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lesya [120]
2 years ago
6

Work out the value of x when 2^30/8^9=2^x step by step explan please

Mathematics
1 answer:
Hitman42 [59]2 years ago
8 0
<h2>Answer: Write the expression in exponential form with the base of 2 like this 2^30/8^9= 2^3=2^x since thebases are the same, set the exponents equal. 3=x swap sides x=3</h2>

Step-by-step explanation:

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Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to
Aloiza [94]

Answer:

Step-by-step explanation:

band alone 11 

choir alone 17 

band and choir alone 4 

band and math alone 7 

math and choir alone 6 

band choir and math 3 

math alone 9 from 11+4+10+6+17 + M = 57 

so 

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

5 0
3 years ago
5 - -10 also I need a example thank u everyone for your help
Step2247 [10]

15

Step-by-step explanation:

A negative number being subtracted makes it positive

5 - -10

5+10 =15

6 0
3 years ago
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizon
Leni [432]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,
Helen [10]
<h3>Answer: 3/10 of a shed</h3>

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

  • 1/5 = 8/40 .... multiply top and bottom by 8
  • 5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

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

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}

which simplifies or cleans up to

5/x = 25/40

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

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0
3 years ago
What is 6775355 x 686878756 in math
nataly862011 [7]

Answer:

4.6538474e+15

Step-by-step explanation:

6 0
3 years ago
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