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liubo4ka [24]
2 years ago
14

Harry earns $45 a week more than Xena. George earns $18 a week less than Xena. If Harry earns the same amount in two weeks that

George earns in three weeks, how much money does Xena earn a week?
Mathematics
1 answer:
12345 [234]2 years ago
5 0

Answer:

Xena earns $144 per a week.

Step-by-step explanation:

Harry earns - $ h

Xena earns - $ x

George earns -$ g

Harry earns $45 a week more than Xena.      h= x+45

George earns $18 a week less than Xena.     g = x - 18

If Harry earns the same amount in two weeks that George earns in three weeks

2h = 3g

So, we have the system of 3 equations:

h= x+45

g = x - 18

2h = 3g    (*)

Substitute values of h and g into equation (*)

2(x+45) = 3(x-18)

2x + 90 = 3x - 54

90+54 = 3x- 2x

x= 144  

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Ede4ka [16]

Answer:

555.94

Step-by-step explanation:

16 x 11 = 176/2

88

since there are two of the same triangle

88 x 2

176

11 is the radius

A = \pix^{2}

A = 3.14 ( pie is 3.14, if not then pi) x (11x11)

A = 3.14 x 121 (or 121\pi)

A = 379.94

379.94 + 176 (or 121pi + 176)

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4 0
2 years ago
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
What is the value of n in the proportion below n/28 = 4/7​
butalik [34]

n is 16

\frac{n}{28}  =  \frac{4}{7}  \\  n = \frac{4 \times 28}{7}  = 16

good luck

3 0
3 years ago
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Amiraneli [1.4K]
66 for the first and 36 for the other one
7 0
2 years ago
What is the answer to this
____ [38]

Answer:

19

Step-by-step explanation:

Add up all the numbers:

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Then you get 19.

Or you can say it as

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7 0
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