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CaHeK987 [17]
3 years ago
10

In x-5=9, the correct way to isolate the variable is to

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer: x=14

Step-by-step explanation:

Add 5 to both sides to get the x alone and get your answer.

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Students in a class were asked to name their favorite sport they like to watch on television. How many more time students want t
levacccp [35]
First, we need to add up all the percentages to make sure we have 100%.

25.5% + 0.03% = 25.53%

This means that 74.47% of the students chose something other than basketball or soccer.

The amount of students you stated there were was 2553.

25.5% of 2553 is 651 students and

0.03% is 8 students.

Now, we divide 651 by 8 to determine the amount of times over basketball was chosen.

651 ÷ 8 = 81

Basketball was chosen 81 times over again compared to soccer.

To find how much more times basketball was chosen, subtract 8 from 651

651 - 8 = 643

Basketball was chosen 643 times more than soccer.
8 0
4 years ago
Read 2 more answers
Use sum identities to derive one double angle identity for cosine
tester [92]

Answer:

  • cos(2Ф) = cos²(Ф) -sin²(Ф)
  • cos(2Ф) = 1 -2sin²(Ф)
  • cos(2Ф) = 2cos²(Ф) -1

Step-by-step explanation:

The angle sum formula for cosine is ...

  cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

When we have α = β = Ф, this becomes ...

  cos(Ф+Ф) = cos(Ф)cos(Ф) -sin(Ф)sin(Ф)

  cos(2Ф) = cos²(Ф) -sin²(Ф)

The "Pythagorean identity" can be used to write this in terms of sine or cosine.

  cos(2Ф) = (1 -sin²(Ф)) -sin²(Ф)

  cos(2Ф) = 1 -2sin²(Ф)

or

  cos(2Ф) = cos²(Ф) -(1 -cos²(Ф))

  cos(2Ф) = 2cos²(Ф) -1

3 0
3 years ago
How can you use a<br> single measure to describe a data set?
podryga [215]
A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.
5 0
2 years ago
Read 2 more answers
Round 45.983 to the nearest whole number, tenth and hundredth.
Nady [450]

Answer:

46

Step-by-step explanation:

if you round to the nearest whole, look at the tenths place and if it is bigger than 4, then then you round up, like 7043.7305 to 7044 but if the tenths place is smaller than 5, the number stays the same but the decimal part is gone, like 350.24569405 to 350.

8 0
3 years ago
Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years
Leviafan [203]

hmmm so let's see first how much is 10% of the earnings of 1470.

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147

so then

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}

A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}

8 0
2 years ago
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