Mathematics High School

WHAT IS THE RECIPROCAL OF 5/8 WHOLE NUMBER OR FRACTION?

Answers

Answer 1
A reciprocal is just when you flip over the numerator and the denominator.
So, if you have 5/8, then its opposite, or reciprocal will be 8/5. It is also a fraction, as is 5/8.
You can write it as a mixed number, as the person above me mentioned, as 1 3/5. 
Answer 2

The reciprocal of the fraction 5/8 is 8/5.

We have,

Fraction:

5/8

Now,

To find the reciprocal of a fraction we write as,

x = 1/x

Now,

x = 5/8

So,

1/x

= 1/(5/8)

= 8/5

Thus,

The reciprocal of the fraction 5/8 is 8/5.

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Related Questions

Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in the sequence? What happens to the sum of this geometric sequence? (This question has one right answer.) Give an example of a geometric sequence to illustrate your reasoning. (Many answers are possible.)

Answers

the next  terms in the sequence will be multiplied by c, but the common ratio is still the same

example :

S = [1(3)^4 - 1]/ [3-1]  = 80/2 - 40

Hope this helps

If total Revenue is $3000, Cost of Goods is $1500, and total Selling Expense is $500; what is the Profit for the business?

Answers

I would like to see the multiple questions, but i'll try to help.Total Revenue $3000. Cost of goods is $1500. And total selling is $500. What is the profit. $3000 + $ 1500 =$4,500 - $500 = $4,000 Profit. I hope this is correct.
Profit= Total Revenue- Cost of goods- operating expense so the total Profit is $1,000

Which of the following are true statements?

Check all that apply.

A. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.
B. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will shrink it horizontally by a factor of 1/2.
C. ƒ(x)=-1/2√x has the same domain but a different range as ƒ(x)=√x.
D. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will shrink it vertically by a factor of 1/2.
...?

Answers

Answer:

A

C

Step-by-step explanation:

Here we must compare a function and its transformation, we will see that the correct options are A and C.

First, we must define the transformations that we will be using here.

Reflection about the x-axis:

For a function f(x) a reflection about the x-axis is written as:

g(x) = -f(x)

Vertical contraction.

For a function f(x) a vertical contraction of scale factor k is written as:

g(x) = k*f(x)

So here we start with:

ƒ(x)=√x

Then we reflect it about the x-axis to get:

ƒ(x)=-√x

Then we shrink it by a scale factor k = 1/2

ƒ(x) = (-1/2)*√x

From this, we can see that the correct options are:

A. The graph of ƒ(x)=-1/2√x will look like the graph of ƒ(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.

And C is also true, because we have a reflection about the x-axis, the range changed from positive values to negative values, so:

C. ƒ(x)=-1/2√x has the same domain but a different range as ƒ(x)=√x.

Is also a correct option.

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Rewrite the following without an exponent ₋7⁻¹.

Answers

The solution to the answer is as follows:

-7^-1 = -1/7

The expression without an exponent would be simplified to be -1/7.


I hope my answers has come to your help. Thank you for posting your questions here in Brainly. We hope to answer more of your inquiries son. God bless and have a nice day ahead!

The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed on the focus of the parabola. If the parabola is 60 inches wide and 30 inches deep, how far from the vertex should the microphone be placed?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
If we set the vertex at (0,0) then the curve goes through (30,30) 

y = 1/30 x^2 
x^2 = 30y 

Since the parabola x^2 = 4py has its focus at y=p, 4p=30 and the mic should be 15/2 inches up from the vertex.

What is the range of the function f(x) = 3x2 + 6x – 9

Answers

I have a solution here however with a slight change in the equation:

 f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator 

this is a U shape parabola and you want to find the bottom point, it is at the vertex 
x=-b/2a =- (-6) /2 (3) =1 
f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 
the minimum is (1, -2) 
so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!
Final answer:

The range of a function is the set of all possible output values. For the quadratic function f(x)=3x²+6x-9, because it forms an upward opening parabola, its range will start from its vertex point and continue to infinity. The range of this function will be y ≥ -6.

Explanation:

This student is asking about the range of a given quadratic function. In the context of mathematics, the term 'range' refers to the set of all possible output values (y-values) of a function. For your function, f(x) = 3x² + 6x - 9, this is a quadratic function, so it forms a parabola when graphed. Given the positive coefficient of x², the parabola opens upwards.

Therefore, the lowest point (also known as the vertex) of the parabola will provide the minimum value of the range - since the parabola continues indefinitely upwards, there's no maximum value. For a quadratic function in the form f(x) = ax² + bx + c, you can find the x-coordinate of the vertex using the formula -b/2a.

Applying this to your function, we get x = -6 / (2*3) which simplifies to -1. You can then substitute this x-value into the function to find the minimum y value: f(-1) = 3*(-1)² + 6*(-1) - 9 = -6. Thus, the range of the function f(x) = 3x² + 6x - 9 is y ≥ -6.

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triangle PQR is similar to Triangle TUV. the perimeter of triangle PQR is 60 inches. what is the perimeter of triangle TUV?

Answers

I'm assuming you don't know the definition of similarity, which is fine, but I want to clarify just in case you don't: Similarity is when two figures are the same in angles ONLY, and their sizes are proportional. Given this, PQR has a side 20" and TUV's respective side is 6". Now, there's a ratio: 20:6 Now, would you agree that it would then be logical that the perimeter would follow the same ratio? Where 60:P(TUV)? Hope this helps some!

Is the fraction 1/15 a terminating or repeating decimal?

Answers

The fraction 1/15 is a repeating decimal because, when converted, it results in the repeating pattern 0.0666..., where the digit 6 repeats indefinitely.

When the fraction 1/15 is converted to a decimal, it results in the repeating decimal 0.0666..., where the digit 6 repeats indefinitely.

This happens because 1 divided by 15 gives a quotient of 0.0666..., and the 6 in the decimal representation repeats infinitely.

In other words, the division process doesn't terminate or end, and the same pattern of digits repeats endlessly after the decimal point.

This repeating pattern signifies that the fraction 1/15 cannot be expressed as a finite decimal and will always have repeating digits when written in decimal form.

Therefore, 1/15 is classified as a repeating decimal rather than a terminating one.

What is the slope of a line parallel to 10x - 5y = 8?
What is the slope of a line parallel to 4x + 2y = 5?
What is the slope of a line perpendicular to x - 3y = 9?
What is the slope of a line perpendicular to x - 5y = -10?
What is the slope of a line parallel to 4x + y = -1?
A) m = -5
B) m = 2
C) m = -3
D) m = -4
E) m = -2

Answers

perpendicular linees have slopes that multiply to -1
paralell lines have slopes that are the same

also
for ax+by=c
the slope is -a/b
so



10x - 5y = 8? slope is -10/-5=2, paralell so slope of parallell line is also 2 (B)
4x + 2y = 5? slope is -4/2=-2, paralell so slope of paralell line is also -2 (E)
x - 3y = 9?  slope is -1/-3=1/3, perpendicular, so 1/3 times -3=-1 (C)
 x - 5y = -10? slope is -1/-5=1/5, perpendicular, so 1/5 times -5=-1 (A)
4x + y = -1? slope is -4/1=-4, parallel so -4 (D)




What is the slope of a line parallel to 10x - 5y = 8? B
What is the slope of a line parallel to 4x + 2y = 5? E
What is the slope of a line perpendicular to x - 3y = 9? C
What is the slope of a line perpendicular to x - 5y = -10? A
What is the slope of a line parallel to 4x + y = -1? D


.
Which of the following is the correctly abbreviated SI unit describing the amount of a substance?




M



kg



mol



g

Answers

the amount of substance unit is mol, the answer is c

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the number of sides. Benita solves this equation for n and writes the equivalent equation n = s/180 + 2.

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?

_______ sides

Answers

s = 180° ( n - 2 )
The equation for n is:
 n = s / 180°  + 2
 s = 1,260°
 n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.

the answer is 9 hope it helps

Translate the phrase into a math expression. twenty divided by the sum of 4 and 1.

Answers

20 / (4 +1 )

hope this helps you

If a 100(degree) arc of a circle has a length of 8 inches, to the nearest inch, what is the radius of the circle?

Answers

 100(degree) arc of a circle has a length og 8 inches what is og

A boat, whose speed in still water is 1.96 m/s, must cross a W = 217 m wide river and arrive at a point D = 111 m upstream from where it starts, as shown in figure below.


To do so, the pilot must head the boat at a 42.9° upstream angle. What is the speed of the river's current?

Answers

if u resolve the inital velocity then u will get the vertical component to be 1.96*cos 42.9 = 0.732 * 1.96=1.434 m / s time taken to cross = 217 / 1.434=151.32seconds distance travelled in x direction = 111m initial velocity in x direction = - 1.96 * sin 42.9 = = -0.680 *1.96= - 1.33 disance = speed * time d = (v of current + velocity of man) * time 111= (v - 1.33)* 151.32 v - 1.33 = 0.733 v= 1.33 + 0.73 = 2.063

Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.

How many points was each multiple choice question worth?

Answers

My solution here is as follows:

The scores were the same, so 

18m+19 = 15m+31 

Now solve for m, the # points for each multiple-choice question.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

Answer:

Each question had 4 points.

Step-by-step explanation:

Let the questions be x points each. As both Gretchen and Ezia received equal scores, we can write the equation as:

18x+19=15x+31   (Let the questions be x points each)

Solving for x;

[tex]18x-15x=31-19[/tex]

=> [tex]3x=12[/tex]

Dividing both sides by 3;

x = 4

Hence, each question had 4 points.

Rewrite the fraction as a decimal 57/5

Answers

57/5 as a decimal would be 11.4
Hope this helped!!
it is 11.4

hope this helps you

Find each unit cost
$12 for 4 square yards
$3.45 for 3.7 oz
$9 for 5 L

Answers

$3 for 1 square yard
$0.93 for 1 oz
$1.8 for 1 L

Scott and Harry went cycling every day. They increased the number of minutes of cycling every week as described below:

Scott: Cycled for 10 minutes every day in the first week, 15 minutes in the second week, 20 minutes in the third week, and 25 minutes in the fourth week.

Harry: Cycled for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.

Which statement best describes the methods used by Scott and Harry to increase the time they spent cycling?

A. Scott's method is linear because the number of minutes increased by an equal number every week.
B. Harry's method is linear because the number of minutes increased by an equal factor every week.
C. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal factor every week.
D. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal number every week.

Answers

Answer:

(A)

Step-by-step explanation:

Scott cycled for 10 minutes in first week, 15 minutes in second week,20 minutes in third week and 25 minutes in the fourth week which maintains a consistency in the line as there is consistent slope when drawn on a graph.

On, the other hand, harry cycled for 10 minutes in first week, 20 minutes in second, 40 minutes in third and 80 minutes in fourth week in which there is no consistency in the timings according to the weeks. Therefore, only, scott's method is linear as the number of minutes increased by an equal factor every week.

A room in the shape of a rectangular prism measures 15 feet by xx feet by 12 feet. Write a simplified expression for the volume (in cubic feet) of the room.
Volume ==
ft3

Answers

volume is length*width*height
V=LWH
V=(15)(x)(12)
15*12 is 180
V=180x ft^3

what is the GCF of 9, 27,and 63

Answers

The answer is 3.
3×3=9
3×9=27
3×21=63
The factors of 9 are 1,  3,  and 9 .

The factors of 27 are 1,  3,  9,  and 27 .

The factors of 63 are 1,  3,  7,  9,  21,  and 63 .

The common factors of 9, 27, and 63 are 1,  3,  and 9.

Their greatest common factor is  9  .



Choose what the expressions below best represent within the context of the word problem.

The length of a rectangle is 12 inches more than its width. What is the width of the rectangle if the perimeter is 42 inches?

x best represents .

x + 12 best represents .

Answers

I hope this helps you
The question is what both experssions best represent in the context of the problem.

The expresssion x best represents the width of the rectangle.

The expression x + 12 best reprents the lenght of the rectangle.

This is because if you call x the width, then the length is 12 more than that, i.e. 12 + x.

If you wanted to solve the problem now you could write

2*(width + length) = perimeter

2(x + 12 + x) = 24 and solve for x.

But the answer to the question is:

x best represents the width of the rectangle.

x + 12 best reprents the lenght of the rectangle.


Express this amount in dozens. (Use decimal form.) 7.5 cupcakes
...?

Answers

0.625 dozen

1/12 x 7.5
= 0.625

A student reads 3/5 of a book in 30 minutes. if the student is reading at the same speed in 40 minute how much of the book will the student read

Answers

He will read 4/5 of the book in 40 minutes

factorise tis please.
[tex] (x+3)^{2} +2(x+3)[/tex]

Answers

[tex]\displaystyle \boxed{(a+b)=a^2+2ab+b^2} \\ \\ (x+3)^2+2(x+3)= \\ x^2+2 \cdot x \cdot 3 +3^2+2x+6 = \\ x^2+6x+9+2x+6= \\ x^2+8x+15= \\ \\ \Delta= b^2-4ac \\ \Delta=8^2-4 \cdot1 \cdot15 \\ \Delta=64-60=4 \\ \\ \\ X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} = \frac{-8\pm2}{2} = \\ \\X1=5 \\ X2=3[/tex]

$9.00 for 3 pairs of socks

Answers

Sounds like your paying 3 dollars for each pair of socks. 

Benny has saved 42 quarters from washing cars how many cents does Benny have

Answers

We Know, 1 quarter = 25 cents
Then, 42 quarter = 25 * 42  = 1050 cents

So, he saved 1050 cents

Hope this helps!
Um, well if you do 42 x.25 =10.50$. So 1050¢ Hope this helps!

Which type of cause and effect graphic organizer would be best to identify why we use gasoline in our cars today and what we might use as fuel in the future?
a. Timeline
b. Flow chart
c. Both of these
d. None of these

Answers

Answer:  The answer is (a) Timeline.

Step-by-step explanation:  We are given four options out of which one is the cause and effective graphic organiser that best identifies why we use gasoline in our cars today and what we might use as fuel in the future.

The best option is Timeline, because they show the order of events, an event's place in history and identify events which lead up to, or cause, other events.

Flowcharts does not serve the purpose, because they do not clearly identifies the cause.

Thus, the correct option is (a).

Final answer:

A flow chart would be the best graphic organizer to identify why we use gasoline in our cars today and potential future fuels, as it clearly presents causes and effects in a non-linear way.

Explanation:

The type of cause and effect graphic organizer that would be most effective in identifying why we use gasoline in our cars today and what we might use as fuel in the future is a flow chart. A timeline would be helpful in demonstrating a chronological progression of fuels, but a flow chart allows you to clearly lay out causes and effects in a non-linear way, which is more suitable for this topic as it involves multiple possibilities for future fuels. It can visually present the reasons why we use gasoline now and the different options we have for future fuels, alongside their possible effects or outcomes.

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whats the anserr becuse i got this wrong on a home work sheet

Answers

Well to demonstrate the answer, let's look at a basic example:

Sq root of 2^2 = ?
Well 2 ^2 = 2•2 = 4 and the square root of 4 is 2. So whenever you think of what the opposite of squaring or raising something to the value of 2, the reverse would be taking the square root of the number or expression.

So sq root of 14x • sq. root of 14x = (sq. root of 14x) ^2 which is simply 14x.

The solution is 14x.

Deshaun went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?

Answers

62/1  99.2/x 
99.2/62 = x
The answer is 1.6 hours.

Deshaun drove at a speed of 62 miles per hour for 99.2 miles. To calculate the time spent driving, use the formula Time = Distance / Speed. The time taken for his drive is approximately 1.6 hours.

The question pertains to calculating the driving time given the speed and distance traveled by Deshaun in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. To find out how many hours he drove, we use the formula for time which is:

Time (t) = Distance (d) / Speed (v)

Here, the distance d is 99.2 miles and the speed v is 62 miles per hour.

So we calculate the time t as follows:

t = 99.2 miles / 62 miles per hour

The time taken by Deshaun for his drive is approximately 1.6 hours.

6 times the sum of 3 consecutive odd intergers is -18

Answers

The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





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