The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.

The length of the rectangle is ___ in.
The width of the rectangle is___.

Answers

Answer 1

Answer:

Length = 16 in

Width = 12 in

Step-by-step explanation:

Given:

Area of a rectangle = 192 in²

Ratio(length to width) = 4:3

Find:

Length and the width

Computation:

Ratio(length to width) = 4:3

So,

Length = 4a

Width = 3a

Area of a rectangle = Length x Width

192 = 4a x 3a

192 = 12a²

a² = 16

a = 4

Length = 4a = 4 x 4 = 16 in

Width = 3a = 3 x 4 = 12 in


Related Questions

14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?
A. log6 = log2 x log3 = 0.3010 x 0.4771
B. log6 = log2 + log3 = 0.3010 + 0.4771
C. log6 = log2 – log3 = 0.3010 – 0.4771
D. log6 = log2 = log3 = 0.3010 = 0.4771

Answers

Answer:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Step-by-step explanation:

log 2 = 0.3010

log 3 = 0.4771

log 6 = ?

6 = 3 * 2

log 6 = log (3 * 2)

According to log rules;

log (a * b) = log(a) + log (b)

This means;

log 6 = log 3 + log 2

Inserting the values they represent;

log 6 =  log 3 + log 2 =  0.4771  + 0.3010

Correct option:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003

Answers

Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).

Answers

Answer:

To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance

Step-by-step explanation:

Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm

Answers

Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

can someone plz help me and answer in the comment section https://brainly.com/question/22652599

Answers

Answer:

3rd on 6 feet

Step-by-step explanation:

PLEASE HELP!!! :(
Consider the following figure
What is BD? ​

Answers

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

PLS HELP (MARKING BRAINLIEST)

Answers

Answer:

there is a fraction calculator you can use

https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

please mark brainliest if this was useful ♡

what is the slope of this line?

Answers

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

find the area of the figure

Answers

Answer:

the area is 34 in to that round up

Step-by-step explanation:

the answer is 27 in

Help what is the value

Answers

Answer:

I love you 3566267840 and pas 123456

Division sum:
20 ➗ 2 =

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20/2 = 10

What the answer I nee this so I can move to the 9th grade

Answers

Answer:

el un angulo recto,   la concha de tu hermana

Step-by-step explanation:

no seas boludooo

I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)

Answers

It's hard to explain by words so sorry if you don't understand. For the graphing part, starting from (-3, 0), plot points in (1, 2), (6, 3), and connect them. The end of a line should be (10, 3.5). You will understand better if you use graphing calculator.

The answer of a second question is {x|x is greater or equal to -3.

image below thx god bless you :)

Answers

Answer:

C

Step-by-step explanation:

what ever way the <  >   is facing that is the way you "shaded" and if the <  >  has a line under it the # that has the circle the Circle will be colored in if the <  > does not have a line under it then its a open circle

Answer:

The answer is C

Step-by-step explanation:

the reason why it is C is because this > symbol is facing towards the left.

Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.

The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:

= 85 miles - 63 miles

= 22 miles

Find the sum.
5y+2/xy^2 + 2x-4/4xy

Answers

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5


What is the value of 7P3?
021
35
210
840

Answers

Answer:

210

Step-by-step explanation:

The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

Hope This Help?

Please Mark Me Brainly!

What is the volume of the prism?
*Do NOT round your answer.

Answers

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

[tex]Volume=lwh[/tex]

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=300in³

The figure shows the graphs of the functions y = f(x) and y = g(x) . The four indicat points all have integer coordinates. If g(x) = f(x) + k, what is the value of k?

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

2

Step-by-step explanation:

4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6

Answers

Answer:

No clue what the answer is...

Is the number 0.1875 rational or irrational

Answers

rational...............

If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?

Answers

Answer:

[tex]56\ \text{km/h}[/tex]

Step-by-step explanation:

[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]

[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]

Average speed is given by

[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]

[tex]\Rightarrow s=\dfrac{336}{6}[/tex]

[tex]\Rightarrow s=56\ \text{km/h}[/tex]

The average speed of the driver is [tex]56\ \text{km/h}[/tex].

Felipe planted some seeds for a science project. One of his plants grew 6 1/2 inches in the first week, and then it grew 5 3/4 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible. *ill give brainliest*

Answers

Answer:

12 1/4

Step-by-step explanation:

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

Linear inequality systems graphically

Answers

To graph the solutions of a system of inequalities, graph each inequality and find the intersections of the two graphs.

3-4/5X-2/3–3/15+3/5divided by -3/2

Answers

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?

Answers

Answer: See explanation

Step-by-step explanation:

We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:

x² + 3² = 5²

x² + 9 = 25

x² = 25 - 9

x² = 16

x = ✓16

x = 4cm

The other leg is 4cm

Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.

Monthly grocery cost based on the average number of shopping trips is predicted using the least-square regression line, ŷ = 275.3 + 90.7x, where ŷ represents the predicted monthly expense and x represents the average number of trips. A shopper visits the grocery store an average of 3.2 times and has a monthly cost of $520. What is the residual for the shopper?

45.54
76.47
−45.54
−76.47
90.7

Answers

Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

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