the length of a rectangle is 39cm less than five times its width. find the dimensions if the perimeter is 414cm. 2L+2W = P

Answer:

x=2   y=-3

Step-by-step explanation:

We first need to isolate x to get x+2y=-4:x=-4-2y

-4-2y-2y=8

simplify:

-4-4y=8.

We can also do the same for y which is -4-4y=8:y=-3

for the x, we can now substitute it to give us:

x=-4-2(-3)

-4-2(-3)=2

x=2

So, our answers are x=2 and y=-3

Answer:

Step-by-step explanation:

x+2y=-4

x-2y=8                       Add

2x = 4                        Divide by 2

2x/2 = 4/2

x = 2

x + 2y = - 4                Substitute 2 for x

2 + 2y = - 4               Subtract 2 from both sides

2y = - 4 - 2

2y = - 6                     Divide by 2

2y/2 = - 6/2

y = - 3

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

Answer:c

Step-by-step explanation:

I think

Answer:

25%

Step-by-step explanation:

Answer:

1150 sq cm.

Step-by-step explanation:

22*45+20*8= 1150 sq cm.

Answer: 1150 cm^2

Step-by-step explanation:

find the area of the rectangle above the dotted line and the area of the one below the dotted line, then add those areas together

so for the rectangle above the area would be 22 * 45 = 990 cm^2

for the lower one the area is 20 * 8 = 160 cm ^2

now add those two together

990 + 160 = 1150

so the total area of the figure would be 1150 cm^2

hope this helped :))

Answer:

282ft^3

Step-by-step explanation:

The outer box is: 9 x 6 x 8=432

The inner box is: 5 x 5 x 6= 150

432-150=282ft^3

Answer:

First of AOD is verticallly opposite to BoC which makes it 55°

Angle at AoC is 55°+55°+105° minus 360 which is 145° hope this helps

Answer:

11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320

Answer:

False

Step-by-step explanation:

Answer:

a nd c

Step-by-step explanation:

Answer:

OQ

Step-by-step explanation:

The lines would never hit each other going on to infinity making them parallel.

Answer: The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

Step-by-step explanation:

can u mark Brainliest

Answer:

Left skewed

Step-by-step explanation:

The distribution displayed in the boxplot Given is negatively skewed, hence, a left tail skweness. Skewness can be determined in a box plot, if the line of the median cuts or divides the box into unequal halves, such that sides relative to the median are longer Than each other. If the longer side is to the left of the median, we have left skewness; to the right we have right skewness. If the sides are equal, then the distribution is symmetric.

For the scenario above, the longwr side is to the left of the median, hence we have left skewness.

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

To calculate the total cost of the loan, we need to use the Future Value (FV) formula:

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let the rate of interest be represented by r. Given that the annual interest on a $12,000 investment exceeds the interest earned on a $1000 investment by 885. The $12,000 is invested at a 0.5% higher rate of interest than the $1000. Therefore, the equation for the interest can be written as,

$12,000(r + 0.005) - $1,000(r) = $885

12000r + 60 - 1000r = 885

11000r = 825

r = 0.075

r = 7.5%

Hence, the rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

Learn more about Simple Interest:

https://brainly.com/question/2793278

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Answer:

x = 10

5x + 4x = 909x = 909x/9 = 90/9x = 10

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 0.85[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 1.12[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation, [tex]y= -\frac{2}{3} x -5[/tex], the slope of the line is [tex]-\frac{2}{3}[/tex].

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The reciprocal of [tex]\frac{2}{1}[/tex] (which is the same as 2) is [tex]\frac{1}{2}[/tex]. The negative of [tex]\frac{1}{2}[/tex] is [tex]-\frac{1}{2}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, we can determine that the negative reciprocal of [tex]-\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex]. Therefore, the slope of a line perpendicular to the line whose equation is [tex]y= -\frac{2}{3} x -5[/tex] would be [tex]\frac{3}{2}[/tex].

I hope this helps!

Answer:

$14400

Step-by-step explanation:

Given data

Principal= 6000

Time= 14 years

Rate= 10%

Let us use the simple interest expression to find the final amount

A=P(1+rt)

substitute

A=6000(1+0.1*14)

A=6000(1+1.4)

A=6000*2.4

A=$14400

Hence based on a simple interest model the final amount is $14400

Answer: A B and C

Step-by-step explanation:

D has an area of 15 and A B and C have an area of 12.

Answer:

The equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex], whose real vertex is [tex](x,y) = (2, -5.333)[/tex], not [tex](x,y) = (2, -5)[/tex].

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

[tex](x_{1}, y_{1}) = (-2, 0)[/tex], [tex](x_{2}, y_{2}) = (6, 0)[/tex], [tex](x_{3}, y_{3}) = (0, -4)[/tex]

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

[tex]4\cdot a -2\cdot b + c = 0[/tex] (1)

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (2)

[tex]c = -4[/tex] (3)

The solution of this system is: [tex]a = \frac{1}{3}[/tex], [tex]b = - \frac{4}{3}[/tex], [tex]c = -4[/tex]. Hence, the equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex]. Lastly, we must check if [tex](x,y) = (2, -5)[/tex] belongs to the function. If we know that [tex]x = 2[/tex], then the value of [tex]y[/tex] is:

[tex]y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4[/tex]

[tex]y = -5.333[/tex]

[tex](x,y) = (2, -5)[/tex] does not belong to the function, the real point is [tex](x,y) = (2, -5.333)[/tex].

Answer:

Answer is 5 3/4

Step-by-step explanation:

Thanks Hope this helps

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

Answer:

Step-by-step explanation:

using the information on the problem a function can can be made

f(n)= 28000(0.75)×

where x is the amount of years

plug in 4 for x in the equation to get

f(4)=8859.375

Answer:5:55pm

Step-by-step explanation:

7:30-0:20=7:10-1:00=6:10-0:15=5:55pm