Given:
Total number of students = 1400
The ratio of boys to girls is 3 to 4 for the school.
To find:
The number of boys and girls.
Solution:
We have, Boy : Girls = 3:4.
Let number of boys be 3x and number of girls be 4x.
Total number of students = 1400
Divide both sides by 7.
Now,
Number of boys 
Number of girls 
Therefore, the number of boys is 600 and number of girls is 800 in the Berkmar Middle school.
Answer:
P55,000
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale(s).
commission = rate × sales
commission = 0.10 × p550,000 = P55,000
The agent will receive P55,000 in commission.
_____
<em>Check</em>
The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.
It rounds up to 4 but its actully 3.8729833462074168851792653997824
<em>Complementary= 90 Degrees </em>
<em>Equation: x + x = 90 </em>
A = x
B = x + 32
<em>2x = 90 - 32 </em>
<em>2x = 58
</em>
<em>x = 29
</em>
<em>Angle A = 29 degrees
</em>
<em>Angle B = 61 degrees.</em>
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
