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3 years ago

write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality

1 answer:

6 0

Sally had 8 dollars right before she was paid for working 4 hours. Sally has at least 32 dollars now.
how much was she paid per hour?
$4x + 8 \geqslant 32$
$4x \geqslant 24$
$x \geqslant 6$
Sally was paid at least 6 dollars /hour.

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⬆️ ⬆️ Question Please Help ☹

zysi [14]

Answer:

See the Venn diagram attached

Numbers given:

Total: 100
Either a cat of a fish: 70
Cat: 46
Cat and fish: 16

Neither a cat or a fish: 100 - 70 = 30

Fish: 70 - (46 + 16) = 70 - 62 = 8

Required probabilities are:

a) P(neither) = 30/100 = 0.3
b) P(f) = (16 + 8)/100 = 0.24
c) P(f not c) = 8/100 = 0.08

6 0

3 years ago

Waves with an amplitude of 2 feet pass a dock every 30 seconds. Write an equation for a cosine function to model the height of a

kolbaska11 [484]

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

$\left | a \right |$ = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude $\left | a \right |$ = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).

4 0

3 years ago

The volume of a cylinder is 770 cm. It's height is 5 cm. Find its approximate radius.

Alinara [238K]

Hey there,

The equation for the volume of a cylinder is V = πr²h.

The first step into finding the radius is to plug in what you already know into the equation:

770 = πr²5

We divide both sides by 5:

154 = πr²

Now we divide both sides by π:

49.0197224723 = r²

Finally we just do the square root of 49.0197224723:

7.0014086063 = r

The radius therefore would be about 7cm.

Hope I helped,

Amna

3 0

3 years ago

The area A(r)(in square meters) of a circular algae colony with radius r meters is given by A(r)=pir^2. Basically that's A(r)= p

Taya2010 [7]

Answer:

The expression provided by the area (square meters) is given by: $A(t) = pi \frac{100t^{2} }{9}$ .

Step-by-step explanation:

The area of the algae colony is a function of the radius r (meters), so $A(r) = \pi r ^ 2$ .

The radius of the circle formed by the algae colony is a function of time t (in minutes), so $M (t) = \frac{10t }{3}$ . So,

$A(r) = \pi r ^ 2$ [Substituting the expression for radius]

$A(t) = pi (\frac{10t }{3})^{2} = pi \frac{100t^{2} }{9}$

Then the expression provided by the area (square meters) is given by: $A(t) = pi \frac{100t^{2} }{9}$ .

7 0

3 years ago

The mathematics class took an educational field trip. There were 360 total students in buses and vans. If each bus holds 55 stud

saveliy_v [14]

I think if you take 360 and divide it by 55 thats how many busses they used. Then take that answer and divide it by 13 to find how many vans were used.

5 0

3 years ago