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Molodets [167]
3 years ago
8

the school can only seat 50 students in every bus. If the school is planning on taking 360 students on a field trip. How many bu

sses do they need. (show work) with independent variable dependent variable constant term and coefficient
Mathematics
2 answers:
Tems11 [23]3 years ago
4 0
So you would do 360/50
simplified you would get 36/5 this simplifies to about 7 and 1/5

so you would need 7 and 1/5 bus or 7.2 bus
but you can't have 1/5 buss so you would need to make the 1/5 into a 1 so
7+1=8
8 busses neede
scoundrel [369]3 years ago
4 0
50x = 360
x is the number of buses
x = 360/50 => 36/5
x = 7.2

Independent Variable: x
Dependent Variable: 360 (or y)
Coefficient: 50 (b/c of 50x)
I don't see a constant term, sorry
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Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.
jenyasd209 [6]
<h3><u>Given Numbers:-</u></h3>
  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

<h3><u>To Find:-</u></h3>
  • average of this set of numbers

<h3><u>Solution</u>:-</h3>

\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}

\longrightarrow Here, no of observation are 9

Now,

\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}

\longrightarrowThe Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

3 0
2 years ago
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Solve the equation 12x+6y=24 for x
vlabodo [156]

Answer:

x=2-1/2y

Step-by-step explanation:

12x+6y=24

12x=24-6y

x=24/12-6/12y

x=2-1/2y

6 0
2 years ago
Factor each polynomial<br> 4z^2+4z-15
Mkey [24]

Answer:

(2z + 5)(2z - 3)

Step-by-step explanation:

4z² + 4z - 15

4z² + 10z - 6z - 15

2z (2z + 5) - 3 (2z + 5)

(2z + 5)(2z - 3)

7 0
2 years ago
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What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo
Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = \left ( 0,\infty  \right ), Range = \left ( -\infty ,\infty  \right )

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = \left ( -\infty ,\infty  \right ), Range = \left ( 0,\infty  \right )

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: \log x=\frac{\log 5+\log 3}{\log 3^2}

\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}

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Pavlova-9 [17]

The slope is the change in y-axis to x-axis of a graph. The slope of the line given is -10

<h3>How to find the slope of a line?</h3>

The standard equation of a line in slope intercept form is given as y = mx+b

where

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Given the equation y = -10x - 2

Compare

mx = -10x

m = -10

Hence the slope of the line given is -10

Learn more on slope here: brainly.com/question/3493733

#SPJ1

6 0
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