1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present age ​

The value of x in the diagram is 110.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

DE is parallel to XY.

This means,

110 and x are corresponding angles.

Now,

The corresponding angles are equal.

So,

x = 110

Thus,

The value of x in the diagram is 110.

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Answer:

[tex]C\ n\ C^c = \{ \}[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Step-by-step explanation:

Required

Determine

[tex]C\ n\ C^c[/tex]

[tex](A\ n\ C)^c[/tex]

[tex]A\ u\ (B\ n\ C)[/tex]

Solving [tex]C\ n\ C^c[/tex]

[tex]C^c[/tex] implies that elements in U but not in C

Since

[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]C^c = \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{ \}[/tex]

Because there's no intersection between both

Solving [tex](A\ n\ C)^c[/tex]

First, we need to determine A n C

[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]A\ n\ C = \{1, 5, 9\}[/tex]

[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

Solving [tex]A\ u\ (B\ n\ C)[/tex]

First, we need to determine B n C

[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]B\ n\ C = \{2, 4, 8\}[/tex]

So:

[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Answer: 4 2/3

Step-by-step explanation:

Because I said so

Answer:

5

Step-by-step explanation:

o+5=y=5

1+5=y=6

2+5=y=7

.:y=x+5

Answer:

I'm guessing you mean 10^4 = ?

Well, that equals 10 * 10 * 10 * 10

which equals 10,000

Step-by-step explanation:

The value of a that makes the equation true is -1.55.

In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5

Divide both sides of the equation by 3: a + 1.5 - 1.5/3

a + 1.5 = -0.05

Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55

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Answer:

4/(m-4)^2

Step-by-step explanation:

=(m+2)/(m-4)^2-(m-2)/(m-4)^2

=m+2-m+2/(m-4)^2

= 4/(m-4)^2

This is the correct answer.

Answer:

126

Step-by-step explanation:

(7x6) + (7 x 12)= 126

The image of the graph is missing, so i have attached it.

Answer:

g(x) = 5/3 * f(x)

Step-by-step explanation:

We want to find the equation represents g(x) as a translation of f(x).

From the graph, the y = f(x) function curve has the following observations,

- At x = 0, y = f(0) = 30

- At x = 10, y = f(10) = 36

Similarly, from the graph, the y = g(x) function curve has the following observations,

- At x = 0, y = g(0) = 50

- At x = 10, y = g(10) = 60

From those coordinates on the graph, we can see that;

f(0) = 30 and g(0) = 50

It means that for us to make g(x) as a translation of f(x), g(0) = fraction * f(0)

Fraction = g(0)/f(0) = 50/30 = 5/3

Thus;

g(x) = 5/3 * f(x)

Let's confirm with the second coordinate;

Thus;

g(10) = 5/3 * f(10)

g(10) = 5/3 * 36

g(10) = 60

This value is same as what is on graph, thus we can conclude that;

The equation represents g(x) as a translation of f(x) is; g(x) = 5/3 * f(x)

Hi

3/4 = 1/3X

3/4 = X/3

3/4 *3 = X

9/4 = X

2.25 = X

Answer:

11 +13 + 15  = 39

Step-by-step explanation:

Let the consecutive odd integer be X , Y , Z .

X < Y < Z

Y = X + 2

Z = X + 4

Given ,

2 Y + X = 2 Z + 7

2 ( X + 2 ) + X = 2 ( X + 4 ) + 7

2 X + 4 + X = 2 X + 8 + 7

X = 15 - 4 = 11

So the integers are

11 , 13 , 15 .

Sum of integers = 39.

Answer:

1-0 = 0 ( This is not the rule of binary) As in binary addition 1-0 = 1

Answer: -4/10

Step-by-step explanation:

Since we are finding the slope, we have to do the rise over run strategy. In this case, rise (y) are the numbers  -3 and 1 and the run (x) is the numbers -6 and 4. After that, we subtract them. So, -3 - 1 and -6 - 4. We get -4 over -10 (or - 4/10) which is your slope.

Answer:

9 is correct answer

Step-by-step explanation:

[tex] {x}^{2} - 6x - 27 \\ = {x}^{2} - 9x + 3x - 27 \\ = x(x - 9) + 3(x - 9) \\ = (x + 3)(x - 9)[/tex]

x=9

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

Answer:

Step-by-step explanation:

9 + 10 = 19

answer is A

Answer:

60 × 66,666

60 × 666,666

Step-by-step explanation:

If you look at the pattern on the top numbers, you can see that there is one six that keeps on getting added. I'm not sure of my answer, but that is what I would put.

Answer:

65 or 60

Step-by-step explanation:

I am not really positive about my answers so please take this into consideration.

Answer:

keep looking its in there all you need to do is look

Answer:

16.5 gallons per minute

Step-by-step explanation:

Part A is 16.5 Gallons per minute

Answer:

i think it's b

Step-by-step explanation:

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Crash Course in Accounting and Financial Statement Analysis, Second Edition by Matan Feldman, Arkady Libman

Changes in Accounts Receivable

Recall that net income (the last line on the income statement and the first line on the cash flow statement) captures revenues and expenses based on the accrual method of accounting. As such, credit sales, in addition to cash sales, may be recorded as revenues.

The sales generated on credit are recorded on the balance sheet as accounts receivable, while cash revenues are recorded on the balance sheet as cash.

I hope I explained well.

If accounts receivable increased from one year to the next, the implication is that more people paid on credit during the year, which represents a drain on cash for the company, as some of the revenues that came in during the year increased the accounts receivable balance instead of cash.

Conversely, if accounts receivable decreased from one year to the next, the implication is that those old accounts receivable were collected (i.e., credit sales were eventually converted into cash sales), representing cash inflow for the company.

Answer:

n>-3

Step-by-step explanation:

add like terms:

3+-4= 1

Then you end up with--> 6n+1 < 17

Get the variable by itself ( add 1)

6n < 18

Then divide 6n from 18

switch signs.

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

[tex]Tickets = 434[/tex]

[tex]Students = \$4.00[/tex]

[tex]Non-Students = \$6.00[/tex]

[tex]Total = \$2032.00[/tex]

Solving (a): Number of students

Represent students with S and non students with N

So:

[tex]S + N = 434[/tex] --- (1)

[tex]4S + 6N = 2032[/tex] --- (2)

Make N the subject of formula in (1)

[tex]N = 434 - S[/tex]

Substitute 434 - S for N in (2)

[tex]4S +6(434 - S) = 2032[/tex]

Open Bracket

[tex]4S + 2604 - 6S = 2032[/tex]

Collect Like Terms

[tex]4S - 6S = 2032 - 2604[/tex]

[tex]-2S = -572[/tex]

Divide through by -2

[tex]S = 286[/tex]

Hence; 286 students attended

Solving (b):

Recall that

[tex]N = 434 - S[/tex]

[tex]N = 434 - 286[/tex]

[tex]N = 148[/tex]

148 non students attended

Answer:

$556.50

Step-by-step explanation:

25/2=$12.50

52/2=$26

66/2=$33

970/2=$485

485+33+26+12.50 = 556.50

After dividing, the total, Jenna and Harper will pay $556.5

In maths, a division is a process of splitting a specific amount into equal parts.

Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.

We will divide the total bill into two equal parts to find how much one girl should pay.

Therefore,

The total expense = 970+52+25+66 = $1113

Since, both girls are splitting the bill into halves, therefore,

$1113 / 2 = $556.5

That mean, each will have to pay $556.5

Hence, both will pay $556.5

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Answer:

[tex]\frac{-97}{25}[/tex]

Step-by-step explanation:

Step 1: Write out equation

[tex]\frac{m-t^2}{(m+p)+2t}[/tex]

Step 2: Define variables

m = 3

t = 10

p = 2

Step 3: Plug them in

[tex]\frac{3-10^2}{(3+2)+2(10)}[/tex]

Step 4: Evaluate

[tex]\frac{3-100}{5+20}[/tex]

[tex]\frac{-97}{25}[/tex]

Answer:

Step-by-step explanation:

To figure out which is larger, convert each of these mixed numbers to decimals.

-1 3/7 = -1.42857142857

-1 1/2 = -1.5

Negative numbers are larger the closer they are to 0. So, -1 is larger than -2, since -1 is closer to 0.

Since -1.5 < -1.43, -1 3/7 is larger than -1 1/2 since it is closer to 0.

Answer:

2q

Step-by-step explanation:

Product is the answer to a multiplication equation or expression. So you could put it like 2 x q but it would be easier and more understanding to do 2q...Or even 2(q).