The ratio of length to width of a rectangle is 5:2. If the perimeter of the rectangle is 42, what are the length and width of the rectangle?

Answers

Answer 1

Answer:

The ratio of length to width of a rectangle is 5:2,

So let take length is 5y and width is 2y.

If the perimeter of the rectangle is 42

perimeter of the rectangle = 42

2(length + width) =42

2(5y + 2y) =42

2(7y)=42

14y =42

y= 42/14

y= 3

so,

length is 5y = 5x3 =15

width is 2y. = 2x3 =6

Step-by-step explanation:


Related Questions

Plz help me it’s a little difficult

Answers

Answer:

4x - 20 because x + x + x + x is 4x

hope this helped and brainliest please

what is the GCF of 20 and 6x^2

Answers

Answer:

2

Step-by-step explanation:

Write an equation for the function that includes the points ( 1, 4/5) and ( 2, 2/3).

Answers

Answer:

f(x) = -2/15x + 14/15

Step-by-step explanation:

Slope = (2/3 - 4/5)/(2 - 1)

= (10/15 - 12/15) = -2/15

Plug in a known point (into y=mx+b) to find y-intercept:

4/5 = -2/15(1) + b

12/15 = -2/15 + b

b = 14/15

Formulate:

f(x) = -2/15x + 14/15

Help fast plz 100 points!

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The given function is a downward-facing parabola

The vertex of the function is at (-3, -4) and the function become 1-on-1 after x = -3.

1-to-1 at [-3, inf.)

And to find the inverse, swap positions of x and y:

[tex]f(x) = -\sqrt{-x-4}-3[/tex]

...and if you switch the order of the numbers, you get the function in choice C

expressions.
1) What is the product of the two polynomials?
A) -3x2 - 22x - 24
B) 3x2 - 22x - 24
-3x2 - 14x - 24
D) -3x2 - 22x + 2

Answers

Answer:

A) -3x2 - 22x - 24

Step-by-step explanation:

In ASTU, the measure of ZU=90°, the measure of ZS=16°, and TU = 5.9 feet. Find
the length of ST to the nearest tenth of a foot.

Answers

Answer: 21.4

Step-by-step explanation:

I WILL GIVE THE BRAINLIEST

Answers

I’m not really sure but I think it’s 180

The paths walked by two different people are represented by the vectors graphed below.

Which point represents the sum of the two paths?

A
(3,6)

B
(6,11)

C
(8,11)

D
(8,6)

Answers

Answer:

8,6

Step-by-step explanation:

if its the sum, you just add them together.

I got The answer is 8,11

What is the measure of angle 6? Please help :(

Answers

Answer:

hhhhhhhdjskafwlsgsksyskdkhdjdjjdjh

If y’all could pls explain how to do this and give the answer

Answers

The answer is 19 for IL

which set of numbers includes only whole numbers !
only 54 mins left on my test please hurry!

Answers

2,5,6,15 hope this helped lol

Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?

Answers

Answer:

you 3.15+5 es igual a 8 .15

Step-by-step explanation:

espero que te sirva

2. The population of Valdosta is 56,474 people. If the area of Valdosta is 36 mi?, what is the population density?

Answers

Answer:

Population density = 1569 persons per mile.

Step-by-step explanation:

Population density is a measure of how crowded or uncrowded a specific piece of land in a geographical location or country is.

Given the following data;

Total population, N = 56,474 people

Area, A = 36 mi

To find the population density;

Population density = N/A

Population density = 56474/36

Population density = 1568.72 ≈ 1569 persons per mile.

Therefore, the population density of Valdosta is 1569 persons per mile.

Answer:

1569 persons per mile

Step-by-step explanation:

Hope this helps

Jeff's shipping service charges $8 for the first package and $2 for each additional package. Use a linear equation to determine the cost to ship 8 packages.

Answers

Answer: 22

Step-by-step explanation:

The linear equation to determine the cost to ship 8 packages is x=22.

Given that, Jeff's shipping service charges $8 for the first package and $2 for each additional package.

What is a linear equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form linear equation is Ax+B=0.

Let the total charge be $x.

Now, x=8+(8-1)2

⇒x=8+14

⇒x=22

Therefore, the linear equation to determine the cost to ship 8 packages is x=22.

To learn more about the linear equation visit:

https://brainly.com/question/27664510.

#SPJ2

basically everything is in the picture PLEASE HELP me ASAP and I'll give you the BRAINLIEST PLS HELP IM BEGGING.​

Answers

54.45 is the correct answer

Answer:

54.45in^2

Step-by-step explanation:

^2 is squared

Solve the following equation for 0 ≤ ѳ< 2π. Show your work.

sec^2ѳ-6=-4

Answers

Answer:

Step-by-step explanation:

sec²θ-6 = -4

sec²θ = 2

1/cos²θ = 2

cos²θ = ½

cosθ = ±1/√2 = ±√2/2

θ = π/4, 3π/4, 5π/4, 7π/4

A solid has 20 vertices and 30
edges. How many faces does
it have?

Answers

Answer:

12 Faces

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 faces is the answer !!

In cos(0.3), what unit would 0.3 be? Is it radians? Also if you were to solve it, would the answer be in radians as well? Please explain.

Answers

Answer:

22

Step-by-step explanation:

Answer:

Depends on what math you are doing

Step-by-step explanation:

I believe in Trig you use radians while in Geometry you use degrees.

a girl is three years older than his brother. the product of their ages is 54, find their ages​

Answers

Answer:

The sister is 25.5. The brother is 28.5.

Step-by-step explanation:

25.5 + 28.5 = 54.

The boy's age is 9.

The girl's age is 12.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Boy's age = x

Girl's age:

y = x + 3

Now,

x (x + 3) = 54

x² + 3x - 54 = 0

x² + (9 - 6) - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0

x = 6

x + 9 = 0

x = -9 ( cannot be negative)

Now,

x = 9

Boy's age = 9

Girl's age = 9 + 3 = 12

Thus,

The boy's age and the girl's ages are 9 and 12.

Learn more about expressions here:

https://brainly.com/question/3118662

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When fourteen different second-year medical students measured the blood pressure of the same person, they obtained the result listed below. Assuming that the population standard deviation is known to be 9, construct and interpret a 99% confidence interval estimate of the population mean.
Data: 128 121 129 128 123 137 138 147 122 144 125 140 134 125

Answers

Answer:

The 99% confidence interval estimate of the population mean is between 125.3 and 137.7. This means that we are 99% sure that the true population mean, that is, the mean blood pressure of all second-year medical students, is in this interval.

Step-by-step explanation:

The first step is finding the sample mean, which is the sum of all 14 blood pressures, divided by 14. So

[tex]S = \frac{128 + 121 + 129 + 128 + 123 + 137 + 138 + 147 + 122 + 144 + 125 + 140 + 134 + 125}{14}[/tex]

[tex]S = 131.5[/tex]

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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.

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 = 2.575\frac{9}{\sqrt{14}} = 6.2[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 131.5 - 6.2 = 125.3

The upper end of the interval is the sample mean added to M. So it is 131.5 + 6.2 = 137.7

The 99% confidence interval estimate of the population mean is between 125.3 and 137.7. This means that we are 99% sure that the true population mean, that is, the mean blood pressure of all second-year medical students, is in this interval.

Add the rational expression​

Answers

Add the rational expression

[tex] \sf \large{ \frac{3}{6x {}^{3} } + \frac{4x}{2x}}[/tex]

[tex] \sf \large{ \frac{1}{2x {}^{3} } + 2}[/tex]

[tex]\sf \large \purple{ = \frac{4x {}^{3} + 1 }{2x {}^{3} }}[/tex]

is 5x equivalent to x plus 5

Answers

It is not, because the former is a product and the latter is addition.

Answer:

No

Step-by-step explanation:

<3

"13 less than two-thirds of a number"

Answers

The answer to your question is 13<2/3

Answer:

[tex]\frac{2}{3}x-13[/tex]

Step-by-step explanation:

Please write an inequality for the graph above.​

Answers

[tex]x\leq 0[/tex]

fill the dot for including equality

point to left for "smaller than"

can someone go over my work please? thanks!​

Answers

Answer:

Good job they are all right!

Step-by-step explanation:

Given the following table, determine the missing value.
a. 1.15
C 15
b. 115
d. .15

Answers

Answer:

it's c because it's the missing value

The Answer is C because it’s the only thing missing !

Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
5 cm
7 cm
9 cm
11 cm

Answers

area of rectangle is length x width
area of smaller rectangle
9x5=45
area of large rectangle
11x7=77
77-45=32
11x7 = 77
5x9 = 45
77-45 = 32 sq, cm
Hope that helped :)

Please I need help on this!!

Answers

Answer:

A. 4

Step-by-step explanation:

For each of the values given for A, B, C, and D, you substitute the value in for m in the inequality.

2.5(4)+5 would have to be less than or equal to 25 in order for it to work.  Well, 2.5x4 is 10 and then if you add 5, it is 15.  15 is less than 25, so 4 is the only value that works.  The other numbers are too large if you substitute them into the equation.

Ramona is a travel agent whose salary is $3,500 a month. She also receives a 6% commission on vacation package sales. For the month of January, she sells $4,200 in vacation packages. In total, how much money did Ramona earn for the month of January?

Answers

Answer:

add 3,500 to 4,200 then divide or multiply or subtract by a number or add to find your answer just like my question

Step-by-step explanation:

What does the following symbol mean in mathematics? For example, on the pyramid
shown below, what does it mean?

Answers

Answer:

The cursive l stands for slant height. It is the altitude of the triangular side

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