After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left
over. She used all the leftover sand to fill the second sandbox.
. The second sandbox has a base in the shape of a rectangle.
The base of the second sandbox has a perimeter that is less than 35 feet.
The groundskeeper filled the second sandbox to a height of 6 inches.
What could be the length and width, in feet, of the second sandbox?

Answers

Answer 1

Answer:

Length could be 14.05 ft and width 3.41 ft.

Step-by-step explanation:

The volume of the sand in the second box = 24 ft^3.

Let its base be x feet wide and y feet long.

Then  2(x + y) < 35.

The volume of sand = 0.5xy ft^3.

So 0.5xy = 24

xy = 48.

x = 48/y

Substituting ih the above inequality:

2(48/y + y) < 35

96/y + 2y < 35

2y^2 - 35y + 96 < 0

Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.

So the length  could be 14.05 ft and the width 48/14 = 3.41 ft.

Answer 2

The length could be 14.05 ft and the width will be 3.41 ft.

What is volume?

The volume of the sand in the second box = 24 ft³.

Let its base be x feet wide and y feet long.

Then  2(x + y) < 35.

The volume of sand = 0.5xy ft^3.

So 0.5xy = 24

xy = 48.

x = 48/y

Substituting the above inequality:

2(48/y + y) < 35

96/y + 2y < 35

2y² - 35y + 96 < 0

Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.

So the length could be 14.05 ft and the width 48/14 = 3.41 ft.

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Related Questions


solve for j
PLEASE SHOW WORK IF YOU CAN

Answers

Answer:

j = 15

Step-by-step explanation:

The angles shown form a straight line

Angles on a straight line must add up to 180 degrees

Hence, 2j + 32 + 6j - 2 + 30 = 180

( note that we just created an equation that we can use to solve for j )

We now solve for j using the equation we created.

2j + 32 + 6j - 2 + 30 = 180

step 1 combine like terms

2j + 6j = 8j

32 - 2 + 30 = 60

we now have 180 = 8j + 60

step 2 subtract 60 from each side

60 - 60 cancels out

180 - 60 = 120

we now have 120 = 8j

step 3 divide each side by 8

120 / 8 = 15

8j / 8 = j

we're left with j = 15

The answers is j=15

if 5k - 14= 26, then what is k?

Answers

Answer:

k = 8

Step-by-step explanation:

5k - 14 = 26

5k - 14 + 14 = 26 + 14

5k = 40

5k ÷ 5 = 40 ÷ 5

k = 8

what is the explicit formula for the nth term of the geometric sequence? -2,-16,-128,-1024

Answers

Answer:

an = a1 * [tex]8^{n-1}[/tex]

Couldn't find a subscript function so

an= a subscript n

a1 - a subscript 1

Step-by-step explanation:


Do coins are flipped 60 times, and the outcomes are recorded in the table. For which outcome was experimental probability close to the theoretical probability?

Answers

One head one tail

Please mark brainliest
one head one tail hdjdhjdjdjdj

2 2/3 divided by 4 1/4​

Answers

Answer: your answer is 32/51

Step-by-step explanation:

Answer:

[tex] \frac{32}{51} [/tex]

Step-by-step explanation:

[tex]2 \frac{2}{3} \div 4 \frac{1}{4} [/tex][tex] \frac{8}{3} \div \frac{17}{4} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] \frac{8}{3} \times \frac{4}{17} [/tex][tex] \frac{8 \times 4}{3 \times 17} [/tex][tex] \frac{32}{51} [/tex]Hope it is helpful...

2 x (126 + 2566)
(65 - 23) + 3

Answers

Answer:

226131

Step-by-step explanation:

use calculator

Answer:

226131

Step-by-step explanation:

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as
Daniel.
Let k be Kevin's age and let d be Daniel's age.
Which system of equations renresents this situation?

Answers

Answer:

k - 2 = 4d - 8

d + 1 = 4d - 8

Step-by-step explanation:

Daniel's age = d

Kevin's age = k

Given that, k = d + 3 -------------- (1)

Two years ago, the age of Daniel = d - 2

Two years ago, the age of Kevin = k - 2

Since,  two years ago, Kevin was 4 times as old as

Daniel, k - 2 = 4(d - 2)

Opening the bracket,

k - 2 = 4d - 8

Since the value of k is d + 3 (see (1))

d + 3 - 2 = 4d - 8

d + 1 = 4d - 8

(I am just giving the answer cause I LOVE Linear Equation )

1 + 8 = 4d - d

9 = 3d

9/3 = d

3 = d

Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

Thank You

Please mark me as brailiest                

                       

Combine like terms. What is a simpler form of each expression?
-3(4y - 8) – 4y

Answers

Answer:

A) -16y+24

Step-by-step explanation:

Distribute -3 with 4y and -8

-12y+24-4y

Add -12y and -4y

-16y+24

Answer is -16y+24

Hope this helps!

i want to find out how many fish food boxes can fit into the shipping box my answer is 36 but i need help finding out how many and if im right {25 PTS}

Answers

Answer:

you have to

Step-by-step explanation:

Answer:

2700 I think?

Step-by-step explanation:

Um 3/ 1/4 = 12 and 3 3/4 / 1/4 = 15 so 15 * 12 * 15 is 2700

The output is five times the input increased by four. Translate this to an equation.

(Will give brainliest if correct.)​

Answers

Answer:

Y will be output and x is input

y = (x * 5) + 4

I think this is right.

The rule for converting ounces is to multiply pounds by 16. How many ounces are in 15lbs?

Answers

9514 1404 393

Answer:

  240 oz

Step-by-step explanation:

  (15 lb) × (16 oz/lb) = (15×16) oz = 240 oz

There are 240 ounces in 15 pounds.

What value of x makes the equation true? 16 + (18+ 10) = (x +18) +10 x=​

Answers

Answer:

x=16

Step-by-step explanation:

16+18+10=44

18+10+x=28+x

44-28=x

x=16

The product of two consecutive even integers is 36 less than 18 times their sum. Find the two integers

Answers

Answers:

There are two possible outcomes

The integers are 0 and 2The integers are 34 and 36

If your teacher wants only positive integers, then go for the second scenario.

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

Explanation:

x = smaller integer

x+2 = larger integer

We can see that x+2 follows directly after x, so they are consecutive. Also, there's a gap of 2 units between the values. This is due to the phrasing "consecutive even" instead of just "consecutive".

Their product is x(x+2) = x^2+2x

Their sum is x+(x+2) = 2x+2

The product is 36 less than 18 times their sum, which means,

product = 18*(sum) - 36

x^2+2x = 18(2x+2) - 36

x^2+2x = 36x+36-36

x^2+2x = 36x

x^2+2x-36x = 0

x^2-34x = 0

x(x-34) = 0

x = 0 or x-34 = 0

x = 0 or x = 34

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

If x = 0, then x+2 = 0+2 = 2

The product is x*(x+2) = 0*2 = 0

The sum is x+(x+2) = 0+2 = 2

If we multiply the sum by 18, then we get 18*2 = 36. Subtracting off 36 leads to 36-36 = 0

Therefore the equation below

product = 18*(sum) - 36

has been satisfied

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

If x = 34, then x+2 = 34+2 = 36

product = x*(x+2) = 34*36 = 1224

sum = x+(x+2) = 34+36 = 70

then we can see that...

product = 18*(sum) - 36

1224 = 18*(70) - 36

1224 = 1260 - 36

1224 = 1224

So that works as well.

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

There are two possible outcomes

Either the integers are 0 and 2

OR

the integers are 34 and 36

The cost of a phone is reduced by 20%. The new cost is $70.40. What was the original price?

Answers

Answer:

.8x = $70.40

x = 70.4/.8

x = $88

Step-by-step explanation:

1-2/34 is the answer I jus need the points sorry

brett colors 25% percent of the total shapes on the paper he colors 6 shapes enetr the number of shapes on bretts paper


HELP QUICK PLS

Answers

Answer:

24 shapes

Step-by-step explanation:

Answer:

24 shapes I hope this helps :)

Step-by-step explanation:

pls answer correct or i will ban you
And I will mark brainlist whoanewers correct​

Answers

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

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

To summarize so far, we have these three facts

angle CAB = angle CADAC = ACangle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

Which method is correct to finding the next number in pattern

Answers

Answer: D

Hope this helps ;)

someone help me................

Answers

alright i think it is 6.8

Answer:

[tex]-z^{2} =-25[/tex]

Step-by-step explanation:

The value of z is given as [tex]-5[/tex]

The expression is given as [tex]-z^{2}[/tex]

Substitute the value of z in the expression:

[tex]=-(-5)^{2}[/tex]  {add the value inside the bracket to avoid mistakes}

[tex]=-1[/tex] × [tex](-5)^{2}[/tex]

[tex]=-1[/tex] × [tex]((-5)[/tex] × [tex](-5))[/tex]

[tex]=-25[/tex]

Based on the figure below, what is the value of x? (5 points) A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees.

Answers

Answer:

Hello! answer: 9

Step-by-step explanation:

Assuming this is a complementary angle (meaning it will add up to 90 degrees)

5 × 9 = 45 45 + 15 = 60 60 + 30 = 90 therefore x = 9 Hope that helps!

I don’t see a figure.

have completed 816 miles which is 46% of the trail. Can you find about how many miles for the total trip?

Answers

Answer:

1773.91 miles

Step-by-step explanation:

Given data

Completed miles= 816 miles

Percentage completion= 46%

Let the total distance be x

Hence

46% of x= 816

let us find x

46/100*x= 816

0.46x=816

x= 816/0.46

x= 1773.91

Therefore the total distance is 1773.91 miles

someone please help me with this math question

Answers

Answer:

3rd one

Step-by-step explanation:

Find the value of x.

Answers

Answer:

100

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

5+x  +75 = 180

Combine like terms

x+80 = 180

Subtract 80 from each side

x +80-80=180-80

x = 100

Answer:

x=100°

Step-by-step explanation:

(5+x)°+75°=180°(being a straight line)

x=100°

8 of 8
Work out the mean for the data set
below:
2.3, 0.3, 7,6.1, 9.7
Give your answer as a decimal.

Answers

Answer:

Mean = 5.08

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

[tex] \frac{2.3 + 0.3 + 7 + 6.1 + 9.7}{5} [/tex]

[tex] = \frac{25.4}{5} [/tex]

= 5.08

What is the difference in the volume of a cylinder having a radius of 4 and a height of 8, and the volume of a rectangular prism having dimensions of length = 10, width = 7 and height = 6? Use 3.14.
Round to the nearest hundredth.

Answers

Answer:  18.08

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

Work Shown:

The cylinder has volume of...

V = pi*r^2*h

V = 3.14*4^2*8

V = 401.92

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

The rectangular prism has a volume of...

V = L*W*H

V = 10*7*6

V = 420

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

Subtract the two results:

420-401.92 = 18.08

The cylinder has roughly 18.08 more cubic units of volume compared to the rectangular prism.

Answer:

volume of cylinder: V=Sđ*h=R^2*3.14*8

volume of rectangular prism: V=Sđ*h=10*7*6

Please do the calculations yourself for the above 2 calculations  

Step-by-step explanation:

SOMEONE PLS HELP ME FIND X

Answers

Answer:

step one you look at the question until you find the ex cuz it says 125 degrees and 125 degrees 2x

Answer:

x = 50

Step-by-step explanation:

The sum of all entire angles in this, esentially a pentagon, add up to 540

To find x, use the following

540 = 125 + 125 + 90 + 2x + 2x

540 - 125 - 125 -90 = 4x

200 = 4x

200 / 4 = x

50 = x

Which figure represents the image of trapezoid LMNP after a reflection across the x-axis

0 Figure A
0 Figure B
0 Figure C
0 Figure D

Answer: A

Answers

Answer:

A point has the coordinates (m, 0) and m ≠ 0.

Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis

a reflection of the point across the y-axis

a reflection of the point across the line y = x

a reflection of the point across the line y = –x

Step-by-step explanation:

11/n=8/5 solve for n

Answers

Answer:

n = 55/8

Step-by-step explanation:

[tex]\frac{11}{n} = \frac{8}{5}\\\\cross \ multiply :\\ 8 \times n = 11 \times 5\\\\n = \frac{11 \times 5}{8} = \frac{55}{8}[/tex]

Answer:

[tex]n=\frac{55}{8}[/tex]

Step-by-step explanation:

First, cross multiply

[tex]\frac{11}{n} =\frac{8}{5}[/tex]

[tex](11)*(5)=8*n[/tex]

[tex]55=8n[/tex]

Now, flip the equation

[tex]8n=55[/tex]

Divide both sides by 8

[tex]\frac{8n}{8} =\frac{55}{8}[/tex]

[tex]n=\frac{55}{8}[/tex]

hope this helps :)

Find the value of x.
A.) 34
B.)23
C.)56
D.)14

Answers

Answer:

x = 23°

Step-by-step explanation:

90 = 3x - 9 + x + 7

90 = 4x - 2

92 = 4x

x = 23°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The whole thing = 180 and the left side = 90 so the right must be equal to 90.

Using this info, we can combine so (3x - 9) + ( x + 7) = 4x - 2.

4x - 2 is equal to 90 as that is the right side. So we have to use the different properties of equality.

4x - 2 = 90
+ 2 + 2

4x/4 = 92/4

X = 23! So the answer is B.

The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

d=11.7

Step-by-step explanation:

Patterns are made using straight lines and arcs.

Pattern A (one row)
Pattern B (two rows)

More rows are added to Pattern B so that
number of straight lines : number of arcs = 7:6

How many rows are added?

Answers

5 rows were added to pattern B

5 rows are to be added in the pattern if the ratio will be 7:6 between number of straight lines.

What is a pattern?

A pattern is a sequence. It can be an AP, GP also.

How to determine the number of rows to be added?

present ratio between number of straight lines and number of arcs

=8:9

When we add 1 row it will increase 4 straight lines and 3 arcs. So when 5 rows are added it will increase 20 straight lines and 15 arcs.

Then total number of straight lines will be 28 and the total number of arcs will be 24 and the ratio will be 28:24 which after dividing by 4 becomes 7:6.

Hence 5 rows are to be added in the pattern B to get the ratio 7:6.

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