-2/9 (-5/3) I Ready Multiply and Divide Rationals.

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

For each unit of plastics produced , the result would be an external d . cost of $9 .

At the equilibrium point on the graph, we see that the price is $ 21 . This is the equilibrium price .

We also see that the equilibrium social cost is $ 30 .

The external benefit or cost would be:

= Equilibrium price - social cost

= 21 - 30

= - $ 9

This is a negative benefit and so it is an external cost of $ 9.

In conclusion, each unit of plastics leads to an external cost of $9.

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Answer:

She owes her brother $7.

Step-by-step explanation:

Subtract $18 made from dogsitting from the total (which is $25).

addition expression : $18 + x =$25

                      check :  $25 - $18 = $7

$7 is what she needs to finish paying back.  

the formula of midpoint is

so, replace the points

the mid point is (4,5)

Answer:

A. the number of tornadoes decreased by 11

Step-by-step explanation:

point A rests on 13, point B rests on 2. therefore 13-2 = 11

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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The unadjusted trial balance of The Lexington Group as of May 31, 20Y6, contains errors resulting in an unequal debit and credit balance of $27,875.

The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. It is used as a starting point to prepare the financial statements. In this case, the unadjusted trial balance of The Lexington Group shows a debit total of $608,125 and a credit total of $636,000, resulting in a difference of $27,875.

The errors mentioned in the question are the reasons for the imbalance. Let's go through each error:

1. The cash entered on the trial balance was overstated by $7,000. This means that the cash balance is higher than it should be by $7,000, resulting in an inflated debit balance.

2. A cash receipt of $8,200 was posted as a debit to cash of $2,800. This error resulted in an understatement of the cash balance by $5,400.

3. A debit of $16,500 to accounts receivable was not posted. As a result, the accounts receivable balance is understated by $16,500.

4. A return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. This error caused an overstatement of the supplies balance by $1,125.

5. An insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. This mistake resulted in an understatement of the prepaid insurance balance by $3,600.

6. The balance of notes payable was understated by $9,000. This means that the liability for notes payable is lower by $9,000 than it should be.

7. A credit of $10,000 in accounts payable was overlooked when determining the balance of the account. This error led to an understatement of the accounts payable balance by $10,000.

8. A debit of $5,000 for dividends was posted as a credit to retained earnings. This mistake caused an understatement of the dividends and an overstatement of the retained earnings by $5,000.

9. The balance of $60,300 in rent expense was entered as $63,000 in the trial balance. This error resulted in an overstatement of the rent expense by $2,700.

10. Gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial balance. This omission caused an understatement of the total expenses by $16,350.

When we analyze the errors, we find that some accounts have been overstated, some have been understated, and some transactions have been completely omitted. These errors have led to an imbalance between the debit and credit sides of the trial balance.

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Answer:

0.325 hits per bat

Step-by-step explanation:

13/40=0.325

When dealing with multiplications and divisions only, start calculating from left to right.

Multiply 12 times (0.25):

Multiply 3 times -8:

Notice that in the problem's procedure, the "-" sign was not included in the calculation.

Divide -24 by 1:

Divide -24 by 3:

Multiply -8 by 5:

The final answer is -40.

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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The number line for the set of jump distances to make a new record.

Option B is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The school record in the long jump = 518 cm

Now,

To make a new record the set of jump distances should be greater than 518 cm.

To represent the set of jump distances on a number line we can not have a black dot on 513 on the number line.

The dot should be an open dot.

Thus,

Option B is the number line for the set of jump distances to make a new record.

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Answer:

y = (-6/13)x + (4/13).,

Step-by-step explanation:

the equation of the line is:

y = mx + b, where "m" is the slope and "b" gives the y-intercept

m = (y2 - y1)/(x2 - x1)

m = (-2 - 4)/(5 - (-8))

m = -6/13

y = (-6/13)x + b

the line passes through the point (-8,4) means that for x = -8, y = 4

4 = (-6/13)(-8) + b

b = 4 - (-6/13)(-8)

b = 4/13

the equation of the line that passes through the points (-8,4) and (5,-2) is:

y = (-6/13)x + (4/13).

Answer:

198

Step-by-step explanation:

2(9)(11)

Since you know that r = 9 and t = 11, you can substitute the variables to numbers. Then you just multiply to get 198. Hope this helps :)

Answer:

198

Step-by-step explanation:

Since r=9, replace r with 9 then since t=11 replace t with 11. And multiply all of them together.

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:53 dresses

Step-by-step explanation:

First of all..if one kid required 2 1/4m of cloth,what about 119 1/4m of cloth?

So u take 119 1/4m of cloth and divide it by 2 1/4m of cloth.

Then change the mixed numbers into improper fractions.

So the question will be 477/4 m divided by 9/4 m.

The second improper fraction (9/4)m will be reciprocated to be (4/9)m.

Afterwards,take 477/4 m and multiply it by 4/9 m.

The result will be 53 dresses.

The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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The corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

Since X and Y are independent, the joint probability distribution is simply the product of their marginal probability distributions:

f(x,y) = f(x) × f(y)

Therefore, we have:

f(0,0) = f(0) ×f(0) = (1/3) × (1/4) = 1/12

f(0,1) = f(0) × f(1) = (1/3) × (3/4) = 1/4

f(1,0) = f(1) × f(0) = (2/3) × (1/4) = 1/6

f(1,1) = f(1) ×f(1) = (2/3) × (3/4) = 1/2

Therefore, the corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

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Answer:

y  =  -    1/6 x     +      -1

Step-by-step explanation:

Answer:

\(11\)

Step-by-step explanation:

\(5 \times x - 4\)

\(5 \times 3 - 4\)

\(15 - 4\)

\(11\)

Based on the number of cups of flour and the number of teaspoons of cooking oil, if 1 cup of flour is used, the number of teaspoons of cooking oil needed is 2 / 5 teaspoons of cooking oil

When 5 cups of flour are used, then 2 teaspoons of cooking oil are needed by the recipe.

If there is only 1 cup of flour being used therefore, the number of teaspoons of cooking oil needed will be:

= Number of teaspoons needed for 5 cups / Number of cups of flour needed
= 2 / 5 teaspoons of cooking oil

First part of question is:
A recipe calls for 5 cups of four and 2 teaspoons of cooking oil.

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Answer:

$116

Step-by-step explanation:

please refer to the above

Answer:

\(g^{-1} (7)=5\)

Step-by-step explanation:

We are asked to find \(g^{-1} (7)\).

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair \((a,b)\) of function \(g\), then the corresponding ordered pair of \(g^{-1}\) would be \((b,a)\).

As we are asked to find \((7,b)\) of  \(g^{-1}\), we can instead find \((b,7)\) of \(g\).

This means that we are looking for where \(g(b)=7\).

From the graph, we can see that for this to be true, \(b=5\)

This means that \(g^{-1} (7)=5\)

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Answer:

Price in shop B is cheaper by 12 p per kg

Step-by-step explanation:

Shop A

Shop B

Price in shop B is cheaper by 12 p per kg

Answer:

....

Step-by-step explanation:

Answer:

470% is equivalent to the decimal 4.7, which can be rounded to 5

So, 470% of 40 is approximately equal to 5 times 40

which is equal to 200

So, a good estimate for 470​% of 40 is 200.

Answer

Step-by-step explanation:

the answer is 18.0

you gotta replace the values in the regression equation