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Gala2k [10]
3 years ago
8

When Sam simplified the expression 3.5-(-4.1), she got -0.6. What mistake did Sam likely

Mathematics
1 answer:
stellarik [79]3 years ago
3 0
That answer for that would be D
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How many pints are in 10 gallons?
Ksju [112]
There are 4 quarts in a gallon, and 2 pints in each quart. so take 10 gallons and multiply it by 4 then by 2 which gives you 80 pints in a gallon. or realize that there are 8 pints in a gallon so multiply 10 by 8 which again gives you 80.

80 pints in a gallon

there are 16 ounces in a pound, but you are trying to get back to the larger unit, rather than the smaller one, so you do the opposite of what we did in the first problem. We do the opposite of multiplying which is dividing. we divide 112 ounces by 16 to get back to pounds. 112 divided by 16 is 7

there are 7 pounds in 112 ounces
7 0
3 years ago
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Need help with problem #53! Arithmetic sequences!
ankoles [38]

When counting any sequence, it helps to have a simpler sequence to compare it to. The simplest one that I can think of is

1,2,3,4,5,\dots

because you instantly can tell the number of terms in the sequence by looking at the last number. We can see from the graph that the first few terms of the sequence a are 1, -3, -7, and we're told that its last term is -83. Our goal then is to turn this sequence:

1,-3,-7,\dots,-83

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1,2,3,\dots

The first thing which stands out in this sequence is the number of negative terms, so let's fix that by multiplying every term by -1:

1,-3,-7,\dots,-83\xrightarrow{\times{-1}}-1,3,7,\dots,83

Now, the main property of any arithmetic sequence is that they <em>increase or decrease by some constant amount</em>. Here, that number is 4, since -3 = 1 - 4 and -7 = -3 - 4. Knowing the importance of 4 in this sequence, our next step might be to turn every term into a multiple of 4 by adding 1:

-1,3,7,\dots,83\xrightarrow{+1}0,4,8,\dots,84

and since we're dealing with multiples of 4, a natural next step might be to divide every term by 4:

0,4,8,\dots,84\xrightarrow{\div4}0,1,2,\dots,21

And lastly, we can add 1 to every term to get our sequence into easily-countable form:

0,1,2,\dots,21\xrightarrow{+1}1,2,3,\dots,22

So, the sequence a has 22 terms.

8 0
4 years ago
How to simplify 1 - cos^2 θ/ sin^2 θ
jok3333 [9.3K]

\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{1-cos^2(\theta )}{sin^2(\theta )}\implies \cfrac{sin^2(\theta )}{sin^2(\theta )}\implies 1

5 0
3 years ago
Lily's tomato plant grew 3.5 cm in one week. What is this number rounded to the nearest cm?
podryga [215]
3.5
cm would be the first whole number.
So if the number after the whole number (the tenth) is 0-4 the whole number doest change. If it's 5-9 you add one to the whole number.
Since it is a 5 you add one to the 3 making it 4 :)
8 0
4 years ago
A farmer decides to sell 16 pounds of his small 48 pound potato crop. What percent of the crop did he sell? Write a proportion.
Cerrena [4.2K]
Take 100 divided by 48 times 16 and that's your answer
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