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Ratling [72]
3 years ago
15

A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym members

hip for 6 months.​
Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

So we know that a gym membership costs $25 plus $14 each month.

In other words, the one-time cost is $25 and there will be a cost of $14 each month.

We can write this as:

f(x)=14x+25

Where f(x) equals the total cost given the number of months x.

For 6 months, the total cost will be:

f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109

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The sales tax in your city is 4.4%, and an item costs $3 before tax.
defon

Answer:

0.132

Step-by-step explanation:

4.4%*3=0.132

6 0
3 years ago
From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is
Nataliya [291]
<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

volume \: of \: the \: cylinder \:  =  \pi {r}^{2} h

=  > \pi \times  {5}^{2} \times  12 {cm}^{3}   = 300\pi {cm}^{3}

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

slant \: height \: of \: the \: cone \:  =  \sqrt{ {h}^{2}  + \:  {r}^{2} }

=  >  \sqrt{ {5}^{2}+{12}^{2} } cm \:  = 13cm

Volume of the cone = 1/3 *πr^2h

=  >  \frac{1}{3} \pi \times  {5}^{2}   \times 12 {cm}^{3}  = 100\pi {cm}^{3}

therefore, the volume of the remaining solid

= 300\pi {cm}^{3}  - 100\pi {cm}^{3}  \\  = 200 \times 3.14 {cm}^{3}  = 628 {cm}^{3}

Curved surface of the cylinder =

2\pi \: rh \:  = 2\pi \times 5 \times 12 {cm}^{2}  \\  = 120\pi {cm}^{2} .

curved \: surface \: of \: the \: cone \:  = \pi \: rl \\  = \pi \times 5 \times 13 {cm}^{2}  \\  = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\  of \: cylinder \:  =  \\ =  \pi \:  {r}^{2}  = \pi \times  {5}^{2}

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

= 120\pi {cm}^{2}  + 65\pi {cm }^{2}  + 25 \pi {cm}^{2}  \\  = 210 \times 3.14 {cm}^{2}  = 659.4 {cm}^{2}

<h3>Hope it helps you!!</h3>

6 0
2 years ago
In a group of 60 numbers, average of
Arada [10]

Answer:

c. 18

Step-by-step explanation:

First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.

35*18=630

15*10=150

Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left

10*30=300

630+150+300=1080

1080/60=18

Hence, the answer is C(18)

4 0
3 years ago
5.1% &lt; 0.51 please help been working on this all day I really need help
WITCHER [35]
You can write any decimal as a precent by moving the decimal 2 places to the right so 
0.51 = 51%
5.1% < 51%
5.1% < 0.51

or, any precent can be written as a decimal by moving the decimal points two point to the left so
5.1% = 0.051
0.051 < 0.51
5.1% < 0.51

7 0
3 years ago
3 times what divided by 4 equals 24
MissTica
3*x/4=24
3*x= 24*4
3x=96
3x/3=96/3
x=32
6 0
3 years ago
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