Answer:
infinite solutions
Step-by-step explanation:
4x=4x
Divide each side by x
4x/x = 4x/x
4 =4
This is always true,no matter what value we put in for x. So there are infinitely many solutions to the equation.
Answer:
Stratified sampling
Step-by-step explanation:
In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.
We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.
This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.
Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes, this is therefore a stratified sampling.
We can see a right triangle here.
Diagonal is a hypotenuse of the right triangle. Two legs are equal 102 yards each.
We can use Pythagorean theorem
hypotenuse² = leg² + leg² = 2leg²
hypotenuse² = 2leg²
√hypotenuse² = √(2leg²)
hypotenuse = leg*√2
hypotenuse = 102*√2≈144.25 yards
the diagonal ≈144.25 yards
Answer:
19
Step-by-step explanation:
Since she had 12 butterflies left you just add 7 to it
Answer:
x = 4 , y = 1
Step-by-step explanation:
3x + 2y = 14 → (1)
x + y = 5 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 2x - 2y = - 10 → (3)
Add (1) and (3) term by term to eliminate y
x = 4
Substitute x = 4 into (2) and evaluate for y
4 + y = 5 ( subtract 4 from both sides )
y = 1
