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igor_vitrenko [27]
3 years ago
6

Suzanne bought 6 paint sets. Each set contains the same number of brushes. She has 18 brushes. Write and solve an equation to de

termine the number of paint brushes that came in each paint set. Explain the strategy that you used to solve the equation.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

3

Step-by-step explanation:

Given that:

The number of paint sets, Suzanne bought= 6

As each set contains the same number of brushes.

Let x be the number of brushes each set contains.

So, the total number of brushes in 6 sets = 6x.

It is given that the total number of brushes she has is 18, which is equals to 6x.

So, the required equation is

6x=18

\Rightarrow x=\frac {18}{6}

\Rightarrow x=3.

Hence, the number of paint brushes each set contains is 3.

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A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

T = 700 * 9.81 - 700*1.5

= 5817 N.

8 0
4 years ago
The odds on (against) your bet are 6 to 5. if you bet $35 and win, how much will you gain?
dsp73

Answer:

if they win you put profit $100 and get your original $140 back betting and underdogs:the odds  for underdogs will have a plus (+) sign front and represent the .......

Step-by-step explanation: you can do the rests  you are smart

7 0
3 years ago
Write at least 2 numerical expressions for each written phrase below. Then, solve.
zloy xaker [14]

Answer:

a. \frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}

b. \frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols (  i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

\frac{3}{5}(7)

=\frac{3\times 7}{5}

=\frac{21}{5}

=4\frac{1}{5}

b. One sixth the product of four and eight,

\frac{1}{6}(4\times 8)

=\frac{4\times 8}{6}

=\frac{32}{6}

=5\frac{1}{3}

7 0
4 years ago
What is the greatest common factor?
dsp73

Answer:

the greatest common factor would be -8w^4x^2

Step-by-step explanation:

lets factor

(-8w^4x^2(x^2w-1)

8 0
4 years ago
Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
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