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2 years ago

15

a test is worth 50 points.multiple choice questions are worth 1 point, and short answer questions are 3 points. If the test has

20 questions, how many multiple choise questions are there?

2 answers:

7nadin3 [17]2 years ago

8 0

Is there any options.

frosja888 [35]2 years ago

7 0

X = # of MC, y = # of SA

x + y = 20
x + 3y = 50

Solve the system of equations and you'll have y = 15, x = 5

So 5 MC questions

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Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

8 0

2 years ago

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly? (2 points)

Svetach [21]

Answer:

The value of f[ g(x) ] = 7x + 27

Step-by-step explanation:

It is given that, f( x ) = 7x + 13 and g( x ) = x + 2

<u>To find the value of f(g(x))</u>

g(x) = x + 2 and 7x + 13 (given)

Let g(x) = x + 2

f [ g(x) ] = 7(x + 2) + 13 [ substitute the value of g(x) in f(x) ]

= 7x + 14 + 13

= 7x + 27

Therefore the value of f[ g(x) ] = 7x + 27

8 0

2 years ago

6 An account pays

Sergio039 [100]

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

$C.I.=P(1+r\%)^t-P$

put values

$C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4$

Therefore, interest earned is £122.4

5 0

2 years ago

Solve the proportion 9/12=15/x

Nikolay [14]

Answer:

20

Step-by-step explanation:

3/4=15/x

4/3=x/15

4/3*15=x

X=20

5 0

3 years ago

Read 2 more answers

Name the two input device

nikitadnepr [17]

Answer:

keyboard and mouse are two examples of input device

8 0

2 years ago