Yossi used to have a square garage with 354 ft² of floor space. He recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer 1
Original length = sr(354) = 18.8 feet

New length = sr(354 x 1.5) = 23.0 feet

Percent increase = (23.0 - 18.8) / 18.8 x 100 = 22.3%

If you calculate the increase using unrounded values it is 22.4744871%. Close to 22.5%.
Avoid using rounded values in any further calculations!

Related Questions

1 tenth + 2 tenths = blank tenths =

Answers

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

Distrubutive property
(m-3)(-10)?

Answers

Answer: -10m + 30

Step-by-step explanation:

Given expression

(m - 3) (-10)

Expand parentheses and apply the distributive property

=m · (-10) - 3 · (-10)

Simplify by multiplication

=[tex]\boxed{-10m+30}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States

Answers

Answer:

320M

Step-by-step explanation:

It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:

32,000,000 x 10 = 320,000,000

320,000,000 people live in the US.

~

Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)

Answers

Answer:

g(f(x))=x^2 + 14x + 48

Step-by-step explanation:

you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

(g o f) (x) = g ( f(x) )

= (x+7)² – 1

= x² + 14x+49 – 1

= x² + 14x+48

If you want, (f o g ) (x) below is the solution ^_^

(f o g ) (x) = f ( g(x) )

= g(x) + 7

= x²-1 +7

= x² +6

I hope I helped you^_^

Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
How many yards did she get?
A. 9.25 yards
B. 10.05 yards
C. 8.45 yards
D. 8.25 yards

Answers

Answer:

D

Step-by-step explanation:

All we need to do is divide the values we are given.

12.21 / 1.48 = 8.25

Best of Luck!

the answer is d; 8.25 yards

A factory makes 3.65 meters of masking tape every second. How many meters of masking
tape can the factory make in 4 seconds?

Answers

Answer:

i think 14.6

Step-by-step explanation:

pls mark bainlyest

Are the following equivalent -3x=-x-2x

Answers

Answer:

Yes.

Step-by-step explanation:

By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.

Answer:

Yes They are Equivalent.

Step-by-step explanation:

R.H.S (Right Hand Side)

- x - 2x

=> 3x = L.H.S(Left Hand Side)

calculus graph please help

Answers

Answer:

See Below.

Step-by-step explanation:

We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).

Part A)

f is increasing whenever f' is positive and decreasing whenever f' is negative.

Hence, f is increasing for the interval:

[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]

And f is decreasing for the interval:

[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]

Part B)

f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.

f' turns from positive to negative at x = -2 and x = 1.

And f' turns from negative to positive at x = -1 and x = 3.

Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.

Part C)

f is concave up whenever f'' is positive and concave down whenever f'' is negative.

In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.

Hence, f is concave up for the interval (rounded to the nearest tenths):

[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]

And concave down for the interval:

[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]

Part D)

Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.

In other words, f has an inflection point wherever f' has an extremum point.

f' has extrema at (approximately) x = -1.5, 0, and 2.2.

Hence, f has inflection points at x = -1.5, 0, and 2.2.

Help!
Which expression is equivalent to—

Answers

Answer:

2a

Step-by-step explanation:

[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]

➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]

➡️ [tex] = 2a[/tex] ✅

What element in the domain has image 7 in the function f(x) = x²– 2?

a. 3 b) 9 c) -1 d) 4

Answers

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

A. 3 is the right answer.

State the gradient of the line perpendicular to the line y=3x-2

Answers

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?​

Answers

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

WILL MARK AS BRAINLIEST

Answers

Answer:

... uhh I'm only in middle school but uhh I think 25??

One number is 7 more than 4 times another number if the sum of the numbers is 22 find the numbers

Answers

Answer:

3 and 19

Step-by-step explanation:

The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.

Small number= x= 3

Big number= 4x+7= 12 + 7 = 19

if radius of circle is decreased by 50% its area is reduced by

Answers

Answer:

0.25 or 25%

Step-by-step explanation:

because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%

43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).

Answers

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

  y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

  y = 7

convert 40meters to centimeters

Answers

Answer:

4000 centimeters

Step-by-step explanation:

40 cm x 100 = 4000 cm

please help me to find out the answer because I have to show my hw to my teacher​

Answers

Answer:

2a^3 + 24ab^2

Step-by-step explanation:

yes that is the answer 100%

The true answer is
2a(12b2+a2)

2a(a2+4ab+4b2-(a2-4b2)+a2-4ab+4b2

2a(a2+4b2-a2+4b2+a2+4b2)

How would I graph this?

Answers

The difference between the two equations is the + 3. This means the vertex of the parabola will move 3 units to the left at the point (-3, 0)

A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.

Answers

The answer is 7.

To prove whether this is correct or not, just test it with the given conditions,

7x4+4=46.

Does 2x23=46?

Yes.

So, therefore,

The answer is 7.

Answer:

x=13

Step-by-step explanation:

6x+4=82

6x=78

Write in decimal form 0x100+ 6x10+ 5x1+ 2x(1/10+ 1x(1/00+ 4x(1/1000

Answers

Answer:

65.214

Step-by-step explanation:

0*100+6*10+5*1+2*(1/10+1*(1/100+4*(1/1000

0+60+5+2(1/10+1(1/100+4(1/1000

65+(0.2+0.01+0.004

65+0.214

65.214

Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61

Answers

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29

Which of the following is a reciprocal of 5

Answers

Hi :)

The reciprocal of 5 is 1/5.

Every number has a reciprocal except 0.

For example

5/1 is just 5 but the reciprocal of that would be 1/5.

Essentially flipping the fraction.

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.

Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].

There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?

Answers

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES

In the cylinder r = 8 cm and h = 4 cm what is it volume by cm

Answers

Answer:

804.25 cm³

Step-by-step explanation:

V = πr²h

V = π * (8 cm)² * 4 cm

V = 3.14159 * 64 cm² * 4 cm

V = 804.25 cm³

Please Help Me I Will Give Brainliest

Answers

Answer:

Top left option

Step-by-step explanation:

There are a total of 10 boxes so

x + y = 10

The question states that x = 20 pound boxes and y = 30 pound boxes

20x + 30y = 280

A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost of the pen? ​

Answers

Answer: D

Step-by-step explanation:

$7 = cost of book

(p) = cost of pen as a variable

add them together, for total price: $9

7+p=9


The radius of a circle is 4.0 millimeters. Find the diameter,
??

Answers

the answer is 8. that’s it plain and simply. brainly makes you put 20 characters so these are just to fill that void. d=8 though

In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________

Answers

Find the percentage of the people who like Chocolate = chocolate/ total x 100

Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)

A full circle is 360 degrees.

The central angle = percentage of chocolate x 360:

0.416666 x 360 = 150

The central angle for chocolate is 150 degrees

evaluate x^2 when x=5

Answers

Answer:

25

Step-by-step explanation:

x = 5

x^2 = 5^2 = 5*5 = 25

Answer:

25

Step-by-step explanation:

5*5=25

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