A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?​

Answers

Answer 1

Answer: Length = 40 inches

Width = 20 inches

Step-by-step explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.


Related Questions

HELP ASAP What is the distance between the following points

Answers

Answer:

6

Step-by-step explanation:

which of the following expressions has a coefficient of 10 and a constant of 5
10 + 5x
10+5
10x+5
10-5

Answers

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

Which is bigger 1/4 or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3/5 is the bigger fraction


PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

Answer:

124

Step-by-step explanation:

Elm St. and Oak St. are parallel lines.

Cedar St. is a transversal to the other two streets.

When parallel lines are cut by a transversal, corresponding angles are congruent.

The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.

9x + 61 = 3x + 103

Subtract 3x from both sides.

6x + 61 = 103

Subtract 61 from both sides.

6x = 42

Divide both sides by 6.

x = 7

9x + 61 = 9(7) + 61 = 63 + 61 = 124

3x + 103 = 3(7) + 103 = 21 + 103 = 124

solve the equation -3 + 1/2n = 1/2 (-n + 14) in two different ways.

Answers

Answer:

Step-by-step explanation:

-3 + 1/2n = 1/2 (-n + 14)

distribute

-3 + 1/2n = -1/2n + 7

                 -1/2n

cancel out -1/2n

-3 = n + 7

-10 = n

subtract 7

n =  -10

What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains​

Answers

Answer:

heavy rains

Step-by-step explanation:

it makes the forest grow!!1!!1!!!!11111!1!!

Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.

Answers

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

What is surface area of square pyramid?

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

Find out more information about Surface area of square pyramid here

https://brainly.com/question/12400672

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The angle between the lines xy=0 is
(a) 00
(b) 60°
(c) 90°
(d) 120°​

Answers

Answer:

(c) 90°

Step-by-step explanation:

Given

[tex]xy = 0[/tex]

Required

The angle between the line

First, solve for x and y

[tex]xy = 0[/tex]

[tex]x = 0[/tex] or [tex]y=0[/tex]

This means that: y axis and x axis

The angle between the two axes is 90 degrees

Hence: (c) is correct

Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If

v=au1+bu2+cu3
is so that ∥v∥=42, v is orthogonal to u3, and ⟨v,u2⟩=−42, find the possible values for a, b, and c.

Answers

• ||v|| = 42, which is to say

||v||² = 〈v, v

…  = 〈a u₁ + b u₂ + c u₃, a u₁ + b u₂ + c u₃〉

… = a ² 〈u₁, u₁〉 + b ² 〈u₂, u₂〉 + c ² 〈u₃, u₃〉 + 2(abu₁, u₂〉 + acu₁, u₃〉 + bcu₂, u₃〉)

… = a ² ||u₁||² + b ² ||u₂||² + c ² ||u₃||²

[since each vector in the basis for V is orthogonal to any other vector in the basis, and 〈x, x〉 = ||x||² for any vector x ]

42² = a ² + b ² + c ²

[since each vector in the basis has unit length]

42 = √(a ² + b ² + c ²)

• v is orthogonal to u₃, so 〈v, u₃〉 = 0. Expanding v gives the relation

v, u₃〉 = 〈a u₁ + b u₂ + c u₃, u₃〉

… = au₁, u₃〉 + bu₂, u₃〉 + cu₃, u₃〉

… = c ||u₃||²

… = c

which gives c = 0, and so

42 = √(a ² + b ²)

• Lastly, 〈v, u₂〉 = -42, which means

v, u₂〉 = 〈a u₁ + b u₂ + c u₃, u₂〉

… = au₁, u₂〉 + bu₂, u₂〉 + cu₃, u₂〉

… = b ||u₂||²

… = b

so that b = -42. Then

42 = √(a ² + (-42)²)   →   a = 0

So we have a = 0, b = -42, and c = 0.

The required values are, [tex]a=0,b=-42 ,c=0[/tex]

Given,

[tex]v=au_1+bu_2+cu_3[/tex]

[tex]\left\| V\right\|=42[/tex]

Computation:

Since, [tex]v[/tex] is orthogonal to [tex]u_3[/tex] then we have,

[tex]\left<v,u_3 \right> =0\\\left< v,u_2\right> =-42[/tex]

Then,

[tex]\left\| V\right\|^2=\left<v,v \right>\\=\left<au_1+bu_2+cu_3,au_1+bu_2+cu_3 \right>\\=a_2\left\|u_1 \right\|^2+b_2\left\|u_2 \right\|^2+c_2\left\|u_3 \right\|^2\\=a^2+b^2+c^2\\=a^2+b^2+c^2=42^2[/tex]

As we know,

[tex]a=\left<v_1u_1 \right>\\b=\left< v_1u_2\right>= -42\\c=\left<v_1u_3 \right> =0[/tex]

[tex]a_2+b_2+c_2=42\\a=0[/tex]

Learn More:https://brainly.com/question/13152748


Aquestion that can be answered by
collecting data that has variability,

Answers

You need to give more info

The weekly average earnings of his drivers in a city is $980 with a standard deviation of $47. Assume that we select a random sample of 81 bus drivers. Compute the standard error of the mean

Answers

Answer: do the math, and after that know the definition of what the mean is and it will help you, its best to understand something.

Step-by-step explanation:

What is the slope of the line that passes through the points (6, 2) and (4, 10)?
-4
-1/4
1/4
4

Answers

Answer:

A. -4 (should have negative sign.)

Step-by-step explanation:

Slope formula:

[tex]\sf \dfrac{Y_2-Y_1}{X_2-X_1}[/tex]

y2=10

y1=2

x2=4

x1=6

Solve.

[tex]\dfrac{10-2}{4-6}[/tex]

10-2=8

4-6=(-2)

Divide.

8÷(-2)=-4

So, the correct answer is -4.

your answer would be -4. I hope this helped

This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

75

Step-by-step explanation:

it would be the same as it opposite side S because they are the same

The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?

Use the value 3.14 for π and round your answer to the nearest whole number.

Answers

Answer:

The volume of the cylinder is 120.10 square feet.

Step-by-step explanation:

Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume if the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of the same:

3.14 x 1.5 ^ 2 x 17 = X

3.14 x 2.25 x 17 = X

7.065 x 17 = X

120.105 = X

Thus, the volume of the cylinder is 120.10 square feet.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

1/5

Step-by-step explanation:

there are 10 in total which means for every toy there is a 10 percent chance. Because he has 2 taxis, there would be a 20 percent chance which equals 1/5

Help I need a equation

Answers

9514 1404 393

Answer:

  a) y = 3x-1

  b) y = x+5

Step-by-step explanation:

a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.

The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...

  y = 3x -1

__

b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...

  b = y -mx

  b = 7 -1·2 = 5

Then the slope-intercept equation is ...

  y = x + 5

What is the answer for x+6x

Answers

Answer:

The answer is 7x

Step-by-step explanation:

The x is the coefficent and every x has a coefficent  even if it doesn't have  number because the coefficent   represent how many x's there are so it is one x plus 6 x and that equal seven x. The x can be anything but one of something plus 6 equals 7.

Solve (z + 6)2 = 5
{−6±5‾√}

{6±5‾√}

{5‾√±−6}

{−6+5‾√,6−5‾√}

Answers

9514 1404 393

Answer:

  (a) -6±√5

Step-by-step explanation:

  (z +6)^2 = 5 . . . . . given

  z +6 = ±√5 . . . . .  take the square root

  z = -6 ±√5 . . . . . . subtract 6

At a candy store each bag holds 0.75 pounds. A box with 12 pounds of candy is being put into ,b, bags. How many bags of candy is this?

Answers

Answer:

17 bags is correct

Step-by-step explanation:

12 / 75 is equal to 17.14

John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone

Answers

Answer:

$41

Step-by-step explanation:

Well he withdrew 1/4 of his savings which is basically 1/4 * 164

Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?

Answers

Answer:

Wait u want me to answer your question or the Jono question? Or both?

Step-by-step explanation:

1. $6/5

Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b ^2 = c^2.​

Answers

Answer:

8.7 in

Step-by-step explanation:

a = 7.3

b = 4.8

c^2 = 7.3^2 + 4.8^2 = 76.33

c = sqrt(76.33) which is around 8.7

If the Volume of a Cylinder is 25*pi* and the radius is 4, what is the height "h"?
Round your answer to the nearest tenth if needed.

Answers

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

help please. will give Brainly.​

Answers

Answer:

a10 = 15

an = 6n - 45

Step-by-step explanation:

a12 = 27 = a + 11d - eq 1

a14 = 39 = a + 13d - eq 2

eq 2 - eq 1

2d = 12

d = 6

a + 11(6) = 27

a + 66 = 27

a = -39

a10 = a + 9d = -39 + 9(6) = 15

Tn = a + (n-1)d

-39 + 6(n - 1)

-39 + 6n -6

an = 6n - 45

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP

Answers

Answer:

90 degree angle i think

Step-by-step explanation:

Hope this helps you

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c total 180°, and angles a and c are complementary, meaning they total 90°. The measure of angle b is ...

  b = 180° -90°

  b = 90°

__

All of the angle measures are ...

  a = 90° -c = 90° -56° = 34°

  b = 180° -90° = 90°

  c = given = 56°

  d = given = 124°

  e = c = 56°

In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.) 76° 90° 104° 142° 152°

Answers

Answer:

152

Step-by-step explanation:

Edge 2020

Find the surface area of a cylinder with the following dimensions. Use 3. 14 for $. Round your answer to the nearest
tenth
d = 11.4 cm, h = 4.4 cm
a. 5172 sq. cm
723.6 sq. cm
b. 361.5 sq. cm
d. 294.5 sq.cm
C.
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD

Answers

Answer:

b

Step-by-step explanation:

r=d/2=11.4/2=5.7

slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2

area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²

total surface area=157.5024+204.0372=361.5396=361.5 sq. cm

How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many

Answers

Answer:

x = 12

Step-by-step explanation:

by direct solution

otherwise this system many solution

Answer:

one

Step-by-step explanation:

4x+8=-4+5x

or, 5x-4x = 8+4

hence,

x=12

please help i have an F right now

Answers

Answer:

4

Step-by-step explanation:

If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?

Answers

Answer:

1 workbook

Step-by-step explanation:

Equation:

d = 64.6t

Given:

d = total cost

t = number of workbooks

Work:

d = 64.6t

64.6 = 64.6t

t = 64.6/64.6

t = 1

Answer: 1 work book t=1

Step-by-step explanation:

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