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3 years ago

Convert this number expressed in standard form to scientific notation

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

Answer:

28,500,000 into scientific notation is 2.85 x 10⁷

2.85 x 100 in scientific notation is 2.85 x 10²

if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else

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PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?

Korolek [52]

Six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six

4 0

3 years ago

A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

3 years ago

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%. He sells each candy var for 175% of what he paid before tax. ho

Zepler [3.9K]

Answer:

Cost price of each candy = $0.80, Selling price of each candy = $1.40

Step-by-step explanation:

Given:

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.

He sells each candy var for 175% of what he paid before tax.

Question asked:

How much does he buy each candy bar for ?

How much does he sell one for ?

Solution:

<u>By unitary method:</u>

Cost of 50 packs of candy bars = $40

Cost price of 1 pack of candy bars = $\frac{40}{50} =\$0.8$

Cost price of each candy = $0.80

Thus, he buy each candy bar for $0.80

Now:-

As he sells each candy var for 175% of what he paid before tax:-

Selling price of each candy = 0.80 $\times$ 175%

= $0.80\times\frac{175}{100} =\frac{140}{100}=\$1.4$

Thus, he sell one candy for $1.40

3 0

3 years ago

Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogra

mixas84 [53]

Answer:

b*h

Step-by-step explanation:

therethere are four sides to a parallelogram and two of them would be h and b and you must multiply that by n then each other

New area:

(b*n) * (h*n) = (b*h)n^2

5 0

3 years ago

Write the first five terms in the sequence.<br><br> NEXT = NOW + 13, starting at –84

8090 [49]

Answer:

-84, -71, -58, -45, -32, -19

Step-by-step explanation:

3 0

3 years ago