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3 years ago

6

An item was marked down 60% from its original price. The amount of the discount was $30. Fill in the numbers that belong in the

diagram to find the original price a = b = c =

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

A= 30, B= 20, C= 50

Step-by-step explanation:

Just took test

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★write the pair of integer in which multiplication is -45 and difference is 12.

vladimir1956 [14]

Answer:

(3 and 15)

Step-by-step explanation:

If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.

If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.

5 0

2 years ago

Selected accounts with a credit amount omitted are as follows: Work in Process Apr. 1 Balance 7,000 Apr. 30 Goods finished X 30

lawyer [7]

Answer:

$29,900

Step-by-step explanation:

The computation of the balance of Work in Process as of April 30 is shown below:

= Opening balance of work in process + direct material cost + direct labor cost + factory overhead cost - goods finished

= $7,000 + $78,400 + $195,000 + $136,500 - $387,000

= $29,900

The direct material cost + direct labor cost + factory overhead cost is known as manufacturing cost

3 0

3 years ago

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest perce

Korolek [52]

REQUIRED CHART :

The required chart has been attached

Answer:

31.8%

30.0%

Step-by-step explanation:

Required :

To obtain the Difference between Sweden and United States high and medium categories to the nearest %

Sweden :

High category = $23.51

Medium category = $15.73

United States :

High category = $34.48

Medium category = $22.46

Percentage Difference :

High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%

Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%

7 0

3 years ago

Fine the circumference of the circle show, correct to 1 decimal place

CaHeK987 [17]

Answer:

C = 56.5 cm

Step-by-step explanation:

<h3>The circumference formula is C = πd. If the diameter, d, is 18 cm, then the circumference of this circle is </h3><h3></h3><h3>C = π(18 cm) ≈ 18π cm ≈ 56.5 cm</h3>

6 0

2 years ago