What is the reciprocal of 3 1/5

Answers

Answer 1

Answer:

5/16

Step-by-step explanation:

We need to change the mixed number to an improper fraction to find the reciprocal

3 1/5 = (5*3+1)/5 = 16/5

The reciprocal of 16/5 is found by flipping the fraction

5/16

Answer 2

Answer:

5/16

Step-by-step explanation:

To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.

You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.


Related Questions

Can anyone walk me through this?

Answers

Assuming that we are solving in terms of n.


Start by distributing:

2(n + 5)

(2*n) + (5*2)

2n + 10 = -2


Subtract 10 to start toward isolating your variable:

2n = -12


Divide by two to finish solving:

n = -6

Answer:

n=-6

Step-by-step explanation:

2(n+5)=-2

distribute the 2 to the numbers in the parentheses:

2n+10=-2

Get the n factor alone, subtract 10 from both sides:

2n=-12

Now you just want the n alone so you are going to use the inverse operation on 2n to both sides: 2n/2=-12/2

n=-6

If you need any other help i would be glad to assist.

The area of a rectangle is 108m^2 and its diagonal is 15m. Find the perimeter of the rectangle. Please without quadratics.

Answers

[tex]\text{l-length}\\\text{w-width}\\lw-area\\108\ m^2-area\\d-diagonal\\\\\text{The equation}\ \#1:\\\\lw=108\to l=\dfrac{108}{w}\\\\\text{The equation}\ \#2:\\\\\text{Use the Pythagorean theorem:}\\\\l^2+w^2=d^2\to l^2+w^2=15^2\to l^2+w^2=225\\\\\text{Subtitute from}\ \#1\ \text{to}\ \#2:[/tex]

[tex]\left(\dfrac{108}{w}\right)^2+w^2=225\\\\\dfrac{11,664}{w^2}+w^2=225\qquad\text{multiply both sides by }\ w^2\neq0\\\\11,664+w^4=225w^2\qquad\text{subtract}\ 225w^2\ \text{from both sides}\\\\w^4-225w^2+11,664=0\qquad\text{substitute}\ t=w^2 > 0\\\\t^2-225t+11,664=0\\\\\text{use the quadratic formula or solve by factoring}.\\\\t^2-144t-81t+11,664=0\\\\t(t-144)-81(t-144)=0\\\\(t-144)(t-81)=0\iff t-144=0\ or\ t-81=0\\\\\boxed{t=144}\ or\ \boxed{t=81}\to w^2=144\ or\ w^2=81\\\\w=\sqrt{144}\ or\ w=\sqrt{81}\\\\\boxed{w=12\ m}\ or\ \boxed{w=9\ m}[/tex]

[tex]\text{Put the values of}\ w\ \text{to the equation}\ \#1:\\\\l=\dfrac{108}{12}\to\boxed{l=9\ m}\ or\ l=\dfrac{108}{9}\to\boxed{l=12}\\\\\text{The formula of a perimeter of a rectangle:}\\\\P=2l+2w\\\\P=2(12)+2(9)=24+18=42\\\\Answer:\ \text{The perimeter of the rectangle is equal 42 m}.[/tex]

Final answer:

The perimeter of the rectangle is 42m.

Explanation:

To find the perimeter of the rectangle, we need to know the lengths of its sides. From the given information, we know that the area of the rectangle is 108m^2 and its diagonal is 15m. We can use this information to find the lengths of the sides.

Let the length of the rectangle be 'l' and the width be 'w'.
Given, lw = 108 and sqrt(l^2 + w^2) = 15.
Squaring both sides of the second equation, we get l^2 + w^2 = 225.
Since lw = 108, we can solve the quadratic equation l^2 - 108l + 225 = 0 to find l. In this particular case, the quadratic factors as (l - 9)(l - 12) = 0, so l = 9 or l = 12.
Substituting the values of l in the equation lw = 108, we find w = 12 or w = 9.
Since the perimeter is the sum of all the sides, the perimeter of the rectangle is (2l + 2w) = (2 * 9 + 2 * 12) = 42m.

The vertical axis is called the x-axis and the horizontal axis is called the y-axis. The entire plane containing these is called the xy-plane


TRUE OR FALSE

Answers

False
The vertical axis is called y axis
The horizontal axis is called x axis
False the vertical is the y axis and the horizontal is the X-axis.i hope this help

A coin is tossed five times find the number of possible outcomes

Answers

Answer:

10 possible outcomes

Step-by-step explanation:

- One coin has two sides (heads and tails)

- It is tossed 5 times

- 2 times 5 is 10

Multiply the number of choices for each coin flip and you get 2*2*2*2*2 = 32.

Flip # 1 : 2 choices (h or t), Flip # 2: 2 choices (h or t), Flip # 3: 2 choices (h or t), Flip # 4: 2 choices (h or t), Flip # 5: 2 choices (h or t)
Multiply the number of choices for each coin flip and you get 2*2*2*2*2 = 32.

Becky created a graph to represent her distance away from home one afternoon . She left home and ran to the park , met some friends and stayed at the park , and then walked back home using the same route . Which graph could Becky have created ?

Answers

Answer:

A discrete graph

Step-by-step explanation:

It would make sense because you can track the distances on the coordinate plane

Answer:

The first graph or A.

Step-by-step explanation:

Graph the function represented in the table on the coordinate plane.


x: −2, −1, 0, 1, 2

y:​ 8​, 5​, 2, −1 ​, −4 ​


please make answer a picture, im a bit dumb

Answers

Step-by-step explanation:

We are given the co-ordinates,

x : -2, -1, 0, 1, 2

y : 8, 5, 2, -1, -4

According to the graph, we see that this function represents a straight line.

The general form of the straight line is y = mx + c, where m is the slope and c is the y-intercept.

So, taking any two points we will find the equation of the straight line.

Consider, (0,2) and (1, -1). Now, slope is given by,

m = [tex]\frac{-1-2}{1-0}[/tex]

i.e. m = -3

Now, we will find the y-intercept of this equation using (0,2) and m = -3,

i.e. y = -3x + c

i.e. 2 = c

Hence, the equation of the straight line is y = -3x + 2.

Identify this conic section.

9x 2 + 4y 2 = 36

Answers

Divide: 9x 2/36 - 4y 2/36 = 36/36. Simplify: x2/4 - y2/9 = 1. Then do (x-0) 2/4 - (y-0)2 =1. Hyperbola.

Answer:

The correct answer on Odyssey is Ellipse

Step-by-step explanation:

I got it correct on Odyssey

42 point question 3/5 (10+5x)−1/3(6x+3)=9

Answers

Answer:

x = 4

Step-by-step explanation:

distribute both parenthesis on the left side of the equation

6 + 3x - 2x - 1 = 9

x + 5 = 9 ( subtract 5 from both sides )

x = 4


12(10b+6)=12(7b-6) pls helpppp

Answers

10b+6=7b-6.

3b=-12

b=-4.


*Note that you can just divide by 12 on both sides to simplify the equation.


The minimum monthly payment for Anita‘s credit card is 2% of her balance or $10 which ever is higher if I need is balance at the end of her last billing cycle was $360 what is her minimum monthly payment

Answers

balance = $360

2% of balance = 0.02*360 = 7.20

Since $10 is larger than $7.20, this means the min monthly payment is $10

Answer: 10

What is the volume of a pyramid with base of 11cm and a hight of 12cm?

Answers

ANSWER : 44.
Solving: v=1/3 bh
11•12=132, 132/3=44

Answer:

The answer would be 484

Step-by-step explanation:

Step 1: Multiply the length, width, and height.

11x11x12=1452

Step 2: Divide by 3

1452/3=484

What is the effect on the graph of the function f(x) = x when f(x) is replaced with −1/2f(x)?
A) vertical reflection over x-axis and vertical stretch
B) vertical reflection over x-axis and vertical compression
C) horizontal reflection over y-axis and horizontal stretch
D) horizontal reflection over y-axis and horizontal compression

Answers

Answer:

It would be C

You go to a school dance. There is an entrance fee, and there are slices of pizza for sale. After having 1 slice of pizza, you have spent a total of $6. After having 2 more slices of pizza, you have spent a total of $10. Write an equation that represents the total cost y after buying x slices of pizza at the dance.

Answers

Xcubed=y
Each slice was 2$ entrance fee was 4$

The equation representing the total cost after buying x slices of pizza

is [tex]\( C(x) = E + x \times P \)[/tex].

Let's denote the entrance fee as E (in dollars) and the cost of each slice of pizza as P (also in dollars). Given the problem, we can write the following equations based on the given information:

After having 1 slice of pizza, the total cost is $6:

[tex]\(E + 1 \times P = 6\)[/tex]

After having 2 more slices of pizza (total 3 slices), the total cost is $10:

[tex]\(E + 3 \times P = 10\)[/tex]

To find the equation that represents the total cost (y) after buying x slices of pizza (let's call it C(x), we need to generalize the pattern observed in the given equations.

Notice that the entrance fee remains constant regardless of the number of slices of pizza bought. So, we can write the equation as:

[tex]\[ E + x \times P = C(x) \][/tex]

Substituting the values given in the problem:

[tex]\[ C(x) = E + x \times P \][/tex]

So, the equation representing the total cost after buying x slices of pizza

is [tex]\( C(x) = E + x \times P \)[/tex]. This equation gives the total cost (y) as a function of the number of slices of pizza bought (x).

what is 3300 rpm in mph

Answers

The correct answer is 27

Last Saturday, Kevin walked his dog 1 2/7 miles. Sam walked his dog 7 times as far. How many miles total did both guys walk their dogs?

Answers

Answer:

[tex]10\dfrac{2}{7}\ miles[/tex]

Step-by-step explanation:

If Kevin walked his dog 1 2/7 miles and Sam walked his dog 7 times as far, then Sam walked his dog

[tex]1\dfrac{2}{7}\cdot 7=\dfrac{1\cdot 7+2}{7}\cdot 7=\dfrac{9}{7}\cdot \dfrac{7}{1}=9\ miles.[/tex]

Together they walked

[tex]1\dfrac{2}{7}+9=10\dfrac{2}{7}\ miles.[/tex]


I need help please. Must be correct. 10 points. Thanks

Answers

We have the supplementary angles.

The sum of the measures of the two Supplementary Angles is 180°.

Therefore we have the equation:

13x - 2 + 39 = 180

13x + 37 = 180     subtract 37 from both sides

13x = 143      divide both sides by 13

x = 11

Answer: 11

Given: ABC is a right triangle with right angle C. AB=18 centimeters and m∠A=22∘ .

What is BC ?

Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

BC = 6.7 cm (rounded to nearest tenth)

Explanation:

Given: ABC is a right triangle with right angle C as shown below.

Side AB=18 cm and m∠A=22°.

Using Sine ratio in triangle ABC to find BC.

Sine ratio is defined as the ratio of the opposite side of a right triangle to the hypotenuse.

i.e

[tex]\sin A = \frac{Opposite side}{Hypotenuse side}[/tex]

Let BC = x (opposite side) and AB = 18 cm(Hypotenuse side)

then;

 [tex]\sin 22^{\circ} = \frac{x}{18}[/tex]

[tex]0.37460659341 = \frac{x}{18}[/tex]

Multiply both sides by 18 we get;

[tex]x = 0.37460659341 \times 18 = 6.74291868[/tex]

therefore, value of BC (nearest tenth place) is, 6.7 cm


Answer: 6.7cm

Step-by-step explanation: I took the K12 test.

What is the rule?: 12, 24, 72, 288,1440

Answers

Answer:

12 x 2 = 24

24 x 3 = 72

72 x 4 = 288

288 x 5 = 1440

The result of each multiplication is being multiplied by the next consecutive number so the pattern is = x2,x3,x4,x5.

Step-by-step explanation:

Boom

What is the value of x?

a. 35 degrees

b. 25 degrees

c. 17 degrees

d. 8 degrees

Answers

It would be 25°. also, the interior angles of a triangle always add up to 180 so use that to find answers for other questions like this

write the following inequality in slope-intercept form. 5x-5y≥70

Answers

Final answer:

To rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form, we solve for y by subtracting 5x from both sides and then dividing by -5, resulting in y ≤ x - 14, with a slope of 1 and a y-intercept of -14.

Explanation:

The question is asking to rewrite the inequality 5x - 5y ≥ 70 in slope-intercept form. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To convert the given inequality into this form, we need to solve for y.



Steps to rewrite the inequality in slope-intercept form:

Subtract 5x from both sides of the inequality: -5y ≥ -5x + 70Divide every term by -5 to solve for y: y ≤ x - 14. Note that when dividing by a negative, the inequality symbol reverses its direction.



The inequality in slope-intercept form is y ≤ x - 14. The slope is 1 and the y-intercept is -14.

Which student solved problems at a rate of 28 per minute?

Answers

The student that solved at a rate of 28 per minutes was Logan

Answer:

Logan

Answer:

Logan solved problems at a rate of 28 problems per minute.

Step-by-step explanation:

To find the number of problems per minute that a person solved, you will divide the number of problems that they solved by the number of minutes that they took.

Murray:

58 problems in 2 minutes,

58 / 2 = 29

He solved problems at a rate of 29 problems per minute.

Kris:

78 problems in 3 minutes,

78 / 3 = 26

He solved problems at a rate of 26 problems per minute.

Logan:

84 problems in 3 minutes,

84 / 3 = 28

He solved problems at a rate of 28 problems per minute.

Since you found that Logan solved problems at a rate of 28 problems per minute, Logan is the student that solved problems at a rate of 28 per minute.

0.424 round each number to the place of the underlined digit. The underline number is 2.

Answers

Answer:

.42

Step-by-step explanation:

Since we are rounding to the 2, we will look at the digit after it

4 < 5 so we leave the 2 alone

.424 is rounded to .42

Answer:

0.42 is your answer

Step-by-step explanation:

The underlined number is 2. Look at the place value to the right. It is a 4. Because 4 is less than 5, round down.

0.424 rounded to the nearest hundredth place is 0.42

~

Which sides of the isosceles triangle are the legs?

Answers

the two equal sides are th legs making the base line of the triangle just the base line as the two on top are the legs

find the sum 4/20 + 7/8

Answers

Answer:

1 3/40

Step-by-step explanation:

4/20 + 7/8

We can simplify 4/20 by dividing the top and bottom by 4

1/5 + 7/8

We need to get a common denominator of 50

1/5 * 8/8 = 8/40

7/8 * 5/5 = 35/40


8/40 + 35/40

43/40

Changing this to a mixed number

1 3/40

Answer:

1 3/40

Step-by-step explanation:



[tex] \frac{1}{3} \times 4\frac{1}{4} = [/tex]

Answers

simplify to get 1/3 times 17/4 which simplifies to 17/12 or 1 and 5/12.


Answer:

17/12

Step-by-step explanation:

1/3 x 4 1/4 change to

1/3 x 17/4

multiply the top and then the bottom : 17/12




Graph the system of linear inequalities. Then state two possible solutions to the system. y> 2x + 2 y(less than or equal to)-3/2x-5

Answers

Answer:

I graphed it and u can find the two solutions :)

Step-by-step explanation:


can you simplify this expression -2b - 6 + 3b -2

Answers

b - 8
i believe is correct

Answer:   b - 8  is what i believe the answer is make sure tho im only in 6 th grade Step-by-step explanation:


I need help! I need to know how to do the work and what the answer is plzzz

Answers

Answer:

36 ft

Step-by-step explanation:

So the proportion of the big triangle is 48:4 or 12:1. So if the small triangle’s height is 3 feet, then 3*12 is 36 feet.

Answer: 36 ft

Step-by-step explanation:

Similar triangles means there is a constant proportion between the left legs, the base legs, and the hypotenuses.

[tex]\frac{LeftLeg(large)}{LeftLeg(small)}= \frac{BaseLeg(large)}{BaseLeg(small)}[/tex]

                  [tex]\frac{x}{3}= \frac{48}{4}[/tex]

Cross multiply: x(4) = 3(48)

solve for x:        ÷4     ÷4    

                          x    =  3(12)

                                =  36

Samuel has 2 1/4 cups of flour. She uses 1/3 of the flour to make pancakes. How many cups of flour did he use? Please try to explain this to me the best you can

Answers

Answer:

Samuel uses 1 11/12 cups of flour.

Step-by-step explanation:

Okay, this is assuming he uses the rest of the flour she didn't use.

The first step would be to find the Greatest Common Factor(GCF) of the fractions

2 1/4 and 1/3 have different denominators, but they both can divide into 12.

1/4 * 3/3 = 3/12

1/3 * 4/4 = 4/12

Now we can also convert 2 3/12 into an improper fraction to make it easier

2* 12/12 = 24/12

24/12+ 3/12 = 27/12

Here's the part were we subtract the two numbers.

27/12- 4/12 = 23/12

The last step is to simplify the fraction

23/12 = 1 11/12 cups

If $7800 is invested at 5.2% interest compounded monthly, how much will the investment be worth in 11 years?

Answers

Answer:

$4,461.60




Step-by-step explanation:


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