What number should I multiply 1 1/4 by to get 7/12

Answers

Answer 1

Let's take our given information and transform it into numbers. We will let x equal the "mystery" number we need to find. Here is our equation:
[tex]1 \frac{1}{4} x= \frac{7}{12} [/tex]
Now, all we need to do is convert the mixed fraction into an improper fraction:
[tex] \frac{5}{4} x= \frac{7}{12}[/tex]
Now, just multiply the reciprocal of 5/4 with 7/12, giving us:
[tex] x=\frac{4}{5}* \frac{7}{12} [/tex]
Finally, just straight up multiply to get an answer of x = 28/60, which can be simplified down to x = 7/15. Therefore, the number you have to multiply 1 1/4 to get 7/12 is 7/15. Hope this helped!

Answer 2

1 and 1/4 is the same as 5/4 so essentially we are asking what do we multiple 5/4 by to get 7/12. Try to keep things as fractions initially to see if there is a fractional answer with whole numbers.

Let x represent the number:
x . 5/4 = 7/12
i.e. 5x/4 = 7/12
We want to get x on it's own so multiply both sides of equation by 4
5x = 4 . (7/12) = 28/12
now divide both sides by 5 to get x on its own
x = (28/12) / 5
This does not equate to a whole number fraction as 28 and 12 are not divisible by 5. So simply convert to decimal
x = 2.3333 / 5 = 0.46666

Related Questions

Kathy can clean 12 house in 10 hrs. If she goes at a steady pace. How many hrs. will it take her to clean 27 houses?

Answers

To solve this, set up a proportion with X being our unknown. If she cleans 12 houses in 10 hours, she cleans 27 houses in X hours. It will look like [tex] \frac{12}{10} = \frac{27}{x} [/tex].

Now cross-multiply to get 12x = 27(10) or 12x = 270. Divide by 12 on both sides to isolate x, X = 22.5.

It will take Kathy 22.5 hours to clean 27 houses. Must be some pretty small houses.

12 houses/10 hours=1.2 house per hour
27 houses/1.2 houses per hour=22.5 hours

Which ordered pair would form a proportional relationship with the point graphed below?

(–10, 30)
(30, –15)
(–30, 10)
(80, –30)

Answers

The (–30, 10) ordered pair would form a proportional relationship with the point graphed option (C) is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The point (60, -20) is shown in the graph:

As we know from the definition of the proportional relationship:

y = kx

Here k is the constant of proportionality.

k = y/x

k = -20/60

k = -1/3

y = -x/30

Plug x = -30

y = 10

(–30, 10)

Thus, the (–30, 10) ordered pair would form a proportional relationship with the point graphed option (C) is correct.

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Express 9.21212121212... as a rational number, in the form pq

Answers

[tex]x=9.212121\ldots=9.\overline{21}[/tex]
[tex]100x=921.212121\ldots=921.\overline{21}[/tex]
[tex]99x=921.\overline{21}-9.\overline{21}=921-9=912[/tex]
[tex]\implies x=\dfrac{912}{99}=\dfrac{304}{33}[/tex]

What inequality represents the verbal expression? 1. all real numbers less than 69?

Answers

The answer would be x <69

How many different 4-digit sequences can be formed using the digits 0, 1,..., 6 if repetition of digits is allowed

Answers

0 through 6 is 7 total numbers

1st digit can be 0-6 = 7 numbers

2nd digit can be 0-6 = 7 numbers

3rd digit can be 0-6 = 7 numbers

4th digit can be 0-6 = 7 numbers

7 * 7 *7 *7 = 2401 different combinations

The cost function for a particular product is given by C(x)=0.0001 x^3−0.015x^2+13.1x+120 dollars, where 0≤x≤60. Find the minimum marginal cost of the product, rounded to the nearest cent.

Answers

The cost function for a particular product is given by C(x)=0.0001 x^3−0.015x^2+13.1x+120 dollars, where 0≤x≤60. Find the minimum marginal cost of the product, rounded to the nearest cent, Would be C= 0.0001x^3−0.015x^2+13.1x+120 / X or C=0.0001x^3−0.015x^2+133.1x

Final answer:

To find the minimum marginal cost, differentiate the cost function to get the MC function, find its critical points, and evaluate it at these points within the interval.

Explanation:

To find the minimum marginal cost of the product, we need to differentiate the cost function C(x) with respect to x to find the marginal cost function, then find the critical points within the given interval by setting the derivative to zero and solving for x.

The cost function is C(x) = 0.0001x^3 - 0.015x^2 + 13.1x + 120. The marginal cost (MC) function, MC(x), is the first derivative of the cost function with respect to x:

MC(x) = dC/dx = 0.0003x^2 - 0.03x + 13.1.

To find the minimum marginal cost, we need to differentiate the MC function to find its critical points:

dMC/dx = 0.0006x - 0.03

Setting dMC/dx equal to zero and solving for x gives us:

0.0006x - 0.03 = 0
x = 50

After finding the critical point, we check if it is within the interval [0,60] and evaluate the MC function at x = 50 to find the minimum MC. Rounding it to the nearest cent, we have:

MC(50) = 0.0003(50)^2 - 0.03(50) + 13.1

The final minimum marginal cost of the product is calculated and rounded to determine the minimum cost to produce one more unit of output.

The ____ function can be used to ensure that a number has the appropriate number of decimal places.

Answers

The round function can be used to ensure that a number has the appropriate number of decimal places.

y varies directly as x when x= 3 and y =12 find y when x =12

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} x=3\\ y=12 \end{cases}\implies 12=k3\implies \cfrac{12}{3}=k\implies 4=k \\\\\\ thus\qquad \boxed{y=4x} \\\\\\ \textit{when x = 12, what is \underline{y}?}\qquad \qquad y=4(12)[/tex]

1. which expression is equivalent to 8 × 8 × 8 × 8?

A. 8 × 4
B. 8^5
C. 8^4
D. 4^8

2. which expression is equivalent to 4 × 4 × 4 × 4 × 4 × 4 × 4?

3. which expression is equivalent to 7 × 7 × 7 × 7 × 7 × 7?

4. which expression is equivalent to 4 × 4 × 4?

5. which expression is equivalent to 3 × 3?

Answers

question 1: c. ) 8^4 question 2: 4^7 question 3: 7^6 question 4: 4^3 question 5: 3^2

1. A. 8×4
2. 4×7
3. 7×6
4. 4×3
5. 3×1 or 3×2 it's probably 3×2 tho

Messages arrive to a computer server according to a poisson distribution with a mean rate of 10 per hour. determine the length of an interval of time such that the probability that no messages arrive during this interval is 0.90.

Answers

Assuming that the Poisson distribution is applicable:
The Poisson distribution is f(k) = λ^k * e^(-λ) / k!
Where:λ is the expected number of circumstances of the occurrence during interval t ;

In the problem, r = 10 calls/hour. Where it is also = 1/360 calls/sec , therefore λ = t/360 calls during interval t ;
f(k) is the probability of exactly "k" occurrences;

So based from the problem: f = 0.9 ; k = 0 ; λ = t/360

0.9 = (t/360)^0 * e^(-t/360) / 0!

0.9 = e^(-t/360)

t = -360 ln 0.9 = 37.93 s
it is approximated: 38 s is the interval with 0.9 probability of no calls received

Add: 3 cups 6 oz + 2 cups 9 oz

Answers

6 cups 7oz is your answer

what is the equation for a line that passes through (-7, 2) and is perpendicular to the graph of y=-1/2x+3

Answers

first off, what is the slope of say y = -1/2x+3? well, let's take a peek

[tex]\bf y=\stackrel{slope}{-\cfrac{1}{2}}x+3[/tex]

well, then, a line perpendicular to that line, will have a slope that is negative reciprocal to that one, so if the slope of that graph is -1/2, then

[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{2}\\\\ slope=-\cfrac{1}{{{ 2}}}\qquad negative\implies +\cfrac{1}{{{ 2}}}\qquad reciprocal\implies + \cfrac{{{ 2}}}{1}\implies 2[/tex]

so, we're really looking for the equation of a line whose slope is 2, and runs through -7, 2.

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -7}}\quad ,&{{ 2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=2[x-(-7)] \\\\\\ y-2=2(x+7)\implies y-2=2x+14\implies y=2x+16[/tex]

A perpendicular line will have a negative reciprocal slope (-1/2 → 2/1)
Use the given point to find the y-intercept "b" in y = mx+b

y = 2x + b
2 = 2(-7) + b
2 = -14 + b
2 + 14 = b
16 = b

final equation :
y = 2x + 16

Which unit would you use to measure the length of a football field mm cm m or km?

Answers

i would use meters. the others are either too short or too long

A childcare center charges $150 per week during the school year In the summer, parents can pay a prorated amount based on the number of days of attendance How much do parents pay per day

Answers

$30 a day, hope this was the answer you were looking for

answered wrong one. By the way, its 30

74,137 rounded to the nearest thousands is

Answers

74,000 is your answer

Hope this helps

What is the perimeter of a parallelogram if it has a base width of 3x+9 and it has a height length of 4x-5?

Answers

So basically the perimeter of a parallelogram is

2*length + 2*width

Or, in this case, once you substitute everything in,

2 * (3x + 9) + 2 * (4x - 5)

Use the distributive property, to distribute the 2s to everything inside the parenthesis.

2 * 3x + 2 * 9 + 2 * 4x + 2 * -5

6x + 18 + 8x - 10

Then just add everything

14x + 8 = perimeter

what is the factor expression of 27 + 33

Answers

20+7 + 30+3 is that what you meAN

Yes 20+7 30+ 3 that’s what they mean

Use an algebraic rule to describe a translation right 4 units and down 2 units.

Answers

In the conventional Cartesian plane, horizontal coordinates increase to the right and vertical coordinates increase up. Hence the described translation adds 4 to each horizontal coordinate and -2 to each vertical one:
(x, y)⇒(x+4, y-2)

Molly bake 24 blueberry muffins and 18 banana muffins she wants to package them for a bake sale each package will have the same number of each kind of muffin what is the greatest number of packages that molly can make if she wants to use all of the muffins

Answers

6 packages: 4 Blueberry and 3 Banana per ;)

5x^7y^4+25xy^2+15xy^3/5xy^3

Answers

The answer is
5x^7y^4+3x^2y^6+25xy^2

a square has a perimeter of 6x - 20 units. What is the value of x?

Answers

The variable “x” is equal to 10.

I solved for the length of one side, which came out to (3/2)x -5.

Let's try something new:

Perimeter = 6x - 20 = 2W + 2L, but here W = L because this is a square.

Then 6x - 20 = 4W = 4x

Then 6x - 4x = 20; 2x = 20; x = 10.

This is a square with side length 10. Its perimenter is thus 4(10) = 40.

Does 6(10) - 20 = 40? Yes. So, x = 10.

A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56, two bags of 57, one bag of 55, and two bags of 58. to test the hypothesis that the mean candies per bag is 56, how many degrees of freedom are there?

Answers

In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

Final answer:

The number of degrees of freedom for the hypothesis test that the mean candies per bag is 56 is 7, calculated by subtracting one from the total number of sampled bags.

Explanation:

To calculate the number of degrees of freedom for the hypothesis test that the mean candies per bag is 56, we use the sample size minus one. The sample size is the number of observations, which is the total count of bags sampled. In this case, we have a total of 8 bags (three bags of 56, two bags of 57, one bag of 55, and two bags of 58). Therefore, the degrees of freedom for this test would be 8 - 1 = 7.

What is the sum of 1.53 + 2.786 + 3.3 written with the correct number of significant figures?

Answers

1.53 + 2.786 + 3.3 =

7.616

:D

Answer:

1.53 + 2.786 + 3.3 = 7.6

Step-by-step explanation:

Significant figures is the number of digits that carry precision in a number.

In mathematical operations involving significant figures, an answer is no more precise that the least precise number used to get the answer.

For addition, look at the places to the decimal point. Add in the normal fashion, then round the answer to the least number of places to the decimal point of any number in the problem.

To find the sum of 1.53 + 2.786 + 3.3 you must:

[tex]1.53 + 2.786 + 3.3\\4.316 + 3.3\\7.616\\[/tex]

Because 3.3 is the number with the smallest sig figs, the result should have as many decimal places as the number with the smallest sig figs. Therefore, 7.6.

if 60 blimps each had 70 people on board,how many people would be riding on the blimp

Answers

4,200 people would be on all the blimps

Final answer:

By multiplying the number of blimps (60) with the number of people on each blimp (70), we find that a total of 4200 people would be riding on the blimps.

Explanation:

This is a simple multiplication problem, where you simply need to multiply the number of blimps by the number of people on each blimp to get the total number of people. In this case, we have 60 blimps each carrying 70 people. So we multiply 60 blimps by 70 people to get the total number of people, which is 4200 people. Therefore, if 60 blimps each had 70 people on board, a total of 4200 people would be riding on the blimps.

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A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 18 m above ground level?

Answers

assume the center of ferris wheel is 13 m from ground
h = elevation of rider
A = angle of elevation of rider with respect to center of ferris wheel
dA/dt = 2pi/2 = pi rads/min

h = 13sin(A) + 13

dh/dt = 13cos(A)dA/dt

when h = 18 m
18 = 13sin(A) + 13
sin(A) = 5/13
cos(A) = sqrt(1 - (5/13)^2)
cos(A) = 12/13

dh/dt = 13*12/13*pi
dh/dt = 12pi m/min

Final answer:

To find the speed at which the rider is rising, we use trigonometry and differentiation to calculate the rate of change of the height with respect to time. The speed is approximately -8.14 m/min.

Explanation:

To find the speed at which the rider is rising, we need to find the rate of change of the height of the rider with respect to time. This can be done using the concept of trigonometry and differentiation.

Since the Ferris wheel completes one revolution every 2 minutes, the angular speed is given by 2π radians per 2 minutes, which simplifies to π radians per minute.

The height of the rider can be represented by a sinusoidal function, and by taking the derivative of this function, we can find the rate of change of the height with respect to time. In this case, the derivative would be -13sin(t), where t is the time in minutes.

Substituting t = 18 minutes into the derivative equation, we can calculate the rate at which the rider is rising. Plugging in the value, we get a speed of -13sin(18) m/min, which is approximately -8.14 m/min.

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Which equation could you use to solve for x in the proportion 4/5=9/x ?

Answers

[tex] \frac{9}{x} = \frac{4}{5} [/tex]
dividing both sides by 9
[tex] \frac{1}{x} = \frac{4}{5 \times 9} [/tex]
rasing both sides to the power of -1
[tex]x = \frac{5 \times 9}{4} = \frac{45}{4} [/tex]

Answer:
4x = 45 Chi3 is completely wrong

Step-by-step explanation:

To solve for x in the proportion StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction, you can use the cross multiplication method.

First, multiply the numerator of the left fraction (4) by the denominator of the right fraction (x). Then, multiply the denominator of the left fraction (5) by the numerator of the right fraction (9).

This gives you the equation: 4x = 5 * 9.

Simplifying the equation, you get: 4x = 45.

To isolate x, divide both sides of the equation by 4: x = 45/4.

So, the correct equation to solve for x in the given proportion is 4x = 45.

On Wednesday, Miguel's bank account balance was -$55. On Thursday, his balance was less than that. Use absolute value to describe Miguel's balance on Thursday as a debt. In this situation, -$55 represents a debt of _________. On Thursday, Miguel had a debt of _____________than $55.

Answers

In this situation, the -$55 represents the debt of $55, since this happens when Miguel does not have enough money in his account to cover payments or transactions. On Thursday, he has a debt of more than $55. The explanation behind this is if an account balance is less than -55 dollars, it exemplifies a debt bigger than 55 dollars.

if a cylinder has a V=3053.6 cubic inches and a radius of 9 inches, what is the height of the cylinder to the nearest inch?

Answers

V = pi r^2 h
r = 9
V = 3053.6
h = ?
V / (pi r^2) = h
3053.6 / (pi x 81) = h
h = 11.9998....
h = 12 inches (nearest inch)

Answer:

Step-by-step explanation:

12 inches

We wish to choose 7 cards from a usual deck of 52 playing cards. In how many ways can this be done if we are required to choose the cards in the following ways?
(a) with no restriction.
(b) all cards come from the same suit.
(c) exactly 3 Aces and exactly 3 Kings are chosen.
(d) all 7 cards have values between 2 and 7 inclusive.
(e) all 7 cards all have different values (where Jacks are different from Queens, etc.).

Answers

In a usual deck of 52 cards, there are 4 suits with 13 card for each suit.

(a) with no restriction.
If there is no restriction and different order is not important, then the possible way should be: 52!/ (52-7)!7!= 52!/45!7!= (52* 51* *50*49*48*47*46)/(7*6*5*4*3*2*1) = 674274182400/5040= 133,784,560 ways

(b) all cards come from the same suit.
If all card has to come from the same suit, that means you will only have 13 possible cards for each suit.
Then the possible ways for each suit: 13!/(13-7)!7!= (13*12*11*10*9*8*7)/ (7*6*5*4*3*2)= 8648640/5040= 1716 ways per suit.
Since there are 4 suits then the possible way= 1716 * 4= 6864

(c) exactly 3 Aces and exactly 3 Kings are chosen.
In this case, we will have 3 aces, 3 kings, and one random card. There are 4 aces/kings in one deck and we have to choose 4.
The possible ways for 3 aces or 3 kings would be: 4!/3!(4-3)!= 4 ways.
After choosing the 3 aces and 3 kings, the deck should have 52-3-3 = 46 card left. That mean there will be 46 possible ways for the random card.
The total possibilities should be: 4 * 4* 46= 736 ways

(d) all 7 cards have values between 2 and 7 inclusive
There are four cards with each value. The value between 2 and 7 inclusive should be 7-2+1= 6 different value. Since each value has 4 cards and we have 6 different value, then the total possible card is 6*4= 24
Then, we take 7 cards from those 24 cards. The possible should be: 24!/7!(24-7)!= (24*23*22*21*20*19*18) / 5040= 1744364160/5040= 346104

(e) all 7 cards all have different values (where Jacks are different from Queens, etc.).
There is 4 card with same value. For the first take, you will have 52 different ways. But for the second take, you will only have 52-4=48 different ways. That was because you can use:
1. one card that you take earlier.
2. three cards with the same value.
Then the possible ways become like this: 52*48*44*40*36*32*28/ 7!= 28,114,944

explain how you could find 3/8% of 800

Answers

3/8 of 800 is 300.. 3/8 of 800 is really 300.To check, take 3/8 and convert it to .375. Then, find what .375 of 800 is... 300!
Also, you can see that 3/8 and 800 can easily be converted to a common denominator... 800. So, just add 2 zeros to 3, and you get 300!

First turn 3/8 into a decimal, which would be .375 Next the key word of in 3/8% of 800 tells us to multiply 3/8% and 800 so since we know 3/8% = .375 in decimal form, lets multiply .375 x 800 = 300 so 3/8% of 800 is 300

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