what is the quotient of 6/7 and 3/14

Answers

Answer 1

⁶/₇ ÷ ³/₁₄
= ⁶/₇ × ¹⁴/₃
= ⁽⁶⁾⁽¹⁴⁾/₍₇₎₍₃₎
= ⁸⁴/₂₁
= 4

Related Questions

A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 27 songs this month is $42.72. how much is the flat fee

Answers

I believe the answer is $15.45

Answer:

$15.99

Step-by-step explanation:

A music download service charges a flat fee each month and $0.99 per download.

Charge of downloaded 27 songs in this month = 0.99 × 27

= $26.73

The total cost for downloading 27 songs this month = $42.72

Therefore, the flat fee = 42.72 - 26.73 = $15.99

Flat fee for the month is $15.99.

The product of two consecutive positive even integers is 80. Find the integers

Answers

Greetings!

We can create an equation for this:
[tex](x)(x+2)=80[/tex]
Distribute the Parenthesis.
[tex]x^2+2x=80[/tex]
Add -80 to both sides.
[tex](x^2+2x)+(-80)=80+(-80)[/tex]
[tex]x^2+2x-80=0[/tex]
Factor the Simple Trinomial.
[tex]x^2+10x-8x-80=0[/tex]
Factor by Grouping.
[tex]x(x+10)-8(x+10)=0[/tex]
Factor the GCF.
[tex](x+10)(x-8)=0[/tex]
The Answer Is:
[tex](x+10)=0 \\ (x-8)=0[/tex]
[tex]x=-10 \\ x=8[/tex]

Either:
-10,-8 or 8,10
Can be the solution in this answer.

Hope this helps.
-Benjamin

Find the dimensions of a rectangle with perimeter 100m area of 336

Answers

Start by writing out the formulas for perimeter and area:
P=2L+2W A=L*W

We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.

Let's solve the first equation for L: L = 336/W

Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)

Now all you have to do is to solve this for W:

336/W + W = 50 becomes 336 + W^2 = 50W.

Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2

W has to be positive. Thus, choose W = (50+34) / 2 = 42

Then L = 336 / W, or 336 / 42, or 8.

The dimensions of this rectangle are 8 by 42.

You should check these results. Does P = 2(8) + 2(42) = 100 ?

G calculate the iterated integral. 8 −8 π/2 (y + y2 cos(x)) dx dy 0

Answers

[tex]\displaystyle\int_{y=-8}^{y=8}\int_{x=0}^{x=\pi/2}(y+y^2\cos x)\,\mathrm dx\,\mathrm dy=\int_{y=-8}^{y=8}(xy+y^2\sin x)\bigg|_{x=0}^{x=\pi/2}\,\mathrm dy[/tex]
[tex]=\displaystyle\int_{y=-8}^{y=8}\left(\dfrac\pi2y+y^2\right)\,\mathrm dy[/tex]
[tex]=\left(\dfrac\pi4y^2+\dfrac13y^3\right)\bigg|_{y=-8}^{y=8}[/tex]
[tex]=\dfrac{1024}3[/tex]

Final answer:

To solve the given iterated integral, integrate the function of x with respect to x and then integrate the resulting function with respect to y.

Explanation:

The given iterated integral can be solved by integrating the function of x with respect to x first and then integrating the resulting function with respect to y. The limits of integration are given as (-8, 8) for x and (0, π/2) for y.

Step 1: Integrate the function of x with respect to x.

Step 2: Integrate the resulting function of x with respect to y.

Step 3: Evaluate the iterated integral using the given limits of integration.

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Find the volume v of the described solid s. the base of s is the triangular region with vertices (0, 0), (5, 0), and (0, 5). cross-sections perpendicular to the y-axis are equilateral triangles.

Answers

Final answer:

To find the volume of the solid with a triangular base and equilateral triangular cross-sections, we integrate the area of the cross-sections along the y-axis from 0 to 5 based on the changing side length, which is a linear function of y.

Explanation:

The problem requires finding the volume of a solid with a triangular base and equilateral triangular cross-sections perpendicular to the y-axis. The base of the solid, S, is a right triangle with vertices at (0, 0), (5, 0), and (0, 5). The height of each equilateral triangular cross-section at any point y is the distance from the point (y, 0) to the hypotenuse of the triangular base, which is linear and can be described by the equation x + y = 5. Because cross-sections are equilateral triangles, each side of a cross-section is twice the length of the height. Therefore, the area of a cross-section is ½∙height²∙√3.

As we move along the y-axis from 0 to 5, the length of a side of each cross-section decreases linearly from 5 to 0. We can integrate the area of these cross-sections from y = 0 to y = 5 to find the total volume of the solid. The integral for the calculation of volume is:

∫ (2∙(5-y))² × √3/4 dy from y=0 to y=5

Upon integrating, this gives us the volume of the solid S.

Please help and explain how you got it

Answers

check the picture below.

notice, the figure is just, a triangle with a base of 3 and an altitude of 4, a rectangle of 4x7, and a semi-circle with a diameter of 4.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \begin{cases} d=diameter\\ r=radius=\frac{d}{2}\\ -------\\ d=4\\ r=2 \end{cases}\implies \begin{array}{llll} A=\pi 2^2\implies A=4\pi\\\\ \textit{area of half that circle}\\\\ A_h=\cfrac{4\pi }{2}\implies A_h=2\pi \end{array} \\\\ -----------------------------\\\\ \stackrel{\textit{area of triangle}}{\frac{1}{2}\cdot 3\cdot 4}+\stackrel{\textit{area of the rectangle}}{4\cdot 7}+\stackrel{\textit{area of the semi-circle}}{2\pi } \\\\\\ 6~~+~~28~~+~~2\pi[/tex]

Naomi has earned $54 mowing lawns the past 2 days. She worded 21/2 hours yesterday and 41/4 hourse today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?

Answers

she worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.

first off, let's check how many hours she worked total, and divide 54 by it.

so, first off, let's convert the mixed fractions to "improper" and add them up.

[tex]\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\\\ \stackrel{mixed}{4\frac{1}{4}}\implies \cfrac{4\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{17}{4}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{5}{2}+\cfrac{17}{4}\impliedby \textit{our LCD will be 4}\implies \cfrac{(2\cdot 5)+(1\cdot 17)}{4} \\\\\\ \cfrac{10+17}{4}\implies \cfrac{27}{4}\implies \stackrel{total~hours}{6\frac{3}{4}} \\\\\\ \cfrac{\stackrel{wages}{54}}{\stackrel{hours}{6\frac{3}{4}}}\implies \cfrac{54}{\frac{27}{4}}\implies \cfrac{\frac{54}{1}}{\frac{27}{4}}\implies \cfrac{54}{1}\cdot \cfrac{4}{27}\implies \cfrac{216}{27}\implies 8~\frac{\$}{hr}[/tex]

Word problem. Help (:

Answers

I just got 5 free points.

With continuous compounding, a principal of P dollars accumulates to an amount A given by the equation
A = Pe^rt
where r is the interest rate and t is the time in years.
a) suppose you start with a principal of $1000 and an interest rate of 7%. how much work will you have in ten years
b)suppose you start with a principal of $1000 and an interest rate of 75. how long will it be until you have $2000? round to the nearest tenth of a year. PLEASE HELP

Answers

a)

[tex]\bf \qquad \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1000\\ r=rate\to 7\%\to \frac{7}{100}\to &0.07\\ t=years\to &10 \end{cases} \\\\\\ A=1000e^{0.07\cdot 10}[/tex]

Find 20.25 + -15.711

Answers

20.25 - 15.711 = 4.539

hope this helps

4.539
Make sure if you have to show ur work line up the decimals and remember the rules to negative numbers

A 12 ounce can of lemonade costs $1.32. How much would a 16 ounce can of lemonade cost

Answers

$1.32 ÷ 12 ounces = $0.11 per ounce

$0.11 x 16 ounces = $1.76

A 16 ounce lemonade is $1.76.

The amount of cost of the lemonade of 16 ounces will be $1.76.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A 12-ounce can of lemonade costs $1.32.

Then the cost of 1 ounce will be

⇒ $1.32 / 12

⇒ $0.11 per ounce

Then the amount of the cost of the lemonade of 16 ounces will be

⇒ $0.11 x 16

⇒ $1.76

The amount of cost of the lemonade of 16 ounces will be $1.76.

More about the ratio and the proportion link is given below.

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What happened to the glass blower who inhaled

Answers

he can now breath fire

Answer: he got pane in his stomach

Step-by-step explanation:

because he ate glass

A refrigerator has a volume given by the trinomial y^3 + 5y^2 – 14y. What are the possible dimensions of the refrigerator? Use factoring

Answers

y^3 + 5y^2 - 14y

first factor out a "y"

y(y^2 + 5y - 14)

y(y + 7)(y - 2)

The dimensions are then;
y
y + 7
y - 2

The sum of two numbers is 62. The smaller number is 18 less than the number.what are the numbers ?

Answers

hmmm assuming you meant "is 18 less than the larger number".

let's say the numbers are "a" and "b".

a = smaller number
b = larger number

a = b - 18

[tex]\bf \begin{cases} a+b=62\\ \boxed{a}=b-18\\ ----------\\ \left( \boxed{b-18} \right)+b=62 \end{cases} \\\\\\ 2b-18=62\implies 2b=80\implies b=\cfrac{80}{2}\implies b=40[/tex]

what's a? well, a = b - 18.

A local little league has a total of 60 players 80 percent are right handed. How many right handed players are there

Answers

Just find 80% of 60 players: 0.80(60 players) = 48 players are rt. handed.

There are 48 right handed players

Find an equation of the line that satisfies the given conditions. x-intercept 1; y-intercept −4

Answers

My make an equation in the form y=my+b
You already have the y intercept, -4

Y=mx-4

And you have the two points (1,0) and (0,-4)
To find the slope (rise over run) to get from the two points you go over one up 4

So the slope is 4/1 or 4

The equation is:

Y=4x-4

Hope this helps!

The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the equation is y = mx + c which is the standard form of the linear equation.

Now,

At x- intercept ⇒ (1,0)

So,

0 = m(1) + c

c = -m

And y- intercept ⇒ (0,-4)

-4 = m(0) + c

c = -4

So m = 4

Therefore,

y = 4x - 4 will be the equation.

Hence "The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4".

For more about the equation,

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If it is sunny, then I will have a picnic.
Today it is sunny

1)I will have a picnic today
2)if I am having a picnic, it must be sunny
3)if it is not sunny, then I will not have a picnic
4)not possible

Answers

Answer:

Answer not possible

Step-by-step explanation:

invalid

the rest on you guys yw

honors geom

What is .16 repeating as a simplified fraction?

Answers

I'm assuming this is 0.1666666...

Which in that case is 1/6.

(Just from memory)

To do 0.161616161616...

First, assign 0.161616... a variable, say it's x.

Now say 100x, what is it.

16.1616161616...

Now subtract x from 100x.

16.161616161616... - 0.16161616...

Or, 99x

99x = 16 in this case right now

Divide both sides by 99

x = 16/99

So it really depends what's repeating, it's either 1/6 or 16/99.

Write a situation in which positive and negative numbers are used to describe values that have the opposite meaning.

Answers

The measurement of temperature where for example -2 degrees means 2 degrees below freezing and 2 degrees means 2 degrees above freezing.

What is the range of arcsinx

Answers

y= arcsin(x) is equivalent to sin(y) = x

we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2

Final answer:

The range of the inverse sine function, or arcsin(x), is the set of angles from -π/2 to π/2 radians, which is the same as -90° to 90° degrees. This defines the possible output values of the function for all real numbers in the interval [-1, 1].

Explanation:

The question "What is the range of arcsinx" concerns itself with the inverse trigonometric function, specifically the inverse of the sine function. The range of a function is the set of all possible output values it can produce. For the inverse sine function, or arcsin(x), the range is the set of angles that can produce all possible sine values, which are within the closed interval [-1, 1].

The sine function itself has a range from -1 to 1, so the arcsine function, being its inverse, takes on values that are angles that correspond to these sine values. In terms of angles, the range of the arcsin function is [-π/2, π/2] or [-90°, 90°] in degrees. This means that for any input value x within [-1, 1], the output of arcsin(x) will always be an angle measured in radians (or degrees) that falls within this range.

One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36

Answers

Let the numbers be x and y. Write out mathematical equations:

y=2x and x+y=36

You were not asked to solve this problem, but should do so for practice. Subst. 2x for y in the 2nd equation: x + 2x = 36; 3x = 36; x = 12. Find y. Then check your solution.

Let

y------>one number

x------> another number

we know that

[tex]y=2x[/tex] ------> equation A

[tex]x+y=36[/tex] ------> equation B

substitute equation A in equation B

[tex]x+2x=36[/tex]

[tex]3x=36[/tex]

[tex]x=12[/tex]

Find the value of y

[tex]y=2x[/tex]

[tex]y=2*12=24[/tex]

the numbers are [tex]24[/tex] and [tex]12[/tex]

therefore

the answer is

The system of equations are

[tex]x+y=36[/tex] and [tex]y=2x[/tex]

A store discounts the price of a beanbag chair by 20%. The price of the beanbag chair is marked as $16. What was the original price of the beanbag chair?

Answers

Use this to solve:

4/5 = 16/x

Since these are equivalent fractions;

you can divide 16 by 4

then multiply by 5

that should give you the original price of the bean bag chair!

original price of the beanbag chair was $20 before the 20% discount was applied.

To find the original price of the beanbag chair that has been discounted by 20%, we set up an equation. Let's denote the original price as P. A 20% discount on the original price means the chair is being sold for 80% (100% - 20%) of P. This is represented by the equation 0.80P = $16.

To find P, we simply divide both sides of the equation by 0.80:

P = $16 / 0.80

This gives us:

P = $20

Therefore, the original price of the beanbag chair was $20 before the 20% discount was applied.

Joel has 210 baseball and football cards. He has 50 more baseball cards than football cards. How many of each does he have?
Need to explain this to a 3 rd grade without dividing?

Answers

210 - 105 = 105 so 105 plus 25 because that is half of 50 and the other 105 minus 25 because that is the other half of 50 so he has 130 baseball cards and 80 football cards

hope this helps if so please mark me brainliest!! :)

Grammy's apple orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6- ounce bottles of cider for $1.99. What is Grammy's competitor's price per ounce for cider?

Answers

Sent a picture of the solution to the problem (s).

HELP MEEEE!!!!!!!!! I BEG YOU !!!!!!

Answers

I gottcha bruh.
She earns $250 in one week, so we know she has earned that much. If she earns 8% on $1100.00, that means she earns $88. Add this to the $250, and you get $338 ~Have a Great Day!~

the cost (in dollars) of making n birthday cakes is represented by C=24n+35. How many birthday cakes are made when the cost is $395? explain your reasoning

Answers

395 = 24n +35
subtract 35 from both sides
360 =24n
divide both sides by 24
15=n

Write an equation and solve. 21 is 35% of what number?

Answers

It's 35% of 60. You can create a ratio. I included the ratio but you can easily substitute 60 with the variable x.
(21/60)=(35/100)

If a grouping of numbers, variables, operators and/or functions used to represent a specific mathematical computation or connection is known as an expression. The expression 21 of 35% is 60.

What is the expression?

Let x represent the unknown number

The given data states that 21 is 35% of that unknown number.

Mathematically we can express this relationship as an equation:

0.35 * x = 21

To solve for x divide both sides of the equation by 0.35:

x = 21 / 0.35

Evaluating the expression on the right side of the equation:

x = 60

Therefore, 21 is 35% of 60.

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Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days

Answers

Corinne's puppies eat 92 meals in 32 days.

Corinne's puppy eats a total of 96 meals in 32 days.

To find out how many meals Corinne's puppy eats in 32 days, we need to multiply the number of meals per day by the number of days.

Determine the number of meals per day.

Since the puppy eats 3 meals a day, the number of meals per day is 3.

Calculate the total number of meals in 32 days.

Number of meals per day × Number of days = Total number of meals

3 meals/day × 32 days = Total number of meals

3 × 32 = Total number of meals

96 = Total number of meals

So, Corinne's puppy eats a total of 96 meals in 32 days.

Complete Question:

Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days ?

Simplify the expression.

1/4 n (-24+8m-100p)

A. –6n + 2mn – 25np

B. –6n – 2mn + 25np

C. –24n + 8mn – 100np

D. –6n + 2m – 25np

Answers

1/4 n (-24+8m-100p)
= -24n/4 + 8mn/4 - 100np/4
= -6n + 2mn - 25np

answer
A. -6n + 2mn - 25np

7/8m +9/10-2m-3/5 how to do this question

Answers

Step by step solution :Step 1 : 3 Simplify — 5 Equation at the end of step 1 : 7 9 3 (((—•m)+——)-2m)-— 8 10 5 Step 2 : 9 Simplify —— 10 Equation at the end of step 2 : 7 9 3 (((— • m) + ——) - 2m) - — 8 10 5 Step 3 : 7 Simplify — 8 Equation at the end of step 3 : 7 9 3 (((— • m) + ——) - 2m) - — 8 10 5 Step 4 :Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

      The left denominator is :       8

      The right denominator is :       10

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 23135011 Product of all
Prime Factors 81040

Least Common Multiple:
40

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 5

   Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 7m • 5 —————————————————— = —————— L.C.M 40 R. Mult. • R. Num. 9 • 4 —————————————————— = ————— L.C.M 40 Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7m • 5 + 9 • 4 35m + 36 —————————————— = ———————— 40 40 Equation at the end of step 4 : (35m + 36) 3 (—————————— - 2m) - — 40 5 Step 5 :Rewriting the whole as an Equivalent Fraction :

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 40 as the denominator :

2m 2m • 40 2m = —— = ——————— 1 40

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

(35m+36) - (2m • 40) 36 - 45m ———————————————————— = ———————— 40 40 Equation at the end of step 5 : (36 - 45m) 3 —————————— - — 40 5 Step 6 :Step 7 :Pulling out like terms :

7.1 Pull out like factors :

36 - 45m = -9 • (5m - 4)

Calculating the Least Common Multiple :

7.2    Find the Least Common Multiple

      The left denominator is :       40

      The right denominator is :       5

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 23035111 Product of all
Prime Factors 40540

Least Common Multiple:
40

Calculating Multipliers :

7.3    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 8

Making Equivalent Fractions :

7.4 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. -9 • (5m-4) —————————————————— = ——————————— L.C.M 40 R. Mult. • R. Num. 3 • 8 —————————————————— = ————— L.C.M 40 Adding fractions that have a common denominator :

7.5 Adding up the two equivalent fractions

-9 • (5m-4) - (3 • 8) 12 - 45m ————————————————————— = ———————— 40 40 Step 8 :Pulling out like terms :

8.1 Pull out like factors :

12 - 45m = -3 • (15m - 4)

Final result : -3 • (15m - 4) —————————————— 40

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