The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm? ​

Answers

Answer 1

Answer:

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

[tex]A\ \alpha\ l * w[/tex]

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

[tex]A = k(l * w)[/tex]

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

[tex]60 = k * (4 * 3)[/tex]

[tex]60 = k * 12[/tex]

Make k the subject

[tex]\frac{60}{12} = k[/tex]

[tex]5=k[/tex]

[tex]k=5[/tex]

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]

[tex]A = 5 * 6 * 3[/tex]

[tex]A = 90[/tex]

The area is 90 sq. cm


Related Questions

HURRY , Write the coordinates of the vertices after a reflection across the line x = 5. (will give brainiest)

Answers

Answer:

U: (5,9)

W: (7,9)

V: (6,10)

T: (6,7)

Step-by-step explanation:

What is the best way to answer this mixed number 7 3/4 + 1 5/6

Answers

9514 1404 393

Answer:

  9 7/12

Step-by-step explanation:

12 is a suitable common denominator.

  (7 3/4) + (1 5/6) = (7 9/12) + (1 10/12) = (7+1) +(9/12 +10/12)

  = 8 + 19/12 = 9 + 7/12 . . . . . . change 19/12 to 1 7/12

  = 9 7/12

_____

My calculator works with mixed numbers very nicely, as many graphing calculators do.

Step-by-step explanation:

convert the fractions to whole numbers. the first one is:

4 × 7, then add 3, or 31/4.

the second one is 6 × 1, then add 5, or 11/6.

then you have 31/4 + 11/6. then you make a common denominator, which would be 12 (6 and 4 both go into 12).

3 × 31 = 93, so then the first fractions becomes:

93/12

second fraction becomes 11 × 2 = 22, then:

22/12.

so now you have 93/12 + 22/12 = 115/12, or 9 7/12

A hotel manager is adding a tile border around the​ hotel's rectangular pool. let n represent the width of the​ pool, in feet. the length is 3 more than 3 times the​ width, as shown. Write two expressions that represent the perimeter of the pool.

Answers

Answer:

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

Step-by-step explanation:

We are given that

Let n represent the width of pool

Length of pool=[tex]3n+3[/tex]

We have to find two expression which represent the perimeter of the pool.

We know that

Perimeter of rectangle=[tex]2(l+b)[/tex]

Where l=Length of rectangle

b=Width of rectangle

Using the formula

Perimeter of pool=[tex]2(n+3n+3)[/tex]

Perimeter of pool=[tex]2(4n+3)[/tex]

Perimeter of pool=[tex]8n+6[/tex]

Hence,  two expressions that represent the perimeter of the pool is given by

[tex]2(4n+3)[/tex]

[tex]8n+6[/tex]

simplify (-4/5)^9/(-4/5)^10​

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

We are given two fractions and are asked to simplify it.

So

[tex](-\frac{4}{5} )^9 / (-\frac{4}{5} )^{10}[/tex]

We can follow the exponent rule of subtracting them since both fractions are the same value.

[tex](-\frac{4}{5} )^{9-10}[/tex]

[tex](-\frac{4}{5} )^{-1}[/tex]

Now do the negative exponent rule :

[tex]\frac{1}{-\frac{4}{5} }[/tex]

Move the negative in between the fraction :

[tex]-\frac{1}{\frac{4}{5} }[/tex]

And apply the fraction switcharoo :

[tex]\frac{5}{4}[/tex]

How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3

Answers

Answer:

B

Step-by-step explanation:

C its C hopes this helps

What is the coefficient of x?
8 + 5x - y
5
8
1
-5
A

Answers

Answer:

The coefficient is 5.

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Write the slope-intercept-form of an equation that passes through the point (-2,3), and is parallel to y=-x+5.

Answers

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1

If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π

Answers

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circle is 6 cm. Then the circumference is given as,

C = π x 6

C = 3.14 x 6

C = 18.84 cm

The circumference of the circle with a diameter of 6 cm will be 18.84 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ1

Find the volume of this right rectangular prism. [Type your answer as a number.]
1

Answers

Answer:

200 cm3

Step-by-step explanation:

Multiply 10x4x5=200

solve for the indicated variable in the literal equation ​

Answers

Answer:

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = 5 + 3x[/tex]

Required

Solve for x

Subtract 5 from both sides

[tex]y-5 = 5 -5+ 3x[/tex]

[tex]y-5 = 3x[/tex]

Divide through by 3

[tex]\frac{y}{3} - \frac{5}{3} = x[/tex]

[tex]x = \frac{y}{3} - \frac{5}{3}[/tex]

A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AUB=

Answers

Answer:

1,2,3,4,5,6,7,8,9, and 10

Step-by-step explanation:

they are the union of A and B.

I think i helped mark me as brainlist.

thank you have a nice day

write ⅔of 4 as a fraction

Answers

Answer:

2/3 of 4=8/3or 2 2/3 is your answer

Answer:

I have 2.66667 As a fraction it is 4/1

Step-by-step explanation:

I'm not completely sure I'm new to this :|

A bacteria with an initial size of 180in2 grows by 27% every minute. What will the size of the bacteria be after 8hours

Answers

Answer:

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]F(t) = F(0)(1+r)^{t}[/tex]

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that [tex]F(0) = 180, r = 0.27[/tex]. So

[tex]F(t) = F(0)(1+r)^{t}[/tex]

[tex]F(t) = 180(1+0.27)^{t}[/tex]

[tex]F(t) = 180(1.27)^{t}[/tex]

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

[tex]F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}[/tex]

The size of the bacteria after 8 hours will be of [tex]1.2 \times 10^{52}[/tex] squared inches.

simplify (6²)4.
how to get the answer​

Answers

Answer:

144

Step-by-step explanation:

6^2 = 6x6 = 36

36 x 4 = 144

The answer is 168 bc 6 times 6 is 36 and 36 to the 4th power is is 1679616 but I rounded

You have 14 tbsp of onion powder. You need 2 tbsp to make one serving of spice rub.how many servings can you make

Answers

Answer:

7 servings

Step-by-step explanation:

If you can make the spice rub with 2 tbsp, then divide 14 by 2 to get 7.

If you need reassurance multiply 7 x 2.

solve triangle. round to the nearest tenth​

Answers

Answer:

37.5 ( i didn't round cause the answer looked simple already)

Step-by-step explanation:

formula for triangle is base x height divided by 1/2

Base(5) x Height(15) = 75 now divide by 1/2

75 divided by 1/2 = 37.5

(Could i have brainliest if i'm right?)

0.12 divided by 5.676

Help lol don’t know the answer to this

Answers

the answer is 0.211416

PLS ANSWER IN 5 MINS
I WILL MARK BRAINLIEST
THE QUESTION IS IN THE PICTURE I ATTACHED

Answers

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex] =

^^^hope this helps! :)

An ice cream company fills containers with 64 ounces of ice cream. The acceptable percentage of error in filling each ice cream container is 1.5%.
Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can hold.

64(1.15)

64(1.015)

64(1.5)+64

64-64(1.5)

64(0.015) - 64

64+ 64(0.015)​

Answers

Answer:

i dont know

Step-by-step explanation:

A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Excellent. Assume that the classes of different items are independent of each other and that each item falls into the classes according to the following probabilities:

Poor Acceptable Excellent
0.25 0.6 0.15

The data scientist receives three items produced by the manufacturing process.
Find the chance that:
a. all of items are Acceptable
b. none of the items is Acceptable
c. at least one of the items is Excellent
d. not all of the items are Excellent
e. there is one item of each class

Answers

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

What’s the answer? Please help

Answers

11 Because 2(3) means 2x3 which is 6 and then you add 6 to 5 which gives you 11

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it?
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

7/10= 70%

What is the value of z?
62
Enter your answer in the box.
95

Answers

Answer:

Value of z = 23°

Step-by-step explanation:

Given:

∠1 = 62°

∠2 = 95°

∠3 = z°

Find:

Value of z

Computation:

Using angle sum property

∠1 + ∠2 + ∠3 = 180°

62 + 95 + z° = 180

Value of z = 23°

raiz cuadrada de -200​

Answers

.........Es 14,1421356 i

find the positive zero of the function f(x)=x^(2)-5x-7 and round two decimal places

Answers

Answer:

6.14

Step-by-step explanation:

Given the function f(x)=x^(2)-5x-7, when f(x) = 0

x^(2)-5x-7 = 0

Using the general formula

x = 5±√5²-4(-7)/21(1)

x= 5±√25+28/2

x = 5±√53/2

x = -5±7.28/2

x = 5+7.28/2 and 5-7.28/2

x = 12.28/2 and -2.28/2

x = 6.14 and -1.14

Hence the positive zero is 6.14

HELP ME PLEASEEEEEEEEEE

Answers

Answer: B

Step-by-step explanation: A=πr2

The formula for calculating the area of a circle is A = π​r​2 where pi (π) equals 3.14 and the radius (​r​) is half the diameter.

You must times 5 by 5 because of exponents and then times it by pie

5 times 5 = 25

25 times pie is 78.5

Please show work show i know how you got your answer..have a nice day <3

Answers

Answer:

A : 3080

Step-by-step explanation:

In order to find volume, you have to multiply all the 3 sides. (Multiply height, length and width)

22 x 10 = 220.

220 x 14 = 3080.

Therefore the volume of the water is 3080 in.

Hope this helps!

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.

How many meters of fencing will Steve need?

Answers

Answer: 12 is the awnser

Step-by-step explanation: simple math.

Fill in the blanks: what numbers will make the equation true? 4 * ___ / 6 + ___ = 11 *

Answers

One of the possible answers could be 4*0/6+11=11 because if 0 is put into the first part of the equation, that will make it equal to 0. Then, if you add 11 to 0 it will give you the number equal to 11. There are other possible answers but this is just the first one that I thought of. Hope it helped!

Help ? PLEASE HURRY !

Answers

Answer:

Step-by-step explanation:

Sine of U = 8/17

opposite /hypotensue

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