The length of a rectangle is 4 inches less than twice its width. If the perimeter of the rectangle is 64 inches, what are the dimensions of the rectangle?

Show work please

Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] =  populion standard deviation.

Given: E = 3.7 , [tex]\sigma=28[/tex]

Critical value for 90% confidence = 1.645

Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]

[tex]n=(12.4486486486)^2\approx155[/tex]

Hence, the required sample size = 155

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

Given :

Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit.

Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour.

To Find :

How fast was Cathy driving.

Solution :

Let, speed of Cathy is v miles per hour.

Number of miles per hour over the speed limit, n = v - 60 miles per hour.

It is given that speeders are fined $15 for each mile per hour over the speed limit.

So, total amount of fine for Cathy is :

105 = 15×( v - 60 )

v-60 = 7

v = 67 miles per hour

Therefore, Cathy was driving with speed of 67 miles per hour.

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

4/9 of the students are boys thus 5/9 students are girls.

Let " x " be the number of all students.

So we have :

5/9 × x = 90

Multiply both sides by 9/5

5/9 × 9/5 × x = 90 × 9/5

1 × x = 9 × 9 × 10 × 1/5

x = 81 × 2

x = 162

_______________________________

number of boys = 4/9 × x

n o boys = 4/9 × 162

n o boys = 162/9 × 4

n o boys = 18 × 4

n o boys = 72

Answer:

The probability is [tex]\frac{729}{100000}[/tex].

Step-by-step explanation:

probability of missing the bus = 1/10

Probability of catching the bus = 1 - 1/10 = 9 /10

So, the required probability is

[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]

[tex]\frac{729}{100000}[/tex]

Answer:

The relationship between weeks and the total amount is:

[tex]y=10x[/tex]

Step-by-step explanation:

We have here a linear relationship between weeks and the total amount. The equation of a line is:

[tex]y=mx+b[/tex]

Where:

We need two points to find the slope.

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

Let's use any pair points from the plot.

[tex]m=\frac{60-40}{6-4}[/tex]

[tex]m=10[/tex]

And we also see that the y-intercept is 0, therefore the equation will be:

[tex]y=10x[/tex]

I hope it helps you!

Answer:

y=10x and Over 4 weeks, Aurora saves $40

Step-by-step explanation:

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

Answer:

D

Step-by-step explanation:

Equilateral acute because all sides are equal

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

9514 1404 393

Answer:

  correct choice is marked

Step-by-step explanation:

The error is in step 2. The square root cannot be distributed to a sum.

reflection, then translation

Answer:

3x + 2y = 5y + 2x -11

-3x                 -3x

2y = 5y -x -11

-5y   -5y

-3y = - x - 11 (divide by -3)

y = - x - 11/3

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:

put them on the points

Step-by-step explanation:

Answer:

-3 1/4 is the answer for this question

Answer:

B

Step-by-step explanation:

the dimensions of the rectangle when its area is 9cm^2

Answer:

C; x*3

Step-by-step explanation:

Answer:

100/100

Step-by-step explanation:

XD

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

Answer: 0.15meters

that the answer

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Answer:

(10x)^2

Step-by-step explanation:

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

Answer:2+6+2+1+3+2+1+1+3+0+4+2=27

27 divided by 12=2.25