Aannswer..............​

Answer:

L =      [tex]\sqrt{113}[/tex] +4

W =     [tex]\sqrt{113}[/tex] -4

or L = 14.63 ft, and W = 6.63 ft

Step-by-step explanation:

Let L be the length and W the width.

We are told that the "length of a rectangle is 8 feet more than its width:"

L = W+8

Area of the rectangle is given by L*W, and is 97 [tex]ft^{2}[/tex]

L*W = 97

Substituting L=W+8, we get:

(W+8)W=97  [tex]ft^{2}[/tex]

[tex]W^{2}[/tex] + 8W = 97

[tex]W^{2}[/tex] + 8W - 97 = 0

The roots to this equation are:

Only the second gives a positive value, so W = [tex]\sqrt{113}[/tex] -4

Since L=W+8, the length, L, is  [tex]\sqrt{113}[/tex] -4 + 8 or  [tex]\sqrt{113}[/tex] +4

In decimal:

L = 14.63 ft, and W = 6.63 ft

Answer:

31.81%

10.60% per hour

Step-by-step explanation:

88 - 60 = 28

28/88 = .31818181818

.31818181818 = 31.81%

.31818181818/3 = .10606060606

.10606060606 = 10.60%

Answer:

-1n-10

Step-by-step explanation:

EXPLANATION:

Use PEMDAS it will show u from where to start first and you will end up with the right result

PEMDAS : Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

2(-3n-5) + 5n

distribute 2 in the parantheses

-6n-10+5n

-1n-10

Step-by-step explanation:

such problems are always the combination of areas of simple figures.

in our case here the simplest way seems to me to calculate the area of the whole 15×15 square (the side lengths are 15 and 9+6 = 15) and then subtract the small 6×6 square (top left), the small 6×3 triangle (bottom right) and the larger 6×9 triangle (top right).

we know that the left side of the main square is 9+6 = 15.

we know that the missing side piece (top right) is also 6 (like its left side). and the right side piece is 15-6-6 = 3.

that is how we know the side lengths of the missing pieces.

so,

15×15 = 225 cm²

the small square is

6×6 = 36 cm²

the large triangle is

6×9/2 = 3×9 = 27 cm²

the small triangle is

6×3/2 = 3×3 = 9 cm²

so, the total area of the figure is

225 - 36 - 27 - 9 = 153 cm²

Let's solve your system by substitution.

2x−2y=−4;2x+y=11

Rewrite equations:

2x+y=11;2x−2y=−4

Step: Solve2x+y=11for y:

2x+y=11

2x+y+−2x=11+−2x(Add -2x to both sides)

y=−2x+11

Step: Substitute−2x+11foryin2x−2y=−4:

2x−2y=−4

2x−2(−2x+11)=−4

6x−22=−4(Simplify both sides of the equation)

6x−22+22=−4+22(Add 22 to both sides)

6x=18

6x/6 = 18/6

(Divide both sides by 6)

x=3

Step: Substitute3forxiny=−2x+11:

y=−2x+11

y=(−2)(3)+11

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer:

7y

Step-by-step explanation:

GCF for 21xy+14y is: 7y

because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,

so 7y.

Check:

7y(3x+2)

7y*3x + 7y*2

21yx + 14y

true

Answer:

[tex]3/4[/tex]

Step-by-step explanation:

We are asked to find the difference which means we will be using subtraction.

We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).

To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4

[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]

now we can subtract the numbers and simplify!

[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]

Answer:

Use Substitution.

Plug in 2x-3 in place of y in the second equation.

4x - 3(2x-3) = 31

4x - 6x + 9 =31

           -9     -9

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

-2x=22 so x=-11

Then, y=2(-11)-3, so y=-25

So the solution would be (-11,-25).

Step-by-step explanation:

is the variable alone?

No

what is it attached to?

you always do adding or subtracting first so it is attached to 3

How is it attached?

by subtraction

what is the inverse operation?

it is addition

then all you do is the same thing but with multiplication or division

Hi!

We can solve this using the substitution method.

Given:

[tex]y=2x-3\\4x-3y=31[/tex]

Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:

[tex]4x-3(2x-3)=31[/tex]

Now, we can algebraically solve this for [tex]y[/tex]

[tex]4x-3(2x-3)=31[/tex]

Distribute.

[tex]4x-6x+9=31[/tex]

Add like terms.

[tex]-2x+9=31[/tex]

Subtract [tex]9[/tex] from both sides.

[tex]-2x=22[/tex]

Divide both sides by [tex]-2[/tex]

[tex]x=-11[/tex]

Now plug in that value to the first equation:

[tex]y=2(-11)-3[/tex]

Multiply.

[tex]y=-22-3[/tex]

Subtract.

[tex]y=-25[/tex]

The solution is (-11, -25)

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]

Answer:

400 miles

Step-by-step explanation:

150---3

  x --- 8

x= (150)(8) / 3 = 1200/3 = 400

Hope this helps

Answer:

x=400 miles

Step-by-step explanation:

Answer:

what kind of term is this

Step-by-step explanation:

I think its the third one

Answer:

[tex]1\frac{1}{7}[/tex]

Answer:

4x+3y=23

Step-by-step explanation:

4x+3y=23

2x+6y=34 multiply equation by 2 to get x values equivalent, so

4x+12y=68 now subtract firs equation from this

-(4x+3y=23)

so 9y=45 and y=5

now find x:

4x+3(5)=23

4x+15=23

4x=8

x=2

So, hamburgers cost $2 and chicken nuggets $5.

Answer:

See below ~

Step-by-step explanation:

Finding m∠HCG

Finding m∡DF

Answer:

m∠HCG = 45°

m∡DF = 105°

Step-by-step explanation:

  m∠ECD + m∠ECF + m∠FCG

= 45° + 60° + 75°

= 180°

As angles on a straight line always sum to 180°, we can conclude that the line DG is a straight line and the diameter of the circle, and the Point C is the center of the circle.

Assuming that line EH is also a straight line, using the vertical angles are always congruent theorem, m∠ECD = m∠HCG.  

Therefore,  m∠HCG = 45°

We always measure arcs in a counterclockwise direction.

⇒ m∡DF = m∡DE + m∡EF

               = 45° + 60°

               = 105°

Answer:

The answer is B I did this already

Answer:

15 groups would be made.

Explanation:

150 divided by 10 = 15

Answer:

=> 2 × 2 = 4

Step-by-step explanation:

two times two is four

Answer:

2x1=1

2x2=4

so the answer is 4

Step-by-step explanation:

Answer:

C. 5 1/2

Step-by-step explanation:

Hope this helps!

Have a blessed day!!

Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.

The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:

P(X = 7) = (0.95)^6 x 0.05 = 0.0368.

0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

Step-by-step explanation:

3(x² - y²) = 3(x + y)(x -y)

x² - 2xy + y² = (x - y)²

LCM = 3(x + y)(x - y)²

use the formula 2πr

the c bit I did the whole process cuz the diameter is given and for the d bit i thought what you were trying to say is 25 diameter.

hope it helps and don't forget to put the units wherever necessary.!!!!

The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

Calculating the earnings from all the options:

That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)

That means:

Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).

That means, we get:

Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).

Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)

That means:

Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)

or, we get:

Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).

Thus, option D provides the method for max earning.

Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

D

Step-by-step explanation: i took the test

Answer:

The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.

cake

Answer:

5

Step-by-step explanation:

Cross multiply

8n = 40

N = 5

Answer:

n= 5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/10-(4/n)=0
2. Simplify 4/n = after that the equation will be 8/10 - 4/n = 0

3. Simplify 4/5 = after that the equation will be 4/5 - 4/n = 0

Answer: 68 degrees

Step-by-step explanation:

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!