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podryga [215]
3 years ago
15

A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The

other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

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3 0
2 years ago
A football team loses 15 yards on one play and gains 9 yards on another play. How many total yards did the team lose?
Licemer1 [7]

Answer:

-6

Step-by-step explanation:

imagine you're on a line graph you start at zero and then go backward 15 spaces and move forward 9 spaces where does that leave you

4 0
3 years ago
A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle
Lorico [155]

Answer:

Correct choice is A

Step-by-step explanation:

Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

  • \sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.
  • \tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.

8 0
3 years ago
Here is 100 point for anyone who can guess a number from 1 to 5 if you get it right you get brainlyist who however you spell it
andreyandreev [35.5K]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years. A. $100, B. $1000,
g100num [7]
To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.

In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.

Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.

Answer - A $100 of simple interest will be earned.
3 0
4 years ago
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