Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows at a rate of 0.25 cm per week. Let t be the time in weeks. Which compound inequality models the scenario? 0.25 + 7t > 11 or 0.25 + 7t ≤ 15 7 + 0.25t ≥ 11 or 7 + 0.25t < 15 11 ≤ 0.25 + 7t < 15 11 < 7 + 0.25t ≤ 15

Last option

Step-by-step explanation:

After t weeks, Clara's hair will be 7 + 0.25t cm long. "No longer than" means that we use the symbol ≤ and "more than" means that we use the symbol >, hence, the answer is 11 < 7 + 0.25t ≤ 15.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions