X=-3+y just do it like that and substitute them in and x and y ending with is your answer
Answer:
12 teeth
Step-by-step explanation:
<em>The attachment of this question is missing; however, the question can be solved without the attachment</em>
Given:
Larger Gear = 6
Smaller Gear = 1
Required
Number of Smaller Gear if there are 72 larger gears
When the number of larger gear is 6, smaller gears is 1;
<em>This can be represented using the following ratio;</em>

Let x represent the number of smaller gear, when there are 72 larger gears;
<em>This can also be represented using the following ratio;</em>

Equate both ratios

Convert the ratios to fraction

Multiply both sides by x


Divide both sides by 6.



<em>This implies that there are 12 teeth on the smaller gear</em>
50 + (15 × 15), 50 + 15 × 50 + 15, (10 × 5) + 225, 10 × 225 + 5 × 225
Solution:
Given expression is 50 + 225.
To find the equivalent expressions for 50 + 225.
(1) 225 can be written as 15 × 15.
⇒ 50 + 225 = 50 + (15 × 15)
(2) Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ 50 + (15 × 15) = 50 + 15 × 50 + 15
(3) Now, 50 can be written as 10 × 5.
⇒ 50 + 225 = (10 × 5) + 225
(4 Using distributive law, we find the another equivalent expression
a + (b × c) = a + b × b + c
⇒ (10 × 5) + 225 = 10 × 225 + 5 × 225
Hence the equivalent expressions for 50 + 225 are:
50 + (15 × 15)
50 + 15 × 50 + 15
(10 × 5) + 225
10 × 225 + 5 × 225
In this problem, we can imagine that all the points
connect to form a triangle. The three point or vertices are located on the
pitcher mount, the home plate and where the outfielder catches the ball. So in
this case we are given two sides of the triangle and the angle in between the
two sides.
<span>With the following conditions, we can use the cosine law
to solve for the unknown 3rd side. The formula is:</span>
c^2 = a^2 + b^2 – 2 a b cos θ
Where,
a = 60.5 ft
b = 195 ft
θ = 32°
Substituting the given values:
c^2 = (60.5)^2 + (195)^2 – 2 (60.5) (195) cos 32
c^2 = 3660.25 + 38025 – 20009.7
c^2 = 21,675.56
c = 147.23 ft
<span>Therefore the outfielder throws the ball at a distance of
147.23 ft towards the home plate.</span>
Answer:
The probability that the number drawn is less than 3 is 0.25
Step-by-step explanation:
Let us assume that each number is equally likely to be drawn. Let X be the number that is drawn, then
for
.
Then,
