Answer:
see graph...
B On a coordinate plane, a line goes through (0, 0) and (1, negative 4).
Step-by-step explanation:
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys
New ratio is 3:4 with 48 boys
48➗4= 12
So for girls 3x12= 36
<span>So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.</span>
Answer:
1. operation is addition
inverse is subtraction
to solve, subtract 7. d = -2
2. operation is subtraction
inverse is addition
To solve, add 57. t = 96
3. operation is division
inverse is multiplication
to solve, multiply 2. a = 12
4. operation is multiplication
inverse is division
to solve, divide -3. x = -4
Scene two because he has more than half of the lines
Answer:
Total weight = 70.5 kg
Step-by-step explanation:
Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.
2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each
2 pieces from the width of the rectangular frame, hence, they a length of 5 m each
To find the length of the diagonal, we can use Pythagoras Theorem:
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 5² + 12²
Hypotenuse² = 169²
Hypotenuse = 13
Hence, the length of the piece of metal placed at the diagonal is 13cm
Find the sum of all lengths of the metal pieces.
Total length = 12 + 12 + 5 + 5 + 13
Total length = 47 m
Total weight = 1.5 × Total length
Total weight = 1.5 kg/m × 47m
Total weight = 70.5 kg