Melissa wants to expand her rectangular sandbox that measures 4 feet by 8 feet. Two sides of the sandbox are against a fence. She wants to increase the length and the width of the sandbox by the same amount on the two sides that are not against the fence. The total area of the new sandbox will be 60 square feet. What is the amount of increase?

Answers

Answer 1

Answer:

The amount with which she should increase the length and the with of the sandbox is 2 feet each

Step-by-step explanation:

The dimensions of Melissa's rectangular box are;

Width of the box = 4 feet

Length of the box = 8 feet

The total area of the new sandbox, A = 60 square feet

Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;

The area of the new sandbox, A = The new length × The new width

A = 60 ft.²

The new length = 8 + x

The new width = 4 + x

∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32

60 = x² + 12·x + 32

60 - 60 = 0 = x² + 12·x + 32 - 60

∴ x² + 12·x - 28 = 0

(x + 14)·(x - 2) = 0

x = -14 or x = 2

Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet

The amount of increase of the length and the width of the sandbox, x = 2 feet each.


Related Questions

what is the correct claim

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Answer:

Claim 1

Step-by-step explanation:

ASAP
-WILL MARK BRIANIST
thank you <3

Answers

Answer:

d

Step-by-step explanation:

D
12-x
12 less than x which than equals whatever number

The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?​

Answers

Answer: You are correct. The answer is C) 7

This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.

Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

42.50

Step-by-step explanation:

50 x.15 =7.50 discount

50 (original price)-7.50 (discount)=42.50 (sales price)

PLEASE HELP!!! MATH 14.1 The law of sines

Answers

Answer:

[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]

[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]

➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

# ꧁❣ RainbowSalt2²2² ࿐

Answer: Law of Sines


Have a good day

THIS TOO GOD I NEED HELP SO BAD I DONT UNDERSTAND

Answers

Answer:

54.7

Step-by-step explanation:

16.7 + 11 + 11 + 8 + 8 = 54.7

Note

I don't know how you are wrong but I showed my work and I got the same answer which is weird.

An item is regularly priced at $35. Salma bought it on sale for 95% off the regular price. Find how much Salma paid.​

Answers

Answer:

1.75

Step-by-step explanation:

35x.95=33.25 discount

35-33.25=1.75

Letty has $5 in nickels, dimes, and quarters. She has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels. How many of each does she have?

Answers

Answer:

Letty has 15 quarters, 15 nickels, and 5 dimes.

Step-by-step explanation:

Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation:

Nickel = 5

Quarter = 25

25/5 = 5

Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes.

3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1

15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5

Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.

Can someone help me solve this. 6÷2(1+2)=​

Answers

Answer:

9 is the correct answer

Step-by-step explanation:

please mark me as brainlist for the fast answer thanks

The answer is 9. I hope this helped!

A coin is flipped 3 times. What is the probability that it lands on heads exactly 3 times? Write your answer as a reduced fraction (numerator/denominator).

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

three tries so your demonater is 3, 1 chance so numerator 1

Write the rule for the following situation
Johnny gets a job at enterprise rent-a-car. He has an hourly wage of $10 per hour and makes $100 for every car he rents out. Assuming he only rents out one car,
write a rule to tell how much money he can make in a day, depending on how many hours he works.

Answers

Answer:

M(t) = ($10/hr)t + $100

Step-by-step explanation:

M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car.  Then:

M(t) = ($10/hr)t + $100

A card is drawn from a five-card hand. The cards are labeled A, B, C, D, F. Then a spinner with 3 sections labeled as 1, 2, 3 is spun. What is the sample space?

Answers

Answer:

The sample space is the set of all the possible outcomes of a given experiment.

Here, our experiment consists on:

Drawing a card from a five-card hand, such that the outcomes there are:

A, B, C, D, E  (5 outcomes)

Followed by spinning a spinner with 3 sections labeled 1, 2 and 3 (3 outcomes).

The total number of outcomes of the combined event, is equal to the product between the numbers of outcomes for each event.

So for our experiment, the total number of outcomes is:

C = 5*3 = 15 outcomes.

And these outcomes are like:

Drawing the card A and spinning a 1 (represented with A-1)

Drawing the card C and spinning a 2 (represented with C-2)

etc.

The set of all possible outcomes are:

{A-1, A-2, A-3, B-1, B-2, B-3, C-1, C-2, C-3, D-1, D-2, D-3, F-1, F-2, F-3}

someone please help asap

Answers

Answer:

Hello! answer: 135 degrees

Step-by-step explanation:

Its forming a straight line so

180 - 45 = 135 therefore x = 135 hope that helps!

Answer:

Step-by-step explanation:

x+45=180 degree(being straight line)

x=180-45

x=135 degree

which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x

Answers

the answer is b 5x+14

[tex]\boxed{B.\:5x\:+\:12}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

square root of 7396 by division method​

Answers

Answer:

the square root of 7396 by long division method is 86

What describes a statistical sample?

Answers

Answer:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Answer:

Heya Buddy!

Step-by-step explanation:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

Hope that helps..

Take care..

Bye!

The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle

Answers

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

Aircraft A has 126 more seats than aircraft B. If their total number of seats is 440 ​, find the number of seats for each aircraft.

Answers

Answer:

Aircraft A = 283 seats

Aircraft B = 157 seats

Step-by-step explanation:

Aircraft A = B + 126

Aircraft B

A + B= 440

B + 126 + B= 440

Collect the like terms

B+B+126= 440

2B+126= 440

2B= 440-126

2B= 314

B= 157

Substitute 157 for B in equation 1

A= B+126

A= 157+126

A= 283

Hence Aircraft A has 283 seats and Aircraft B has 157 seats

Write the equation of the line in fully simplified slope-intercept form

Answers

The equation of the line is y=-x+2

please please help!! i don’t know how to do this

Answers

Answer:

What is your question I will not see and understand

Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation

Answers

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

The diameter of a circle is 20 ft. Find its area in terms of T.
Answer: A=
ft2
Submit Answer
7

Answers

Answer:

314.2ft^2

Step-by-step explanation:

Given data

Diameter= 20ft

Radius r= 20/2= 10ft

The expression for the area is

A= πr^2

A= 3.142*10^2

A= 3.142*100

A= 314.2ft^2

Hence the area is 314.2ft^2

does anyone know hot to find the area?

Answers

Circle = (pi)r²
So, (pi)22²
(pi)484
=1520.53084

If you’re using 3.14 for pi instead of the symbol on the calculator, the answer will be slightly different

on Monday, there were 18 chickens and 12 sheeps in a field. there were no other animals in the field. what was the ratio of chickens to sheep i the field on monday?


Answers

Answer:

18:12

Step-by-step explanation:

The ratio of chickens to sheep in the field on monday is 2 : 3.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, On Monday, there were 18 chickens and 12 sheeps in a field.

Therefore, For every 18 chickens there is 12 sheeps in the feild.

So, Monday's chickens to sheep ratio in the field is,

Chicken : Sheep = 12 : 18.

Chicken : Sheep = 4 : 6.

Chicken : Sheep = 2 : 3.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

PLEASE HELP ME !! I NEED TO PASS !!

Answers

Answer:

216 ft squared

Step-by-step explanation:

[tex]18*12=216ft^{2}[/tex]

216 feet squared / C

Marking brainliest

Why is this right important

Answers

It’s pretty much just saying up front that there will be no bias on people because of race, gender, ethnicity, religion, etc. It’s just setting in stone the fact that any sort of discrimination or prejudice will not be tolerated at all.

Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?

Answers

24.25 lawns to be honest i dont know how you can mow 25% of a lawn but here we are

Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325 ¿Cuánto dinero gano Luis?

Answers

Answer:

Ganancia total= $7.182

Step-by-step explanation:

Dada la siguiente información:

Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325.

Primero debemos calcular cuanto gana con cada celular:

Ganancia unitaria= 325 - 268

Ganancia unitaria= $57

Ahora, la ganancia total:

Gnanacia total= 57*126

Ganancia total= $7.182

Help, please!! I don’t have much time

Answers

Answer:

B.

Step-by-step explanation:

. Solve: ⅔ x ¾ . Do not forget to simplify! *

Answers

Answer:

[tex]\frac{1}{2}[/tex] or 0.5

Step by Step Explanation:

1. Multiply the Numerators and Denominators

[tex]\frac{2}{3}[/tex] [tex]\frac{x}{x}[/tex] [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{12}[/tex]

2. Simplify

[tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

3. Solution

[tex]\frac{1}{2}[/tex] or 0.5

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