Solve the equation by factoring. Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 144 m^2m 2. Find the length of each side of the original garden.

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of enlarged garden will be 144 sq meters. Each side will be √144 = 12 meters.

Side of original garden = 12-7 = 5 meters l.


Related Questions

A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30). Find
the value of x.

Answers

Answer:

mmmmmmmmkkkkkkkkkkkkkkkkkk

find the diamtere of a circle if its radius is 96.5cm

Answers

[tex] \huge \blue{\tt{Answer:}} [/tex]

[tex] \sf {diameter = 2\times {radius}} = \sf{2\times{96.5}} = \sf{193~cm} [/tex]

Which statement is true? Select all that apply?
A) 2/7 x 3/8 < 3/8 because 2/7 < 1
B) 2/7 x 3/8 > 3/8 because 2/7 > 1
C) 2/7 x 3/8 > 2/7 because 3/8 > 1
D) 2/7 x 3/8 < 2/7 because 3/8 < 1​

Answers

It’s A and D. Because the equation is bottom smaller than 1.

neeeeed help asappppppp​

Answers

Answer:

first chart   27

second chart  6

Step-by-step explanation:

A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:

Answers

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

Write an expression to show k less than 10

Answers

Step-by-step explanation:

"Write an expression to show k less than 10"

"less than" means that the number is being subtracted from a different number.

This means that "10" is being subtracted from "k"

Thus,

k - 10 is the appropriate expression for the statement, "k less than 10"

ANSWER:   k - 10

answer and show work and ill give brainliest, Steven has one bag that contains three table-tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table-tennis balls lettered A, B, C, and D.

Answers

Answer:

B

Step-by-step explanation:

Assuming Part A is the situation where the bags aren't merged, the probability of drawing a "1" followed by a "B" is (1/3)(1/4) or 1/12. This is because you have a 1/3 chance of getting a "1" and a 1/4 chance of getting a "B".

Now if we merge the bags, we have a 1/7 chance of getting a "1". We then have a 1/6 chance of getting a "B". This is because after we complete the first draw, the bag only has 6 remaining not 7. This gives us a probability of (1/7)(1/6) or 1/42.

So we know the probability will change so C is wrong. In both scenarios, we draw two balls anyways so A is wrong.

This leaves B, which is supported by the reasoning presented above.

find the value 4/25 1/2

Answers

Answer:

2/5

Step-by-step explanation:

we know any number raised to power 1/2 means that we need to find the square root of that number.

(4/25)^1/2= =√(4/25)√4/√25

√4=2

√25=5

√(4/25=2/5

(hope this helps can i plz have brainlist :D hehe)

the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?

Answers

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

The net of a rectangular prism and its dimensions are shown in the
diagram.What is the total surface area of the rectangular prism in square
inches?

PLEASE

Answers

Answer:

286.5 in.²

Step-by-step explanation:

The surface area of the prism = sum of the area of each surface

= (7.5*3) + (11.5*3) + (7.5*3) + (11.5*3) + (11.5*7.5) + (11.5*7.5)

= 22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25

Surface area = 286.5 in.²

how do you simplify 4 ^2 × 4^5 ​

Answers

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.

Answers

24.40 minus 1.90 minus 4.50

what the reciprocal of 7/9 the reciprocal of 9

Answers

Answer:

tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9

hello!

In order to find the reciprocal of a number, we should just flop it over.

If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.

Please consult the formula for more details:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Solve the equation -10(d+1)=-14 I ready, please help ASAP!!

Answers

Answer:

d = 0.4

Step-by-step explanation:

-10 (d + 1) = - 14

=> -10d - 10 = -14

=> -10d = -14 + 10

=> -10d = -4

=> 10d = 4

=> d = 4 / 10

=> d = 0.4

Hope it helps :)

Please mark my answer as the brainliest

In 2010, 8476 earthquakes
ocurred in the united states
of these 91.4% were minor
tremors with magnitude of
3.9 or less on the Richter
scale. How many minor earth
quakes occurred in the United
States in 2010? Round to
the nearest whole number​

Answers

Answer:

7747

Step-by-step explanation:

8476 × 91.4%

=7747

∴ 7747 minor earthquakes occured in 2010

Answer:

Step-by-step explanation:first I don't know

Second I don't know

And finally I don't know

Describe the sequence of transformations that shows a quadrilateral of rstu is similar to quadrilateral VXYZ

Answers

Answer: What does the figure look like exactly?

Step-by-step explanation:

Pls Pls Pls Pls PLs PLS helpppp
I'm giving 45 points if you help

Answers

H= blank will be the answer B

John is a computer salesman. He makes 8% commission on all sales. If John’s sales for the week are $24,300, how much did he earn in commission?

Answers

He made $1 944 in commission

A side of the triangle below has been extended to form an exterior angle of 128° . Find the value of x.​

Answers

Answer:

Step-by-step explanation:

The sum of adjacent angles traversed by a line must equal 180 degrees.

128+x=180

x=52

Answer:

x=52 degrees

Step-by-step explanation:

x=180-128=52 degrees because x is supplementary to 128 degrees.

What is BD? please help bru i keep getting trollers

Answers

Answer:

BD=13

(This must not be drawn to scale)

Step-by-step explanation:

You have to use the Angle Bisector Theorem to get a ratio.

12/x=27/(x+5)

cross multiply

12(x+5)=27x

12x+60=27x

60=27x-12x

60=15x

60÷15=x

x=4

BD=x+x+5=4+4+5=13

Bd =13 that is easy but yuh that’s the answer mate

Please help fast I’ll give u a lot of points
Please say the right answer

Answers

Answer:

Plant A is increasing 2cm each day.

Plant B is increasing 6cm each day

Plant B is increasing 4cm more than Plant A each day.

Help ASAP I’ll give 51 points and anything I need it now pls
7th grade math

Answers

3x-x+2=4 is the answer <3

X^3+9X^2–25X–33=0
Find The root of X??

Answers

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11

pls make sure ur answer is correct

Answers

The answer should be B because when u do the math that is what it figures out too
Answer:  D) 125%

========================================================

In 1985, there were 20 students

In 2005, there were 45 students

This is a change of 45-20 = 25 students.

This amount of change is divided by the original amount 20 to get 25/20 = 1.25 and converts to 125% when you move the decimal point 2 spots to the right.

-------------

If you want, you can use the formula below

x = old value = 20

y = new value = 45

z = percent change

z = [ (y-x)/x ] * 100%

z = [ (45-20)/20 ] * 100%

z = (25/20) * 100%

z = 1.25*100%

z = 125%

The z value being positive means we have a percent increase.

It's possible to have over 100% increase since 100% of 20 is 20. Having a 100% increase means we increased by 20. Since we increased by more than 20, this means the increase must be over 100%.

Which customary unit would you use to measure the amount of flour in
a cake recipe?
1. cups
2. feet
3. fluid ounces
4. inches
5. ounces

Answers

Answer:

cups !!

Step-by-step explanation:

The answer is cups.

What will be the area of this parallelogram?



Include the appropriate unit in your answer.

Answers

Answer:

13.75 square feet

Step-by-step explanation:

all you have to do to find the area of a parallelogram is base * height

= 2.5 * 5.5

= 13.75 square feet

Answer:

13.75 ft^2

Step-by-step explanation:

I) Substitute equation to find the area

a = hb (area = height x base)

a = 2.5(5.5)

II) Solve:

a = 2.5(5.5)

a = 13.75

The area is 13.75 ft^2.

I don't know how to do in phone but will try to make u brainliest if u answer these Q for me..

Answers

Answer:

Step-by-step explanation:

18 cubic units.

:::::

Length = 90÷(6×3) = 10 units

:::::

10 cubes × (4 cm³)/cube = 40 cm³

:::::

2×5×6

and

5×3×4

Which expressions are equivalent to 4/5×15: 5x3, 4x 5/15, 4x3, 3x 15/5, 4x 15/5.

Answers

Answer:

these are the equivalwnt expressions 4/5×15=4×5/15; 5×3=3×15/5

The expression equivalent to 4/5 × 15 is 4×3

What is the BODMAS rule?

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression 4/5×15 thus simplifying it we get

4/5×15= 4×3

           = 12

Hence, The expression equivalent to 4/5 × 15 is 4×3

Learn more about the BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

Dan invests £18790 into his bank account. He receives 5,3% per year simple
interest. How much will Dan have after 7 years? Give your answer to the nearest
penny where appropriate,

Answers

Answer:

697109 pennies

Step-by-step explanation:

First, you use the formula A = P (1 + rt).

R= rate which is 5.3%

T= time which is 7 years.

P is the principle which is 18790

A= is the answer

so first you multiply 7*5.3% which you get 0.371

then you multiply that with 18790 which then you get 6971.09

if you want pennies you multiply it with 100 to get 697109

PLEASE ANSWER CORRECTLY

Answers

Answer:

$76.32

Step-by-step explanation:

First, add up all the costs for everything:

17 + 30 + 25 = 72

Now, we need to add the sales tax. To do this we multiply 72 by 1.06. This is because the sales tax is 6% (the decimal form of 6% is 0.06), and we add it on to the 100% cost (which is 1 in decimal form).

(72)(1.06) = 76.32

Therefore the total cost of everything Walter bought plus the tax rate is $76.32.

I hope this helps!!

- Kay :)

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