<span>A quarter of the marbles are red, so there are 124/4 = 31 red marbles. The rest are blue, so there are 124 - 31 = 93 blue marbles.</span>
Diagonal of a rectangle formula:
Diagonal = √l² + w²
Diagonal = √10² + 8²
Diagonal = √100 + 64
Diagonal = √164
Diagonal = 12.806 feet.
Or you can use the pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a triangle.
a²
+ b² = c² ; where a and b represents the lengths of the triangle and c
is the hypothenuse. In this case, the lengths are 10 ft and 8ft.
10² + 8² = 100 + 64 = 164 ; This represents c².
c = √c² = √164 = 12.806 ft
Answer:

Step-by-step explanation:
Let's set up a proportion using the following setup.

We know 30 buses can carry 1,500 people.

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.


Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

5 buses can carry 250 people.
Concept: Solution of the given attachment is based on the addition of two vectors as given below.
Consider two vectors P and Q, then resultant of these two vectors is given as,
R = P + Q
To find the addition of G & H vectors. That is G + H =?
In the given figure;
Vector A = - Vector G because both are in opposite directions -----(i)
From the figure,
A + H = F --------------- using the given concept ---------(ii)
Now, shall replace the value of A from equation (i) in equation(ii)
- G + H = F
or, G + (- H) = - F
Since the vector addition of G & H is not equal to F.
Hence, the given statement G + H = F is False.
The y-intercept is 60
the slope is 30
the equation of the line is y=30x+60
the ordered pair (4,120) represents and increase of 30 minutes per hour