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11111nata11111 [884]
3 years ago
13

A local cable TV/Internet/phone provider charges new customers $129 for all three services, per month, for the first year under

their "3 for 129" promotion. Joanne normally
pays $74 for her monthly home phone service, $59 for Internet service, and $69 for cable television
a. What are her percent savings if she switches to the "3 for 1299 plan? Round to the nearest percent.
b. If, after the first year, the flat fee for all three services is $139, what are her percent savings? Round to the nearest percent.
Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Amount paid by Joanne before promotion = 74 + 59 + 69 = $ 202

a) Amount saved if she switches to "3 for 129 plan" = 202 - 129 = $ 73

Percentage of saving = \frac{73}{202}*100 = 36.13 = 36%

b) Amount saved after the first year = 202 - 139 = $ 63

Percentage of saving = \frac{63}{202}*100 = 31.18 = 31%

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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
dolphi86 [110]

Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

8 0
2 years ago
Read 2 more answers
HALP <br>find the x and y to the following 2x-3y=5 and x+2y=-1​
dusya [7]

Answer:

x=1, y=-1. (1, -1)

Step-by-step explanation:

2x-3y=5

x+2y=-1

---------------

2x-3y=5

-2(x+2y)=-2(-1)

-----------------------

2x-3y=5

-2x-4y=2

-------------

-7y=7

y=7/-7

y=-1

x+2(-1)=-1

x-2=-1

x=-1+2

x=1

7 0
3 years ago
?????????????????help???
Otrada [13]
They are not equivalent fractions.
3 0
3 years ago
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Calculate the area and volume of the ball of radius: a) r = 4 cm; b) √3 cm
Contact [7]

Answer:

a)

The area of the sphere with radius 4cm is 200.96cm²

The volume of the sphere with radius 4cm is 267.75 cm³

b)

The area of the sphere with radius √3 cm is 37.68cm²

The volume of the sphere with radius √3 cm is 21.756 cm³

Step-by-step explanation:

a)

To calculate the area of a sphere we have to use the following formula:

A = area

r = radius  = 4cm

π = 3.14

A = 4πr²

we replace with the known values

A = 4 * 3.14 * (4cm)²

A = 12.56 * 16cm²

A = 200.96cm²

The area of the sphere with radius 4cm is 200.96cm²

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 4cm

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (4cm)³

V = 4.187 * 64 cm³

V = 267.75 cm³

The volume of the sphere with radius 4cm is 267.75 cm³

b)

To calculate the area of a sphere we have to use the following formula:

A = area

r = radius  = √3 cm

π = 3.14

A = 4πr²

we replace with the known values

A = 4 * 3.14 * (√3 cm )²

A = 12.56 * 3cm²

A = 37.68cm²

The area of the sphere with radius √3 cm is 37.68cm²

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = √3 cm

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (√3 cm)³

V = 4.187 * 3√3 cm³

V = 21.756 cm³

The volume of the sphere with radius √3 cm is 21.756 cm³

5 0
3 years ago
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?​
ioda

To do this, we first want to see how many participants there are in total by adding both males and females.

99+121=220

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

\frac{121}{220} =0.55

or 55%

8 0
3 years ago
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