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3 years ago

Find the cost of 20 grams of lead at 60$ per kilogram

Mathematics

1 answer:

ASHA 777 [7]3 years ago

6 0

Answer:

$1.20

Step-by-step explanation:

Ratio:

Grams : Kilograms

1 : .001

Multiply both sides by 20 to convert grams to kilograms:

Grams : Kilograms

1 : .001

x20 x20

20 : .02

This means that 20 grams of lead = .02 kilograms of lead

Price:

Cost : Kilogram

$60 : 1

Multiply both sides by .02 to find the price of the lead:

Cost : Kilogram

$60 : 1

x.02 x.02

$1.20 : .02

Therefore, .02 kg of lead costs $1.20.

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Find the sum of the first 10 terms of the following series, to the nearest integer.

Alona [7]

Answer:

Step-by-step explanation:

you can see this is a geometric progression which a ratio of ${2\over{5}}$ . the sum of the firs n term is:

$S=a_1\frac{(1-r^n)}{(1-r)}=175\frac{1-(\frac{2}{5})^{10}}{1-\frac{2}{5}}=291.6360832$

the nearest integer would be:

292

4 0

3 years ago

The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of –30 ft/sec is mod

Contact [7]

Answer:

Option 3.

Step-by-step explanation:

The given function is

$h(t)=-16t^2-30t+124$

where, h(t) is the height of a small rock falling from the top of a 124-ft-tall building and t is the time in seconds.

It is a downward parabola.

Equate the function equal to 0, to find the time at which the rock touch the ground.

$-16t^2-30t+124=0$

If $ax^2+bx+c=0$ , the according to the quadratic formula

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula, we get

$t=\dfrac{-(-30)\pm \sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=\dfrac{30+\sqrt{(-30)^2-4(124)(-16)}}{2(-16)},\dfrac{30-\sqrt{(-30)^2-4(124)(-16)}}{2(-16)}$

$t=-3.875, 2$

Time cannot be negative. So, the rock remain in the air in the interval 0 < t < 2.

Therefore, the correct option is 3.

6 0

3 years ago

Don has 22 white winter socks, 12 black winter socks, 4 black summer socks, and 12 white summer socks. If one sock is drawn at r

Serhud [2]

The answer would be 16/50

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3 years ago

Writing numbers in Expanded Form

Savatey [412]

Break the number apart into hundreds, tens, ones, etc. and add the quantities together. Here is an example:

<em>To write 256 in expanded form, break it apart. There is 200, 50, and 6 in 250. Now, add them together. 200 + 50 + 6 = 256</em>

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4 years ago

Read 2 more answers

I will mark you as brainliest! I need the correct answer ASAP!!!

yan [13]

Answer:

the 2 one or the last one

Step-by-step explanation:

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3 years ago