The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width, find the dimensions of the garden

Answer:

12. 5x

13. 5/x-z

Step-by-step explanation:

12. product means multiplication so multiply 5 by x= 5x

13. quotient means division and difference means subtraction. so you divide 5 by x-z= 5/x-z

Answers:

[tex]\huge \boxed{{12. \ 5x}}[/tex]

[tex]\huge \boxed{{13. \ \frac{5}{x-z} }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The product is the result after multiplying values together.

The product of 5 and x is:

[tex]5 * x[/tex]

[tex]5x[/tex]

The quotient is the result after dividing values together.

The difference is the result after subtracting values together.

The quotient of 5 and the difference of x and z is:

[tex]\displaystyle \frac{5}{x-z}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x + 1, find f(x+3)

f(x+3) = x + 3 + 1 = x + 4

Answer: f(x+3)=x+4

Step-by-step explanation:

f(x)=x+1

f(x+3)=(x+3)+1 ⇔ substitute x

f(x+3)=x+3+1 ⇔ take of parentheses

f(x+3)=x+4 ⇔ simplify

Hope this helps!! :)

Please let me know if you have any question

Answer:

The new balance on his card is $-449.57

Step-by-step explanation:

He starts by owing $474.43 which is -474.43

First, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43

, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15

, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15Now he owes the bank $380.15

Next, he purchased 2 more items for $38.39 and $31.03 which indicates -380.15 - 38.39 - 31.03.

-380.15 - 38.39 - 31.03 = -449.57

Therefore he owes the bank $449.57 now

Hope this helped ~

Your local smart crackhead

Answer:

Answer:

B

Step-by-step explanation:

First to find the sample mean

Xbar= summation x/n= 40/4= 10

The sample standard deviation is:

S= √summation(x-xbar)²/ n-1

=√6/3= 1.4142

The degrees of freedom

df= N-1= 4-1= 3

For 95% confidence level, critical value of t

t= 3.182

The 95% confidence interval is:

=Xbar plus or minus t' *8/√n

= 10 plus or minus 3.182(1.4142/√4)

= 10plus or minus 2.25

So 7.75 or 12.25

Answer:

Carla has been running 7 miles each day for 13 days.

Step-by-step explanation:

Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.

Let the number of days she ran 7 miles each day = x

Total distance run by Carla = 3 + 5 + 7(x)

                                             = 8 + 7x

If her log book shows that she has run total distance = 99 miles

Equation representing her total run will be,

8 + 7x = 99

7x = 99 - 8

7x = 91

x = [tex]\frac{91}{7}[/tex]

x = 13 days

Therefore, Carla has been running 7 miles each day for 13 days.

Answer:

a line starting at -6 going to the left of this number, and with an open circle around the -6.

Step-by-step explanation:

To solve for this inequality, we need to isolate "x" on one side of the inequality symbol (<):

4 x + 8 < -16

subtract 8 from both sides:

4 x < -16 - 8

4 x < - 24

now divide both sides by 4 to get rid of the 4 that appears multiplying "x":

x < - 24/4

x < - 6

To graph this inequality one needs to highlight all the real numbers of the number line to the left of the value -6, making sure that one draws an open circle around the -6 because we don't want this number to be included (notice that x < -6 implies x-values strictly smaller than -6)

Then one would draw a line starting at -6 going to the left of this number, and with an open circle around the -6.

In edg:

A & B

A: StartFraction x over 2 EndFraction less than 1 or StartFraction 4 x minus 2 over 2 EndFraction greater than or equal to 13.< 1 or ≥ 13

B: 3x – 3 < 3 or 2x + 8 ≥ 22

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

Answer:

(0,3) and (1,-1)

Answer:

C on edge 2020

Step-by-step explanation:

For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.

y = -4x + 3

A-(-1, 1)

B-(0, -3)

C-(1, -1)

D-(2, 11)

Answer:

We need to add to the $3.00 we have at the start, what they gave him:

He started with $3.00 and received $10.00:

3.00 + 10.00 = $13.00

Then (when having $13.00) received $30.00:

13.00 + 30.00 = $43.00

Then (when having $43.00) received $100.00:

43.00 + 100.00 = $143.00

Then (when having $143.00) he had another $7.00:

143.00 + 7.00 = $150.00

The answer is $150

I initially had $3

My mom gave me $10

= $10+$3

= $13

My dad gave me $30, my aunt and uncle also gave me $100

= $100+$13+$30

= $143

I had another $7

= $7 + $143

= $150

This makes it a total of $150

Hence the amount i have is $150

Please see the link below for more information

https://brainly.com/question/17490143?referrer=searchResults

Answer:

8-7x=-43.

-7x= -43-8.

-7x= -51.

x= 7.285714286~7.3

Answer: The number is -5 or its value is equivalent to -5.

Step-by-step explanation:

So we are given the equation:

eight subtracted from seven times a number is -43

So we have to find what that unknown number is. We can do this by adding 8 to -43 which gives us -35. Now divide -35 by 7, and your answer is -5.

So the number is -5 or its value is equivalent to -5.

Answer:

Coplanar is when all 3 points are on the same plane

Noncoplanar is when they are not

For ex:

Coplanar->

.x, .z, and .s are all on the plane R

Noncoplanar->

.x, and .z are on plane R

.s is on plane Y

Answer:

75.408 ft

Step-by-step explanation:

In 20 minutes, the angle swept by a minute hand is calculated as

(20/60) x 360° = 120°

The length of the minute hand = 36 ft

To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.

we use the expression

Distance moved by the tip of the minute hand d = (θ/360) x 2πR

where

θ is the angle swept in the 20 minutes = 120°

R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.

R = 36 ft

substituting values, we have

d = (120/360) x (2 x 3.142 x 36) = 75.408 ft

The tip of the minute hand moves 0.21 ft in 20 minutes.

The minute hand sweeps an arc of length L given by

L = Ф/360° × 2πR where

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πR

L = 1/3°/360° × 2π × 36 ft

L = 1/(3 × 360) × 2π × 36 ft

L = 1/(3 × 10) × 2π ft

L = 1/30 × 2π ft

L = 1/15 × π ft

L = 3.1416/15 ft

L = 0.2094 ft

L ≅ 0.21 ft

So, the tip of the minute hand moves 0.21 ft in 20 minutes.

Learn more about length of an arc here:

https://brainly.com/question/8402454

Answer:

a

[tex]N = 222[/tex]

b

[tex]0.36< p <0.44[/tex]

c

No we  can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n = 555[/tex]

   The  percentage that enjoyed statistics is [tex]\r p = 40% = 0.40[/tex]

Generally the number of student who say they enjoyed statistics is mathematically represented as

        [tex]N = 0.40 * 55[/tex]

=>     [tex]N = 222[/tex]

Given that the confidence  level  is  95%  then the  level of significance is mathematically represented as

        [tex]\alpha = ( 100-95)\%[/tex]

=>    [tex]\alpha = 0.05[/tex]

The critical value  of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table  is  [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

 The  margin of error is mathematically represented as

             [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p (1 - \r p )}{n} }[/tex]

=>          [tex]E = 1.96 * \sqrt{ \frac{0.40 (1- 0.40 )}{ 555} }[/tex]

=>.       [tex]E = 0.04[/tex]

The 95% confidence interval is mathematically represented as

            [tex]\r p - E < p < \r p + E[/tex]

=>        [tex]0.40 - 0.04 < p <0.40 + 0.04[/tex]

=>         [tex]0.36< p <0.44[/tex]

No we  can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%

Answer: (2, -1)

Explanation: Since one equation has a -5y and the other equation

has a +5y, when we add the equations together, the y's will cancel out.

So we have 5x = 10 and x = 2.

To find y, plug 2 back in for x in either of the two original equations.

I have chosen to plug 2 into the second equation to get (2) + 5y = -3.

Solving from here, y = -1.

So our final answer is the ordered pair (2, -1).

Now, check your answer.

Answer:

A.

Step-by-step explanation:

Suppose you want to equate an expression to zero:

[tex]\[\begin{array}{l}20 - 10y - 7y + 9 = 0\\29 - 17y = 0\\17y = 29\\y = \frac{{29}}{{17}}\end{array}\][/tex]

Answer:

An Irrational number is a number that cannot be expressed as the ratio of two integers.

Example: [tex]\pi[/tex]

its numbers are infinite

Answer: C, y^5 + 13x + 12

Step-by-step explanation:

A trinomial is a polynomial that consists of three terms. y^5 is one term, 13x is the second, and 12 is the third term. Each term is separated by an operator (ie +,-,*, etc). Constant terms are terms that do not change. In this case, your constant term is 12.

Answer:

C

Step-by-step explanation: A trinomial has 3 terms and a constant term is just a number.

Answer:

  70

Step-by-step explanation:

Here, you're expected to round the numbers to the nearest 10, then do the subtraction:

  92.1 -18.56 ≈ 90 -20 ≈ 70 . . . estimated answer

Answer:

13 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the hypotenuse. The Pythagorean Theorem is used to find a missing side to a right triangle.

The theorem states that [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs, and c is the hypotenuse.

The legs of this triangle are already states - 5 and 12, so we can plug it's values into the formula.

[tex]5^2 + 12^2 = c^2\\\\25 + 144 = c^2\\\\169 = c^2\\\\c = \sqrt{169}\\\\c=13[/tex]

So the hypotenuse of this triangle is 13 cm.

Hope this helped!

Answer:

Answer: approximately -1.63 and -7.37

Step-by-step explanation:

First of all, let's expand the parenthesis by multiplying x into both of its terms.

[tex]x(x+9)+12 = 0\\x^2+9x+12=0[/tex]

We get the equation:

[tex]x^2+9x+12=0[/tex]

The quadratic formula looks like this

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

where the equation is of the form

[tex]ax^{2}+bx+c=0[/tex]

Comparing this to our equation above,

[tex]x^2+9x+12=0[/tex]

we can see that

[tex]a = 1\\b= 9\\c= 12[/tex]

Let's put these values into the quadratic formula.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-9\pm\sqrt{9^2-4*1*12}}{2*1}\\x=\frac{-9\pm\sqrt{9^2-48}}{2}\\x=\frac{-9\pm\sqrt{81-48}}{2}\\x=\frac{-9\pm\sqrt{33}}{2}\\x=\frac{-9\pm\ 5.744...}{2}\\x=\frac{-9\pm\ 5.744...}{2}\\x_{1}=\frac{-9+5.744...}{2}=\frac{-3.255...}{2}=-1.62771867\\x_{2}=\frac{-9-5.744...}{2}=\frac{-14.744...}{2}=-7.3722813\\[/tex]

Answer: approximately -1.63 and -7.37

You can also choose not to approximate the square root of 33, and you'd receive the answers:

[tex]x_{1}=\frac{-9+\sqrt{33}}{2}\\x_{2}=\frac{-9-\sqrt{33}}{2}[/tex]

Answer:

Hey there!

11 is greater than 14.

Positive numbers are greater than negative numbers.

Hope this helps :)

Answer:

(6.3*10³) ÷ (1.8*10⁵)

6.3*10³ = 0.063*10⁵

then:

(6,3*10³) ÷ (1.8*10⁵) = (0.063*10⁵) ÷ (1.8*10⁵)

= 0.063/1.8

= 0.035

0.035 = 3.5 *10⁻² = 35*10⁻³

Answer:

deciding that the claim is true

Answer:

S infinity= -51/4

Step-by-step explanation:

First term

ar= -9

Fifth term

ar⁴= 1/3

Solving for the value of the r and a

ar= -9

ar⁴= 1/3

Dividing each other

r³=1/3 * -1/9

r³=-1/27

r= 3√-1/27

r= -1/3

Solving for a

ar= -9

a(-1/3)= 9

a= 9*-3

a= -27

Sum of a go to infinity is given by the formula

S infinity= a/(1-r)

S infinity= -27/(1-(-1/3))

S infinity= -27/(1+1/3)

S infinity= -27 * 3/4

S infinity= -51/4

Answer:

-19

Step-by-step explanation:

Let's assume we are owing two people 6 dollars  and the other person 13 dollars u have no gain

Answer:

1.) 10 is R, Q, Z, W, N

2.) 5/6 is R,Q,

3.) sqrt 24 is I

4.) 0 is R, Q, Z, W

5.) none, neagative sqrt are imaginary.

Answer:

2.65

Step-by-step explanation: