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svp [43]
3 years ago
6

A family pays $45 each month for cable television. The cost increases 7%.

Mathematics
2 answers:
Studentka2010 [4]3 years ago
6 0
The initial cost is $45. To determine the increase, you need to follow two steps.

First you have to find what 7% of the original $45 is. This will tell us how much the cost will increase by.
To find 7% of $45, you need to multiply .07 x 45 = 3.15
This tells us that 7% of $45 = $3.15

Next, you have to add the increase to the original cost. This will be the new monthly cost.
$45 + $3.15 = $48.15
oksian1 [2.3K]3 years ago
5 0
It increases $3.15 and the new monthly cost is $48.15
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2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
3 years ago
Which expression is equivalent to 2(x+7)-18+4/5 ?
Vadim26 [7]

Answer:

4.7/5

Step-by-step explanation:

7 0
2 years ago
Please help me with this problem! <br> y =<br><br> 37<br> 39<br> 51
nika2105 [10]

y = arctan(8/10)

y = 38.65

y = 39

8 0
3 years ago
Read 2 more answers
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50m =9.50,
Lemur [1.5K]
3.00 + 0.50m = 9.50

2. true 
5. true


4 0
3 years ago
Read 2 more answers
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Maurinko [17]

Answer:

\frac{7\pi}{4}.

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = 56\pi\text{ cm}^2

Formula for area of sector is

A=\dfrac{1}{2}\theta r^2

where, r is radius and \theta is central angle in radian.

Substitute A=56\pi and r=8 in the above formula.

56\pi=\dfrac{1}{2}\theta (8)^2

56\pi=\dfrac{64}{2}\theta

56\pi=32\theta

\dfrac{56\pi}{32}=\theta

\dfrac{7\pi}{4}=\theta

Therefore, the measure of the sector in radians is \frac{7\pi}{4}.

6 0
3 years ago
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