A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?

Answers

Answer 1

Answer:

24 feet

Step-by-step explanation:

Given that:

The length of the rectangle is 6 times the side of a cement square.

Now, this rectangle is formed from 6 squares;

The total area of the path of this square = 96 square feet;

The area of each square now = 96/6 = 16 square feet

Recall that:

Area of a square = S²

where S is the side length

16 = S²

S = [tex]\sqrt{16}[/tex]

S = 4 ft

The length of the path in feet now is: L × w

= 6 × 4

= 24 feet.


Related Questions

I need help on the word problem with

Answers

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?

Answers

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.

Answers

Answer:

x+y=41

x=2y+14

by solving eq

2y+14+y=41

y=27

×=68

Which expression is a difference of cubes?

Answers

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

HELP ASP!!❤️
WILL GIVE BRAINLIEST!...

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify:                        [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add:               [tex]m=\frac{-12}{9}[/tex]Simplify:                        [tex]m=\frac{-4}{3}[/tex]

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

Please help me out!!!!!

Answers

im a little rusty on this but i believe it is y =-(x+3)-5

-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal

Answers

Answer:

-2

Step-by-step explanation:

Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.

Answers

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.

Answers

Answer:

B. Yes, each x value and y value increases by 2.

Which statement explains how to determine if triangle ABC is similar to triangle XYZ?

Answers

Answer:

It is the last one

Step-by-step explanation:

There aren't enough angles

the last one, the angle measures do not add up

T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:

Which expression is equivalent to – (4-3)?

A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)

Answers

Answer:

answer is really hard and small, but I can't help because I don't know,

sorry not sorry

lol

regards,

Rosemary

Brainliest 5 stars Thanks! (running out of time and points sorry)

Answers

The answer is c f(-8)=0

Answer:*******************brainliest

Answers

Answer:

How is your day going lol

Step-by-step explanation:

was this supposed to be a question lol>

help plz it due today

Answers

Answer:

Point A  - 1/2 and - 1/4

Point B  - 2 1/2 and 1 1/2

Point C 1/4 and 1/2

Step-by-step explanation:

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76


it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)

Answers

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

As part of a survey, 300 girls were asked to name their favorite sport. Theresults showed that 12 of the girls named bowling as their favorite sport. Whatpercentage of the girls in the survey named bowling as their favorite sport?

Answers

Answer:

4%

Step-by-step explanation:

12/300

hope this helps

Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even right? Thanks so much love you guys!!!!!!

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is

No 1 is correct

No 2 is correct

No 3 is correct

No 4 is correct

and what i mean by correct is you answered it correct

I hope this helps you :)

Answer:

yes

Step-by-step explanation:

yes it is

it is all correct

3. Solve for a
5(a-2) = 2(10+a)

it’s due by midnight and can you also tell me how you got the answer

Answers

Answer:

a=10

Step-by-step explanation:

distribute on both sides to get

5a-10=20+2a

add/subtract like terms

5a-2a=3a

20+10=30

so the equation is

3a=30

divide 30 by 3 and you get 10

Answer:

a = 10

Step-by-step explanation:

[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]

What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)

Answers

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

What is trigonometric expression?

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Find out more information about trigonometric expression here

https://brainly.com/question/2142049

#SPJ2

Find the slope of the line through
3) (-1, 17). (6, 12)

Answers

slope = 0.75 or -5/7

What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3

Answers

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.

Answers

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59

What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth

Answers

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

1. Order the set of integers {-3, 0, -6,4} from greatest to least.

Answers

Answer:

Greatest     4 > 0 > -3 > -6     Least

General Formulas and Concepts:

Number line

Step-by-step explanation:

Negative numbers are always going to be the smallest while positive numbers will be the greatest

Answer:

4,0,-3,-6

Step-by-step explanation:

integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

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