5 × 0.8451)

⇒log Time = 0.699 + 0.423

⇒ log Time = 1.122

⇒ Time = [tex]10^{1.122}[/tex]

⇒ Time = 13.2 seconds

Therefore, the correct answer is option (D) 13.2 seconds.

Learn more about least-squares regression here:

https://brainly.com/question/2141008

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Answer:

Like what type of expression? And Is it for all the numbers at once, or is it each number separately?

Step-by-step explanation:

The measure of the PRS angle is : 99°

_________________________________

The length of the x is : 18

So the B is the correct answer.

Step-by-step explanation:

20) <

21) <

22)-20,√26,√35,13.5

23)-5.25,3/2,√6,5

24)4³=64

5³=125

perfect squares between them:

8²=64

9²=81

10²=100

11²= 121

Answer:

C: 5/11

Step-by-step explanation:

The top line over the numbers usually mean the numbers are recurring (occurring again and again)

So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)

To solve you convert each option to a decimal and find one that has 0.45 recurring.

A: 4/5 =0.8

B: 5/9 = 0.55...

C: 5/11 = 0.45...

D: 4/9 = 0.44...

Hence, our answer is C.

Answer: It means that the numbers the bar is over repeats. Answer is C

Step-by-step explanation:

For example:

Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.

Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat.  [tex]0.12 \overline {34} = 0.12343434343434...[/tex]

Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...

Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\

To solve your problem, it will be easiest to use a calculator and test each answer.

Choice A:  [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]

Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]

Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]

Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]

The Correct Answer is Choice C

Answer:

25

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

hope that helps :)

and go to sleep already <3

Answer:

B

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

Answer:

width- 22ft : length-51 ft

Step-by-step explanation:

if you add 22+22 its 44 +7 it will give you 51.

that is twice the width+ the 7 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular room is 7 feet longer than twice the width. Then we have

L = 2W + 7

If the room's perimeter is 146 feet. Then the dimension of the rectangle will be

P = 2(L + W)

146 = 2(2W + 7 + W)

73 = 3W + 7

3W = 66

W = 22 feet

Then the length of the rectangle will be

L = 2 x 22 + 7

L = 44 + 7

L = 51 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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Answer:

8576×7=60032

Step-by-step explanation:

Answer:

XDDDDDDDD

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

y= 5(2) -2

y= 10-2

y=8

Answer:

y=8

Step-by-step explanation:

i dont have a step by step