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yan [13]
3 years ago
6

What is 38 1/2 and 1 1/4 as a unit rate?

Mathematics
1 answer:
Leviafan [203]3 years ago
7 0
38.5 / 1.25 = 30.8 or 77/2 divide by 5/4 = 154/5 = 30.8
so, the unit rate is 30.8
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Given h(x) = x^2-4/2, find h(-8)
vlada-n [284]

Answer:

62

Step-by-step explanation:

(-8)^2-2

64-2 = 62

7 0
3 years ago
The formula for the surface area of a cylinder is s
lyudmila [28]

Answer:

It is 2πrh + 2πr^{2}

Step-by-step explanation:

8 0
3 years ago
How do I show my work for 828÷2
Margarita [4]

Answer:

414

Step-by-step explanation:

So the first thing you do is to see if 8 can go to two yes right so it's 4 and then you have two left but going to be 1 and then you have to put the 1 on the top and then you have 8 left and that's 4 and that's it

7 0
3 years ago
Five times the result of adding one to a certain number, is equal to four times the number, plus three. Find the number
Galina-37 [17]

Answer:

The number is -2

Step-by-step explanation:

Let the number = x

Given that:

Five times the result of adding one to a certain number, is equal to four times the number, plus three.

The equation will be:

5(x+1) = 4x +3

Simplifying

5x + 5 = 4x +3

Taking terms with x on left side and others on right side

5x - 4x = 3 - 5   (sign of transferred terms will be changed)

x = -2

Proof :

Condition 1:

  • number = -2                                  
  • Add one = -2 +1 = -1
  • Multiply 5 = -5

Condition 2:

  • 4 times  of number = 4 (-2) = -8
  • Add 3 = -8 +3 = -5

Hence both conditions have same answer.

I hope it will help you!

5 0
3 years ago
A box contains 15 resistors. Ten of them are labeled 50 Ω and the other five are labeled 100 Ω.
Mnenie [13.5K]

Answer:

a) 0.3333

b) 0.2381

c) 0.0952

d) 0.4286

e) 0.4523

f) 0.2637

Step-by-step explanation:

The concept applied here is dependent probability or probability without REPLACEMENT

  • Given 15 resistors = Total
  • 50 Ω  = 10 resistors
  • 100 Ω = 5 resistors

a) What is the probability that the first resistor is 100Ω?

P(first resistor 100Ω) = number of 100Ω / Total number of resistors

= 5/15 = 0.3333

b) P( second resistor 100 Ω, the first resistor 50 Ω?

= Since second resistor of 50Ω was drawn first, the total number of resistors would have reduced, but the 100Ω resistor still maintains its number

= 10/15 x 5/14 = 0.2381

c) P( second resistor is 100 Ω, the first resistor is 100 Ω)

In this case, since first resistor is drawn, the number of 100 Ω would have reduced so also the total number of resistors

= 5/15 x 4/14 = 0.0952

d) P( that the first two resistors are both 50Ω) = Implies picking 2- 50Ω

= 10/15 x 9/14 = 0.4286

e) P(total of two resistors are selected from the box) = P( first 100Ω and second- 50Ω) or P( First 50Ω and second 100Ω) = 10/15 x 5/14 + 5/15 x 9/14 = 0.4523

f) P( more than three resistors are selected from the box) = 1 - P( Less than or equals to three resistors) - it implies that the consideration is for the 100Ω

= P( 1resistor) - P( 2- Resistor) - P( 3- Resistor)

1 - 5/15 - (10/15 + 5/14) - (10/15 + 9/14 + 5/13)

= 0.2637

3 0
3 years ago
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