The perimeter of a rectangle is 80 feet. Find the demensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle.
-Show All Work!-

To find who ran faster, we have to find the speed of Max and Molly

The formula for speed is given as Distance/Time

Max's speed

Distance Max ran  = 50 meters

Time = 30 seconds

Speed = 50 m/30s

= 1.67 meters/second

Molly's speed

Distance Molly ran = 30 meters

Time = 5  seconds

Speed = 30m/5s

= 6 meters/second

Therefore, Max ran faster than Molly with a speed of 1.67 meters/second.

To learn more, visit the link below:

https://brainly.in/question/18112439?tbs_match=1

The product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantities is negative.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

As we know, we can apply the arithmetic operation to any real numbers

Also, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The numbers are:

0.04, -0.9, and 1.5

= 0.04x-0.9x1.5

First, multiply the first two numbers 0.04 and -0.9

= -0.036x1.5

(The multiplication of negative and positive quantity is negative)

= -0.054

Thus, the product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantity is negative.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

In this problem we have a tile with a length of 1 foot by a width of 1 foot

The area of the tile is equal to

[tex]A=LW[/tex]

substitute the values

[tex]A=(1)(1)=1\ ft^{2}[/tex]

Let

z-------> the scale factor

x------> the area of 1/2 tile

y------> the area of the original tile

so

[tex]z^{2} =\frac{x}{y}[/tex]

substitute

[tex]z^{2} =\frac{(1/2)}{1}[/tex]

[tex]z=\frac{\sqrt{2}}{2}[/tex] -----> scale factor

therefore

To find the area of 1/2 tile must multiply the dimensions of the tile by the scale factor

so

[tex]L=1*\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}\ in[/tex]

[tex]W=1*\frac{\sqrt{2}}{2}=\frac{\sqrt{2}}{2}\ in[/tex]

Calculate the area

[tex]A=\frac{\sqrt{2}}{2}*\frac{\sqrt{2}}{2}=\frac{1}{2}\ ft^{2}[/tex]

Martin's method is incorrect because to find the area of 1/2 tile, he multiplies the dimensions by 1/2

so

[tex]L=1*\frac{1}{2}=\frac{1}{2}\ in[/tex]

[tex]W=1*\frac{1}{2}=\frac{1}{2}\ in[/tex]

the area will be

[tex]A=\frac{1}{2}*\frac{1}{2}=\frac{1}{4}\ ft^{2}[/tex]

The solution to the given equation is 6. Therefore, the correct answer is option B.

The given equation is x+6=x+x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x+6=2x

Transpose x to other side of the equation, we get

2x-x=6

x=6

Therefore, the correct answer is option B.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ4

The probability of drawing the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts in that order from a 52-card deck is approximately 1 in 380,204,032.

The subject of the question is the probability of drawing specific cards from a 52-card deck. This problem involves choosing five specific cards: the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts.

To find the probability, we need to consider that the deck contains 52 distinct cards. Assuming that each card is equally likely to be drawn, the probability of drawing any specific card is 1 out of 52 (or 1/52). And because we want to draw these cards one after another, we multiply these probabilities together.

Thus, the probability of drawing these five specific cards from a 52-card deck in this order is (1/52) * (1/52) * (1/52) * (1/52) * (1/52), which is approximately 1 in 380,204,032. Please note that this probability is infinitesimally small because the event is highly specific. Also, the order of the cards matters in this calculation. If the order does not matter, the probability will be higher.

https://brainly.com/question/32117953

#SPJ3

replace x with y and y with x,

the answer is the option A.) Y=log 6x 

Answer:

A

Step-by-step explanation:

edge 2021

The mean is the sum of data given to the total sample size.. The mean, median, mode, and range are -25, -28.-28, and 40 respectively

The mean is the sum of data given to the total sample size.

Mean = Sum of data/sample size
Mean =  -11-28-17-25-28-39-6-46/8
Mean =  -200/8
Mean = -25

Calculate the median

Median is the middle number after rearrangement

-46, -39, -28, -28, -25, -17, -11, -6
From the arrangement, the median of the data is -28

Calculate the mode

The mode is the value with the highest frequency. From the data given, the mode is -28

Range:

Range = highest value - lowest value

Range = -6 - (-46)
Range = 40

Hence the mean, median, mode and range are -25, -28.-28 and 40 respectively

Learn more on measure of dispersion here: https://brainly.com/question/5001250

Answer:

C. J-Shaped graph

Step-by-step explanation:

A. T-Shaped graph

T- shaped graph can represents a rational function or quadratic function

B. S-Shaped graph

S shaped graph represents a cubic function. because it crosses x axis at two points.

C. J-Shaped graph

J shaped graph represents exponential function. the graph of J shape goes on increasing so its an exponential growth

D. Straight horizontal line

Straight line graph represents linear equation.

To calculate Jane's monthly car loan payments, we must determine the amount financed, total of the payments, and monthly payment. After deducting the down payment from the price of the SUV, we find the amount financed. To calculate the total of the payments, we multiply the amount financed by the monthly interest rate. Finally, we divide the total of the payments by the number of months to find the monthly payment.

To find the monthly payments for Jane Smart's car loan, we need to calculate the amount financed, the total of the payments, and the monthly payment.

So, Jane's monthly payment for the SUV is $345.08.

Answer:

its B

Step-by-step explanation:

To determine how often ATM withdrawals must be made for the local savings account to be a better deal than the online savings account, we compare the interest earned and ATM fees. By solving the inequality, it is found that more than $14.06 ATM withdrawals must be made in a year.

To determine how often you must make ATM withdrawals for the local savings account to be a better deal than the online savings account, we need to compare the interest earned from each account and the fees associated with ATM withdrawals. Let's assume the time period is one year.

For the local savings account, you earn interest of 1.75% annually. So, if you deposit $3,750, you will earn ($3,750 * 1.75%) = $65.63 in interest.

For the online savings account, you earn interest of 3.25% annually. However, each ATM withdrawal incurs a fee of $4. Let's assume you make 'x' withdrawals in a year. So, the total interest earned would be ($3,750 * 3.25%) - ($4 * x).

We need to find the point where the interest earned from the online savings account is less than the interest earned from the local savings account. This can be calculated as:

($3,750 * 3.25%) - ($4 * x) < $65.63

Simplifying this inequality, we get:

0.0325 * $3,750 - $4 * x < $65.63

Adding $4 * x to both sides, we have:

0.0325 * $3,750 < $65.63 + $4 * x

Simplifying further, we get:

$121.87 < $65.63 + $4 * x

Subtracting $65.63 from both sides, we have:

$121.87 - $65.63 < $4 * x

Simplifying again, we get:

$56.24 < $4 * x

Dividing both sides by $4, we find:

$14.06 < x

So, you must make more than $14.06 ATM withdrawals in a year for the local savings account to be a better deal than the online savings account.

https://brainly.com/question/31776134

#SPJ11

answer is 1

as Shelley has to live in Boston for only 2 years, she needs to consider that the owner is flexible enough to make 2 year rent agreement and the short term rent of the house.

Other choices are irrelevant. they may be applied while purchasing home with long term aim to stay in the place.

Answer:

His method is incorrect. By finding 1/2 the width and 1/2 the length, if we multiply them , we would get 1/4 of the original area.

Area = 0.5*l*0.5*w = 0.25*l*w = l*w/4

Let us establish

length = l

width = w

Original Area = l*w

Half the area = (a*l)*(b*w) = 0.5*(l*w)

This means that

a*b = 0.5

if b is equal to a, then

a = √0.5  = √2/2 = 0.707

Then,  if a factor of a, where to be introduced in the lenght and width of the tile, we would  obtain  half the area.

The speed of the polar bear is found by dividing the distance swam (390 meters) by the time it took (150 seconds). This results in a speed of 2.6 meters per second.

The subject of your question is related to the calculation of speed, which falls under Physics. The polar bear swims 390 meters in 150 seconds. To find the speed, we apply the basic formula which is Speed = Distance/Time. Here, the distance is 390 meters, and the time is 150 seconds.

So if we divide 390 by 150, we get 2.6 meters per second. This means the speed of the polar bear is 2.6 m/s.

https://brainly.com/question/19930939

#SPJ3

Answer: True

Step-by-step explanation:

I don’t have one I know the answer because I am currently taking the quiz right now.

The Main answer is the function value at [tex]x=12[/tex] is [tex]2[/tex], not [tex]12[/tex], so the point [tex](12,2)[/tex] is not a solution to the equation. Therefore, statement C is false.

The statement that is FALSE based on the lessons about the slope-intercept form of the equation of a line is:

C: The point [tex](12,2)[/tex] is a solution to the equation

To check if a point is a solution to the equation, we substitute the coordinates of the point into the equation and see if it satisfies it. For the given function

[tex]F(x)= (3/4 )x-7:[/tex]

Substituting x=12 into the equation:

[tex]F(12)= 3/4 (12)-7\\F(12)=9-7\\F(12)=2[/tex]

The function value at [tex]x=12[/tex] is [tex]2[/tex], not [tex]12[/tex], so the point [tex](12,2)[/tex] is not a solution to the equation. Therefore, statement C is false.

COMPLETE QUESTION:

Study the function: [tex]F(x)=(3/4)x-7[/tex] and select the statement that is FALSE based on the lessons you have learned about the slope-intercept form of the equation of a line.

A: The slope of the function is .[tex]75[/tex] and would increase from left to right if you were to graph the function on a coordinate plane

B: The y-intercept is [tex](0,-7)[/tex]

C:The point [tex](12,2)[/tex] is a solution to the equation

D:The x-intercept is [tex](10,0)[/tex]

The given series is an arithmetic series with a common difference of 3. The sigma notation for this series is [tex]\[\sum_{n=1}^{5} (1 + 3 \cdot (n-1)).\][/tex]

The given series 1+4+7+10+13 is an arithmetic series, where the common difference between consecutive terms is 3. Sigma notation or summation notation is a way of expressing this long sum in a concise way. The rule for the nth term in your series is

[tex]\(a_n = 1 + 3 \cdot (n-1)\), where \(a_n\)[/tex]

stands for the nth term. So, the sigma notation for this series would be

[tex]\[\sum_{n=1}^{5} (1 + 3 \cdot (n-1)).\][/tex]

https://brainly.com/question/39785771

#SPJ3

The rectangle's length is 12 cm, and the width is 9 cm, calculated by setting up a system of equations using the given perimeter and the relationship between length and width.

To find the length and width of the rectangle when given its perimeter and a relationship between its length and width, we can set up a system of equations. First, let's denote the length of the rectangle as L and the width as W. According to the question, the width is 3 centimeters more than half the length, so we have W = ½L + 3.

Since the perimeter (P) of a rectangle is given by P = 2L + 2W, and we know the perimeter is 42 centimeters, we can set up an equation: 42 = 2L + 2(½L + 3). Simplifying this, we get 42 = 2L + L + 6 or 42 = 3L + 6. Subtracting 6 from both sides gives us 36 = 3L or L = 12 centimeters for the length.

Now we can find the width using the previous relationship W = ½L + 3. Substituting the value of L, we get W = ½(12) + 3 = 6 + 3 = 9 centimeters for the width.

Therefore, the length is 12 centimeters and the width is 9 centimeters.