So,
We can re-write these statements in mathematical form.
Let h represent Holly and j represent Julia.
First equation:
Second equation:
This is our System of Simultaneous Linear Equations.
I'll solve.
Substitute
Collect Like Terms
Subtract 35 from both sides
Multiply both sides by
j = 48
Substitute 48 for j in the first equation
h + 48 = 107
Subtract 48 from both sides
h = 59
Check
59 + 48 = 107
107 = 107 This checks.
59 = 35 +
59 = 35 + 24
59 = 59 This also checks.
Holly scored 59 points and Julia scored 48 points.
Answer:
b=-20
Step-by-step explanation:
solve simultaneously
4b-16=0
b-9=0
equalize the two equations
4b-16=0
4b-36=0
b=-20
Answer:
40.32 cm²
Step-by-step explanation:
The area of the small rectangle = 7 × 4 = 28 cm²
Given the ratio of the sides of similar rectangles = a : b , then
the ratio of the areas = a² : b²
Here ratio of sides = 4 : 4.8 = 1 : 1.2
ratio of areas = 1² : 1.2² = 1 : 1.44
Let x be the area of the larger rectangle then by proportion
= ( cross- multiply )
x = 40.32
Area of larger rectangle is 40.32 cm²
I think the answer is A. 40
Answer:
x =1
Step-by-step explanation: