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Paladinen [302]
3 years ago
15

A bag of mixed nuts contains almonds and hazelnuts there are (6x + 13) nuts in particular bag

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

3x+20

Step-by-step explanation:

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an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can  fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is =\frac{1}{x}

The rate of filling of inlet pipe is =\frac{1}{x-1}

The rate of filling of both pipes is = \frac 1{10}

According to the problem,

\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}

\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}                              [ simplifying the fraction]

\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}                            

\Rightarrow 10(2x-1)= x^2-x                [ Multiplying 10(x²-x) both sides]

\Rightarrow x^2-x= 20x-10

\Rightarrow x^2-x-20x+10=0             [ simplifying ]

\Rightarrow x^2-21x+10=0

\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}       [ applying quadratic formula]

\Rightarrow x=\frac{21\pm21.93}{2.1}

⇒ x= 21.465,  -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0
3 years ago
How many 1/2cups are in 7/8cups
frozen [14]

Answer:

Step-by-step explanation:

7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply

7/8 * 2 = 14/8 = 1 3/4 <==

4 0
3 years ago
. A soccer team played 32 games. If they won 25% of them, how many games did the team win?V
Bas_tet [7]

Answer:

8\ games

Step-by-step explanation:

Let

x----->number of games won by the football team

we know that

25\%=25/100=0.25

so

x=0.25(32)=8\ games

8 0
3 years ago
Can you help me out with this one?
shepuryov [24]

Answer: 98

Step-by-step explanation:

98 / (-7) = -14

7 0
3 years ago
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2Y=5XSquared<br> I don’t have the power symbols on my phone.<br> How do I solve for Y?
gizmo_the_mogwai [7]
Divide both sides by two.
6 0
3 years ago
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