What you have to do is divide 35 by 5 to find one fith. You can see that one fith of the class is 7 so 14 pupils in the class is boys.
Answer:
A. x = 10 years
B. x = 20 years
Step-by-step explanation:
Given:
y = 0.7(200 - x)
Where,
y = target heart rate in beats per minute
x = person's age in years
How old is a person with a target heart rate of 133 beats per minute?
y = 0.7(200 - x)
133 = 0.7(200 - x)
133 = 140 - 0.7x
133 - 140 = -0.7x
-7 = -07x
x = -7/-0.7
x = 10 years
B. How old is a person with a target heart rate of 126 beats per minute?
y = 0.7(200 - x)
126 = 140 - 0.7x
126 - 140 = -0.7x
-14 = -0.7x
x = -14/-0.7x
x = 20 years
Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
It is a solution
Step-by-step explanation:
To check and see if it is a solution, we can substitute it in
-16 +2(-24) = -64
-16 -48 = -64
-64=-64
Since this is true, it is a solution
Are you asked to factor or what? I would write the 1st x-7y-12=0 and 3x+12y-36=0. and the 2nd one can be factored out. for example factor out a 3.
