Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
Answer:
The answer to your question is c = 
Step-by-step explanation:
Data
right triangle
short leg = 17 cm
long leg = 48 cm
hypotenuse = ?
Process
-Use the Pythagorean theorem to find the answer
c² = a² + b²
c = hypotenuse
a = short leg = 17 cm
b = long leg = 48 cm
- Substitution
c² = 17² + 48²
-Simplification
c² = 289 + 2304
c² = 2593
-Result
c = 
Answer:
Step-by-step explanation:
1) 4x + 3 <= 3x - 5
Subtract 3 from both sides
4x + 3-3 <= 3x - 5 -3
4x <= 3x - 8
Subtract 3x form both sides
4x - 3x <= 3x -3x - 8
x <= -8
Step by step explanation = 76
Answer:
square root of 2
Step-by-step explanation:
Sides are 1 and 1 and the hypotenuse is the longest side (opposite the right angle)
We can use pythagerouses theorem : a^2+b^2=c^2
this means that 1^2+1^2=c^2
1+1=c^2
2=c^2
c=2/sqrt
c is the square root of 2
the hypotenuse is the square root of 2