What is the quotient of 2 3/4 and 5 1/2?
( i am a parent and trying to help my I.E.P 6th grade son, for work since school is shutdown for virus...cant remember alot of the stuff) please help!!

Answers

Answer 1

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  invert and multiply (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  use a common denominator (for the two fractions)

  = (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

Additional comments

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.


Related Questions

The value of a car with an initial purchase price of $18,250 depreciates by

11% per year.

Answers

Step-by-step explanation:

This problem on depreciation of price.

Given data

initial price = $18,250

rate of depreciation = 11%

to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have

depreciation=

[tex]\frac{11}{100} *18250\\0.11*18250= 2007.5[/tex]

Hence the depreciation= $2007.50

the new amount is [tex]= initial amount - depreciation[/tex]

[tex]=18250-2007.50\\= 16242.50[/tex]

the new amount is $16242.50

Write the expanded form of h(3k-12.4)

Answers

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your

answer to the nearest foot.

Answers

Answer:

19 feet

Step-by-step explanation:

First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:

3 inches * 1 foot / 12 inches = 0.25 feet

Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:

7 inches * 1 foot / 12 inches = 0.583333

Now, we calculate the number of actual feet using the scale.

0.583333 * 8 / 0.25 = 18.66 feet

that is to say that the length of the current Kitchen is 19 feet if we round

How many even numbers are in a 428 paged book?

Answers

Answer:214

Step-by-step explanation:

428 divided by 2. Half of the pages are even, half of 428 is 214

Answer:

214

Step-by-step explanation:

just divide the number of pages with 2

what sock price should the company set to earn a maximum profit

Answers

Answer:

10000000000000

Step-by-step explanation:

I do not know how to explain

A wedge of cheese in the shape of a triangular prism is shown below.
​Find the surface area of the cheese.

_______Square feet

Answers

Answer:

[tex]144 $ Square feet[/tex]

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]

Answer: 144

Step-by-step explanation:32+24+4-+48=144

henry is making potato salad. he used the amount of mayo shown in the measuring cup. Use the figures to answer 4-6

Answers

Answer:

Idk but i'm pretty sure u found the answer by now...


please answer this correctly I have to finish this today as soon as possible

Estimate the measure of this angle within 10°.

Answers

Answer:

It seems like it is 110 degrees.

Step-by-step explanation:

40/50 to a simpel fraction

Answers

Answer:

4/5

Step-by-step explanation:

just divide by 10 since that's the largest number that both numbers can equally be divisible by

Answer:

4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that

Step-by-step explanation:

There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?

Answers

Answer:

The area 2730 possible arrangements of first, second, and third place.

Step-by-step explanation:

The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 from a set of 15. So

[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]

The area 2730 possible arrangements of first, second, and third place.

very easy question please answer asap giving brainliest

Answers

Answer:

D understand the problem.

Step-by-step explanation:

Answer:

gathering of resources is the main first thing .....

George drew a line on a coordinate system by starting at (0,-5), then moved 2 units to the right and 1 unit up to locate each new point. Which is the equation of the line George Drew?

Answers

Answer:

y = 1/2x - 5

Step-by-step explanation:

I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5

A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc

Answers

Answer:3.3

Step-by-step explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28=(6.28 x r) /6.28

1.3=r

r=1.3

Length of arc =Φ/360 x 2 x π x r

Length of arc =288/360 x 3.14 x 1.3

Length of arc =0.8 x 3.14 x 1.3

Length of arc =3.3

Answer:32/5

Step-by-step explanation: did it in khan

A dietician believes that people who eat a high-fiber cereal as part of their breakfast will consume, on average, fewer calories at lunch than people who do not eat a high-fiber cereal as part of their breakfast. To test this claim, he measured the lunchtime calorie intake of 49 adults who did eat a high-fiber cereal for breakfast on a given day (group 1). For those individuals, the average number of calories consumed at lunch was 609.86, with a standard deviation of 55.96 calories. He also measured the lunchtime calorie intake of 78 adults who did not eat a high-fiber cereal for breakfast on a given day (group 2). For those individuals, the average number of calories consumed at lunch was 641.02, with a standard deviation of 109.14 calories. The dietician wishes to test this claim at the 5% significance level.

If Welch's two-sample test for equality of means is used, then what is the value of the test statistic tobs, rounded to two decimal places?

Answers

Answer:

The calculated value Z = 1.8368 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

The samples have been drawn from the same Population

Step-by-step explanation:

Step(i):-

Given first sample size 'n₁' = 49

Mean of the first sample 'x₁⁻ = 609.86

Standard deviation of the sample S₁ = 55.96 calories

Given first sample size 'n₂' = 78

Mean of the first sample 'x₂⁻ = 641.02

Standard deviation of the sample S₂ = 109.14 calories

Step(ii):-

Null hypothesis : H₀: x₁⁻ = x₂⁻

Alternative Hypothesis : H₁: x₁⁻ ≠ x₂⁻

Level of significance ∝ = 0.05

Test statistic

[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]

where

 [tex]S.D^{2} = \frac{n_{1} S^2_{1}+ n_{2} S^2_{2} }{n_{1} + n_{2} -2}[/tex]

 [tex]= \frac{49 X (55.96)^2+ 78X(109.14)^2 }{49 + 78 }[/tex]

 σ² =  8660.357

Step(iii):-

Test statistic

[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]

[tex]= \frac{ 609.86-641.02 }{\sqrt{8660.357(\frac{1}{49 } }+\frac{1}{78 } ) }[/tex]

[tex]Z = \frac{-31.16}{16.9638} = -1.8368[/tex]

|Z| = |-1.8368| = 1.8368

The tabulated value Z₀.₉₅ = 1.96

The calculated value = 1.8368 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

Final answer:-

The samples have been drawn from the same Population

     

Riley is solving a problem to find the number of tents comma sleeping bags comma and backpacks that she should order. She wrote a system of equations and solved the system. She found that her general solution was (x comma y comma z )equals (15 minus 3 z comma 20 plus 2 z comma z )How many solutions are there to her​ problem?

Answers

Answer:

  6

Step-by-step explanation:

If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.

In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...

  (x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}

There are 6 solutions to her problem.

Simplify.
2567 · 162

Answers

Answer:

151 * 17 * 3^4 * 2

Step-by-step explanation:

2567 | 17

151 | 151

1

162 | 2

81 | 3

27 | 3

9 | 3

3 | 3

1

Answer:

415854.

Step-by-step explanation:

A multiplication.

Using a calculator it is:

415854,

I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hundred thirty dollars. How much money do I have presently?

Answers

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

Answer:$118.22

Step-by-step explanation:

the tennis shoes costs 8 dollar less than 130 dollars

Tennis shoes cost=130-8=122

Tennis shoes cost $122

I need $3.78

My money presently=122-3.78

My money presently=$118.22

When plotting points on the coordinate plane below, which point would lie on the y-axis?
(0, 1)
(7, 0)
(6, 8)
(8, 2)

Answers

1, 0 , 8, and 2 would all lie on the y-axis

Answer:

(0,1)

Step-by-step explanation:

i got it right

4m 5m what is the value of x

Answers

Answer:

5m x 5m, 6m x 4m and 7m x 4m

Step-by-step explanation:

in interval of 0.02 and for the same value of m.

Is p = –11 a solution to the inequality below?

p
> –5

Answers

Answer:

not a solution

Step-by-step explanation:

p > -5

Let p = -11

-11 > -5

This is a false statement

It is not a solution

Express this number in scientific notation 0.0008235

Answers

8.235*10^-4

= 0.0008235

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

The answer would be d and e (-3 and -5) two solutions because it is a quadratic with two real roots and the working out is shown in the photo.

I’ve been stuck on this for days plz help:,(

Answers

Answer:

a = 27

b = 81

Step-by-step explanation:

3^{3} = 27

3^{4} = 81

Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6

Answers

3x - 8 < 23
3x < 31
x = 31/3
-4x + 26 > 6
-4x > -20
x < 5

A Niffler is a magical creature who loves to collect shiny objects and store them in their pouch, much like a kangaroo. The amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds. Newt Scamander, while studying magical creatures in Britain, found a new colony of Nifflers. He discovered a Niffler who had 32 pounds in their pouch. What is the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch?

Answers

Answer:

Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Step-by-step explanation:

We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.

Let X = amount a Niffler can hold in their pouch

So, X ~ Normal([tex]\mu=25,\sigma^{2} =6.8^{2}[/tex])

The z score probability distribution for normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 25 pounds

            [tex]\sigma[/tex] = standard deviation = 6.8 pounds

Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)

  P(X > 32 pounds) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{32-25}{6.8}[/tex] ) = P(Z > 1.03) = 1 - P(Z [tex]\leq[/tex] 1.03)

                                                             = 1 - 0.8485 = 0.1515

The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.

Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

y = -16x2 + 242x + 78

Answers

Answer:

y=210x+78

Step-by-step explanation:

y=-16x*2+242x+78

y=-32x+242x+78

y=210x+78

Will mark brainlist and give extra points bth grade math

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times the smaller angle. Find the measures of the angles

Answers

Answer:

Measure of first angle: 42 degrees,

Measure of second angle: 138 degrees

Step-by-step explanation:

Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle

1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x

2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180

3. In this situation it is convenient to apply substitution as to solve for x, y:

1. x + ( 12 + 3x ) = 180

2. x + 12 + 3x = 180

3. 4x + 12 + 180

4. 4x = 168

5. x = 42 degrees

4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:

1. y = 12 + 3 ( 42 )

2. y = 12 + 126

3. y = 138 degrees

Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.

the two angles are 84° and 96°.

We should start by defining what supplementary angles are.

Two angles a and b are supplementary if:

a + b = 180°.

Now, we also know that one of the angles is 12° larger than the other, so we can write:

a = b + 12°

Now that we have that equation, we can replace it in the first one, so we get:

a + b = 180°

(b + 12°) + b = 180°

Now we can solve this for b.

2*b + 12° = 180°

2*b = 180° - 12°  = 168°

b = 168°/2 = 84°

To find the value of a, we can use the equation:

a = b + 12°

a = 84° + 12° = 96°.

Then the two angles are:

84° and 96°.

If you want to learn more, you can read:

https://brainly.com/question/18164299

Which expression shows a way to find 25% of 1000?

Answers

Answer:

25% of 1000 is 250

Step-by-step explanation:

(25 ÷ 100) × 1000

Divide the numbers

0.25 × 1000

0.25 × 1000

Multiply the numbers

250

250

Answer:250

Step-by-step explanation:

25% of 1000

25/100 x 1000

(25x1000)/100

25000/100=250

ivana has 5.50 luc has 1.4 times as much as ivana, how many indian rupees would ivana get if the value of rupees are 61.92 per dollar rate

Answers

i think it would be 24.67 dollars because thats what i calculated but i dont know
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