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kobusy [5.1K]
3 years ago
13

Not prime number in 12n- 5

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

55

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

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7(y+3)=5y+8<br> Is this <br> A.Solution<br> B.No Solution<br> C. Infinite Solution
faust18 [17]

First, let's use the Distributive Property to make our equation easier to solve. Remember that the Distributive Property says the following:

a(b + c) = ab + ac


Using this, we can multiply the 7 out to the y and 3. This gives us:

7y + 21 = 5y + 8


Now, let's solve for y:

2y + 21 = 8

2y = -13

y = - \dfrac{13}{2}


We can see that there is one solution for this equation because y is equal to one definite value after solving. Thus, our answer is A, one solution.  

3 0
3 years ago
The wheels on a car have a diameter of 28 inches. How many full revolutions will the wheels need to make to travel 200 feet?
rodikova [14]
Here we're interested in the circumference:  C = pi*d.  In this case C = 3.14*(28 inches) = 88 inches. 

Now divide this 88 inches into 200 feet to get the # of revolutions ncessary to travel 200 feet.

200 feet     12 in
------------ * --------- = 2400 inches
       1           1 ft

2400 inches
----------------------- = 27.2 revolutions   (answer)
[ 88 inches/ rev ]
4 0
3 years ago
9
lys-0071 [83]

Answer:

The number of quarters Josie has in her collection of 92 coins 28 quarters

Step-by-step explanation:

The given information are

The total number of coins Josie has = 92

Let the number of quarters she has = x

Therefore, 92 = 8 + 3×x

8 + 3×x = 92

3×x = 92 - 8 = 84

3×x = 84

x = 84/3 = 28

x = 28

The number of quarters Josie has in her collection of 92 coins = 28 quarters.

4 0
3 years ago
Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa
Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0
3 years ago
What is the probability that if you multiply two randomly-selected two-digit whole numbers, the result is greater than 100 and l
ohaa [14]

Answer:

4/675

Step-by-step explanation:

There can be 90  two-digit numbers ranging from 10 to 99. There will be

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8 0
3 years ago
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