Parents plan to ship some items to their child who is attending college out of town. The
student definitely needs towels, which weigh 9 pounds. The cost is $45 to ship up to 15
pounds.
a. Write and solve an inequality that represents how many pounds the parents can add
to the shipment without having to pay additional shipping costs.
b. The parents want to ship another item in addition to the towels. Which of the
following items can they send without paying extra shipping?
Item
Weight (pounds)
boots
9
tennis rackets
5
dishes
18
soccer equipment
14
1
The student decides that the tennis rackets and the towels are needed. How does
this affect the inequality in part (a)?

Answer:

  12600 cm³

Step-by-step explanation:

The volume of a prism is the product of its base area and height:

  V = Bh

__

For your prism, this product is ...

  V = (630 cm²)(20 cm) = 12600 cm³

The volume of the box is 12600 cm³.

Answer:

She has not got enough spice for 6 weeks.

Step-by-step explanation:

Remark

0.35 kg = 0.35 * 1000 grams / kg = 350 grams.

Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.

Answer:

B

Step-by-step explanation:

Answer:

see attached picture for details

a = BOA + COD

b = BOD

c = 150

d = BOA + COD

Step-by-step explanation:

see attached picture with color coded answers

Answer:

Angle H is 133

Step-by-step explanation:

(h-48)+95=180

solve it and you will get 133

Answer:

133°

Step-by-step explanation:

from the diagram,

(h- 48)° +95°= 180° ( angles on a straight line)

h-48+95 = 180°

h+47 = 180

collect like terms

h = 180-47= 133°

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

Answer:

x= -30

Step-by-step explanation:

Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

Answer:

85 44/100

Step-by-step explanation:

I think this is the corect anser

Answer:

8 2/5

7 1/2 times 12 divided by 100 = 0.9

7 1/2 + 0.9 = 8.4

as a mixed number it would be 8 2/5

Step-by-step explanation:

Answer:

It would be 70

Step-by-step explanation:

hope this helped :)

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

Answer:

[tex]x > \frac{105}{2}[/tex]

Step-by-step explanation:

Let's say that the number is [tex]x[/tex].

He doubles the number and then subtracts five to get the number to be [tex]2x - 5[/tex]. If the result cannot be less than 100, then we can write the inequality [tex]2x - 5[/tex] > [tex]100[/tex]. Now, solving for x, we get [tex]x > \frac{105}{2}[/tex].

Answer:

in 720 Possibles ways Ten runners can be arranged  as first, second, and third placers

Answer:

Below in bold.

Step-by-step explanation:

Circumference = π * diameter

= π * 7

= 20.99 cm to nearest hundredth.

Radius of the circle = 1/2 * diameter = 7/2

= 3.5cm.

Area = π r^2

= π * 3.5^2

= 38.48 cm^2 to nearest hundredth.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

            ◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

We're asked to find the circle's circumference, which can be found using the formula below:-

[tex]\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}[/tex]

Where:-

As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-

↬ [tex]\sf{C=\pi (7)}[/tex]

On simplification,

   ↬ [tex]\sf{C=7*3.14}[/tex]

Remember, 3.14 is pi.

On further simplification,

            ↬  C=21.98 cm.

So we conclude that the circumference of the given circle is:-

      C=21.98 cm.

Now, how about the area?

[tex]\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}[/tex]

Where:-

Notice that we only have the diameter and not the radius.

We can easily find the radius by dividing the diameter by 2:-

3.5

So the radius is 3.5.

Substitute the value of r into the formula, which results in:-

         ↬ [tex]\sf{A=\pi (3.5)^2}[/tex]

On simplification,

On further simplification,

A=12.25•3.14 (3.14 is pi)

On further simplification,

A=38.465 cm²

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

Answer:

The last option

Step-by-step explanation:

You take the middle 2 numbers, add them up, and divide by 2.

Answer:

50

Step-by-step explanation:

Since it's given that these are similar triangles then the measure of angles are equal

2y - 40 = y + 10 transfer like terms to the same side of equation

2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)

y = 50

The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 10m = 393.7in

b = 6in

h = 7in

Substitute

A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches

Hence the given area of the trapezoid is 1398.9 square inches

learn more on area of trapezoid here:

#SPJ4

Answer:

The correct answer is 56. This is correct on e d g e .

Step-by-step explanation:

We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam

Answer:

[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].

With this in mind, we can integrate:

∫[tex]x^2 - 2x + 4[/tex]

= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].

We can also check our answer by differentiating our answer:

[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]

so we are correct!

hope this helped!

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

The total weight of water and a full tank in the nearest pound is 16328 lb.

Volume of a hemisphere = (2/3) x (n) x (r^3)

3.14 x 5³ x 2/3 = 261.67 ft³

Weight = volume x weight per cubic foot

261.67 ft³ x 62.4 = 16328 lb

To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364

#SPJ1

Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

Solving

Answer:

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

Keep the first fraction the same

Change the division symbol into a multiplication symbol

Swap the numerator and the denominator of the second fraction

Example:

[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2

- Kan Academy Advance

Answer:

Step-by-step explanation:

let K be the cost of a knife

    S Ben the cost of a spoon

The statement “a knife is four times the cost of a spoon”

means  K = 4S

means  S = (1÷4)K

the statement “12 spoons and 16 knives cost £105.64”

means  12S + 16K = 105.64

⇔ 12(1÷4)K + 16K = 105.64

⇔ 3K + 16K = 105.64

⇔ 19K = 105.64

⇔ K = 105,64÷19

       = £5.56

The conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.

Here the given angle in radian is [tex]\dfrac{7\pi}{4}[/tex]

Angle in degrees is converted by multiplying it with [tex]\dfrac{180}{\pi}[/tex].

So the angle in degrees will be:-

[tex]=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}[/tex]

[tex]=\dfrac{7\times 180}{4}[/tex]

Angle=315°

Therefore the conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°

To know more about radian follow

https://brainly.com/question/19758686

#SPJ1