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ryzh [129]
2 years ago
8

List the measurements of three different rectangular prisms that each have a surface area of 20 square units.

Mathematics
1 answer:
Kitty [74]2 years ago
6 0

So we can use the formula 2lw +2wh+ 2lh, which is the surface area formula and we can set that to equal 20. 2lw +2wh+ 2lh=20

lw+wh+lh= 10

Let’s isolate L

Lw+Lh=10-wh

Let’s distribute L

L(w+h)=10-wh

L=(10-wh)/(w+h)

You can use this formula to plug in values for w and h and it will work as long as their products are less than 10

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Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
At a​ little-known vacation​ spot, taxi fares are a bargain. A 14​-mile taxi ride takes 16 minutes and costs ​$11.20. You want t
ss7ja [257]

Answer:

fvvr

Step-by-step explanation:

vfew

3 0
3 years ago
Flying to Kimpala with a tail wind a plane averaged 158km/hr. On the return trip the plane only average 112km/hr. While flying b
lora16 [44]

The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

<u>Step-by-step explanation:</u>

Let the speed of wind and speed of plane in still air  are  w  and  p km/h respectively.  

The effective speed on onward journey was  

p+w=158  ................(1)

The effective speed on return journey was  

p-w=112 ..............(2)

Adding equation (1) and equation (2) we get,  

⇒ (p+w)+(p-w) = 158+112

⇒ 2p = 270

⇒ p = 135

Putting value of p = 135 in p+w=158 we get:

⇒ p+w=158

⇒ 135+w=158

⇒ w=23

Therefore ,The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.

3 0
3 years ago
Solve (3x-4)-(5x-3) and simplify the answer!
AnnyKZ [126]

Answer:

-2x-1

Step-by-step explanation:

(3x-4)-(5x-3)

Distribute the minus sign

3x-4-5x+3

Combine like terms

3x-5x  -4+3

-2x-1

7 0
3 years ago
This probability distribution shows
Charra [1.4K]

Answer:

The probability that a student earns a grade of A is 1/7.

Let E be an event and S be the sample space. The probability of E, denoted by P(E) could be computed as:

P(E) = n(E) / n(S)

As the total number of students = n(S) = 35

Students getting the grade A = n(E) = 5

So, the probability that a student earns a grade of A:

                     P(E) = n(E) / n(S)

                             = 5/35

                             = 1/7

Hence, the probability that a student earns a grade of A is 1/7.

Keywords: probability, sample space, event

7 0
2 years ago
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