MATHEMATICS MIDDLE SCHOOL

Which of the following is usually the first step in solving a system of nonlinear equations by substitution

Answers

Answer 1

Answer:

Answer:it is isolating one of the variables...

Step-by-step explanation:

Apex

Answer 2

Answer:

Answer:

isolating the variable

Step-by-step explanation:

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In the accounting department at a university, 60% of the students are women and 250 of the students are men. How many accounting students are there in all?

Answers

There would be 625 students because 40% of students would be 250. If you divide 250 by 2 you get 125 which is 20%. Then you would multiply 125 and 5 and get 625.

If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?

Answers

Answer:

$T = (1)/(f)$

And replacing we got:

$T = (1)/(34.5 Hz)= 0.0290 s$

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

For this case we know the frequency associated to the 4 harmonic.

We know that by definition the frequency is the inverse of the period:

$f= (1)/(T)$

If we solve for the period we got:

$T = (1)/(f)$

And replacing we got:

$T = (1)/(34.5 Hz)= 0.0290 s$

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Find the area of the shape shown below.

Answers

Answer:

Step-by-step explanation:

(7,5+2,5).2,5=25

Answer:

12.5

Step-by-step explanation:

The given figure is a trapezium .

Area of Trapezium ;

$\boxed{(a + b)/(2) h}$

given ;

A = 7.5
B = 2.5
h = 2.5

Putting given value into formula

$(7.5 + 2.5)/(2) * 2.5$

$(10)/(2) * 2.5 \n$

$5 * 2.5 \n \n \implies \boxed {\purple{12.5 - answer}}$

A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. How many text messages did you have? Write an equation using x as the variable and then solve the equation.

Answers

Ok if he paid.

59.50-30.00=29.50

so he paid 29.50 dollars more

29.50/0.25=118

so he texted 118 times

.25x + 30 = 59.50 is the equation.

now subtract 30 from each side leaving you with:

.25x = 29.50

now divide by .25 on each side.

x = 118

You sent 118 text messages.

Algebra 1 Solving Linear Expressions.What is 9x-6=-3x+30?

Answers

The answer is x=6. 9x-6=3x+30

9x-3x-6=3x-3x+30

6x-6=0 +30

6x-6 + 6= 0 + 30 +6

6x=36

6x/6=36/6

x=6

Which of the following is not a congruence transformation? A) a reflection over the axis b) a dilation with scale factor 0.5 c) a translation 1 unit left d) a dilation with scale factor 1

Answers

It would be c because this isn't transforming it

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