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.

To know more about volume follow

https://brainly.com/question/15607324

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Related Questions

whats 2+2 then subtracting 3 which you then add 4 more?

Answers

Answer:

5

Step-by-step explanation:

2+2-3+4=5

(2+2)=4

(4-3)=1

(1+4)=5

PLZ HELP ILL GIVE BRAINLY!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])

=(3)^2-([tex]\sqrt{2[/tex] )^2

=9-2

=7

The correct answer is C

The numbers m, n, p, and q are different, and
each is equal to one of the numbers 1,2,3,6, or 12. If 2m 69 = 2n= = P, what is the value of p?

Answers

Confused a bit, can you make sure you copy and pasted it right?

Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope through 2 points

m = ( y2-y1)/(x2-x1)

   = ( -4 - -3)/(3 - 3)

    = ( -4+3)/(3-3)

    = -1/0

Since it is a number divided by zero, the slope is undefined

I NEED HELP ASAP PLEASE !!!!!

Answers

The answer is okay X=6

12 men or 15 women can do a piece of work in 21 days find the number of days to complete the same work by 6 men and 10 women​

Answers

18 days required to complete same work by 6 men and 10 women.

Given: 12 men or 15 women can complete work in 21 days
To find: Days it takes to complete same work by 6 men and 10 women

Solution:
12 men = 15 women ⇒ 1 man
Men = women
Men =
15 women can finish the work by 21 days
6 men = women
6 men =
6 men and 10 women = =
women can finish the work= = 18 days.

Hope I helped have a good day

someone help plsplspls

Answers

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

what is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

Answers

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]

And we want to find the remainder after it is divided by the binomial:

[tex]x+4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]

The remainder will be 6.

Help me for 40 points. Thank you very much

Answers

Answer:

answer is 11/16 plz give me brainlist

What is the perimeter of a rectangle whose length is 1472 m and breadth is 1072 m ?

2472 m
4872 m
25 m
50 m

Answers

Answer:

5088 is the perimeter of the rectangle.

Answer:

5088 is the right answer

The formula of perimeter of rectangule is 2(l+b)

So, l=1472 b=1072

2(1472+1072)

2(2544)

2×2544 IS 5088

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)

Answers

Answer:

100(a/b)

Step-by-step explanation:

Fraction

a/b

To a percent

100(a/b)

Answer:

100(a/b)

________________

took the test review

(got 100%)

1\tfrac{2}{5} \div \frac{8}{9}
1 5/2 ÷ 9/8

Answers

Answer:

Step-by-step explanation:

What you wrote below the top line and the bottom line are not the same thing.

I think you really want the second line, but one can't be sure.

(1*2 + 5)/2 div (9/8)

7/2 // 9/8

7/2 * 8*9

7*8/18 = 56/18 = 28/9

If you really do want the top line (the latex) it is different.

1 2/5  div (8/9)     Is there such a thing as tfrac? I didn't know this but there is.

(1*5 + 2)5 // (8/9)

7/5 // 8/9             Invert the bottom fraction and multiply

7/5 * 9 / 8

63 / 40

1 23/40

Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.

Answers

Answer:

y=-2/3*x+1/3

Step-by-step explanation:

-6x+4y=-12

put into y=mx+b line equation

4y=6x-12

y=(6/4)x-(12/4)

y=(3/2)x-4

slope is 3/2

to find perpendiular line slope take the negative inverse.

-(2/3) = slope of perpendicular line

use line equation and solve for y-intercept (b)

3=(-2/3)*(-4)+b

3=8/3+b

b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.

If f(x) = 3x + 4, what is the value of f(-4)?

Answers

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

identify the postulate (if any) that can be used to show the two triangles are congruent.

Answers

Answer:

Step-by-step explanation:

1)  SSS

2) SAS

3) SSA

4) SSA  

no, don't say  Angle Side Side... :P  

between what two consecutive integers is 17?

Answers

Answer:

No solution

Step-by-step explanation:

17 is an integer that is in between the integers of 16 and 18

16 and 18 are not consecutive integers.

No solution

Can someone please help me out with my homework
ASAP I WILL GIVE OUT BRAINLY

Answers

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?


Angles 5 and 6 are not next to each other and sum up to 180°.

Angles 5 and 6 are not next to each other and sum up to 90°.

Angles 5 and 6 are next to each other and sum up to 180°.

Angles 5 and 6 are next to each other and sum up to 90°.

Answers

Answer:

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Can someone simplify? I'm confused-

Answers

(64/56)^2 x (1/343) x 7^-9

=9.44x10^-11

find the value of a and b in x^2+2x=13

Answers

Answer:

a =1  and b =2

Step-by-step explanation:

The standard quadratic is written in the form

ax^2 +bx+c =0

x^2 +2x -13 =0

a =1  and b =2

Sabe-se que o preço a ser pago por uma corrida de táxi inclui uma parcela fixa, que
é denominada bandeirada, e uma parcela variável, que é função da distância percorrida. Se o preço
da bandeirada é R$4,60 e o quilômetro rodado é R$0,96, calcule a distância percorrida por um
passageiro que pagou R$19,00 para ir de sua casa ao shopping. me ajudem por favor.

Answers

Answer:

Acho que talvez 200 $ Não tenho certeza, mas espero que ajude

Step-by-step explanation:

Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0

Answers

Answer:

vertex: (5/6,5)

focus: (- 2/3, 5)

axis of symmetry: y = 5

directrix: x = 7/3

Step-by-step explanation:

use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix

The cost of 6 pounds
of coffee is $3.

Answers

Answer:

ok 2 pound per 1 doller and 1 pund per0.50 cent

Step-by-step explanation:

Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?

a
\large y=3x

b
\large y=3+x

c
\large x=3y

d
\large x=y+3

Answers

the answer is a \large y=3x

Select the correct answer.
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

Answers

7 because 42 divided by 6= 7 and length times width = perimeter

Answer:

7 inches

Step-by-step explanation:

6x7=

42

What is the coordinates of the missing vertex?

Answers

should be (5,-5) just because its in the 5 then when its going down its -5

Find the diameter of a circle with a radius of 13 ft.

Answers

Answer:

diameter will be 26ft that's D

Use the equation below to find a, if b=11 and c=13.

a=28-b-c

a=?

Answers

a = 28 - 11 - 13
a = 4

have a great day

WILL GIVE BRAINLIEST!
Directions: Simplify each term by factoring.
1. 3rs

2. 12xy

3. 5x2

4. 36x2

5. 25x2

6. 30x2

7. 5x3

8. 24y3

9. 9xy

10. 12x4

Answers

Answer:

1234567890-=

Step-by-step explanation:1234567890-

Can u solve these please I need help

Answers

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

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