7 is 40% of what number

While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her

EastWind [94]

The given equation is,

$3(-n+4)+5n=2n$

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

$\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}$

Now, group the like terms.

$-3n+5n-2n+12=0$

Now, add the like terms.

$\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}$

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0

10 months ago

An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?

fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

#SPJ1

6 0

1 year ago

Which angle has a positive measure?

Ann [662]

Answer:

Usually the angles are measured from quadrant 1, where is the angle 0°.

If the angle moves counterclokwise, it is positive, if the angles goes clokwise, it is negative.

Then "On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 4."

Will give a positive angle, and because we know that is in quadrant 4, the angle can be any angle between 270° and 360°

"On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 2."

Same as before, this will create an angle with a positive measure, and the angle will be between 90° and 180°

5 0

3 years ago

Read 2 more answers

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Julli [10]

Answer:

$AB = 6$

Step-by-step explanation:

Given

$BC = 3.8$

$A'B' = 15$

$B'C' = 9.5$

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

$A'B' : AB = B'C' : BC$

Substitute values for A'B', B'C' and BC

$15 : AB = 9.5 : 3.8$

Express the ratio as fractions:

$\frac{AB}{15} = \frac{3.8}{9.5}$

Multiply through by 14

$15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8* 15}{9.5}$

$AB = \frac{57}{9.5}$

$AB = 6$

8 0

2 years ago

Read 2 more answers

52,75,90,48,90 whats the range of these scores

EleoNora [17]

Answer:

42

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

90−48=42

6 0

2 years ago