Mathematics High School

Solve for n.
 
-7/2n = 49
  
n =

Answers

Answer 1
The answer is:
________________
n = ¼ ; or, write as: 
n = 0.25
______________________
Explanation:
__________________
-7 / (2n) = 49 ;
__________________
-49 * (2n) = -7 ; 
________________
Divide each side by "(-49)" ; to isolate the "2n" on one side, and to get rid of the "negative" values:
_____________________________
[-49*(2n)] / -49 = -7/ -49 ;   to get:
_______________________________
2n = (½);  Now, divide EACH side of the equation by "2"; to isolation "n" on                       one side of the equation, and to solve for: "n";
__________________________________________________
2n / 2 = (½) / 2 ; 
_________________
To get: 
_______________
n = ¼ ; or, write as: 
n = 0.25
____________________

Related Questions

What is the result if you divide -12x8y8 by 3x4y2? ...?

Answers

Answer:

-4x⁴y⁶

Step-by-step explanation:

To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.

When dividing variables with the same base, we subtract the exponents:

x⁸ / x⁴ = x⁸-⁴ = x⁴

Similarly, y⁸ / y² = y⁸-² = y⁶

Now, let's divide the coefficients:

-12 / 3 = -4

Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:

-4x⁴y⁶

The sum of 8 and 7, doubled

Answers

8 + 7 = 15 x 2 = 30 '__'
(8+7) (2) = 15 times 2=  225

If two sides of a triangle are not =, the angle opposite the ___ side is the larger angle. shortest, intermediate, longest?

Answers

longest. if the side across from the angle is long, that makes th angle larger or more open.

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

If two sides of a triangle are not equal,

According to Relationship between the angle and side , we know that the angle opposite the shortest side is the larger angle,

And,

The angle opposite the longest side is the shortest angle

So, First option is correct.

Randolph has 8 ties, 6 pairs of pants, and 4 dress shirts. how many days can randolph go without wearing the same combination of these three items?

Answers

8 * 6 * 4 = 192 days.

URGENT! PLEASE HELP MATH!

Which shows the conversion of 0.427 kg to pounds?

There are 2.2 pounds in 1 kilogram.

A.
0.427 kg × 2.2 lb/kg = 9.39 lb

B.
0.427 kg × 2.2 lb/kg = 0.939 lb

C.
0.427 kg + 2.2 lb/kg = 2.627 lb

D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb

Answers

2.2lb=1kg
conversion factor is
2.2lb/1kg
since they are equal, that equals 1

0.472kg times (2.2lb/1kg)=0.9349 lb
answer is B
Pro tip! Use this magical thing called dimensional analysis. It works on the principle that you are converting a unit to another unit. More in depth, it cancels out the unit you don't want! So, in this case we want to cancel out the kg unit. What do I mean by cancelling? It's the same concept as 2/2 they cancel out because 2/2 = 1. Units work in a similar fashion. When two of the same units are over each other they cancel out of the problem.

Remember, the numerator of a fraction is whatever is on top. The denominator is on the bottom!

Explanation aside let's use it in a problem!

[tex] \frac{0.427kg}{1} * \frac{?}{?} [/tex]

We want the denominator to have kg, so let's put the kg unit next to the ? in the denominator.

[tex] \frac{0.427kg}{1}* \frac{?}{?kg} [/tex]

Now, glance back at your conversion rate and look at what the over unit is. In this case it is pounds (lb). So put that next to the ? in the numerator.

[tex] \frac{0.427kg}{1}* \frac{?lb}{?kg} [/tex]

The ? are to be filled in with the conversion rate. Meaning 2.2lb per 1kg. So wherever there is the unit for lb, you put 2.2 in. Same thing for the kg unit. 

[tex] \frac{0.427kg}{1}* \frac{2.2lb}{1kg} [/tex]

Multiply across. (Multiply the numerator by the numerator, and denominator by denominator!)

The problem can be rewritten as this: 
0.427kg * 2.2lb

The final answer to this problem is: 
0.427kg*2.2lb = 0.939

AKA: B

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem

Answers

Answer;

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are  the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or          b² = a² + c² − 2 bc cos B, or          c² = a² +b ² − 2 bc cos C

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;

Which pair of angles must be congruent?
A. Supplementary angles
B. Complementary angles
C. Adjacent angles
D. Vertical angles

Answers

The answer is:  [D]: vertical angles.
_______________________________

If the first equation is multiplied by 3 and then the equations are added, the result is _____.

3x + y = 3
x - 3y = -2

10x = 11
10x = 7
8x = 7

Answers

10x=7
x=7/10, you could work backwards to find y if it asked

Answer:  The correct option is (B) [tex]10x=7.[/tex]

Step-by-step explanation:  The given equations are :

[tex]3x+y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We are to select the correct result if the first equation is multiplied by 3 and then added to the second equation.

Now, multiplying equation (i) by 3, we get

[tex]3(3x+y)=3\times 3\\\\\Rightarrow 9x+3y=9~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

adding equation (iii) to equation (ii), we get

[tex](9x+3y)+(x-3y)=9+(-2)\\\\\Rightarrow 9x+3y+x-3y=9-2\\\\\Rightarrow 10x=7.[/tex]

Thus, the required result is [tex]10x=7.[/tex]

Option (B) is CORRECT.

What is the mean of 4, 6, 8, 20, 12?

Answers

add them all up which is 40 then divide by the amount of numbers there are. in this case 5, so 40 ÷ 5 = 8

Answer:

The correct answer is A. 10

4+6+8+20+12=50

50/5 =10

Step-by-step explanation:

Is the area between y = 1/x and y = 1/x^2 on the interval from x = 1 to finite or infinite?

Answers

Based on the given figure above, we can say that the area between y = 1/x and y = 1/x^2 on the interval from x = 1 is infinite. It is considered infinite because 1/x is infinite and integral 1/x2 is considered finite, and this makes the result infinite. Hope that this answer helps. 

If he swim 900m in a day how many kilometers he swim

Answers

1000 meters equals to 1 kilometers. So 900 meters equals to 0.9 kilometers. Then the answer is 0.9 km

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC.

Answers

The line of symmetry of the triangle bisects the right angle and the diagonal of the square.
The line is 1/2 the length of the square's diagonal :

(1/2)(10√2) = 5√2. 

Let CG be a distance x from the vertex of the right angle in the triangle.
Remaining distance = 5√2 - x. 

(1)(x) = (2)(5√2 - x)
x = 10√2 - 2x
3x = 10√2 
x = (10/3)√2. 

Using Pythagorean theorem,
x^2 + y^2 = c^2
 
c = (10/3)√2,
and x = y,
so 2x^2 = 200/9
x = √(100/9) = 10/3 = y. 

x = y = 3.333


A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be used to find the cost of the gum 20 years ago?
A)
0.3x - 0.3 = 0.75
B)
3x - 0.3 = 0.75
C)
3x - 3 = 75
D)
3 - 3x = 75

Answers

20 years ago it costed 3x - 3 = 75 because it costed 3 cents less than (this -3 part) 3 times of its price (price 20 years ago is x, 3 times that is 3x.
thats how we get 3x - 3 and we make it equal to 75 because we are comparing those 2 prices

So, answer is C.

Answer:

C

Step-by-step explanation:

Let the cost of a pack of gum 20 years ago = x cents

Given, present cost of a pack of gum = 75 cents

Given, present cost of a pack of gum is 3 cents less than three times what the pack costs 20 years ago.

So,

[tex]75 + 3 =3x[/tex]

[tex]75= 3x -3[/tex]

[tex]3x-3=75[/tex]

Therefore,

Equation , [tex]3x-3=75[/tex]  , can be used to find the cost of the gum 20 years ago.

factor 6x^2+11x+4 ...?

Answers

(3x + 4)(2x + 1) is it factorised

Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?

Answers

Answer:

Worker 1: 46 parts

Worker 2: 40 parts

Write the tangent ratios for P and Q. The figure is not drawn to scale.

Answers

Answer:

tan P = 24/7 and tan Q = 7/24

Step-by-step explanation:

tangent of any angle in a right angle triangle is always represented by

tan x = opposite side/ adjacent side = height / base

from the question we have to write tangent of P and Q.

tan P = QR/PR = 24/7

tan Q = PR / RQ = 7/24

So the answers are tangent ratios for P and Q are 24/7 and 7/24.

If x=4, then 5x=20 select the property

Answers

Multiplication. When a variable is right next to a number and not as an exponent.
Final answer:

The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.

Explanation:

When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).

Learn more about Substitution Property here:

https://brainly.com/question/12053340

#SPJ6

Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.

Answers

Final answer:

Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.

Explanation:

A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.

Learn more about Local Minimum here:

https://brainly.com/question/34256226

#SPJ6

What is the first step in solving a quadratic equation of the form given below?

(ax + b)2 = c


A.Divide both sides by c
B.Use the zero product rule
C.Factor out a common factor
D.Take the square root of both sides

Answers

the answer is d,,,,,,,,,,,,,,,,,

Answer:

Correct option is D.

Step-by-step explanation:

Given the quadratic equation

[tex](ax+b)^2=c[/tex]

we have to define the first step in solving a quadratic equation.

To find the value of x we have make the equation linear i.e taking the square root on both sides as c is any constant.

If c is 0 the we use the zero product rule.

Hence, our first step in solving a quadratic equation of the form

[tex](ax+b)^2=c[/tex]

is to take the square root of both sides.

Correct option is D.  

How many real solutions does the function shown on the graph have?
Can someone explain?
One, Two, None, or can't be determined?

Answers

This is a quadratic function.y = a x² + b x + cHere the function crosses x-axis at the points: ( - 4, 0 ) and ( 0 , 0 ).The function is y = x² + 4 x.The zeroes are: x1 = - 4,  x2 = 0.Answer:Two real solutions.

Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.

A. Divide by 2 from both sidesB. Square root both sidesC. Divide by 6 from both sides
D. Subtract 4 from both sidesE. Subtract 8 from both sidesF. Square both sides

Answers

The answer is
F. Square both sides
D. Subtract 4 from both sides
C. Divide by 6 from both sides

√(6x +4) = 8

Square both sides:
(√(6x +4))² = 8²
6x + 4 = 64

Subtract 4 from both sides
6x + 4 - 4 = 64 - 4
6x = 60

Divide by 6 from both sides
6x/6 = 60/6
x = 10

Answer:

First F, then D, then C

Use the elimination method to solve the following system of equations.

2x - y + z = -3
2x + 2y + 3z = 2
3x - 3y - z = -4

Answers

the answer 
2x - y + z = -3          (1)
2x + 2y + 3z = 2       (2)
3x - 3y - z = -4          (3)

 (1) - (2)              3y +2z =5
 3 .(1) - 2.(2)       3y+5z = -1

let 's solve 
3y +2z =5
3y+5z = -1
z= - 2, and 3y =5+4=9,  y=3, so  2x - 3 -2 = -3 implies x= 1

finally x=1, y=3 and z= -2
proof 
2x - y + z = -3??     2.1 - 3 -2 = -3  (true)

Which of the following are valid names for the triangle below? Check all that apply.



A. KE
B. KMD
C. DKM
D. SKMO
E. MDK
F. SKD

Answers

I would say:
B. KMD
C. DKM
and
E. MDK.

In reference it points to the edges which is how a triangle is usually depicted as.

I hope that helps clarify it, have a great rest of your day! ^ ^
{-Ghostgate-}

Answer:

KMD,MDK,DKM

Step-by-step explanation:

In which quadrant is point (4,5) located

Answers

The first quadrant, The quadrants start in the top right, then the top left, then the bottom left, the finally the bottom right.

That would be the second quadrant since both points are positive! Hope this helps, good luck and happy holidays!

This is a continuous set of numbers. every real number from the starting value to the ending value is included. it is called an ___.

Answers

the answer to this one is interval.

For Earth Day, the school plans to sell the following buttons to students and the community. The school will have to pay $18 for 15 dozen buttons. How much will the school have to pay for 50 dozen buttons?

Answers

Final answer:

The school will have to pay $60 for 50 dozen buttons, by using a proportional calculation based on the known cost of $18 for 15 dozen buttons.

Explanation:

The student's question involves calculating the cost of purchasing a larger quantity of buttons based on a known cost for a smaller quantity. To solve this, we will use proportional reasoning.

The school pays $18 for 15 dozen buttons. First, we find the cost for one dozen by dividing the total cost by the number of dozens:

$18 ÷ 15 dozen = $1.20 per dozen

Next, we calculate the cost for 50 dozen buttons by multiplying the cost per dozen by the number of dozens:

$1.20 per dozen × 50 dozen = $60

Therefore, the school will have to pay $60 for 50 dozen buttons.

The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = .
Find the radius of a circle that has a circumference of 16.

Answers

The answer is r = C/2π; r = 8/π

C = 2πr

Divide both sides by 2π:
C/2π = 2πr/2
C/2π = r

r = C/2π
C = 16
r = 16/2π
r = 8/π

Answer: 8 units

Step-by-step explanation:

Given: The formula for the circumference of a circle is [tex]C=2\pi r[/tex], where r is the radius and C is the circumference.

To solve equation for r , we divide [tex]2\pi[/tex] on both sides, we get

[tex]r=\dfrac{C}{2\pi}[/tex]

Now, the circumference of the circle = [tex]16\pi \text{units.}[/tex]

Then, [tex]r=\dfrac{16\pi}{2\pi}=8\ \text{units}[/tex]

Hence, Circumference of the circle = 8 units

jamal is 167 cm tall which expression expression finds jamals height in dekametres
A.167 times 100
B.167 times 1000
C.167 divided by 100
D.167 divided by 1000

Answers

D

167 cm = 1.67m
1.67m = 0.167dm

D. 167/1000 = 0.167

Jamal's height can be converted to dekametres by dividing his height in centimeters (167 cm) by 1000, because there are 1000 centimeters in a dekametre.

To convert Jamal's height from centimeters to dekametres, we should recall that 1 dekametre equals 10 meters or 1000 centimeters. Since Jamal is 167 cm tall, we need to divide his height in centimeters by the number of centimeters in a dekametre to get his height in dekametres.

Therefore, the correct expression to find Jamal's height in dekametres is:

167 divided by 1000

This is option D: 167 / 1000.

(3a2 + 2a - 2) - (a2 - 3a + 7)

Answers

remember to distribute invibile -1
simlify 2nd part
-(a^2-3a+7)=-1(a^2-3a+7)=-a^2+3a-7

now we have
3a^2+2a-2-a^2+3a-7=
3a^2-a^2+2a+3a-2-7=
2a^2+5a-9

What is the answer to 0.1 * n = 89.9 ?

Answers

divide both sides of the equation by 0.1 which leaves you with
n = 89.9/0.1 = 899

The Answer to this question is N=899
How? Let's solve your equation step by step.

0.1n=89.9

Step 1: divide both sides by 0.1.

0.1n = 89.9
0.1      0.1

so 89.9/0.1 we get

n=899
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