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3 years ago

Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.

Mathematics

2 answers:

Kisachek [45]3 years ago

8 0

Answer:

$5.31 per pound.

Step-by-step explanation:

$21.25 for so

%21.25/4= $5.31

The answer is $5.31 per pound.

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

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Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn

slavikrds [6]

Answer:

252 pieces

Step-by-step explanation:

We need to convert 7 yds to inches

1 yd = 3 ft

so 7 yds * 3ft/yd = 21 ft

We know that 1 ft = 12 inches

21 ft * 12 inches/1 ft =252 inches

7 yds = 252 inches

We can cut 252 inch pieces from the yarn

7 0

4 years ago

A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca

77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

$N=N_0e^{-rt}$

N= Number of bacteria after t minutes.

$N_0$ = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

$N_0$ = 500

t=11 minutes

r=?

$N=N_0e^{-rt}$

$\therefore 200=500e^{-11r}$

$\Rightarrow e^{-11r}=\frac{200}{500}$

Taking ln both sides

$\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|$

$\Rightarrow {-11r}=ln|\frac{2}{5}|$

$\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}$

To find the time when there will be 50 bacteria remaining, we plug N=50, $N_0$ = 500 and $r}=\frac{ln|\frac{2}{5}|}{-11}$ in exponential decay equation.

$50=500e^{-\frac{ln|\frac25|}{-11}.t}$

$\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|$

$\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}$

$\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}$

$\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}$

$\Rightarrow t\approx 28$ minutes

There will be 50 bacteria remaining after 28 minutes.

3 0

3 years ago

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest

Svetradugi [14.3K]

Answer:

110sin(72°) feet

Step-by-step explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)

6 0

3 years ago

|4x+8|> 2<br> what is the answer

Nookie1986 [14]

Step-by-step explanation:

|4x + 8| > 2

Therefore 4x + 8 > 2 or 4x + 8 < -2.

When 4x + 8 > 2, 4x > -6, x > -1.5.

When 4x + 8 < -2, 4x < -10, x < -2.5.

Hence, x < -2.5 or x > -1.5.

5 0

3 years ago

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Can you solve number 74 plzzzzzzzzzzzzzzzzzzz

Mila [183]

The answer would be graph b.
It would be graph b because the point would be five to the left(West) and two down(South).

3 0

3 years ago