Not prime number in 12n- 5

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

90 x 90= 8100 possibilities of randomly selecting and combining 2 entire two-digit numbers, if we find ax b to be distinct from bx a. When 10 is first chosen, there may be 9 two-digit numbers that could be combined within the required range for a product When 11 is chosen first, then the second two-digit number has 9 possibilities. 12 has seven options; 13 has six options; 14 has five options; 15 has four options; 16 has three options; 17 has two options; 18 has 2 options; and 19 has one option. It provides us 48 total choices so the likelihood that the combination of two randomly chosen two-digit whole numbers is one of theses these possibilities is thus 48/8100 = 4/675.

8 0

3 years ago