We have to add the amounts:
4(2x+3y) + 3(5x+4)
First, though, we have to distribute:
4*2x + 4*3y + 3*5x + 3*4
8x + 12y + 15x + 12
Now we just need to simplify:
23x + 12y + 12
The students planted 23x + 12y + 12 trees total.
Answer:
300L per hour
Step-by-step explanation:
The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.
Rate of change of volume of blood = 
= 
= 300L/hour
The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.
<span>Y = 2x + 4
16x + 4y = 40
substitute </span>Y = 2x + 4 into <span>16x + 4y = 40
</span><span>16x + 4y = 40
</span>16x + 4(2x + 4) = 40
16x + 8x + 16 = 40
24x = 40 - 16
24x = 24
x = 1
Y = 2x + 4
Y = 2(1) + 4
Y = 6
answer (1, 6)
Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Answer:
1661.06 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 11.5 cm
Size of synthetic leather needed =?
To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:
Radius (r) = 11.5 cm
Pi (π) = 3.14
Area of ball =?
The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:
A = 4πr²
A = 4 × 3.14 × 11.5²
A = 4× 3.14 × 132.25
A = 1661.06 cm²
Thus, 1661.06 cm² of synthetic leather needed to cover the ball.