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Sliva [168]
3 years ago
15

In two weeks, your class collected more than 380 cans of food for the annual food drive. In the first week, 145 cans were collec

ted. How many cans c of food were collected in the second week? Write and solve an inequality.
145 + c < 380; c < 235


c + 145 > 380; c > 525


c − 145 ≥ 380; c ≥ 525


145 + c > 380; c > 235
Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

Step-by-step explanation:

145+c>380 subtract 145 from each side

c>235 so the answer is

145+c>380; c>235

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On a multiple choice test, if you randomly guessed on three questions, then what is the probability you got at least one of them
snow_lady [41]

Answer:

Number of Questions =3

Probability of giving a correct answer

                              =\frac{1}{3}

Probability of giving two correct answers

                       =\frac{2}{3}

Probability of giving all correct answers

            =\frac{3}{3}\\\\=1

Probability that at least one of them is correct

         =_{1}^{3}\textrm{C}\\\\=\frac{3!}{(3-1)! \times1!}\\\\=3 \text{ways}\\\\=\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \\\\=\frac{1}{27}

Probability that two of them is correct

         =_{2}^{3}\textrm{C}\\\\=\frac{3!}{(3-2)! \times2!}\\\\=3 \text{ways}\\\\=\frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \\\\=\frac{8}{27}

Probability that all of them is correct

         =_{3}^{3}\textrm{C}\\\\=\frac{3!}{(3-3)! \times3!}\\\\=1 \text{way}\\\\=1

So, Required probability

         =\frac{1}{27} \times \frac{8}{27} \times 1\\\\=\frac{8}{729}

6 0
3 years ago
24<br> Find the value of x.<br> 4<br> (7x-1)<br> (6x - 1)
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Answer:

x = 14

Step-by-step explanation:

Two lines given in the picture intersect each other at a point.

Given angles are the linear pair of angles.

Since, linear pair of the angles is supplementary,

(7x - 1)° + (6x - 1)° = 180°

(7x + 6x) + (- 1 - 1) = 180

13x -2 = 180

13x = 180 + 2

x = \frac{182}{13}

x = 14

Therefore, x = 14 will be the answer.

8 0
3 years ago
Compute the exact value of the function for the given x-value without using a calculator. Show your work. f(x) = 6x for x = 3
Natasha_Volkova [10]
Since x = 3, plus 3 into x and you should get f(3) = 6(3) which is equal to the answer 18.
6 0
4 years ago
PLEASE HELP ME! I REALLY NEED IT! <br> Write the equation of the line in point-slope form.
kolezko [41]

Answer:

y=-x/3-8

Step-by-step explanation:

First we find 2 points:

(0,-8) and (6,-10)

then substitute in y=ax+b equation

-8=0a+b, b=-8

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6 0
4 years ago
Use differentials to estimate the amount of material in a closed cylindrical can that is 30 cm high and 12 cm in diameter if the
jeka94

Answer:

the amount of material in a closed cylindrical can is  22.61944 cm^{3}

Step-by-step explanation:

Given:

  • Height: 30 cm
  • Diameter: 12  
  • Top and bottom is 0.2 cm thick
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The volume of cylindrical can by diameter is:

V = \frac{\pi}{4}\cdot D^{2}\cdot l

We use differentials to estimate:

\Delta V = \frac{\partial V}{\partial D} \cdot \Delta D + \frac{\partial V}{\partial L} \cdot \Delta L

The partial derivatives are presented hereafter:

\frac{\partial V}{\partial D} = \frac{\pi}{2}\cdot D\cdot l

= \frac{\partial V}{\partial D} = \frac{\pi}{2}\cdot (12\,cm)\cdot (30\,cm)

=\frac{\partial V}{\partial D} \approx 565.487\,cm^{2}

= \frac{\partial V}{\partial l} = \frac{\pi}{4}\cdot D^{2}

= \frac{\partial V}{\partial l} = \frac{\pi}{4}\cdot (12\,cm)^{2}

= \frac{\partial V}{\partial l} = \frac{\pi}{4}\cdot (12\,cm)^{2}

Hence, the estimated amount of material is:

\Delta V = (565.487\,cm^{2})\cdot (0.02\,cm) + (113.097\,cm^{2})\cdot (0.1\,cm)

= 22.61944 cm^{3}

So the amount of material in a closed cylindrical can is  22.61944 cm^{3}

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